4. A ball is thrown horizontally with an initial velocity of 10 m/s off a cliff and spends 5 seconds in the air before hitting the ground. What is the height of the cliff? How far does the ball travel before hitting the ground.

The magnitude of the acceleration of the ball is 10 m/s².

The acceleration of an object is the change in the velocity of the object with time.

The acceleration of the object is calculated using the following kinematic equation as shown below,

h = vt + ¹/₂at²

where;

Substitute the given parameters and solve for the acceleration of the ball.

125 = 0 +  ¹/₂a(5)²

2(125) = 25a

250 = 25a

a = 250/25

a = 10 m/s²

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distance between A and B25002 m

V = 100 km/h

V = (100 x 1000)/3600 = 27.78 m/s when converted to a unit of speed.

t = 15 minutes = 15 x 60 = 900 seconds

displacement =?

Displacement times time equals velocity

Velocity times time equals displacement

displacement = 27.78 x 900

Displacement = 25002 meters

The distance between A and B is 25002 meters since displacement and distance are measured in the same unit.

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Its edges are subjected to a force of 2.8 x 1010 N at the specified shear stress and area.

The force known as shear stress is the tendency for a material to deform by slippage along a plane or planes parallel to the applied stress. Shear stress or pressures, as their name suggests, tend to "shear" objects or produce material deformation.

The formula for shear stress is given as:

F = Aτ

where;

F is the force applied, A is the area of the surface, and τ is the shear stress

We have,

Shear modulus, τ = 3.5 × 10¹⁰ Pa

The area of the plate is A = 0.8 m²

Then,

F = ( 0.8 m² ) × (3.5 × 10¹⁰ Pa)

F = 2.8 x 10¹⁰ N

As a result, as the shear stress grows, so does the force applied to each of its edges that causes the specified displacement.

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The temperature of the box and floor eventually rise as a result of the thermal energy flowing as heat inside these two things.

This is further explained below.

Generally, The energy present in a system that determines its temperature is referred to as thermal energy.

Thermal energy flows as heat. Thermodynamics is a whole field of physics that studies how heat is transmitted across various systems and how work is performed in the process (see the first law of thermodynamics).

In conclusion, This thermal energy is transferred in the form of heat throughout the box as well as the floor, which eventually results in an increase in temperature for both of these locations.

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Recall, Newton's gravitational law states that any particle of matter in the universe attracts any other particle with a force varying directly as the product of their masses and inversely as the square of the distance between them. It is expressed as

F = Gm1m2/r^2

where

F is the force in Newton

G is gravitational constant = 6.673 x 10^-11 Nm^2/kg^2

m1 and m2 are the masses in kg

r is the distance in meters

From the information given,

r = 1.5

acceleration = 2cm^2/s

Recall, 100 cm = 1m

2 cm = 2/100 = 0.02m

Thus,

acceleration = 0.02m/s^2

Since the masses are identical, then m1 = m2

Each of them is accelerating at 0.02m/s^2

Recall,

Force = mass x acceleration

Force = m1 x 0.02 = 0.02m1 N

By substituting the given values into the formula, we have

0.02m1 = (6.673 x 10^-11 x m1 x m1)/1.5^2

m1 on the left cancels out one m1 on the right. It becomes

0.02 = (6.673 x 10^-11 x m1)/1.5^2

By crossmultiplying,

0.02 x 1.5^2 = 6.673 x 10^-11 x m1

0.045 = 6.673 x 10^-11 x m1

m1 = 0.045/6.673 x 10^-11

m1 = 6.74 x 10^8 kg

The mass of each ball is 6.74 x 10^8 kg

The refractive index of water is 1.3

Find the refractive index of water.

Lightspeed in water [tex]V_water}[/tex]= 2.25*10^8 m/s

We know that,

Speed of light in vaccum [tex]V_{vaccum}[/tex]=3*10^8 m/s

µ=[tex]\frac{C}{V_{m} }[/tex]

where,

µ= refractive index

C= speed of light in air/vaccum

[tex]V_{m}[/tex]=speed of light in any medium

µ=[tex]\frac{3*10^8 m/s}{2.25*10^8 m/s}[/tex]

µ=1.3

Hence, the refractive index of water is 1.3

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A tiger leaps horizontally from a 5.5 m rock with a speed of 3.6 m/s. So the tiger will land 2.772 m away from the base.

