A wagon weighing 1000kg moves 50km/h on smooth rails. Later, a mass of 250 kg is placed in the wagon what is the velocity with which it moves?

Answers

Answer 1

The final velocity V is 40 km/h.

The final velocity V.

Mass of wagon m = 1000 kg

Initial velocity of wagon v = 50 km/h

Mass dropped velocity M = 250 kg

The final velocity =V

Initial system linear momentum [tex]P_{i}[/tex] = mv

=1000*50

=5*[tex]10^{4}[/tex] kg km/h

The system with the final velocity (wagon + mass dropped) be V .

Final system linear momentum [tex]P_{f}[/tex] = (m + M) V

=(1000+250)V

=1250 V

Basic principle of conservation of linear momentum,

[tex]P_{f}[/tex] = [tex]P_{i}[/tex]

1250V=5*[tex]10^{4}[/tex]

V=[tex]\frac{5*10^{4} }{1250}[/tex]

V= 40 km/h

So, the final velocity V is 40 km/h.

Learn more about problems on velocity.

https://brainly.com/question/19905657


Related Questions

Jerry is riding his motorcycle at a speed of 45 m/s. He accelerates at a speed of -8 m/s² for 4seconds. How fast will he be going

Answers

Given

Initial speed, u=45 m/s

Acceleration

[tex]a=-\frac{8m}{s^2}[/tex]

Time taken, t=4 sec

To find

The final speed

Explanation

Let the speed he be going in be v

Thus,

[tex]\begin{gathered} a=\frac{v-u}{t} \\ \Rightarrow-8=\frac{v-45}{4} \\ \Rightarrow-32+45=v \\ \Rightarrow v=13\text{ m/s} \end{gathered}[/tex]

Conclusion

The velocity he is going in is 13 m/s.

The question is in the attached image:)

Answers

No count number what time of the 12 months it's far, the northern and the southern hemisphere will usually revel in a season contrary to the other.

Therefore, if the northern hemisphere has the summer time, then the southern hemisphere will revel in the wintry weather season. When we are saying contrary we additionally suggest that once it's far spring season in  the northern hemisphere, then it's far autumn season in the southern hemisphere.

The most important motive for this phenomenon is the lean of the earth on its axis. Since the earth is tilted slightly, one of the hemispheres will usually get hold of greater and direct rays from the solar. It approach that once the earth is tilted in the direction of the solar, then the northern hemisphere gets direct solar rays that are skilled through us because the summer time.

During this time the southern hemisphere stories the wintry weather season. This phenomenon maintains alternating because the planet revolves across the sun. This summer time lasts for 1/2 of a 12 months, or instead 1/2 of a revolution.

Learn more about seasons here https://brainly.com/question/15734021

#SPJ1

a hydraulic lift requires a minimum effort force of 14.4N to lift a patient of a mass 82kg .How much is the effort piston area if the resistance piston has an area of 1.2m²

Answers

The output force of a hydraulic lift is given by:

[tex]F_2=\frac{A_2}{A_1}F_1[/tex]

In this case we need to lift a patient of mass 82 kg, that means that the lifting force has to be equal to:

[tex]F_2=82\cdot9.8=803.6[/tex]

Now that we know that we plug the values given, in this case we have:

[tex]\begin{gathered} 803.6=\frac{1.2}{A_1}(14.4) \\ A_1=\frac{1.2}{803.6}(14.4) \\ A_1=0.022 \end{gathered}[/tex]

Therefore the area of the effort piston is 0.022 squared meters (rounded to three decimal).

my opponent will say that recycling is in an issue here but that's just because they don't care about the sea turtles or other marine life affected by plastic in the ocean what is a logical fallacy​

Answers

Logical fallacy: It happens when someone makes the claim that something must be true of the entire thing since it is true of some portions of the entire thing.Its basically a Bad reasoning or a bad argument against a person argument

The main three logical fallacies

AD HOMINEM
is intended at an individual rather than the argument they are making

STRAW MAN
presenting someone's point falsely or inaccurately in order to undermine it.

SLIPPERY SLOPE
supposing that a single, relatively unimportant incident will have a number of unforeseen effects and produce a noteworthy result.

