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 object is lifted. the work done when 100-kilogram object is lifted 1.5 meter 1470 joules. write an equations that relate to W,M and h. how much work is done when lifting a 150-kilogram object 2 meter
Answer (1)
Answer:The problem states that the work done when lifting an object varies jointly with the mass and the height , so we can write the equation in the form:W = k \cdot m \cdot hwhere is the constant of proportionality.We are given that when the mass is 100 kg and the height is 1.5 meters, the work done is 1470 joules. Using this information, we can solve for :1470 = k \cdot 100 \cdot 1.5Solving for :k = \frac{1470}{100 \cdot 1.5} = \frac{1470}{150} = 9.8So, the equation relating , , and is:W = 9.8 \cdot m \cdot hNow, to find the work done when lifting a 150-kilogram object to a height of 2 meters, we use the same equation:W = 9.8 \cdot 150 \cdot 2W = 9.8 \cdot 300 = 2940 \, \text{joules}So, the work done is 2940 joules.