In mechanics, acceleration refers to how quickly an object's velocity alters in relation to time. The vectorized magnitude of accelerations. An object's acceleration is determined by the direction of the net force pushing against it.

Acceleration has a direction and a magnitude, making it a vector quantity. A vector quantity is a velocity as well. Acceleration is defined as the change in the vector of velocity over a period of time divided by the duration of the change.

According to the question, the given values are,

For y component :

Acceleration, a = -9.8 m/s²

Velocity, v₀= 0 m/s

Δy = -5.5 m

For x component :

a = 0 m/s²

v₀ = 3.6 m/s

Δy = v₀t + 1/2 at²

- 5.5 m = 0 + 1/2(-9.8)t²

t = 0.77 seconds

Δx = v₀t + 1/2 at²

Δx = (3.6)(0.77) + 0

Δx = 2.772 meters.

Hence, the tiger will land 2.772 m far from the base of the rock.

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if the digital display on a thermometer reads 0110 1100 and the temperature ranges from -100 to 300 degrees (8 bit). the analogue quantity being measured is 84.71.

A thermometer is a device used to gauge temperature. It may gauge the temperature of a solid substance, like food, a liquid substance, like water, or a gas, like air. Celsius, Fahrenheit, and kelvin are the three most widely used units for measuring temperature. A component of the metric system is the Celsius scale. The metric system of measuring also contains units for length and mass, such as kilogrammes and kilometres. The official unit of measurement for practically all nations in the world is the metric system, which includes Celsius. The Celsius scale is commonly used in science to measure temperature. Water has a freezing point of 0 degrees Celsius and a boiling point of 100 degrees Celsius.

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The net work done will be zero on moving the ball to the right.

The net work done is equal to the change in kinetic energy. The initial velocity is - 30 m/s and the final velocity is + 30 m/s. Also, the formula for kinetic energy is: K.E. = 1/2m([tex] { v_{f} }^{2} [/tex]

- [tex] { v_{i} }^{2} [/tex]

Keep the values in formula to find the kinetic energy

K.E. = 1/2×20×(30² - (-30)²)

Taking square on Right Hand Side of the equation

K.E. = 10×(900 - 900)

Performing subtraction on Right Hand Side of the equation

K.E. = 0

Thus, the net work done will be zero. The work done on stopping the particle and then moving it to different direction will be equal. Thus, we get the value zero.

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Answer:

Explanation:

Given:

U =12 V

E = 60 J

________

q - ?

E = U·I·t

q = I·t

E = U·q

q = E / U = 60 / 12 = 5 С

The net force's work is described as d=(3.82)(4.00)=15.3J for W=F net, where we made use of the fact that the canister began at rest and traveled horizontally while being affected by horizontal forces; the resulting effect is represented by the symbol F net.

Since all of these cases are in closed systems, the result is in a new preserved quantity.

Linear momentum and this new quantity, angular momentum, are comparable. In this chapter, we first define angular momentum and then examine it from a number of angles.

But first, we look into a single particle's angular momentum. This enables us to compute the force angular momentum of a rigid cylindrically symmetric body and a system of particles.

We used the fact that the canister started at rest and moved horizontally under the influence of horizontal forces; the ensuing effect is denoted by the symbol F (force) net.

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The time shown by the speedometer corresponding to speed of 10 m/s is 1 s.

The time shown by the speedometer corresponding to speed of 20 m/s is 1 s.

The time shown by the speedometer corresponding to speed of 30 m/s is 1 s.

1. As shown by the speedometer on the right.

The speed of 10 m/s indicated by the speedometer to the right may be used to calculate how long the ball has been falling from the maximum altitude it reached.

Equation for free fall: Vf = Vo - gt

Vo=0, Vf=gt, and t=Vf/g

I suggest using an approximation of g for this problem: g = 10 m/s2 (I'll explain why in a moment).

1 second is equal to [10 m/s]/[10 m/s2].

The time is now dropping. From it has been four seconds since launch, the upward time was three seconds. You may use this to determine the launching speed.

2. The moment the speedometer registers 20 m/s

Determine the launching speed first:

Vo - gt = Vf

Given that the ball took 3 seconds to ascend and that its speed was zero at its highest point, you may calculate:

0 = Vo - gt

Vo=gt=10 m/s2 3 s = 30 m/s

Now, while the ball is moving upward and the speedometer reads 20 m/s, use the beginning velocity to compute.

t = [30 m/s - 20 m/s] / [10 m/s2] = 1 s 20 m/s = 30 m/s - 10 m/s2

Therefore, t = 1 s is the initial solution.

