Jennifer hits a stationary 0.20-kg ball, and it leaves her racket at 40 m/s. Time-lapse photography shows that the ball was in contact with the racket for 40 ms.What average force did the ball exert on the racket?
Question
Jennifer hits a stationary 0.20-kg ball, and it leaves her racket at 40 m/s. Time-lapse photography shows that the ball was in contact with the racket for 40 ms.What average force did the ball exert on the racket?
Solution
To solve this problem, we need to use Newton's second law of motion, which states that the force exerted on an object is equal to the mass of the object multiplied by its acceleration.
Step 1: Calculate the acceleration of the ball. Acceleration is the change in velocity divided by the time it takes for this change to occur. In this case, the ball goes from 0 m/s to 40 m/s in 40 ms, which is 0.04 seconds. So, the acceleration is (40 m/s - 0 m/s) / 0.04 s = 1000 m/s².
Step 2: Calculate the force exerted on the ball. According to Newton's second law, the force is the mass of the ball multiplied by its acceleration. So, the force is 0.20 kg * 1000 m/s² = 200 N.
Therefore, the average force that the ball exerted on the racket is 200 Newtons.
Similar Questions
The tennis ball hits the racket at a speed of 52m/s. The average force on the ball during the time that is in contact with the racket is 350N. The speed of the ball after it leaves the racket is 26m/s in the opposite direction to the initial speed of the ball. The mass of the ball is 58g. Calculate the change in momentum of the ball while it is in contact with the racket.
A tennis ball of mass 50g is hit against a wall. It hits the wall going right at 5 ms-1 and rebounds to the left at 4 ms-1, changing its momentum by 0.45 kg m/s left.If the ball is in contact with the wall for 0.2 s what is the average force applied by the wall on the ball (your answer is a vector)?
A baseball player hits a ball with a mass of 0.15 kg, and the ball accelerates at a rate of 40 m/s². What is the force applied to the ball?A 3
A tennis player hits a ball of mass 100g hard with the racket as a result of which the velocity of the ball changed from 2 m/s due east to 4 m/s due west within 0.01 s. What is the force of impact?
A 0.030 kg golf ball is hit off the tee at a speed of 34 m/s. The golf club was in contact with the ball for 0.0030 s. What is the average force on the ball by the golf club?
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.