Question

which has more gpe, a 4 kg ball at 20 m or a 7 kg rock at 11 m in height?

Explanation:

Step1: Calculate GPE for the ball

The formula for gravitational potential energy (GPE) is \(GPE = mgh\), where \(m\) is mass, \(g = 9.8\ m/s^{2}\), and \(h\) is height.
For the ball: \(m = 4\ kg\), \(h = 20\ m\)
\(GPE_{ball}=4\times9.8\times20\)
\(GPE_{ball}=784\ J\)

Step2: Calculate GPE for the rock

For the rock: \(m = 7\ kg\), \(h = 11\ m\)
\(GPE_{rock}=7\times9.8\times11\)
\(GPE_{rock}=7\times107.8\)
\(GPE_{rock}=754.6\ J\)

Answer:

The \(4\ kg\) ball at \(20\ m\) has more GPE.