1. Suppose you are driving a 500-kg Zamboni when it suddenlybreaks down, forcing you to get out and push. You apply a force of85 N on the machine, which experiences a constant frictional forceof 5 N. How long (in seconds) will it take to push the Zamboni theremaining 40 m?

2. The coefficient of static friction between Kylo Ren's shoesand the floor of Starkiller Base is 0.21. How large (in Newtons) isthe frictional force acting on his 90 kg body when he stands on anincline that forms an angle of 20^owith thehorizontal?

3. A 4 kg box is placed on a ramp that forms an angle of26^o with the horizontal. The coefficient of frictionbetween the ramp and the box is 0.25. How long will it take the boxto slide (from rest) 18 m to the bottom of the ramp?

4.

The Atwood machine is a simple device in which an object issuspended over a pulley and attached to another as shown:

Find the acceleration of block m₁ in m/s²,assuming it has a mass of 9 kg and m₂ has a mass of 6 kg(ignore the mass of the pulley and friction in the axel).

5. While camping, you decide it is imperative to protect yourbeef jerky from those jerk raccoons that have been following youfor miles. You suspend your cooler in the air, using two ropes tiedto trees as shown:

Assuming =20^o and =35^o, find the tensionin the rope on the left (in Newtons).

6. A tugboat traveling through Venice is pulling two smallerboats behind it using tow cables. The tugboat is connected to boatA, which has a mass of 300 kg and experiences a constant drag forceof 70 N from the water. Boat A is connected via tow cable to boatB, which has a mass of 400 kg and experiences a drag force of 85 N.The tension in the cable between the tugboat and boat A is 2800 N.Find the acceleration of boat b (in m/s²).

7. A turtle is pushing a 2.5 kg rock across a flat surfacethrough the desert. The turtle is applying a force of 10 N on therock, which moves at a constant velocity. How much frictional forcedoes the rock experience (in Newtons)?

8.

Consider the configuration shown below:

in which M₁ is being pulled up a ramp byM₂, which is descending due to the force of gravity.M₁ is experiencing a constant frictional force, whichcauses it to move at a constant velocity. If ,M₁ = 16kg, and M₂ = 12 kg, what is the coefficient of frictionbetween the block and the ramp? (ignore the mass of the pulley)