Question

A ski jumper has a mass of 59.6 kg. She is moving with a speed of 23.4 m/s at a height of 44.6 meters above the ground. Determine the total mechanical energy of the ski jumper. Assume negligible air resistance and friction. (3 pts)

Answer 1

The total mechanical energy of the ski jumper is 41,946.9408 J, which is the sum of the kinetic energy and gravitational potential energy.

Step-by-step explanation:

To determine the total mechanical energy of the ski jumper, we need to consider two types of energy: kinetic energy and gravitational potential energy.

The kinetic energy is given by the equation KE = 0.5 * mass * speed^2. Plugging in the values, we get KE =
`0.5 * 59.6 kg * (23.4 m/s)^2 = 16,316.4288 J.`

The gravitational potential energy is given by the equation PE = mass * gravity * height. Plugging in the values, we get
`PE = 59.6 kg * 9.8 m/s^2 * 44.6 m = 25,630.512 J.`

To find the total mechanical energy, we simply add the kinetic energy and gravitational potential energy: E = KE + PE =
`16,316.4288 J + 25,630.512 J = 41,946.9408 J.`

Answer 2

Hello!

Use the formula:

M = k * p

Data:

M = Mechanic energy

k = Kinetic energy

p = Potencial energy

Descomposing:

M = (0,5*mv²) + (mgh)

Replacing:

M = (0,5 * 59,6 kg * (23,4 m/s)²) + (59,6 kg * 9,81 m/s² * 44,6 m)

M = 16317,28 J + 26076,54 J

M = 42393,82 J

The mechanic energy is 42393,82 Joules.