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1.) A plane needs to fly 250.0 km/h north while encountering a wind pushing it directly northeast at 75.0 km/h. What is the velocity of the plane and the heading? (solution)
2.) A flower pot falls from a windowsill 25.0 m above the sidewalk. How fast is the flower pot moving when it strikes the ground? (solution)
3.) During a throw, a baseball pitcher exerts a force on the ball through a distance of 3.20 m before releasing it. If the 0.12 kg ball leaves the pitcherĂs hand with a speed of 35.0 m/s, how much of a force did the pitcher exert on the ball? (solution)
4.) The moon orbits the earth at a distance of 3.90 x 108m. If the gravitational force of attraction between them is 1.90 x 1020 N, what is the mass of the moon? (solution)
5.) Two soccer players kick a ball at the same instant. One strikes with a force of 65 N north and the other 88 N east. Find the resultant force and heading of the ball. (solution)
6.) A boy and a girl carry a 12.0 kg bucket of water by holding the ends of a rope with the bucket attached at the middle. If there is an angle of 100.0° between the two segments of the rope, what is the tension in each part? (solution)
7.) A traffic light is supported by two wires. The angle between the two wires is 80.0°. If the maximum tension in each wire is 750 N, what is the maximum weight of the light they can support? (solution)
8.) If the coefficient of friction between a set of waxed skis and the snow is .10, at what angle will a skier move at a constant speed down the slope? (solution)
9.) A physics student is twirling a 50.0 g rubber stopper attached to a 0.950 m length of cord at a uniform speed in a vertical circle. If its speed is 3.50 m/s, what is the tension in the cord at the bottom of the circle? (solution)
10.) What is the rotational inertia of a spinning 0.20 kg baseball with a diameter of 15 cm? (solution)
11.) A pendulum is 3.500 m long. What is its period at the North Pole where g is 9.832 m/s2? (solution)
12.) A pendulum has a frequency of 5.50 Hz on earth at a point where g = 9.80 m/s2. What would be its frequency on Jupiter where g = 24.89 m/s2 (solution)
13.) How much work is done by pushing a 45.5 kg wooden trunk a distance of 9.75 m across the floor if the coefficient of friction is 0.250? (solution)
14.) A pulley system has an efficiency of 87.5%. How much of the rope must be pulled in if a force of 648 N is needed to lift a 105 kg desk 2.46 m? (solution)
15.) A 65 kg diver is poised at the edge of a 10.0 m platform. Calculate the diverĂs potential energy relative to the pool? (solution)
16.) The muzzle velocity of a 50.0 g shell leaving a 3.00 kg rifle is 400.0 m/s. What is the recoil velocity of the rifle? (solution)
17.) A 55.0 kg sailor jumps from a dock into a 100.0 kg rowboat at rest
beside it. If the linear velocity of the sailor is 5.00 m/s as he leaves
the dock, what is the resultant velocity of the sailor and the boat? (solution)
Constants!
g = 9.80 m/s2
M(proton) =1.67 x 10-27 kg
M(electron) = 9.11 x 10-31 kg
G = 6.67 x 10-11 Nm2/kg2
R(earth) = 6.37 x 106 m
M(earth) = 5.96 x 1024 kg
