Question

The student claims that about Jock 3.0 m would have fewer than 96 J of kinetic energy upon a hitting the ground is she correct?

Answer 1

To determine if the student is correct, we need to utilize the equation for kinetic energy:

Kinetic energy (KE) = (1/2) * mass * velocity^2

Since we are given the height (3.0 m) and not the velocity, we need to find the velocity first using the equation for gravitational potential energy:

Potential energy (PE) = mass * gravity * height

Since gravitational potential energy is converted to kinetic energy as the object falls, we can equate the two equations:

PE = KE

mass * gravity * height = (1/2) * mass * velocity^2

height = (1/2) * velocity^2 / gravity

After rearranging the equation, we find:

velocity = √(2 * gravity * height)

Now, let's calculate the velocity:

velocity = √(2 * 9.8 m/s^2 * 3.0 m)
= √(58.8 m^2/s^2)
= 7.67 m/s

Now, let's calculate the kinetic energy at this velocity:

KE = (1/2) * mass * velocity^2

Since we don't have the mass of Jock, we cannot determine the exact kinetic energy. Thus, we cannot say for certain if the student's claim is correct without additional information.