# Question 1 (1 points) {Energy Conservation} Two blocks are attached by an

Question 1

(1 points)

{Energy Conservation}

Two blocks are attached by an ideal rope that is laid over an non-ideal pulley. Initially, the blocks are set up as shown in the left half of the figure below, with the height of block A at yA,i = 2.00 meters and the height of block B at yB,i = 3.00 meters. An ideal spring sits, uncompressed, below block B. Block A has a mass of 5.00 kg, block B has a mass of 11.00 kg, and both blocks start from rest.

After being released, the blocks move until they reach the configuration shown in the right half of the figure below, with the height of block A at yA,f = 4.50 meters, the height of block B at yB,f = 0.50 meters, and the spring has been compressed by ΔySPRING = -0.250 meters, bringing both blocks to a (momentarily) stop. The non-ideal pulley has generated 50.0 Joules of heat in this process. [Assume that you can neglect air resistance and that the rope remains taut (tight) the entire time. Calculate the spring constant, k, of the spring.

Image size: SMLMax

Please enter a numerical answer below. Accepted formats are numbers or “e” based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8

N/m

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Question 2

This question contains multiple parts. Make sure to read all the instructions and answer each part.

{Advanced, Multiple Topics Question}

A block of mass m0 = 1.0 kg is used to compress a k0 = 250 N/m spring by Δx0 = 0.4 meters on a frictionless surface. When released, it slides 1.50 meters horizontally and then up a ramp that is at an angle of θ = 30° above the horizontal. At the top of the ramp, at a height of h = 0.70 meters above the initial surface, the block becomes airborne. The ramp is frictionless except for a 0.50-meter long patch of wood that has a μk = 0.60 coefficient of kinetic friction. Neglecting air resistance, we would like to know how far the mass lands from the end of the ramp.

Image size: SMLMax

Part a

(1 points)

Calculate the velocity of the block when it launches from the ramp

Please enter a numerical answer below. Accepted formats are numbers or “e” based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8

m/s

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Part b

(1 points)

Calculate the horizontal distance from the end of the ramp to where the block hits the ground after going airborne.

Please enter a numerical answer below. Accepted formats are numbers or “e” based scientific notation e.g. 0.23, -2, 1e6, 5.23e-8