1. (a) Which of these is the equation for work done? A work done = force ÷ distance moved in direction of force B work done = force × distance moved in direction of force C work done = force × distance moved at right angles to direction of force D work done = force × distance moved at right angles to direction of force (b) A ball has a mass of 0.046 kg - Edexcel - GCSE Physics Combined Science - Question 1 - 2019 - Paper 1

To calculate the change in gravitational potential energy (ΔGPE), we use the formula:

$ΔGPE = m × g × h$

Where:

• m = 0.046 kg (mass of the ball)
• g = 9.81 m/s² (acceleration due to gravity)
• h = 2.05 m (height)

Substituting the values into the equation:

$ΔGPE = 0.046 imes 9.81 imes 2.05$

Evaluating this gives:

$ΔGPE = 0.046 imes 9.81 imes 2.05 \\ ≈ 0.0929 ext{ J}$

Thus, the change in gravitational potential energy is approximately 0.0929 J.

To calculate the kinetic energy (KE) of the ball, we use the formula:

$KE = \frac{1}{2} mv^2$

Where:

• m = 0.046 kg (mass of the ball)
• v = 3.5 m/s (speed of the ball)

Substituting the values into the equation:

$KE = \frac{1}{2} (0.046) (3.5)^2$

Evaluating this gives:

$KE = \frac{1}{2} (0.046) (12.25) \\ ≈ 0.282 \text{ J}$

Thus, the kinetic energy of the ball is approximately 0.282 J.