Three point charges are located along the x-axis: q1 = +5.0 μC is at 20 cm, q2 = +4.0 μC is at 0 cm, and q3 = +10.0 μC is at –30 cm. What is the net electrostatic force on q2? 0.50 N to the left 500 N to the right 0.50 N to the right 8.5 N to the left

Answers

The correct answer is option C, 0.50 N to the left.

Given,

The charges,

q₁=5×10⁻⁶ C

q₂=4.0×10⁻⁶ C

q₃=10.0×10⁻⁶ C

The distance between the 1st charge and the second charge, r₁=20 cm=0.20 m

The distance between 2nd charge and the 3 rd charge, r₂=30 cm=0.30 m

As all the charges have the same sign, the nature of the force is repulsive. Thus the force applied by the q₂ is directed to the left. And the force applied by the charge q₃ is pointed to the right.

From Coulomb's law, the net electrostatic force on q₂ is given by,

[tex]\begin{gathered} F=\frac{kq_1q_2}{r^2_1}-\frac{kq_2q_3}{r^2_2} \\ =kq_2(\frac{q_1}{r^2_1}-\frac{q_3}{r^2_2}) \end{gathered}[/tex]

On substituting the knwon values,

[tex]\begin{gathered} F=9\times10^9\times4\times10^{-6}(\frac{5\times10^{-6}}{0.20^2}-\frac{10\times10^{-6}}{0.30^2}) \\ =0.5\text{ N} \end{gathered}[/tex]

Thus the magnitude of the net electrostatic force on the charge q₂ is 0.5 N

As the force to the left is greater than the force to the right, the net force will be directed to the left.

Therefore the correct answer is option A, 0.50 N to the left.

Please help!!
Question in the picture

Answers

Set of equation which is true for the situation is

c) 2SA = SB  and 2BA=BB

What is pressure?

Force applied perpendicular to the surface of an object per unit area is called pressure

SI unit of pressure is one newton per square meter (N/m2).

Given, length = 3 foot, width= 1 foot and height = 1 foot

1foot = 0.305m

Volume of tank A = 3*0.305*0.305*0.305

= 0.085

density of water= 1000kg/m^3

Pressure= 1000kg/m^3 *gravity * height

=1000kg/m^3 * 9.8 m/s^2* 0.305

=2989 N

Force exerted by water at bottom= P * A

                                                        = 2989*0.085

                                                         =254.065 Nm^2

similarly, for tank B

Given ,length = 6 foot, width =1 foot and height= 1foot

Volume of tank B = 6*0.305*0.305*0.305

                               =0.17

pressure= 1000kg/m^3 * 9.8m/s^2 * 0.305

               = 2989 N

Force exerted by water at bottom = P*A

                                                         = 2989 * 0.17

                                                          =508.13 Nm^2

Hence proved that pressure exerted by tank B is twice that of tank A.

And same goes for pressure exerted on the side of the tank.

To know more about pressure, refer

https://brainly.com/question/26101731

#SPJ13

Given a metal loop of wire with an area of 400 square centimeters and a magnetic field of 0.0875 Tesla through it. If the magnetic field is constant everywhere through the loop then which of these is the magnetic flux through the loop in SI units? [4. Define magnetic flux] 0.00350 0.0140 286

Answers

We will have that the value will be:

[tex]\Phi=(0.04m^2)(0.0875T)\Rightarrow\Phi=0.00350m^2T[/tex]

A rectangular coil of dimensions 5.40cm x 8.50cm consists of 25 turns of wire. The
coil carries a current of 15.0mA.
(a) Calculate the magnitude of its magnetic moment [5]
(b) Suppose a magnetic field of magnitude 0.35T is applied parallel to the plane of
the loop. What is the magnitude of the torque acting on the loop? [5]
(c) Calculate the magnitude of the torque on the coil when 0.35T magnetic field
makes angles of 600 and 00 with μ. [5]
(d) Show that the units A.m2.T Reduce to N.m. [

Answers

A. Magnetic moment will be 17.212*[tex]10^{-4} A-m^{2}[/tex].

B. Torque will be 6.024* [tex]10^{-4} N-m[/tex]

C. 9f B = 35 make angle 60°

then T = 25 × 15,×10³× (5.40x8.50) ×10 × 0.35 Sm 60°

5.22x[tex]10^{-4}[/tex]  n-m

of ∅ = 0° t = 0 ∵ sm0 = 0

As it is a Torque NIAB

= Am². Tesla

= N-3.

