A cheerleader standing at the top of a human pyramid has 3.01 kJ of gravitational potential energy. If the cheerleader is 4.50m above the surface of the earth, her mass must be
To calculate the mass of the cheerleader, we need to use the equation for gravitational potential energy:
GPE = mgh
where GPE is the gravitational potential energy, m is the mass, g is the acceleration due to gravity, and h is the height.
Rearranging the equation, we have:
m = GPE / (gh)
Plugging in the given values:
m = 3.01 kJ / (9.8 m/s^2 * 4.50 m)
Converting 3.01 kJ to J:
m = 3010 J / (9.8 m/s^2 * 4.50 m)
m ≈ 67.282 kg
Therefore, the mass of the cheerleader is approximately 67.282 kg.