Answer:
acceleration: 2.14 m/s²
Explanation:
acceleration = (final velocity - initial velocity ) ÷ time taken
Here the final velocity is 16 m/s, initial velocity is 4 m/s, time taken is 5.6 s
acceleration = ( 16 - 4 ) ÷ 5.6
→ 12 ÷ 5.6
→ [tex]\left[\begin{array}{ccc}\frac{15}{7}\end{array}\right][/tex] m/s² or 2.14 m/s²
A 3.00 m long rod (I=1/3ML2) with a mass of 10.0 kg is set so that it pivots around its end. The rod is pulled back until it is horizontal and released. A small spherical ball with a mass of 4.00 kg is placed directly under the pivot point of the rod so that the end of the rod strikes the ball when it is vertical.
What is the angular velocity at the bottom before it hits the ball?
Hi there!
Assuming the rod is pulled back 90° (π/2 radians), we can use angular kinematics to solve.
Using the equation:
[tex]\omega_f^2= \omega_i^2 + 2\alpha \theta[/tex]
[tex]\omega_f[/tex] = final angular velocity (? rad/sec)
[tex]\omega_i[/tex] = initial angular velocity (0 rad/sec)
[tex]\alpha[/tex] = angular acceleration (rad/sec², must solve for)
[tex]\theta[/tex] = angular displacement (π/2 rad)
Recall Newton Second Law's rotational equivalent:
[tex]\Sigma \tau = I\alpha[/tex]
τ = Torque (Nm)
I = Moment of inertia (kgm²)
α = angular acceleration (rad/sec²)
Setting the pivot point at the end, and knowing that the force of gravity works at an object's center of mass (1.5m from the rod's end), we can solve for the angular acceleration.
[tex]\tau= F \times r\\\\\tau = W \times r = 10(9.8) * 1.5 = 147 Nm[/tex]
Now, solve for the moment of inertia given I = 1/3ML² at one of its ends:
[tex]I = \frac{1}{3}(10)(3^2) = 30 kgm^2[/tex]
Solve for the angular acceleration:
[tex]147 = 30\alpha\\\\\alpha = 4.9 \frac{rad}{sec^2}[/tex]
Now, we can use the kinematic equation to solve.
[tex]\omega_f^2 = 0 + 2(4.9)(\frac{\pi}{2}})\\\\\omega_f = \sqrt{2(4.9)(\frac{\pi}{2})} = \boxed{3.923 \frac{rad}{sec}}[/tex]
you know that there are 1609 meter in a mile. the number of feet in a mile is 5280. what is the speed snail from problem 7 per minute.
Answer:
We know that 1 meter = 100 centimeters, and 1 foot = 12 inches.
So (1,609 meters) x (100 centimeters/meter) = (5,280 feet) x (12 inches/foot)
The second fraction on each side of the equation is equal to ' 1 ', because
the numerator is equal to the denominator, so sticking it in there doesn't
change the value of that side of the equation. But now we can cancel some
units,and wind up with the units we need.
(1,609 meters) x (100 centimeters/meter) = (5,280 feet) x (12 inches/foot)
(1,609 x100) centimeters = (5,280 x 12) inches
160,900 centimeters = 63,360 inches
Divide each side by 63,360 : 2.54 centimeters = 1 inch
Explanation:
Find the mass of a football player who has 1200 N of force and has an acceleration of 1.5 m/s2 ?
Answer:
800 kg is your answer.
Explanation:
[tex]Solution,\\\\Force(F)=1200N\\\\Acceleration(a)=1.5m/s^{2} \\\\As,\\\\F=ma\\\\1200=m*1.5\\\\m=\frac{1200}{1.5} \\\\m=800kg[/tex]
Which of the following pictures shows a ray reflecting off a concave mirror?
Select one:
a. A
b. B
c. C
d. D
Answer:
A
Explanation:
How is electricity generated and transmitted to provide electricity to homes.