Rectangular coils have four sides and slightly rounded edges and are generally cheaper to manufacture. Importantly they cannot handle radial forces more effectively than their circular counterparts and most lose their rectangular shape during short circuits. A rectangular coil carrying current is placed in a uniform magnetic field. The direction in which the spool is difficult to rotate.

The motor works on the principle that when a rectangular coil is placed in a magnetic field and an electric current is applied, a force acts on the coil, causing it to rotate continuously. A toroidal transformer is a type of electrical transformer that consists of a toroidal or annular core. Its primary and secondary windings are wound across the surface of the torus core and separated by insulating material. This configuration minimizes flux leakage.

Learn more about Rectangular coils here:-

https://brainly.com/question/15585226

#SPJ1

Help! I've tried solving it a few times!


An electron travels 2.68 m in 6.11 × 10^-8 s. How fast does it travel in cm/s? Answer in units of cm/s.

Answers

If an electron travels 2.68 m in 6.11 × 10^-8 s, it will travel at a speed of 43.86 * [tex]10^{8}[/tex] cm / s

v = d / t

v = Velocity

d = Distance

t = Time

d = 2.68 m

t = 6.11 * [tex]10^{-8}[/tex]

v = 2.68 / 6.11 * [tex]10^{-8}[/tex]

v = 0.4386 * [tex]10^{8}[/tex] m / s

v = 0.4386 * [tex]10^{8}[/tex] * 10² cm / s

v = 43.86 * [tex]10^{8}[/tex] cm / s

One meter is equal to 100 centimeters. So in order to convert a meter value into centimeter, multiply the meter value by 100 or 10².

Therefore, the electron travels at 43.86 * [tex]10^{8}[/tex] cm / s

To know more about velocity

https://brainly.com/question/19979064

#SPJ1

A lamp draws 0.50 A from a 120 V generator. (a) How much power does the generator deliver to the lamp? (b)How much electric energy does the lamp convert to light and heat in a period of 5.0 minutes?

Answers

Given:

The lamp draws the current is

[tex]I=0.50\text{ A}[/tex]

The voltage supplied by the generator is

[tex]V=120\text{ V}[/tex]

The time for which energy converted is

[tex]\begin{gathered} t=5\text{ min} \\ t=5\times60\text{ s} \\ t=300\text{ s} \end{gathered}[/tex]

Explanation:

(a)

The power delivered by the generator is given by

[tex]P=VI[/tex]

Plugging all the values in the above equation, we get

[tex]\begin{gathered} P=120\text{ V}\times0.50\text{ A} \\ P=60\text{ watt} \end{gathered}[/tex]

The power delivered by the generator is

[tex]60\text{ watt}[/tex]

(b)

Energy is converted by the electric lamp is given by

[tex]E=Pt[/tex]

Plugging all the values in the above relation, we get

[tex]\begin{gathered} E=60\text{ watt}\times300\text{ s} \\ E=18000\text{ J} \end{gathered}[/tex]

Thus, the electric energy convert by the lamp is

[tex]18000\text{ J}[/tex]

I need helppp

What is the force applied to the small piston,f,in Lb that is required to deliver a working force,F, of 1000 lb? The area of the small piston,a, is 0.1963 sq in. and the area of the large piston,A, is 6.28 sq in.​

Answers

The area of the small piston, a, is 0.1963 sq in. and the area of the large piston, A, is 6.28 sq in.​ The force applied to the small piston (f)= 31.21 lb that is required to deliver a working force (F)= 1000 lb

What is force?

Force is a physical quantity that means if some kind of external or internal affair is happen on a object and the object is move a bit that means a force is act on it. Its a vector quantity.

How can we calculate the force?

To calculate the force of the small piston f we are using the formula,

p=P

Or, f/a=F/A

Here we are given,

a= The area of the small piston = 0.1963 sq in

A= The area of the big piston = 6.28 sq in.

F= The force of the big piston = 1000 lb.

We have to calculate the force of the small piston = f

Now we put the values in above equation we get,

f / a = F / A

Or, f = a F/A

Or, f = [tex]\frac{0.1963 \times 1000}{6.28}[/tex]

Or, f = 31.21 lb

Now from the calculation we can say that, The force applied to the small piston (f)= 31.21 lb

Learn more about force:

https://brainly.com/question/25239010

#SPJ10

If Hubble's constant had a value of 95 km/s/Mpc, what would be the age of the Universe?

