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1) An object with a mass of 5.5 kg is allowed to slide from rest down an inclined plane. The plane makes an angle of 30° with the horizontal and is 72 m long. The coefficient of friction between the plane and the object is 0.35.

a) Draw a complete free body diagram for the 5.5 kg mass

1111_Draw a complete free body diagram.png

b) What is the speed of the object at the bottom of the plane?

2) A 2.0 kg block and a 1.0 kg block are pushed across a horizontal surface by a force applied to the 1.0kg block as shown in figure. The coefficient of kinetic friction between the blocks and the horizontal surface is 0.20. If the magnitude of F is 20N, what is the tension in the string that connects the blocks

2339_Draw a complete free body diagram1.png

3. A 150-g block is projected up a ramp with an initial speed of 7.0 m/s. The coefficient of kinetic friction between the ramp and the block is 0.23.

(a) Draw a complete free body diagram for the block

(b) If the ramp is inclined 25° with the horizontal, how far along the surface of the ramp does the block slide before coming to a stop?

(c) The block then slides back down the ramp. What is the minimum coefficient of static friction between the block and the ramp, if the block is not to slide back down the ramp?

4) A 40.0 kg girl and a 8.4 kg sled are on ice (friction coefficient 0.01) of a frozen lake, 15m apart but connected by a rope of negligible mass. The girl exerts a horizontal 5.2N force on the rope.

(a) draw free body diagrams for the girl and the sled

(b) what is the acceleration of the sled

(c) what is the acceleration of the girl

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