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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 0.046kg - Edexcel - GCSE Physics - Question 2 - 2019 - Paper 1
Question 2
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... show full transcript
Worked Solution & Example Answer: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 0.046kg - Edexcel - GCSE Physics - Question 2 - 2019 - Paper 1
Step 1
Step 2
(i) Calculate the change in gravitational potential energy when the ball is lifted through a vertical height of 2.05m.
Answer
To find the change in gravitational potential energy (ΔGPE), we use the formula:
Where:
- m = mass of the ball = 0.046 kg
- g = acceleration due to gravity ≈ 9.81 m/s²
- Δh = height lifted = 2.05 m
Now substituting the values:
Thus, the change in gravitational potential energy is approximately 0.929 J.
Step 3
(ii) Calculate the kinetic energy of the ball when the speed of the ball is 3.5 m/s.
Answer
To calculate the kinetic energy (KE) of the ball, we use the formula:
KE = rac{1}{2} m v^2Where:
- m = mass of the ball = 0.046 kg
- v = speed of the ball = 3.5 m/s
Now substituting the values:
KE = rac{1}{2} imes 0.046 imes (3.5)^2 \ KE = 0.023 imes 12.25 \ KE ≈ 0.28175 ext{ J}Thus, the kinetic energy of the ball is approximately 0.28175 J.