Answers

The age of the Universe is  13.8 ± 0.1 billion years.

What is Hubble's constant?

The ‘hubble constant, h0’ is used to determine the size of the universe. It is a  measurement that is used in describing the universe's expansion. It was a constant introduced by Edwin Hubble. He found out that the farther the distance of the galaxies from the Earth, the faster they would appear to be moving.

One of the most important numbers in cosmology Hubble's constant because it is needed to estimate the size and age of the universe which is  13.8 ± 0.1 billion years.

The age of the universe using Hubble's constant which is  13.8 ± 0.1 billion years.

To learn more about Hubble's constant refer to the link:

brainly.com/question/4445423

#SPJ1

can you help me with this ap physics class from my school

Answers

We know that the components of any vector along the x and y axes are given by:

[tex]\begin{gathered} v_x=v\cos\theta \\ v_y=v\sin\theta \\ \text{ where:} \\ v\text{ is the magnitude of the vector.} \\ \theta\text{ is the angle from the }x\text{ axis to the vector. } \end{gathered}[/tex]

In this case we know the tha magnitude of the vector is 6.96 m/s; we also know that the angle from the x-axis to the vector is 51.5° (the sum of angles θ and the 26.5° angle); then we have:

[tex]\begin{gathered} v_x=6.96\cos51.5=4.33 \\ v_y=6.96\sin51.5=5.45 \end{gathered}[/tex]

Therefore, the components of the vector are:

[tex]\begin{gathered} v_x=4.33 \\ v_y=5.45 \end{gathered}[/tex]

If a car accelerated from 55 mi/hr to 16 mi/hr. in 3.2s how far did the car go while it was accelerating?

Answers

The cargo while it was accelerating at a distance of  0.602 meters.

Acceleration is the name we give to any system wherein the speed changes. on the grounds that speed is a pace and a direction, there are only two approaches so that you can boost up.

Velocity is the rate of change of displacement. Acceleration is the price of alternate velocity. velocity is a vector quantity because it consists of both significance and direction. Acceleration is likewise a vector quantity as it's far simply the charge of alternate velocity.

initial velocity = 55 m/hr

                   = 55/60× 60 m/sec

                    = 0.0152 m/sec

final velocity = 16 mi/hr

                      = 16/3600

                     = 0.0044 m/sec

time = 3.2 sec

V = u -  at

a = ( U - V )/t

  =  (0.0152 - 0.0044)/t

  = 0.0108 m/sec²

S = ut + 1/2at²

   =  0.0152 × 3.2 sec + 1/2 × 0.0108 m/sec² ×  (3.2)²

   = 0.0486 + 0.553

   = 0.602 meter.

Learn more about acceleration here:-https://brainly.com/question/460763

#SPJ1

                                             

Divya and Melissa go to a restaurant. They decide to try something they have not eaten before and order chicken sandwiches with sriracha sauce. Both Divya and Melissa find it difficult to eat the sandwiches as they feel the sandwiches are too spicy. Which of the following processes help them identify the spicy taste?

Answers

The processes that help Divya and Melissa identify the spicy taste of the chicken sandwiches with sriracha sauce is sensation.

Sensation is the process in which one feels something after being in physical contact with something. As Divya and Melissa eats the chicken sandwiches with sriracha sauce, their senses tells that the food is spicy.

Acculturation is the process in which one adopts and adjusts to a new cultural environment. Homogenization is the process in which two non-soluble liquids are mixed uniformly. Adaptation is the process of changing one's trait to a new environment.

Therefore,  the processes that helps them identify the spicy taste is sensation.

To know more about sensation

https://brainly.com/question/14126075

#SPJ1

A shopper in a supermarket pushes a loaded cart with a horizontal force of 14 N. The cart
has a mass of 32 kg.
The acceleration of gravity is 9.8 m/s
2
.
Disregarding friction, how far will the cart
move in 4 s, starting from rest?
Answer in units of m.

Answers

Answer:

ΔS = 3.5 m

Explanation:

First, apply the 2º Newton's Law to find the resulting acceleration.

