1)An archer pulls her bow string back 0.35 m by exerting a force that increases uniformly from zero to 320 N. What is the equivalent spring constant of the bow, and how much work is done in pulling the bow?

2)The four tires of an automobile are inflated to a gauge pressure of 2.21 10 ⁵ N/m ² (32 PSI). Each of the four tires has an area of 0.024 m ² that is in contact with the ground. Determine the weight of the auto.

3)The oscillation of the 0.56-kg mass on a spring is described byx= 6.0 cos (5.5t+ 0.80),wherexis in centimeters andtis in seconds. What are the velocity and acceleration at t = 2.1 s?

4)A vertical pipe, closed at the bottom end, is filled to a depth of 1.50 m with water and then an amount of oil of densityis added to make the total depth 2.70 m. The oil and water don't mix with the oil floating on top of the water. What is the increase in pressure at the bottom end of the pipe as a result of adding the fluids?

5) Water at ground level is moving in a pipe with diameter 12 cm, a speed of 2.2 m/sec, and a pressure of 450 kPa. The pipe goes up to the fourth floor of a building where its elevation is 16 meters above the ground and the pipe's diameter is reduced to 6.5 cm. The density of water is 1000 kg/ m³. What is the pressure of the water on the fourth floor?