a) By how much will the box compress the weaker spring? Express your answer usin

Question

a)

By how much will the box compress the weaker spring?

Express your answer using two significant figures.

B) What is the maximum speed the box will reach?

Express your answer using two significant figures.

v max = ____ m/s

Please show work also so I understand. Thanks :)

A 2. 0kg box moves back and forth on a horizontal frictionless surface between two different springs, as shown in the accompanying figure. The box is initially pressed against the stronger spring, compressing it 5. 0 cm , and then is released from rest. delta

Explanation / Answer

A) Energy stored in spring = 0.5 kx^2 = 0.5*3200*(0.05^2) = 4 joules

this will get converted to the elastic energy of weaker spring = 0.5 k x^2 = 4

x^2 = 4*2/1600 = sqrt(1/200)

x= 7.07 cm

B) Max speed after it is released from the first spring

0.5mV^2 = 4

V^2 = 4*2/2

V = 2 m/s

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