The work W (in joules)done when lifting an object varies jointly with the mass m (in kilograms)of the object and the height h (in meters)that the object is lifted.The work done when a 120-kilogram object is lifted 1.8 meters is 2116.8 joules.How much work is done when lifting a 200-kilogram object 1.5 meters?
A)2960 J
B)2920 J
C)2940 J
D)2950 J
E)2930 J

Question

The work W (in joules)done when lifting an object varies jointly with the mass m (in kilograms)of the object and the height h (in meters)that the object is lifted.The work done when a 120-kilogram object is lifted 1.8 meters is 2116.8 joules.How much work is done when lifting a 200-kilogram object 1.5 meters? ​
A)2960 J
B)2920 J
C)2940 J
D)2950 J
E)2930 J

Quizplus · Accepted Answer

The work done W is given by the formula W = k * m * h, where k is a constant. First, find k using the given values: 2116.8 = k * 120 * 1.8, which gives k = 9.8. Then, use this k to find the work done for the new values: W = 9.8 * 200 * 1.5 = 2940 J.

The Work W (In Joules)done When Lifting an Object Varies