Answer:
[tex]\boxed {\boxed {\sf 1337.7 \ Joules}}[/tex]
Explanation:
We are asked to find the gravitational potential energy at the highest point in the jump.
Gravitational potential energy is the energy an object possesses due to its position in a gravitational field. It is calculated using the following formula:
[tex]GPE= m \times g \times h[/tex]
The mass of the jumper is 65 kilograms and they reach a height of 2.1 meters. Assuming this situation is occurring on Earth, the acceleration due to gravity is 9.8 meters per second squared.
- m= 65 kg
- g= 9.8 m/s²
- h= 2.1 m
Substitute the values into the formula.
[tex]GPE = 65 \ kg \times 9.8 \ m/s^2 \times 2.1 \ m[/tex]
Multiply the numbers together.
[tex]GPE=637 kg*m^2/s^2 \times 2.1 \ m[/tex]
[tex]GPE=1337.7 \ kg*m^2/s^2[/tex]
Convert the units. 1 kilogram meter squared per second squared is equal to 1 Joule, so our answer of 1337.7 kg*m²/s² is equal to 1337.7 J.
[tex]GPE= 1337.7 \ J[/tex]
The gravitational potential energy at the highest point in the jump is 1337.7 Joules.
