Please help!

1) While skiing in Jackson, Wyoming, your
friend Ben (of mass 73.8 kg) started his descent
down the bunny run, 23.9 m above the
bottom of the run.
If he started at rest and converted all of
his gravitational potential energy into kinetic
energy, what is Ben’s kinetic energy at the
bottom of the bunny run?
Answer in units of J.

2) What is his final velocity?
Answer in units of m/s.

LOL, you answered your own question

Potential energy = m g h
Kinetic energy = (1/2) m v^2
so
(1/2) m v^2 = m g h = 73.8*9.81*23.9 Joules (your first answer)
so
v = sqrt (2 g h)
(by the way, remember that. You need it frequently)

To calculate the kinetic energy, you can use the formula:

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

1) First, let's calculate the potential energy at the top of the bunny run using the formula:

Potential energy = mass * gravity * height

Given:
mass (m) = 73.8 kg
gravity (g) = 9.8 m/s^2 (acceleration due to gravity)
height (h) = 23.9 m

Potential energy = 73.8 kg * 9.8 m/s^2 * 23.9 m

Next, let's calculate the kinetic energy at the bottom of the bunny run.
Since all the potential energy is converted into kinetic energy:

Kinetic energy = Potential energy

So the kinetic energy at the bottom of the bunny run is:

Kinetic energy = 73.8 kg * 9.8 m/s^2 * 23.9 m

Now, to find the final velocity, we need to rearrange the kinetic energy formula:

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

Rearranging, we get:

velocity^2 = (2 * kinetic energy) / mass

Finally, we can solve for velocity:

velocity = √[(2 * kinetic energy) / mass]

2) Substitute the values into the formula to find the final velocity:

velocity = √[(2 * (73.8 kg * 9.8 m/s^2 * 23.9 m)) / 73.8 kg]

Simplify and calculate the value of velocity.

Please note that the given values assume no energy losses due to friction or other factors.

1) To find Ben's kinetic energy at the bottom of the bunny run, we can use the conservation of energy principle. The gravitational potential energy he started with is given by the formula:

Potential Energy = mass * acceleration due to gravity * height

where mass = 73.8 kg, acceleration due to gravity = 9.8 m/s^2, and height = 23.9 m.

Potential Energy = 73.8 kg * 9.8 m/s^2 * 23.9 m
= 16823.704 J

Since he converted all of his gravitational potential energy into kinetic energy, the kinetic energy at the bottom of the run will be the same as the potential energy.

Therefore, Ben's kinetic energy at the bottom of the bunny run is 16823.704 J.

2) To find his final velocity, we can use the formula for kinetic energy:

Kinetic Energy = (1/2) * mass * velocity^2

Rearranging the formula, we get:

velocity^2 = (2 * Kinetic Energy) / mass

Substituting the given values, we have:

velocity^2 = (2 * 16823.704 J) / 73.8 kg
= 457.116 J/kg

Taking the square root of both sides:

velocity = sqrt(457.116 J/kg)
= 21.37 m/s

Therefore, Ben's final velocity at the bottom of the bunny run is 21.37 m/s.

ur mum