3. The moment the speedometer registers 30 m/s.

The projected speed for the launch is also 30 m/s.

This reading therefore reflects the precise moment the ball was released.

Time is therefore 0 and the launch moment remains the same.

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In the given question, a car coasts into a hill at 16.0 m/s and it slows down with a uniform acceleration of -1.0 m/S/S.

to find,

the displacement after 5.0s,    s=60m

the displacement after 10.0s,   s=80m

according to the equation of motion,

s=ut+1/2at^2

a) t=5second, u=16m/s

s=ut+1/2at^2

s= 16*5 + 1/2 (-1.6) 5^2

s=80-20

s=60m

b)t= 10second , u=16m/s

s=ut+1/2at^2

displacement s=16*10 + 1/2 (-1.6)*10^2

displacement s=80m

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Answer:

130.073 pounds

Explanation:

use a translation to find what kg to pounds is

Answer:

578.59235

Explanation:

59*9.8

9.8 is the force of gravity acting on the earth, therefore multiplying 59 and 9.8, you get 578.59N or, if you're rounding it up, 578.6N

Answer:

If the resistors are in series then each resistor

carries the "same current" - the first option

The most likely true about the person in front of you is any of the above could be true and is denoted as option D.

This is referred to as the matter or substance which is obtained so as to aid investigation processes and examples include hair, blood etc. It is useful as it helps to solve a crime and ensures that the culprit is punished.

Taking hair samples from pre-emptively could be because of any of the reasons listed such as being a suspect or a witness to a crime thereby making option D as the correct choice.

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The options are:

Answer: 46 min

Explanation:

acceleration a = F/M therefore acceleration the soccer ball from rest in the process is 40 m/s².

Given

mass of soccer ball, M = 0.57 kg

Force F = 22.8 n

acceleration a = F/M

a = 22.8 n/ 0.57 kg

a = 40m/s²

We refer to any process where the velocity changes as acceleration. You can only accelerate by changing your speed, direction, or both as velocity is a function of both speed and direction. When two things are moved against one another, instant friction results. The motion will be opposed by the friction, who will also be working against it. When an item is in motion and its velocity changes, the concept of acceleration takes place. Friction, which opposes motion, always lowers acceleration. An object and a surface come into contact and cause friction. The features of the surface and the item as well as whether or not the object is moving determine its magnitude.

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The blackbody radiation energy emitted by star a is 1/16 factor of star b energy.

We need to know about black body radiation to solve this problem. The energy radiated by a black body object is proportional to the area and the fourth power of temperature. It can be determined as

P = A . e . σ . T⁴

where P is power, A is surface area, e is emissivity, σ is Stefan Boltzmann's constant ( 5.67 x 10¯⁸ W/m²K⁴) and T is temperature.

From the question above, we know that

Tb = 2 Ta

By using the black body radiation formula, the ratio of temperature is

Ta⁴ / Tb⁴ = Pa / Pb

Ta⁴ / Tb⁴ = Ea / Eb

Hence,

Ta⁴ / Tb⁴ = Ea / Eb

Ta⁴ / (2Ta)⁴ = Ea / Eb

Ta⁴ / 16Ta⁴ = Ea / Eb

1/16 . Eb = Ea

Thus, the energy of star a will have 1/16 factor of star b energy

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The current in the primary winding is 4.4 A.

What is primary winding?

A primary winding is the winding of a transformer  that is connected to and recive energy from an external source of electron.

The primary winding is the coil that draws power from the source.

Sol- As per the given question -

Current Is=0.22A

Primary winding Vp=120v

Voltage of winding Vs=2400v

Current of primary winding Ip?

Np/Ns=Vp/Vs=Is/Ip

Vp/Vs= Is/Ip

120/2400 =0.22/Ip

Ip= 20×0.22

Ip= 2.2×2

Ip=4.4 A

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If a 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping, then the average contact force that grass would exert on the apple would be 1.177 Newtons.

Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.

As given in the problem if a 0.12-kg apple falls off a tree branch that is 2.3 m above the thick grass. The apple sinks 0.067 m into the grass while stopping,

The contact force on the apple = 0.12 × 9.81

                                                    = 1.177 Newtons

Thus, the average contact force that grass would exert on the apple would be 1.177 Newtons.

