A 3.25 kg block is sent up a ramp inclined at an angle θ = 32.5 ° from the horizontal. It is given an initial velocity v 0 = 15.0 m / s up the ramp. Between the block and the ramp, the coefficient of kinetic friction is μ k = 0.382 and the coefficient of static friction is μ s = 0.687. How far up the ramp in the direction along the ramp does the block go before it comes to a stop?

A47.2 g block of copper whose temperature is 480 k is placed in an insulating box with a 91.8 g block of lead whose temperature is 200 k. (a) what is the equilibrium temperature of the two-block system? (b) what is the change in the internal energy of the two-block system between the initial state and the equilibrium state? (c) what is the change in the entropy of the two-block system? the heat capacities of copper and lead are 386 j/kg·k and 128 j/kg·k, respectively.