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In a set of tracks, to go from A to B you must travel 100m to the west and 300m to the south. To go from B to C you must travel 200m east and 100m north. What should be the route to go directly from A to C?
A. 100m east and 200m south
B. 300m east and 200m south 
C. 300m east and 400m south 
D. 100m east and 400m south 
E. 300m west and 100m north 

A box of mass m=15 kg at the packaging section of a factory comes to the top of a ramp ("\\theta =37^{\\circ }") with speed vo and slides down where it is picked up for shipment. In order to avoid damage to the box a spring is used with force constant k=100N/m and the maximum force Fmax=100N. The box slides a distance of l=4 m down the incline before it hits the spring as shown. The coefficient of kinetic friction between the box and entire ramp is 0.75.

a) Find the work done by the gravity , normal force and friction force on the box until it hits the spring.

b) Find the maximum speed of the box at the top of the ramp if the box is to be picked up when the spring is in maximum compression.


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