A tennis player hits a 0.1-kilogram fennis 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

0.01 N

6.5 N

1 N

7.5 N

Answer 1

To find the force exerted by the floor on the ball, we can use Newton's second law, which states:

\[ F = m \cdot a \]

where:

• \( F \) is the force,
• \( m \) is the mass of the object (in kilograms),
• \( a \) is the acceleration (in meters per second squared).

In this case, we know:

• The mass of the tennis ball (\( m \)) is 0.1 kg,
• The acceleration (\( a \)) is given as 10 m/s².

Now, we can substitute these values into the formula:

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

Calculating that gives:

\[ F = 1 , \text{N} \]

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

Thus, the correct answer is 1 N.