In the sport of pole vaulting, the jumper's point of mass concentration, called the centre of mass, must clear the pole. Assume that a 59 kg jumper must raise the centre of mass from 1.1 m off the ground to 4.6 m off the ground. What is the jumper's potential energy at the top of the bar relative to the point at which the jumper started to move?

P.E. change = M*g*(change in H)

In the sport of pole vaulting, the jumper's point of mass concentration, called the centre of mass, must clear the pole. Assume that a 59 kg jumper must raise the centre of mass from 1.1 m off the ground to 4.6 m off the ground. What is the jumper's potential energy at the top of the bar relative to the point at which the jumper started to move?

can you please show step by step what to do with solutions
thanks it would be great help

This is a one step problem. Use the formula I provided to calculate the Potential Energy change at the top of the jump.

so i did Ep=Mg (hf-hi)

=59(9.8)(4.6-1.1)
=2023.7 J

is this right

To find the potential energy of the jumper at the top of the bar, we can use the equation:

Potential Energy = Mass x Gravity x Height

First, let's convert the mass of the jumper from kilograms to grams. Since there are 1000 grams in one kilogram, the mass of the jumper is:

Mass = 59 kg = 59,000 g

Next, let's calculate the change in height. The jumper starts at a height of 1.1 m off the ground and ends at a height of 4.6 m off the ground. The change in height is:

Height = 4.6 m - 1.1 m = 3.5 m

Now we can substitute the values into the equation:

Potential Energy = 59,000 g x 9.8 m/s^2 x 3.5 m

Next, let's calculate the value:

Potential Energy = 59,000 g x 9.8 m/s^2 x 3.5 m = 2,043,350 g m^2/s^2

Finally, let's convert the unit from grams-meter squared per second squared (g m^2/s^2) to joules (J). Since 1 J is equal to 10^7 g m^2/s^2, the potential energy is:

Potential Energy = 2,043,350 g m^2/s^2 / 10^7 = 0.204335 J

Therefore, the jumper's potential energy at the top of the bar relative to the point at which the jumper started to move is approximately 0.204335 joules.