1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
mafiozo [28]
3 years ago
12

Block A has a mass of 0.5kg, and block B has a mass of 2kg. Block is is released at a height of 0.75 meters above B. The coeffic

ient of restitution between A and B is 0.7. If, determine the distance the spring deforms before the block comes to rest again.

Physics
1 answer:
VikaD [51]3 years ago
5 0

Answer:

0.075 m

Explanation:

The picture of the problem is missing: find it in attachment.

At first, block A is released at a distance of

h = 0.75 m

above block B. According to the law of conservation of energy, its initial potential energy is converted into kinetic energy, so we can write:

m_Agh=\frac{1}{2}m_Av_A^2

where

g=9.8 m/s^2 is the acceleration due to gravity

m_A=0.5 kg is the mass of the block

v_A is the speed of the block A just before touching block B

Solving for the speed,

v_A=\sqrt{2gh}=\sqrt{2(9.8)(0.75)}=3.83 m/s

Then, block A collides with block B. The coefficient of restitution in the collision is given by:

e=\frac{v'_B-v'_A}{v_A-v_B}

where:

e = 0.7 is the coefficient of restitution in this case

v_B' is the final velocity of block B

v_A' is the final velocity of block A

v_A=3.83 m/s

v_B=0 is the initial velocity of block B

Solving,

v_B'-v_A'=e(v_A-v_B)=0.7(3.83)=2.68 m/s

Re-arranging it,

v_A'=v_B'-2.68 (1)

Also, the total momentum must be conserved, so we can write:

m_A v_A + m_B v_B = m_A v'_A + m_B v'_B

where

m_B=2 kg

And substituting (1) and all the other values,

m_A v_A = m_A (v_B'-2.68) + m_B v_B'\\v_B' = \frac{m_A v_A +2.68 m_A}{m_A + m_B}=1.30 m/s

This is the velocity of block B after the collision. Then, its kinetic energy is converted into elastic potential energy of the spring when it comes to rest, according to

\frac{1}{2}m_B v_B'^2 = \frac{1}{2}kx^2

where

k = 600 N/m is the spring constant

x is the compression of the spring

And solving for x,

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(2)(1.30)^2}{600}}=0.075 m

You might be interested in
Which describes a force acting on an object?
weeeeeb [17]

Answer:

Describing a Force:

To fully describe the force acting upon an object, you must describe both its magnitude and direction. Thus, 10 Newtons of force is not a complete description of the force acting on an object. 10 Newtons, downwards is a complete description of the force acting upon an object.

Explanation:

3 0
2 years ago
What is the direction of friction if a ball is rolling on the ground?
morpeh [17]
The direction is the same as the direction the ball is moving in. Because of the rolling of the ball, the direction of movement of the surface of the ball is opposite the overall direction of the ball. Since friction will oppose the direction of movement of the surface of the ball, it is in the same direction as the net direction of movement of the ball.
3 0
3 years ago
PLEASE HELP WILL GIVE MAX POINTS !!!!
o-na [289]

view screenshot below:

3 0
3 years ago
Two cellists, one seated directly behind the other in an orchestra, play the same 220-Hz note for the conductor who is directly
Llana [10]

Answer:

d= 1.56 m

Explanation:

In order to have a constructive interference, the path difference between the sources of the sound, must be equal to an even multiple of the semi-wavelength, as follows:

⇒ d = d₂ - d₁ = 2n*(λ/2)

The minimum possible value for this distance, is when n=1, as it can be seen here:

dmin = λ

In any wave, there exists a fixed relationship between the wave speed, the frequency and the wavelength:

v = λ*f

If v = vsound = 343 m/s, and f = 220 1/s, we can solve for λ:

λ =\frac{v}{f} =  \frac{343 m/s}{220(1/s)} = 1.56 m

⇒ dmin =λ = 1.56 m

3 0
3 years ago
PLEASE HELPPP!! 40 POINTS! A young man exerted a force of 900 newtons for 10 seconds to push his car. However, he could not get
Dmitrij [34]

No work is done because the object needs to be moved. The formula for work is Work = Force x Distance.

4 0
3 years ago
Other questions:
  • The radius of a right circular cone is increasing at a rate of 1.5 in/s while its height is decreasing at a rate of 2.4 in/s. At
    6·1 answer
  • The form of energy that can move from place to place across the universe is . On Earth, the main source of this energy is .
    8·2 answers
  • The cheetah is one of the fastest accelerating animals, for it can go from rest to 28.0 m/s in 5.20 s. If its mass is 100 kg, de
    14·1 answer
  • An object is dropped at a height of 6 m from the ground. How fast is it moving just before it hits the ground?
    15·1 answer
  • What is the speed of a 500 kg elevator that has 4000 J of energy ?
    8·1 answer
  • The skateboarder weighs 75 kilogram. Calculate the potential energy of the skateboarder sliding on the track when his height abo
    11·2 answers
  • Compare the percent change in angular momentum of the system to the percent change in the rotational kinetic energy of the syste
    10·1 answer
  • Help me please i dont understand
    13·1 answer
  • what is the change in thermal energy of 1.00 kg of water that is raised from 20.0 degrees Celsius to boiling point?​
    9·1 answer
  • A motorist travels 130 km in 2 hours.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!