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 1 N 1 N 6.5 N 6.5 N 0.01 N 0.01 N 7.5 N
To find the force exerted by the floor on the ball, we need to use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a):
F = m * a
In this case, the mass (m) of the tennis ball is 0.1 kilograms and the acceleration (a) is 10 meters per second squared. Plugging these values into the formula, we get:
F = 0.1 kg * 10 m/s^2 = 1 N
Therefore, the floor on the south end of the court exerts a force of 1 N on the ball.
To find the force exerted by the floor on the ball, we can use Newton's second law of motion, which states that the force acting on an object is equal to its mass multiplied by its acceleration.
Given:
Mass of the ball (m) = 0.1 kg
Acceleration (a) = 10 m/s²
First, we need to find the acceleration of the racket. We know that acceleration is the rate of change of velocity, so we need to convert the velocity of the racket from kilometers per hour to meters per second.
Velocity of the racket (v) = 65 km/h = 65,000 m / (60 × 60) s ≈ 18.06 m/s
Now, we can calculate the force exerted by the racket using the equation:
Force = Mass × Acceleration
Force = (Mass of the ball) × (Acceleration of the racket)
= 0.1 kg × 18.06 m/s
≈ 1.806 N
Since the ball undergoes the same acceleration when it hits the floor, the force exerted by the floor on the ball is also approximately 1.806 N.
Therefore, the correct answer is 1.806 N (approximately).
To find the force exerted by the floor on the ball, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
First, we need to find the acceleration experienced by the ball. We are given that the ball accelerated at a rate of 10 meters per second squared. Since the floor sends the ball toward the tennis player's opponent with the same acceleration, the acceleration experienced by the ball is still 10 meters per second squared.
Next, we need to determine the mass of the ball, which is given as 0.1 kilograms.
Now, we can substitute the values into the formula F = ma:
F = (0.1 kg) * (10 m/s^2)
F = 1 N
Therefore, the force exerted by the floor on the ball is 1 Newton.