Answer :
To lift a 101 kg object to a height of 992 km, the work required is calculated using the formula for gravitational potential energy. Assuming a constant acceleration due to gravity, the work done is approximately 993.67 MJ.
To calculate the work necessary to bring a 101 kg object to a height of 992 km above the surface of the Earth, we need to use the concept of gravitational potential energy (GPE). The formula for GPE is:
GPE = m * g * h
Where:
To simplify the calculation, we will assume g remains constant at 9.8 m/s2, although this is an approximation because g actually decreases with altitude. The work done to move the object is equivalent to the gravitational potential energy gained by the object. We must convert 992 km to meters by multiplying by 1,000 (since 1 km = 1,000 m).
GPE = 101 kg * 9.8 m/s2 * 992,000 m
GPE = 993,670,800 J (Joules)
Since 1 MegaJoule (MJ) is 1,000,000 J, we convert this to MJ:
GPE = 993.67 MJ
Thus, the work required to lift a 101 kg object to a height of 992 km is approximately 993.67 MJ.
