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
If the accuracy in measuring the position of a particle increases, the accuracy in measuring its velocity will
astraxan [27]

Answer:

Therefore the answer is the precision in the speed DECREASES

Explanation:

In quantum mechanics, we have the uncertainty principle that establishes that when the accuracy of the position increases the accuracy  the speed decreases, being related by the expression

               Δx Δv ≥  h'/ 2

                h' = h/2π

Therefore the answer is the precision in the speed DECREASES

7 0
3 years ago
Two of the three tuning forks have known frequencies. When a 510 Hz. fork and the unknown fork are struck together, four beats p
Vikki [24]
4 Hz is the difference between 510 and the unknown. 
<span>Therefore the unknown is either 514 or 506. </span>

<span>If 505 and 506 were struck together, the diff would be 1 Hz </span>
<span>If 505 and 514 were struck toghether, the diff would be 9 Hz which would be difficult to count accurately, </span>

<span>Therefore the unknown is 514</span>
3 0
3 years ago
When using a cell phone, a(n) ________ converter chip changes your voice's sound waves into digital signals.
Nuetrik [128]

Answer: analog-to-digital

Explanation: Analog-to-digital converters as the name implies simply refers to components which are used to convert continuous analog signals into a discrete analog outputs so they it can be read and processed by a microprocessor. The microprocessors are unable to depict and read analog signals which could be gathered from sound, light or water wave sources. This wave sources are then sampled, processed and sorted into levels by the analog-to-digital converter before being sent to the microprocessor so that the waves can be read.

3 0
3 years ago
Why is brainly getting less people
tino4ka555 [31]
People are switching to other websites
8 0
3 years ago
The potential energy of a particle as a function of position will be given as U(x) = A x2 + B x + C, where U will be in joules w
satela [25.4K]

Answer:

F = - 2 A x - B

Explanation:

The force and potential energy are related by the expression

      F = - dU / dx i ^ -dU / dy j ^ - dU / dz k ^

Where i ^, j ^, k ^ are the unit vectors on the x and z axis

The potential they give us is

     U (x) = A x² + B x + C

Let's calculate the derivatives

    dU / dx = A 2x + B + 0

The other derivatives are zero because the potential does not depend on these variables.

Let's calculate the strength

      F = - 2 A x - B

3 0
3 years ago
Other questions:
  • The ultimate source of energy for almost all living organisms is A. animals. B. bacteria. C. plants. D. the Sun.
    10·2 answers
  • A stream of warm air with a dry-bulb temperature of 36°C and a wet-bulb temperature of 30°C is mixed adiabatically with a stream
    6·1 answer
  • What is Yusef most likely finding?
    12·1 answer
  • The transfer of thermal energy between two bodies which are at different temperatures. The si unit for this is the joule. Genera
    12·2 answers
  • Explain why you poured the water into water before you identify the smell ?
    14·1 answer
  • Your friend says that inertia is a force that keeps things in their place, either at rest or moving at a constant speed. Do you
    6·1 answer
  • A car possesses 20 000 units of momentum. What would be the car's new momentum if its mass was doubled
    6·1 answer
  • A charged particle moves through a velocity selector at a constant speed in a straight line. The electric field of the velocity
    6·1 answer
  • The ancient Egyptians build their pyramids using a ramp to move the heavy blocks up. The length of the ramp was 25m and the heig
    10·1 answer
  • Hi I have a question it’s not about the subject but is at the same time what is Physics?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!