Final answer:
The work done by the gravitational force when lifting a 20.0 kg object through a distance of 10.0 m is 1960 J.
Step-by-step explanation:
The work done by the gravitational force when a 20.0 kg object is lifted through a distance of 10.0 m can be calculated using the formula for Work, which is force times distance (Work = Force x Distance). Here, force is the weight of the object on Earth, which can be calculated using the formula: Weight = mass x gravity (W = m x g). For Earth, the gravitational acceleration (g) is approximately 9.8 m/s².
W = m x g = 20.0 kg x 9.8 m/s² = 196.0 N. This is the force required to lift the object.
Now, multiply the distance (10.0 m) by this force to find work: Work = Force x Distance = 196.0 N x 10.0 m = 1960.00 Joules (J).
Therefore, 1960 J of work is done lifting the 20.0 kg object through a distance of 10.0 m against gravity.
Learn more about Work