The rotation of the smaller wheel in the figure causes the larger wheel to rotate. Through how many degrees, to the nearest tenth, will the larger wheel rotate if the smaller one rotates through $60.0^{\circ}$ ?

A sector of a circle has an area of 53.39 ft squared and a radius of 10.5 ft. Calculate the perimeter of the sector to the nearest foot.

Assume that the earth’s orbit is circular. A line from the earth to the sun sweeps out an angle of how many radians in 1 week? Express the answer in terms of p and as a decimal fraction to two decimal places. (Assume exactly 52 weeks in a year.)

The sun is about 1.5 x 10 raised to 8 km from the earth. If the angle subtended by the diameter of the sun on the surface of the earth is 9.3 x 10 raised to -3 rad approximately what is the diameter of the sun? [Hint: Use the intercepted arc to approximate the diameter.]

A particular woman, when standing and facing forward, can swing an arm in a plane perpendicular to her shoulders through an angle of 3p>2 rad . Find the length of the arc (to the nearest centimeter) her fingertips trace out for one complete swing of her arm. The length of her arm from the pivot point in her shoulder to the end of her longest finger is 54.3 cm while it is kept straight and her fingers are extended with palm facing in.

How far must you stretch a spring with k = 1000 N/m to store 200 J of energy?

A 72 kg bike racer climbs a 1200-m-long section of road that has a slope of $4.3 ^ { \circ }$. By how much does his gravitational potential energy change during this climb?

The lowest point in Death Valley is 85.0 m below sea level. The summit of nearby Mt. Whitney has an elevation of 4420 m. What is the change in gravitational potential energy of an energetic 65.0 kg hiker who makes it from the floor of Death Valley to the top of Mt. Whitney?

A 20 g plastic ball is moving to the left at 30 m/s. How much work must be done on the ball to cause it to move to the right at 30 m/s?

How fast would an $80 \mathrm{~kg}$ man need to run in order to have the same kinetic energy as an $8.0 \mathrm{~g}$ bullet fired at $400 \mathrm{~m} / \mathrm{s}$?

A car is travelling at 10 m/s. a. How fast would the car need to go to double its kinetic energy? b. By what factor does the car's kinetic energy increase if its speed is doubled to 20 m/s?

Which has the larger kinetic energy, a 10 g bullet fired at 500 m/s or a 10 kg bowling ball sliding at 10 m/s?

A boy flies a kite with the string at a $30 ^ { \circ }$ angle to the horizontal. The tension in the string is 4.5 N. How much work does the string do on the boy if the boy. a. Stands still? b. Walks a horizontal distance of 11 m away from the kite? c. Walks a horizontal distance of 11 m toward the kite?

When you pound a nail with hammer, the nail gets quite warm. Describe the energy transformations that lead to the addition of thermal energy in the nail.