Greg places a box of DVDs on his table, which is sloped at an angle of 10° to the horizontal. The box has a mass of 6 kg.
a. If there is no friction, what is the acceleration of the box down the incline? (5 points)
b. If the coefficient of kinetic friction between the box and the table is 0.1, what is the acceleration of the box down the incline? (5 points)
c. What is the minimum coefficient of static friction between the box and the table that will prevent the box from slipping? (5 points)
Question 8 (11 points)
A diver of mass 60 kg jumps down on a diving board. The spring beneath the diving board has a spring constant of 5000 N/m. The spring compresses a distance of 0.3 m as the board bends down, then it releases and propels the diver upward.
a. How much elastic potential energy is stored in the diving board’s spring when it is compressed 0.3 m? (3 points)
b. How fast is the diver moving when the spring returns to its equilibrium position? (4 points)
c. How high does the diver go, compared with the height of the unbent diving board? (4 points)
Question 9 (14 points)
Jupiter has a mass of 1.9 × 1027 kg, and its moon Europa has a mass of 4.8 × 1022 kg. Their centers are separated by a distance of 670,900 km.
a. What is the force of gravity acting on Europa? (3 points)
b. What is the acceleration of Jupiter due to the force of gravity between it and Europa? (3 points)
c. Europa has a radius of 1569 km. What is the acceleration of gravity on the surface of Europa? (4 points)
d. One drops a rock from a height of 20 m on Europa. How long does it take the rock to reach the surface? (4 points)
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