How much work is needed to lift an object with a mass of 51.0 kg to a height of 2.00 meters? Calculate your answer in Joules
Answer
102
To calculate the work needed to lift an object, we can use the formula:
Work = force × distance
In this case, the force required to lift the object is equal to the weight of the object. The weight of an object can be calculated using the formula:
Weight = mass × gravitational acceleration
where the gravitational acceleration is approximately 9.8 m/s² on Earth.
Let's calculate the weight of the object first:
Weight = 51.0 kg × 9.8 m/s² = 499.8 N (rounded to three significant figures)
Now we can calculate the work:
Work = force × distance = weight × distance
Work = 499.8 N × 2.00 m = 999.6 Joules (rounded to three significant figures)
Therefore, the work required to lift an object with a mass of 51.0 kg to a height of 2.00 meters is approximately 999.6 Joules.