Answer:
Electricity generated at the power plant reaches our homes through multiple substations, transmission and distribution lines, and transformers. Newly generated electricity is transmitted at extremely high voltages ranging from 275,000 to 500,000 volts in order to reduce transmission losses.covert 1000 kg/m3 into 1g/cm3
Answer:
1 g/cm³
Explanation:
1 kg = 1000 g
1 cm = 0.01 of a meter
1 m³ = 100 cm * 100 cm * 100 cm = 1,000,000 cm
1,000 kg / 1 * 1000 g / 1 kg
^ divided by 1,000,000 cm
1,000,000 divided by 1,000,000 = 1 g/cm³
waste water can be purified naturally by
Answer:
waste water can be purified naturally by sunlight, temperature, filtration, adsorption, sedimentation, biodegradation,
Answer:
Filtration, sedimentation, or distillation
SOLVE IT NOWPLS!
its AP Q
Answer:
B. the maximum velocity of the mass
Explanation:
The maximum velocity occurs at the equilibrium position (x=0) when the mass is moving toward x=+A .
HELP! how did michael jordan influence future basketball players to make prodcuts?
Answer:
By encouraging them.
Explanation:
#CARRYONLEARNING
Answer:
His ability to soar to the basket and do things we'd never before seen captured the world's attention and helped make basketball more of a global sport than it had ever been. His reverse layups, slam dunks, and fadeaway shots were exciting to say the least.
Explanation:
The mass of the Sun is 1. 99 × 1030 kg. Jupiter is 7. 79 × 108 km away from the Sun and has a mass of 1. 90 × 1027 kg. The gravitational force between the Sun and Jupiter to three significant figures is × 1023 N.
The gravitational force is s type of force that has the ability to attract any two objects having mass. The gravitational force will be [tex]4.16\times10^{23}[/tex].
What is the gravitational force?The gravitational force is s type of force that has the ability to attract any two objects with mass. Gravitational force tries to pull two masses towards each other.
[tex]F= G\frac{m_1m_2}{r^{2} }[/tex]
Given,
mass of the sun ([tex]m_1[/tex])= [tex]1.99\times10^{23}[/tex] kg
mass of Jupiter([tex]m_2[/tex])= [tex]7.79\times10^{8}[/tex] kg
distance between the sun and Jupiter (r)= [tex]1.90\times10^{27}[/tex] m
[tex]F= G\frac{m_1m_2}{r^{2} }\\\\\\F=4.16\times10^{23}\times\frac{1.99\times10^{23}\times7.79\times10^{8}}{({1.90\times10^{27})^2} }[/tex]
[tex]F= 4.16\times(10)^{23}[/tex] Newton
Hence the gravitational force between the sun and Jupiter will be [tex]4.16\times10^{23}[/tex]
To learn more about gravitational force refer to the link:
https://brainly.com/question/24783651
As you hold a book at rest in your hand two forces are being exerted on the book
Answer:
a. gravity & hand on book
b. yes - 3rd law
c. no, the are acting on the same object
Hope this helped!
Answer:
The first force is your hand holding the book up, and the other one is gravity pulling the book down. Hope i helped :D
Explanation:
What do you think causes such change in wave velocity?
Example: Increasing the tension in A string causes the speed of waves on the string to increase. Since the wavelengths of the standing waves remains constant, this results in a larger frequency of oscillations in the string, which we percieve as a higher pitch when the string vibrates the air.
A truck travels at a constant speed of 45 m/s. How much work did the truck engine do during a 2 hour period if it supplied a force of 25 kN of force.
The work the truck engine did during the 2 hour period is 8.1 × 10⁹ J
WorkFrom the question, we are to determine how much work the truck engine did
Work is given by the formula
Work = Force × Distance
First, we will determine the distance traveled by truck
From the formula,
Distance = Speed × Time
From the given information
Speed = 45 m/s
Time = 2 hours = 2×60×60 = 7200 secs
Then,
Distance = 45 × 7200
Distance = 324000 m
Now, for the work done
Work = Force × Distance
From the given information,
Force = 25 kN = 25000 N
Therefore,
Work = 25000 × 324000
Work = 8.1 × 10⁹ J
Hence, the work the truck engine did during the 2 hour period is 8.1 × 10⁹ J
Learn more on Work here: https://brainly.com/question/18762601
The magnitude of the magnetic field generated by an electromagnet is:.
