How much force will a tennis racket need to exert on a tennis ball, with a mass of .67 kg, to make it accelerateat a rate of 5,600m/s^2?
To calculate the force needed to make a tennis ball accelerate at a rate of 5,600 m/s^2, you can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a).
Given:
Mass of the tennis ball (m) = 0.67 kg
Acceleration (a) = 5,600 m/s^2
Using the equation F = m * a, we can calculate the force needed.
F = 0.67 kg * 5,600 m/s^2
F = 3,752 Newtons
Therefore, the tennis racket needs to exert a force of 3,752 Newtons on the tennis ball to make it accelerate at a rate of 5,600 m/s^2.
To find the force required to make a tennis ball accelerate at a certain rate, we can use Newton's second law of motion, which states that force (F) is equal to mass (m) multiplied by acceleration (a).
The given mass of the tennis ball is 0.67 kg, and the desired acceleration is 5,600 m/s^2. Therefore, we can use the formula:
F = m * a
Substituting the given values:
F = 0.67 kg * 5,600 m/s^2
Calculating this:
F = 3,752 Newtons
So, the tennis racket will need to exert a force of 3,752 Newtons on the tennis ball to make it accelerate at a rate of 5,600 m/s^2.
Please note that this calculation assumes there are no other forces acting on the tennis ball, such as air resistance or friction.