1. A 2 kg mass and a 4 kg mass are placed at the top of a ramp. When released, they slide down and compress two identical springs. A student states that one spring will be compressed twice as much as the other. Is the student correct? Explain.

1 Answer
Write your answer here...
Start with a one sentence answer
Then teach the underlying concepts
Don't copy without citing sources
preview
?

Answer

Write a one sentence answer...

Answer:

Explanation

Explain in detail...

Explanation:

I want someone to double check my answer

Describe your changes (optional) 200

1
Oct 22, 2017

Answer:

Student is incorrect

Explanation:

Potential energy at height “h” is mgh

Ratio of their potential energy # = (m_1gh)/(m_2gh) = m_1/m_2 = (2 kg) / (4 kg) = 1/2#

Potential energy gained by spring #= (kx^2)/2#

Ratio of potential energy gained by spring #= ((kx_1^2)/2)/((kx_2^2)/2) = (x_1/x_2)^2#

Energy is conserved. So,
Ratio of their potential energy = Ratio of potential energy gained by spring
#1/2 = (x_1/x_2)^2#

#x_2 = sqrt(2) × x_1#

Was this helpful? Let the contributor know!
1500
Impact of this question
Answer impact map
16 views around the world
You can reuse this answer
Creative Commons License