Final answer:
To find the mass of a tennis ball with kinetic energy of 77 joules and a velocity of 5 m/s, use the formula m = (2KE)/v², leading to a result of 6.16 kg for the mass of the ball.
Step-by-step explanation:
To calculate the mass of the tennis ball traveling at 5 m/s with a kinetic energy of 77 joules, we can use the kinetic energy formula: KE = ½mv², where KE is kinetic energy, m is mass, and v is velocity.
First, we can rearrange the formula to solve for mass (m): m = (2KE)/v².
Substituting the known values into this equation:
- KE = 77 joules,
- v = 5 m/s.
We get:
m = (2 * 77 joules) / (5 m/s)²
m = 154 / 25
m = 6.16 kilograms
Therefore, the mass of the tennis ball is 6.16 kg.