A 100-n boulder is sitting on a shelf 0.5 meters above the floor.
If the boulder is moved vertically to another shelf 3.0 meters above the floor, how much work has been done on the boulder?
work=mg*changeinHeight.
Are you thinking these out, or am I doing if for you?
I have the formulas - I just want to make sure I am answering them correctly.
To find the amount of work done on the boulder, we can use the formula:
Work = Force * Distance
In this case, the force acting on the boulder is equal to its weight, which can be calculated using the formula:
Force = mass * gravity
Given that the mass of the boulder is 100 kg (remember to convert the 100-n weight to kg), and the acceleration due to gravity is approximately 9.8 m/s^2, we can calculate the force as:
Force = 100 kg * 9.8 m/s^2 = 980 N
Now, we need to calculate the distance over which the boulder is moved. Initially, it is on a shelf 0.5 meters above the floor, and then it is moved to a shelf 3.0 meters above the floor. Therefore, the vertical distance moved is:
Distance = Final height - Initial height
Distance = 3.0 m - 0.5 m = 2.5 m
Now, we can calculate the work done on the boulder:
Work = Force * Distance
Work = 980 N * 2.5 m
Calculating this gives us:
Work ≈ 2450 J
Therefore, approximately 2450 joules of work have been done on the boulder.