1) Two horses are pulling a sled. One is pulling it 32 east of north at 6 miles per hour. The other is pulling it 17 west of north at 8 miles per hour.

a. How fast is each horse moving in meters per second? (There are 1609.34 meters in one mile.)

b. What is the velocity of the sled? Please give your answer in meters per second.

c. How far will the sled travel after 30 minutes?

2) Aircraft taking off from a Gerald R. Ford-class carrier have approximately 112 meters of available runway.

a. An airplane aboard a Gerald R. Ford-class carrier starts at rest and has to reach a speed of 71.5 meters per second, relative to the deck of the carrier, to take off. If it uses all of the available runway, how long does it take the airplane to take off?

b. What is the acceleration of the airplane?

c. If the airplane has a mass of 31,000 kilograms, how much force is required for it to take off?

d. If the carrier is moving at 15.4 meters per second relative to the ocean, what is the takeoff speed of the aircraft relative to the ocean?

3) A typical regulation curling stone has a mass of 1.860 kilograms and can be no bigger than 914.4 millimeters in diameter. The player who delivers the stone is known as the skip. In a perfect throw, the stone will leave the skip's hand at about 2 meters per second and slide 28.35 meters across the ice before coming to a complete stop.

a. How much friction acted on the stone? Is this kinetic friction or static friction?

b. What is the coefficient of friction between the stone and the ice?

c. How much time will it take for the stone to come to a complete stop?

4) The Great Pyramid of Giza was built by Pharaoh Khufu about 4600 years ago. It is a triangular structure that was originally about 146.6 meters tall and its side were inclined 51.5 above the horizontal. A typical stone block in the pyramid has a mass of 2359 kg and workers used to pull them up ramps along the sides of the pyramid.

a. Ignoring friction, how much force is required to move one of those blocks up one of the sides of the pyramid at a constant velocity?

b. Draw the free body diagram for the block in the previous step.

c. Let's assume the rope the workers were using to pull the block broke when the block was 135.7 meters above the ground. If the block started at rest, how long would it take the block to hit the ground?

d. How fast would the block be moving at the bottom of the ramp?

5) A cannon launches a cannonball at 35 above the horizontal.

a. The cannonball lands 240 meters away from the cannon and reaches a height of 42 meters above the ground. What is the initial velocity of the cannonball?

b. How much time will the cannonball spend in the air?

c. What is the cannonball's velocity right before it hits the ground?

6) The Mercury space capsules had a drag coefficient of 1.45 and carried a mass of roughly 1415.5 kilograms. Its base was roughly circular with a diameter of 1.9 meters.

a. The Earth's atmosphere has a density of 1.225 kilograms per cubic meter. What is the terminal velocity of a Mercury capsule falling towards the Earth?

b. What is the drag force acting on the capsule in that situation?

7) The Incredible Hulk punches a tank with 75 kilonewtons of force. How much force does the tank exert on the Hulk? Explain your reasoning.