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.
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
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