- #1
i_hate_math
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- 2
Homework Statement
A 975 g block is released from rest at height h0 above a vertical spring with spring constant k = 410 N/m and negligible mass. The block sticks to the spring and momentarily stops after compressing the spring 24.2 cm. How much work is done (a) by the block on the spring and (b) by the spring on the block? (c) What is the value of h0? (d) If the block were released from height 4h0 above the spring, what would be the maximum compression of the spring?
Homework Equations
Mechanical Energy: Emec=K+U
Conservation of Emec: K2+U2=K1+U1
Elastic Potential Energy: U(x)=0.5mk^2
Gravitational Potential Energy: U=mgh
The Attempt at a Solution
Part a&b are fairly straight forward I've got them right,
my attempt for part c was to set the "momentarily stop" as 0 for the height, and thus have
mgh0 = 0.5kx^2
and h0=1.256475144... but i was marked incorrect for this value.
so is my answer to part d, x=0.484m wrong.