1. A 2.50-kilogram mud ball drops from rest at a height of 13.0 m. If the impact between the ball and the ground lasts 0.51 s, what is the magnitude of the average force exerted by the ball on the ground? 091
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- In Example 2.12, two circus performers rehearse a trick in which a ball and a dart collide. We found the height and time of the collision graphically. Return to that example, and find height and time by simultaneously solving the equations for the ball and the dart.A 57.0-g tennis ball is traveling straight at a player at 21.0 m/s. The player volleys the ball straight back at 25.0 m/s. If the ball remains in contact with the racket for 0.060 s, what average force acts on the ball? (a) 22.6 N (b) 32.5 N (c) 43.7 N (d) 72.1 N (e) 102 NThere is a compressed spring between two laboratory carts of masses m1 = 105 g and m2 = 212 g. Initially, the carts are held at rest on a horizontal track (Fig. P10.40A). The carts are released, and the cart of mass m1 has velocity vi=2.035i m/s in the positive x direction (Fig. 10.40B). Assume rolling friction is negligible. a. What is the net external force on the two-cart system? b. Find the velocity of cart 2. FIGURE P10.40 Problems 40 and 41.
- (a) During an ice skating performance, an initially motionless 80.0-kg clown throws a fake barbell away. The clown's ice skates allow her to recoil friction-lessly. If the clown recoils with a velocity of 0.500 m/s and the barbell is thrown with a velocity of 10.0 m/s, what is the mass of the barbell? (b) How much kinetic energy is gained by this maneuver? (c) Where does the kinetic energy come from?You have just planted a sturdy 2-m-tall palm tree in your front lawn for your mother's birthday. Your brother kicks a 500 g ball, which hits the top of the tree at a speed of 5 m/s and stays in contact with it for 10 ms. The ball falls to the ground near the base of the tree and the recoil of the tree is minimal. (a) What is the force on the tree? (b) The length of the sturdy section of the root is only 20 cm. Furthermore, the soil around the roots is loose and we can assume that an effective force is applied at the tip of the 20 cm length. What is the effective force exerted by the end of the tip of the root to keep the tree from toppling? Assume the tree will be uprooted rather than bend. (c) What could you have done to ensure that the tree does not uproot easily?1.A 0.50-kg croquet ball is initially at rest on the grass. When the ball is struck by a mallet, the average force exerted on it is 230 N. If the ball’s speed after being struck is 3.2 m/s, how long was the mallet in contact with the ball?Explain and labled the problem.
- A 650-g cricket ball that moves to the right with a speed of 15.0 m/s is struck by a cricket bat. The ball then moves to the left with a speed of 15.0 m/s. Calculate the magnitude of the average force on the ball if the ball remains in contact with the bat for 0.020 s. a. 98 N b. 160 N c. zero newtons d. 240 N e. 320 NDuring a collision with a wall, the velocity of a 0.200-kg ball changes from 20.0 m/s toward the wall to 12.0 m/s away from the wall. If the time the ball was in contact with the wall was 60.0 ms, what was the magnitude of the average force applied to the ball? O 167N 0400N O 13.3 N 107 NA 0.450-kg hammer is moving horizontally at 7.00 m/s when it strikes a nail and comes to rest after driving the nail 1.00 cm into a board. Assume constant acceleration of the hammer-nail pair.a. Calculate the duration of the impact.b. What was the average force exerted on the nail?
- 9. A baseball catcher is performing a stunt for a television commercial. He will catch a baseball (mass 145 g) dropped from a height of 60.0 m above his glove. His glove stops the ball in 0.01 s. What is the force exerted by his glove on the ball?2. A 200 g ball is dropped from a height of 2.0 m, bounces on the floor, and rebounds to a height of 1.5 m. The collision with the floor lasts 5.0 ms. What is the average force exerted by the floor on the ball?7. During a snowball fight, a 0.30-kilogram snowball traveling at a speed of 17.0 m/s hits a student in the back of the head. If the contact time is 0.10 s, what is the magnitude of the average force on the student's head? N ssf f60° Ossi 09 JS 50 ssf60