1. In an experiment performed in a space station, a force of 37 N causes an object to have an acceleration equal to 5 m/s2. What is the object's mass?
2. On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a 18,500-kg jet from 0 to 69 m/s in 2.7 s. (Assume the catapult acts in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.)
2a. What is the acceleration of the jet in m/s2?
2b. What is the acceleration of the jet in g's?
2c. How far does the jet travel while it is accelerating?
2d. How large is the force that the catapult must exert on the jet?
3. An airplane is built to withstand a maximum acceleration of 5 g. If its mass is 1,500 kg, what size force would cause this acceleration?
4. Under certain conditions, the human body can safely withstand an acceleration of 10 g.
4a. What net force would have to act on someone with mass of 59 kg to cause this acceleration?
4b. First, find the weight of such a person in pounds. Second convert the answer obtained in part (a) into pounds.
Weight of person and Net force from part (a)
5. A race car rounds a curve at 52 m/s. The radius of the curve is 401 m, and the car's mass is 695 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)
5a. What is the car's (centripetal) acceleration?
5b. What is it in g's? (enter value to 3 decimal places)
5c. What is the centripetal force acting on the car?
6. A hang glider and its pilot have a total mass equal to 113 kg. While executing a 360° turn, the glider moves in a circle with a 9 m radius. The glider's speed is 13 m/s. (Assume the glider turns along the horizontal plane.)
6a. What is the net force on the hang glider?
6b. What is the acceleration?
7. As a spacecraft approaches a planet, the rocket engines on it are fired (turned on) to slow it down so it will go into orbit around the planet. The spacecraft's mass is 2,475 kg and the thrust (force) of the rocket engines is 465 N. If its speed must be decreased by 1,159 m/s, how long (in minutes) must the engines be fired? (Ignore the change in the mass as the fuel is burned.)
8. As a baseball is being caught, its speed goes from 41 to 0 m/s in about 0.004 s. Its mass is 0.145 kg. (Take the direction the baseball is thrown to be positive.)
8a. What is the baseball's acceleration in m/s2? (Indicate the direction with the sign of your answer.)
8b. What is the baseball's acceleration in g's? (Indicate the direction with the sign of your answer.)
8c. What is the size of the force acting on it?