A cyclist has a mass of 64 kg - Edexcel - GCSE Physics - Question 4 - 2021 - Paper 1

To calculate the gain in gravitational potential energy (ΔGPE) of the cyclist, we will use the formula:

$$ΔGPE = m imes g imes Δh$$

where:

• $m$ = mass of the cyclist = 64 kg
• $g$ = acceleration due to gravity = 10 N/kg
• $Δh$ = height gained = 24 m.

Substituting the values into the equation:

$$ΔGPE = 64 ext{ kg} imes 10 ext{ N/kg} imes 24 ext{ m}$$

Calculating this gives:

$$ΔGPE = 64 imes 10 imes 24 = 15360 ext{ J}$$

Therefore, the gain in gravitational potential energy is 15,360 J.