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An object is lifted vertically 4 m against gravity. If the mass of the object is
An object is lifted vertically 4 m against gravity. If the mass of the object is 3 kg, what is the work done against gravity? (g = 9.8 m/s²)
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Q1
An object is lifted vertically 4 m against gravity. If the mass of the object is 3 kg, what is the work done against gravity? (g = 9.8 m/s²)
117.6 J
29.4 J
39.2 J
78.4 J
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Work done (W) = mgh = 3 kg × 9.8 m/s² × 4 m = 117.6 J.
Questions & Step-by-step Solutions
1 item
Q
Q: An object is lifted vertically 4 m against gravity. If the mass of the object is 3 kg, what is the work done against gravity? (g = 9.8 m/s²)
Solution:
Work done (W) = mgh = 3 kg × 9.8 m/s² × 4 m = 117.6 J.
Steps: 7
Show Steps
Step 1: Identify the mass of the object. In this case, the mass (m) is 3 kg.
Step 2: Identify the height the object is lifted. Here, the height (h) is 4 m.
Step 3: Identify the acceleration due to gravity. It is given as g = 9.8 m/s².
Step 4: Use the formula for work done against gravity, which is W = mgh.
Step 5: Substitute the values into the formula: W = 3 kg × 9.8 m/s² × 4 m.
Step 6: Calculate the result: 3 × 9.8 = 29.4, then 29.4 × 4 = 117.6.
Step 7: The work done against gravity is 117.6 Joules (J).
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