F = m × a

F = m × a

14 = 32 × a

a = 14 /32 = 7/16

a = 0.4375 m/s²

Then, we must apply the equation of accelerated movement:

ΔS = V₀*t + (1/2)*a*t²

Starting from the rest and using the value of acceleration:

ΔS = 0*4 + (1/2)*(0.4375)*(4)²

ΔS = (1/2)*(0.4375)*(16)

ΔS = 3.5 m

The highest freefall jump on record is from a height of almost 38,000 m. At this height, the acceleration of gravity is slightly weaker than the accelera
of gravity on the surface of Earth. Although the skydiver used a parachute to slow himself down below a certain altitude, how would the increasing
acceleration impact his velocity and rate of displacement covered?
BIU
S2
X

Answers

Increasing his acceleration will impact his velocity and rate of displacement covered in that as the speed increases due to the increased rate of acceleration, the rate of air resistance also increases.  

What is air resistance?

Air resistance is a force created by air. When an item moves through the air, the force operates in the opposite direction.

When a diver descends, the force of air resistance acts to counteract the force of gravity. As the skydiver falls faster and faster, the quantity of air resistance grows until it equals the magnitude of gravity's force.

A balance of forces is achieved when the force of gravity equals the force of air resistance, and the skydiver no longer accelerates. The skydiver reaches what is known as terminal velocity.

Learn more about air resistance:

https://brainly.com/question/16859536
#SPJ1

a javelin is thrown at 28.5m/s from flat ground at a 43.2 degree angle. How long does it take to reach its maximum height? IN SECONDS

Answers

The time taken for the javelin thrown at 28.5 m/s from flat ground at a 43.2 degree angle to reach the maximum height is 2.0 s

How do I determine the time taken to reach the maximum height?

From projectile motion, we understand that the time taken to reach maximum height is given as:

t = uSineθ / g

Where

t is the time to reach maximum heightu is the initial velocity θ is the angle of projectiong is acceleration due to gravity

Now, using the above formua, we can obtain the time taken for the javelin to reach the maximum height as follow:

Initial velocity (u) = 28.5 m/s

Angle of projection (θ) = 43.2 degrees

Acceleration due to gravity (g) = 9.8 m/s²

Time taken to reach the peak (t) = ?

t = uSineθ / g

t = (28.5 × Sine 43.2) / 9.8

t = 2.0 s

Thus, the time taken to reach maximum height is 2.0 s

Learn more about time:

https://brainly.com/question/17209215

#SPJ1

A vector is 148 m long and
points in a -96.3 degree
direction.
Find the x-component of the
vector.

Answers

The x-component of the vector is determined as -16.24 m.

What is the x-component of a vector?

The x-component of a vector is the vector component measured along x - direction. It is the vector acting in the x-coordinate.

The magnitude of x -component of a vector is given by the following formula as shown below;

Vₓ = V cosθ

where;

Vₓ is the x - component of the vectorV is the magnitude of the vector = 148 mθ is the angle of the vector = -96.3 degrees

Vₓ = 148 m x cos(-96.3)

Vₓ = -16.24 m

Learn more about x - component of a vector here: https://brainly.com/question/28002904

#SPJ1

Answer:

Y= -147

X= -16.24

Explanation:

Please help me understand this I go to get it

Answers

Answer:

Vx = 150 * cos 53 = 90.3 m/s     horizontal speed

Vy = 150 * sin 53 = 120 m/s      vertical speed

t1 = 120 / 9.8 = 12.2 sec       time to reach vertical height  (vy = 0 at apex)

H1 = 1/2 g t^2 = 9.8 / 2 * 12.2^2 = 729 m    height risen above cliff

729 + 405 = 1134 m      total height above striking point

H = 1/2 g T^2          where T is time to fall 1134 m

T = (2 * 1134 / 9.8)^1/2 = 15.2 sec

T + t1 = 15.2  + 12.2 = 27.4 sec total time in air

Sx = Vx * 27.4 = 90.3 * 27.4 = 2470 m   total horizontal distance

An electron moves between the ends of a 9.00 volt battery. How much work is done on the electron? A)0.78 x10^-15 J B)9.00 x10^-17 J C)1.44 x10^-18 J D)25.0 x 10^-20 J E)15.3 x 10^-20 J

Answers

When an electron moves between the ends of a 9.00-volt battery, the work done on the electron is 1.44 * 10⁻¹⁸ Jouoles; option C

What is the work done on an electron?

