A 4 kg object is lifted to a height of 3 m. What is the increase in gravitationa
Practice Questions
Q1
A 4 kg object is lifted to a height of 3 m. What is the increase in gravitational potential energy? (g = 9.8 m/s²)
117.6 J
117 J
120 J
150 J
Questions & Step-by-Step Solutions
A 4 kg object is lifted to a height of 3 m. What is the increase in gravitational potential energy? (g = 9.8 m/s²)
Step 1: Identify the mass of the object. In this case, the mass (m) is 4 kg.
Step 2: Identify the height to which the object is lifted. Here, the height (h) is 3 m.
Step 3: Identify the acceleration due to gravity. It is given as g = 9.8 m/s².
Step 4: Use the formula for gravitational potential energy increase, which is Potential Energy (PE) = mgh.
Step 5: Substitute the values into the formula: PE = 4 kg × 9.8 m/s² × 3 m.
Step 6: Calculate the result: 4 × 9.8 = 39.2, then 39.2 × 3 = 117.6.
Step 7: The increase in gravitational potential energy is 117.6 Joules (J).
Gravitational Potential Energy – The energy an object possesses due to its position in a gravitational field, calculated using the formula PE = mgh, where m is mass, g is acceleration due to gravity, and h is height.