How much work W is done in lifting a 30-kg sandbag to a height of 9 m? (Use 9.8 m/s2 for g. Round your answer to the nearest integer.)W =
Question
How much work W is done in lifting a 30-kg sandbag to a height of 9 m? (Use 9.8 m/s2 for g. Round your answer to the nearest integer.)W =
Solution
The work done on an object is given by the formula W = mgh, where:
- W is the work done on the object,
- m is the mass of the object,
- g is the acceleration due to gravity, and
- h is the height the object is lifted.
Given that the mass m of the sandbag is 30 kg, the acceleration due to gravity g is 9.8 m/s², and the height h is 9 m, we can substitute these values into the formula to find the work done:
W = mgh W = (30 kg)(9.8 m/s²)(9 m) W = 2646 joules
Rounding to the nearest integer, the work done in lifting the 30-kg sandbag to a height of 9 m is approximately 2646 joules.
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