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 point)

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 point)

A. 0.01 N

B. 7.5 N

C. 6.5 N

D. 1 N

Answer 1

To find the force exerted by the floor on the ball, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = ma).

First, we need to find the acceleration of the ball after it hits the floor. Since it hits the floor on the south end of the court and the floor sends it toward the tennis player's opponent with the same acceleration, the acceleration will be the same as the initial acceleration of the ball before it hits the floor, which is given as 10 meters per second squared.

Next, we need to find the mass of the ball. The mass is given as 0.1 kilograms.

Plug these values into the equation F = ma:

F = 0.1 kg * 10 m/s^2

F = 1 N

Therefore, the floor on the south end of the court exerted a force of 1 N on the ball.

The correct answer is D. 1 N.

Answer 2

To calculate the force exerted by the floor on the ball, we can use Newton's second law of motion, which states that force equals mass multiplied by acceleration (F = m x a).

Given:
Mass of the ball (m) = 0.1 kg
Acceleration of the ball (a) = 10 m/s^2

To find the force (F), we need to first calculate the mass of the ball in grams.

1 kilogram = 1000 grams

Therefore, the mass of the ball in grams is:
0.1 kg × 1000 g/kg = 100 g

Now, we can calculate the force:

F = m x a
F = 100 g x 10 m/s^2
F = 1000 g⋅m/s^2

We can convert the force from grams⋅m/s^2 to Newtons (N):

1 N = 1000 g⋅m/s^2

Converting the force to Newtons, we have:
F = 1000/1000 N
F = 1 N

Therefore, the force exerted by the floor on the ball is 1 N.

Therefore, the correct answer is D. 1 N.