We have that the magnitude of the magnetic field is determined by the amount of current produced.
The magnitude of the magnetic field generated by an electromagnetGenerally, the magnetic field strength is called the tesla This is measured as one Newton per ampere-meter.
Electromagnet is a magnet where the magnetic field is created by an electric current,
Therefore the magnitude of the magnetic field is determined by the amount of current produced
For more information on Magnets
https://brainly.com/question/7802337
The diameter of earth is largest when measured around the.
Answer:
equator
Explanation:
The diameter of earth is largest when measured around the equator, due to the equatorial bulge.
The equatorial bulge is a phenomenon caused by the Earth's diameter being wider in the Equator.
A straight line with its endpoints located on the edge of the circle and its center is used to calculate the diameter of a circle. Latitudes like the equator and the Arctic Circle have diameters that can be calculated by scientists.
The Equator is the place on Earth where it is the broadest. At the equator, the circumference of the Earth is 40,075 km.
To learn more about equatorial bulge, click:
https://brainly.com/question/28461240
#SPJ6
write any five effect of human activities on the earth and explain each of them in brief
Answer:
here Humans impact the physical environment in many ways: overpopulation, pollution, burning fossil fuels, and deforestation. Changes like these have triggered climate change, soil erosion, poor air quality, and undrinkable water. These negative impacts can affect human behavior and can prompt mass migrations or battles over clean water.
Explanation:
PLS HELP
Bill is riding his bicycle at 3.2 m/s. He accelerates at 0.53 m/s2 over a period of 1.2 seconds.
What is Bill's final velocity in m/s?
V(final) = V(initial) + a•t
Take the numbers you know, pluggum in, and you should get 3.836 m/s .
Note: This is just the final speed. Without any direction information, there's no way to find the velocity.
What I Know Directions: Read and understand the questions below. Choose the letter of the best answer, Write the chosen letter on a separate sheet of paper. 1. Which of the following is abasic unit of distance?
A inch
B. feet
C. meter
D. yard
(science)
50 N Vertical 10 N Horizontal Force X can you find force x?
Answer:
45
Explanation:
A complete vibration occurs with a motion away from a point, to the other side of the equilibrium position, and back again to the starting point; this complete vibration is called a
Answer:
A complete vibration is called a "period".
Starting at 0, the particle would move to +A, back to zero, to -A and back to zero to complete one cycle of a vibration
The current flowing through a lamp is 1. 5 A. It is plugged into a 120 V outlet. What is the resistance of the lamp? Ω.
Answer:
80 [Ω].
Explanation:
according the formula I=U/R, where U=120[V], I=1.5[A], the required resistance can be calculated
[tex]R=\frac{U}{I}; \ => \ R=\frac{120}{1.5}=80[Ohm].[/tex]
Describe an exothermic reaction involving sulphuric acid.
Answer: The hydration reaction of sulfuric acid is highly exothermic. If water is added to concentrated sulfuric acid, it can boil and spit dangerously. You should always add the acid to the water rather than the water to the acid for safety.
hope this helps!
If the jet fighter in #3 is traveling at a height of 10,000 meters, what would the potential energy be?
Answer:
5,0000
Explanation:
because if u divide the 10 by 2 possible it will be 5 so u add your zero
The potential energy of the fighter jet of mass 'm' at a height of 10000 meters will be 98000m.
What is Potential energy of a body?The energy of the body due to its position is called potential energy. If a body of mass 'm' is at height 'h' above the ground, then its potential energy with respect to earth will be -
E[P] = mgh
Given is a fighter jet traveling at a height of 10,000 meters.
