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

6.5 N
6.5 N

7.5 N
7.5 N

0.01 N
0.01 N

1 N

Answer 1

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

\[ F = m \times a \]

In this case, we know:

• The mass of the tennis ball, \(m = 0.1 , \text{kg}\)
• The acceleration of the ball after it hits the floor, \(a = 10 , \text{m/s}^2\)

Now we can plug in these values:

\[ F = 0.1 , \text{kg} \times 10 , \text{m/s}^2 \] \[ F = 1 , \text{N} \]

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