The work done in moving an electron between two points is defined as the product of the potential difference between the points and the charge on an electron.

Mathematically;

Work done = ΔV * q

where;

ΔV is the potential difference between the points

q is the charge on the electron.

The potential difference between the two points is the work done in moving a unit positive charge from one point to the other in the circuit.

The charge, q on an electron is 1.609 * 10⁻¹⁹ Coulombs.

For the given electron that moves between the ends of a 9.00-volt battery;

ΔV = 9.000 Volts

q =  1.609 * 10⁻¹⁹ Coulombs

Work done = 9.000 * 1.609 * 10⁻¹⁹

Work done = 1.44 * 10⁻¹⁸ Jouoles

Learn more about work done on electrons at: https://brainly.com/question/20410981

#SPJ1

The potential energy for a mass on a spring is proportional to the square of which of these quantities?
A. mass
B. frequency
C. displacement
E. period displacement velocity​

Answers

Answer:

C. Displacement

Explanation:

A satellite orbiting Earth at an orbital radius r has a velocity v. Which represents the velocity if the satellite is moved to an orbital radius of 5r?(1 point)

Answers

The equation which represent the velocity, if the satellite is moved to an orbital radius of 5r is V = V/[tex]\sqrt\\5[/tex].

What is Orbital velocity?

Orbital velocity or orbital speed is the minimum velocity a body must maintain to stay in an orbit. Due to the inertia of a moving body, the body has the tendency to move on in a straight path.

It is given that the radius is 5r

To find out the equation which represent the velocity if the satellite is moved to an orbital radius of 5r.

Mathematically, the orbital velocity is calculated by the formula:

V = [tex]\sqrt{GM}[/tex]/r

where, V = orbital velocity,

G = gravitational constant

M = mass of a satellite

r = radius

Substituting the value of r in this equation, we have:

V = [tex]\sqrt{GM}[/tex]/r

V = 1/ [tex]\sqrt{5}[/tex] ×  [tex]\sqrt{GM}[/tex]/r

V = [tex]\sqrt{GM}[/tex]/r

Therefore,

V = 1/ [tex]\sqrt{5}[/tex]  × V

V = V/[tex]\sqrt{5}[/tex]

Learn more about Orbital velocity here:

https://brainly.com/question/15886625

#SPJ1

A 100 kg man and 50 kg woman on ice
skates stand facing each other. If the
woman pushes the man backwards so that
his final speed is 1 m/s, at what speed
does she recoil?

Answers

Answer:

First you must find the kinetic energy that aman use to push her;So you can find the speed that she recoil

At the beginning of a new school term, a
student moves a box of books by attaching a
rope to the box and pulling with a force of
F = 84.4 N at an angle of 64°, as shown in the
figure.
The acceleration of gravity is 9.8 m/s².
The box of books has a mass of 14 kg and
the coefficient of kinetic friction between the
bottom of the box and the floor is 0.3.
64°
14 kg
p=0.3
What is the acceleration of the box?
Answer in units of m/s².

Answers

Answer:

1.22 m/s² (3 s.f.)

Explanation:

Draw a diagram modelling the given situation (see attachment).

F = Friction.  
Friction always acts in the opposite direction to motion (or potential motion).R = Normal Reaction (perpendicular to the plane).Weight = mg.

Given values:

Pulling force = 84.4 NMass (m)  = 14 kgAcceleration due to gravity (g) = 9.8 m/s²Coefficient of friction (μ) = 0.3

As the pulling force is at an angle to the plane (ground), resolve the force into components parallel and perpendicular to the plane.

Resolving vertically (↑) to find the Normal Reaction, R:

[tex]\begin{aligned}\implies R+82.2 \sin 64^{\circ}&=14g\\R&=14g-82.2 \sin 64^{\circ}\end{aligned}[/tex]

The frictional force takes its maximum value when an object starts to move (or is on the point of moving):

[tex]\boxed{F_{\text{max}}= \mu R}[/tex]

where R is the Normal Reaction and μ is the coefficient of friction.

