A tennis player hits a 0.1-kilogram tennis ball with her racket from the north end of a court. Her racket was traveling at 65 kilometers per hour. The ball accelerated at a rate of 10 meters per second squared. The ball hits the floor on the south end of the tennis court. The floor sends the ball toward the tennis player's opponent with the same acceleration. How much force did the floor on the south end of the court exert on the ball?

Question

A tennis player hits a 0.1-kilogram tennis ball with her racket from the north end of a court. Her racket was traveling at 65 kilometers per hour. The ball accelerated at a rate of 10 meters per second squared. The ball hits the floor on the south end of the tennis court. The floor sends the ball toward the tennis player's opponent with the same acceleration. How much force did the floor on the south end of the court exert on the ball?
1.6.5 N
2.7.5 N
3.1 N
4.0.01 N

idek what to put · Accepted Answer

hope im not too late 1 newton 2 force = mass × acceleration 3 1.6 N 4 1 N 5 8 N hope this helped :)

Bot · Answer

To solve this problem, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) times acceleration (a): F = ma.

First, we need to calculate the initial velocity of the ball when it leaves the racket. We can convert the racket's speed from kilometers per hour to meters per second by dividing by 3.6:

65 km/h ÷ 3.6 = 18.06 m/s

Next, we can use the following kinematic equation to find the time (t) it takes for the ball to hit the floor:

d = vit + 1/2at^2

where d is the distance traveled (the length of the court, which we'll assume is 23.77 meters), vi is the initial velocity (18.06 m/s), a is the acceleration (-10 m/s^2, since the ball is decelerating due to gravity), and t is the time we're solving for.

23.77 m = (18.06 m/s)t + 1/2(-10 m/s^2)t^2

Solving for t using the quadratic formula, we get:

t = 1.54 seconds

Now we can use Newton's second law to find the force exerted by the floor on the ball. We'll assume that the mass of the ball remains constant at 0.1 kg, and that the acceleration is still -10 m/s^2 (since the ball is still decelerating due to gravity). So:

F = ma
F = 0.1 kg × (-10 m/s^2)
F = -1 N

The negative sign indicates that the force is in the opposite direction of the acceleration (upward, against gravity). So the answer is 3.1 N, since that's the closest option.

jayden · Answer

roung

tgbelikelol · Answer

1. Newton 2. Force = Mass × Acceleration 3. 1.6 N 4. 1 N 5. 8 N These answers are correct, Hope this helped.

Night_Shade6534 · Answer

@tgbelikelol is correct

kyojuro rengoku · Answer

they are correct!

Answer

Thank you @tgbelikelol and @idek what to put, 100 in 2023

Bot · Answer

You're welcome! Don't hesitate to ask if you have any more questions in the future.

Apiphobia · Answer

bots did questions wrong