Question

A tennis ball of mass m = 0.095 kg is thrown straight up with an initial speed v0 = 8 m/s. Let the gravitational potential energy be zero at the initial height of the tennis ball. What is the initial kinetic energy of the tennis ball?

1) 32 J
2) 64 J
3) 128 J
4) 256 J

Answer 1

The initial kinetic energy of a 0.095 kg tennis ball thrown with an initial speed of 8 m/s is approximately 3.04 J, and none of the provided answer choices are correct.

Step-by-step explanation:

The initial kinetic energy of the tennis ball can be calculated using the formula for kinetic energy, which is KE = 0.5 × m × v2, where m is the mass of the object and v is the velocity. In this case, the mass m of the tennis ball is 0.095 kg and the initial speed v0 is 8 m/s.

Substituting the given values into the formula, we get:

KE = 0.5 × 0.095 kg × (8 m/s)2

KE = 0.0475 × 64

KE = 3.04 J

Therefore, none of the provided answer choices (1) 32 J, (2) 64 J, (3) 128 J, or (4) 256 J are correct. The initial kinetic energy of the tennis ball is approximately 3.04 J.