Using F = μR to find the Frictional Force, F:

[tex]\begin{aligned}\implies F &= 0.3\left(14g-82.2 \sin 64^{\circ}\right)\\ & =0.3\left(14(9.8)-82.2 \sin 64^{\circ}\right)\\& =0.3\left(137.2-82.2 \sin 64^{\circ}\right)\\ & = 41.16-24.66\sin 64^{\circ}\end{aligned}[/tex]

Newton's second law states that the overall resultant force acting on a body is equal to the mass of the body multiplied by the body’s acceleration:

[tex]\boxed{F_{\text{net}}=ma}[/tex]

Resolving horizontally (→) using Newton's second law of motion to find acceleration:

[tex]\begin{aligned}\textsf{Using} \quad F_{\text{net}}&=ma\\\\\implies 82.2 \cos64^{\circ}-(41.16-24.66\sin 64^{\circ})&=14a\\17.0383694...&=14a\\a&=\dfrac{17.0383694...}{14}\\a&=1.21702638...\\a&=1.22\;\sf m/s^2\;(3\;s.f.)\end{aligned}[/tex]

Therefore, the acceleration of the box is 1.22 m/s² (3 s.f.).

The speed of sound traveling through a dense material is 600 m/s. If the wavelength is 15.0 m, what is the frequency of this sound?9,000 Hz80 Hz0.0025 Hz40 Hz

Answers

W0e are asked to determine the frequency of a sound given its velocity and wavelength. To do that we will use the following formula:

[tex]v=\lambda f[/tex]

Where:

[tex]\begin{gathered} v=\text{ velocity} \\ \lambda=\text{ wavelength} \\ f=\text{ frequency} \end{gathered}[/tex]

Now, we solve for the frequency by dividing both sides by the wavelength.

[tex]\frac{v}{\lambda}=f[/tex]

Now, we substitute the values:

[tex]\frac{600\frac{m}{s}}{15m}=f[/tex]

Solving the operations:

[tex]40Hz=f[/tex]

Therefore, the frequency is 40 Hz.

an optical instrument consist of two lenses .if the object distance for lens 1 is 12cm then the image distance is 36cm.if the height of the object for lens 2 is 5cm then the image height is 2.5cm. evaluate the combined magnification of the two lenses

Answers

The magnification of first lens can be given as,

[tex]m_1=-\frac{v_1}{u_1}[/tex]

Here, m1 is the magnification of first lens, v1 is the distance of image from first lens and u1 is the distance of object from first lens.

Substitute the known values in the equation,

[tex]\begin{gathered} m_1=-\frac{36\text{ cm}}{12\text{ cm}} \\ =-3 \end{gathered}[/tex]

The magnification of second lens can be given as,

[tex]m_2=-\frac{v_2}{u_2}[/tex]

Here, m2 is the magnification of second lens, v2 is the distance of image from second lens and u2 is the distance of object from second lens.

Substitute the known values in the equation,

[tex]\begin{gathered} m_2=-\frac{2.5\text{ cm}}{5\text{ cm}} \\ =-0.5 \end{gathered}[/tex]

The combined magnification of two lenses can be given as,

[tex]m=m_1m_2[/tex]

Substitute the known values,

[tex]\begin{gathered} m=(-3)(-0.5) \\ =1.5 \end{gathered}[/tex]

Thus, the combined magnification of two lenses is 1.5.

A 150 pound man runs up a stairway 20 feet above ground level in 15s. How much work did the man do?

Answers

Given:

h = height = 20 ft = 6.096 m

m = 150 pound = 68.0389 kg

time = 15 s

g= 9.8 m/s^2

Potential energy = mgh = (68.0389 ) (9.8 ) (6.096 ) = 4,064.7 J

Work done = 4,064.7 J

a car accelerates from rest at 7.8 meters per second squared. how much time does it need to attain a speed of 6 meters per second?

Answers

Answer:

v = u + at

Explanation:

initial velocity = u = 0

acceleration of the car = a = 7.8 m/s^2

time taken to reach a speed of, v = 6 m/s

hence,

6 = 0 + 7.8 x t

t = 6/7.8

t = 0.77 s

In your readings you learned that “correlation does not imply causality.” Which of the following is the best interpretation of this statement?
A. Just because there is a relationship between two behaviors does not mean that one causes the other
B. Many factors influence the relationship between two behaviors.
C. A relationship between two behaviors does not mean that one or both behaviors are testable.
D. Correlated behaviors are the result of operational conditioning.

