A block of mass m sits at rest against a spring, which has spring constant k...
A block of mass m sits at rest against a spring, which has spring constant k and is compressed an amount of deltax from its equilibrium length. The spring is released, and the block slides along the smooth ground before reaching a ramp that makes an angle theta with respect to the ground.
a) What is the maximum distance along the length of the ramp that the block will slide? GIve your answer in terms of the variables given.
b) Find an expression for the power that the force of gravity extracts from the block as it slides up the ramp. You may only use the given variables, as well as a variable representing the displacement along the ramp.
c) Using the expression you found in part (b), write an integral equation that will yield the change in gravitational potential energy of the block at some arbitrary time after it starts up the ramp. You do not need to solve the integral, but it must only include the given variables (not including the variable representing the distance up the ramp) and common physical constants.
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