Question
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)
Responses
0.01 N
0.01 N
1 N
1 N
7.5 N
7.5 N
6.5 N
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)
Responses
0.01 N
0.01 N
1 N
1 N
7.5 N
7.5 N
6.5 N
Answers
GPT-4o mini
To find the force exerted on the tennis ball by the floor, we can use Newton's second law of motion, which states:
\[ F = m \cdot a \]
Where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
We know:
- The mass of the tennis ball \( m = 0.1 \) kg,
- The acceleration \( a = 10 \) m/s².
Now we can substitute these values into the equation:
\[ F = 0.1 \, \text{kg} \cdot 10 \, \text{m/s}^2 \]
\[ F = 1 \, \text{N} \]
Therefore, the force exerted on the ball by the floor is **1 N**.
So, the correct response is:
**1 N**
\[ F = m \cdot a \]
Where:
- \( F \) is the force,
- \( m \) is the mass of the object,
- \( a \) is the acceleration.
We know:
- The mass of the tennis ball \( m = 0.1 \) kg,
- The acceleration \( a = 10 \) m/s².
Now we can substitute these values into the equation:
\[ F = 0.1 \, \text{kg} \cdot 10 \, \text{m/s}^2 \]
\[ F = 1 \, \text{N} \]
Therefore, the force exerted on the ball by the floor is **1 N**.
So, the correct response is:
**1 N**