Final answer:
The potential energy on impact for a ball of mass 0.4 kg dropped from a height of 30m is calculated using the formula PE = m * g * h. The correct answer is 117.6 J, which is option A.
Step-by-step explanation:
To calculate the potential energy on impact for the ball, we use the formula for gravitational potential energy (PE) which is PE = m * g * h, where:
- m is the mass of the ball (0.4 kg),
- g is the acceleration due to gravity (9.8 m/s²), and
- h is the height from which the ball is dropped (30 m).
Substituting the given values into the formula:
PE = 0.4 kg * 9.8 m/s² * 30 m = 117.6 J
Therefore, the potential energy on impact on the ground is 117.6 J, which corresponds to option A.