SOMEONE PLEASE HELP!

Answers

Just because there is a relationship between two behaviors does not mean that one causes the other. Option A.

Natural observation is a research method that observes objects in their natural environment. This approach is commonly used by psychologists and other social scientists. It is a process of deep reflection, questioning, and evidence evaluation. A study in which researchers look for relationships between people's demographic neighborhood and their level of prejudice.

Psychologists use this because it is the most objective method known to produce reliable insights. The science of behavior and mental processes. It attempts to describe and explain aspects of human thinking feeling perception and behavior. Naturalistic observation is a method of observation that involves observing people's behavior in environments in which they normally occur. Laboratory Observation observing behavior in a more artificial environment focusing on a small number of carefully defined behaviors.

Learn more about Correlated behaviors here:-https://brainly.com/question/15295264
#SPJ1

Other Questions
Describe Jagan character in chapter 1 in vendor of sweets the ceo of microsoft, satya nadella, issued an apology for an inflammatory statement he made at a major industry event. this is an example of: A family budget estimator shows that the Richardson family would need 990272a year to live within their budget in Athens, Texas. If Mrs. Richardson works a 22-hour week and Mr. Richardson works a 40-hour week, how much hourly incomecould they both eam to live within their budget in Athens? find n(A) for the following set A:{x : x is a letter in the word "nonintervention"} n(A) = _________ URGENT!!A runner completes a 10k race (10 km) at an average speed of 13. km/hr. How long does it take for her to complete the race? Why did the British change their economic and political policies towards the colonists from 1763 to 1775? Were the colonists justified in their response to the British policies? Answer in a paragraph. 5. how big of an effect was caused by changing the selection pressure against genotype aa from 0.99 to 0.95? how would you expect this to change if you had a much larger population (your simulation was of a population of 500 individuals)? What is the expanded form of this number?14.702here is confusing it wont paste right but try to help tysm(110)+(41)+(7110)+(21100)left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 10 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis(110)+(41)+(7110)+(211,000)left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 10 right parenthesis plus left parenthesis 2 times 1 over 1000 right parenthesis(110)+(41)+(71100)+(21100)left parenthesis 1 times 10 right parenthesis plus left parenthesis 4 times 1 right parenthesis plus left parenthesis 7 times 1 over 100 right parenthesis plus left parenthesis 2 times 1 over 100 right parenthesis(110)+(41)+(71100)+(211,000) Select the table that represents a linear function. (Graph them if necessary.) __________ _________ compare alternatives by determing the qualitative factors that should be included as part of the decision, assigning weights related to their importance, and then ranking different alternatives to allow comparisons. Expand (x-3)^5 using the vi al theorem and Pascals triangle. Show all the steps in a class of 34 students 19 of them are girls what percentage of the class are girls give you answer to one decimal place According to Newton's first law of motion, when an object is in motion, it tends to stay in motion unless which event occurs. Please helpA It meets an unbalanced forceB It comes to a stop on its ownC It travels parallel to another objectD it intersects its own trajectory Please help me. I know Im solving for the principal but need help with the steps in your experiment, first a solution of sodium carbonate and water was used to extract caffeine from the tea. then caffeine was extracted from this solution using an organic solvent. why was the organic solvent not used directly to extract caffeine from tea? group of answer choices caffeine is only soluble in water caffeine is present in the form of a partial ionic complex in tea caffeine will sublimate if extracted directly with methylene chloride or ethyl acetate from tea caffeine is not soluble in methylene chloride or ethyl acetate (organic solvents) Which statement describes the social contract?A: People agree to participate in government as long as the government follows their wishes.B: People agree to follow the laws in exchange for the government protecting their individual rights.C: People want the government to separate its powers so that it does not violate their rights.D: People want church and state to be separate to protect their religious liberty. explain how Raphaels School of Athens painting is a virtual textbook of Renaissance painting, a synthesis of humanism and Renaissance technique Three sentence with ken and ben . Which historical period has the most diverse amounts of dialects and varieties of english?. Melika Yasin's gross pay for this week is $355.00. She is married and claims no allowances. According to the table below, what amount will be withheld from Ms. Yasin's pay for FIT?