The potential energy of a body at height 'h' above the ground is given by-
E[P] = mgh
where -
m is the mass of body
g is the acceleration due to gravity
Assume that the mass of jet fighter is 'm'. Then its potential energy will be -
E = mgh
E = m x 9.8 x 10000
E = 98000m
Therefore, the potential energy of the fighter jet of mass 'm' at a height of 10000 meters will be 98000m.
To solve more questions on Coulomb's law, visit the link below-
https://brainly.com/question/15110491
#SPJ5
The wavelength of a radio wave in a vacuum is 295 meters. Calculate its wavelength in water? (nwater = 1.33)
The wavelength of the radio wave in water is 222nm
Calculating radio wave in waterThe relationship between the refractive index wavelengths in a vacuum and in water is given by:
n = λ1/λ2
So,
let λ1 be the wavelength of light in a vacuum
λ2 be the wavelength of light in water.
nwater = 1.33
Plugging in values, we have
n = λ1/λ2
1.33 =295 m /λ2
λ2 = 295 m/1.33
= 221.80nm
≈222nm
Therefore the wavelength of radio wave in water is 222mn.
Learn more on calculations of wavelength in vacuum and water here: https://brainly.com/question/13040697
Why are yet planes faster tharn. cargo planes?
Answer:
cargo planes hold cargo so there hevier
Explanation:
which would cause a greater change in energy of motion doubling the weight or doubling the speed why
Answer:
Doubling the speed.
E - M v^2
M = W / g energy is proportional to weight
But energy is proportional to v^2
what is the temperature of a wave that has a wavelength of 5 m?
So, the temperature of a wave that has a wavelength of 5 m is [tex] \boxed{\sf{5.796 \times 10^{-4} \: K}} [/tex]
IntroductionHi ! Here, I will help you to explain about The relationship between temperature and electromagnetic wavelength uses the principle of Wien's Constant. According to Wien, if we multiply temperature with the electromagnetic wavelengths will always got the same number (constant). Therefore, The relationship is expressed in this equation :
[tex] \boxed{\sf{\bold{C = \lambda_{max} \times T}}} [/tex]
With the following condition :
C = Wien's constant ≈ [tex] \sf{2.898 \times 10^{-3} \: m.K} [/tex][tex] \sf{\lambda_{max}} [/tex] = wave at its longest point (m) T = absolute temperature (K)Problem SolvingWe know that :
C = Wien's constant ≈ [tex] \sf{2.898 \times 10^{-3} \: m.K} [/tex][tex] \sf{\lambda_{max}} [/tex] = wave at its longest point = 5 mWhat was asked :
T = absolute temperature = ... KStep by step :
[tex] \sf{C = \lambda_{max} \times T} [/tex]
[tex] \sf{2.898 \times 10^{-3} = 5 \times T} [/tex]
[tex] \sf{T = \frac{2.898 \times 10^{-3}}{5}} [/tex]
[tex] \sf{T = \frac{2.898 \times 10^{-3}}{5}} [/tex]
[tex] \sf{T = 0.5796 \times 10^{-3}} [/tex]
[tex] \boxed{\sf{T = 5.796 \times 10^{-4} \: K}} [/tex]
Conclusion :So, the temperature of a wave that has a wavelength of 5 m is [tex] \boxed{\sf{5.796 \times 10^{-4} \: K}} [/tex]
Need Help very important i will mark who gets this right brainiest.
A 5 kg toy truck moves to 2 m/s east , it colllides head-on with a2kg toy car moving 5 m/s moving west . What is the total momentum of the system?
A) kgm/s 30
B) kgm/s 0
C) kgm/s -20
D) non of it
Momentum
eastward = +
westward = -
[tex]\tt P_A=5\times 2=10~kg.m/s\\\\P_B=2\times 5=-10~kg.m/s[/tex]
total momentum:
[tex]\tt P_A+P_B=10-10=0~kg.m/s[/tex]
What is the key difference between photoheterotrophs and photoautotrophs?.
Explanation:
What is the key difference between photoheterotrophs and photoautotrophs? Photoheterotrophs use organic compounds as their carbon source; photoautotrophs use carbon dioxide as their carbon source.