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Answer:

You weight would be doubled because gravitational force is doubled

2. Challenges:

a. Everyone’s body would have to adjust to the new weight and learn to walk again

b. Earth would be closer to the sun, so everything would be hotter on Earth

c. Flying airplanes and driving cars might no longer work at all (talk about how difficult this would make traveling)

3. Benefits:

a. Time would go by much slower so technically everyone would live longer

b. Balloons wouldn’t fly off anymore

4. You have to decide for yourself if you’d like it better or worse

Explanation:

When two vectors have the same direction, they can be added and the direction of the resultant is the same as the direction of the vectors. Additionally, the magnitude of the resultant is simply the sum of the corresponding magnitudes of the vectors.

Therefore, the answer is:

1) The resultant is the sum of the two displacements having the same direction as the original vectors.

Answer:

2.0m

Explanation:

It will take 1.6s for the ice to melt.

First we have to write the expression for the heat balance equation for the system

Q supply = Qgain/

t= mLf/t

Here, m is the ice,

Lf is the latent heat of fusion

and t is the time taken to melt the ice.

Now we have to substitute the required value in the above expression to determine the value of time.

636 kJ/s = (3 kg)(334 kJ/kg) / tt =1.575 s

What is latent heat?
The heat or energy that is absorbed or released during a substance's phase shift is known as latent heat. It could go from a solid to a liquid or from a liquid to a gas, or vice versa. Enthalpy, a characteristic of heat, is connected to latent heat.

Therefore, the closest option is 1.6s

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What is acceleration ?

Acceleration is the rate at which the speed and direction of a moving object change over time. Something is said to be accelerating when it starts to move faster or slower

Let acceleration be a

For the hanging m, mg-T = ma

For the glider(mass M),T=Ma

Eliminating T,we get

mg-Ma=ma

a=mg/(m+M)

Using energy concept we will get the same result,

When m is lowered by h, M will move h distance in forward direction.

As there is no friction, both m and M will attain same speed (v).

So, mgh = 1/2(m+M)v2 [Word done by T will cancel out, as for m it is -hT while for M it is hT(see the direction of T and displacement in both cases)]

v2 =2mgh/(m+M)

Use formula v2 - u2 = 2as

2mgh/(m+M) - 0 =2ah

a = mg/(m+M)

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..............................

The capacitance of each capacitor is 2.1 ×[tex]10^{-5}[/tex]F.

Let

Equivalent capacitance of the circuit = [tex]C_{eq}[/tex]

   [tex]C_{eq}[/tex] =Q/V

where Q is the charge and V is the potential difference.

Q = [tex]3.5[/tex]×[tex]10^{-4[/tex]

V = 5.55 V

Putting the values

   [tex]C_{eq}[/tex] =    [tex]3.5[/tex]×[tex]10^{-4[/tex]/5.5V

                   [tex]C_{eq}[/tex] = [tex]6.4[/tex]×[tex]10^{-5}[/tex]F

The circuit consists of 3 capacitors in parallel, each one having the same capacitance C.

To find C:

C = [tex]C_{eq}[/tex]/3

C = 2.1 ×[tex]10^{-5}[/tex]F

The capacitance of each capacitor is 2.1 ×[tex]10^{-5}[/tex]F.

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The full Question is :

Three uncharged capacitors with equal capacitances are combined in parallel. the combination is connected to a 5.55-v battery, which charges the capacitors. the charging process involves 3.45 Ã 10-4 c of charge moving through the battery. find the capacitance of each capacitor.

a)Child's speed halfway down the slide is 9.89m/s.

b)Child's speed three fourth of the way down is 12.12 m/s.

Potential energy that a massive object has in relation to another massive object due to gravity is called gravitational potential energy. Potential energy associated with the gravitational field is converted to kinetic energy when the objects falls towards each other.

As we know that, ΔPE=KE

mgΔh=mv²/2

Now, v=sqrt(2gΔh)

Halfway down the slide,  Δh=5 m

gravity = 9.8 m/s²

v=sqrt(2gΔh)

v= √2* 9.8 * 5

=  √98

= 9.89 m/s

For the three fourth of the way down, Δh=7.5 m.

v= √2* 9.8 * 7.5

= 12.12 m/s

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Answer:bus

Explanation: