Lever is 15 feet long rock is 150 lbs folcrum is 12 feet from the rick how much force is exerted
To determine the force exerted on the lever, we can use the concept of moments in physics. The moment of a force is calculated by multiplying the magnitude of the force by the distance from the point of rotation, which in this case is the fulcrum.
The formula for calculating the moment is:
Moment = Force × Distance
Given information:
Length of the lever (L) = 15 feet
Weight of the rock (W) = 150 lbs
Distance from the fulcrum to the rock (d) = 12 feet
Since we are interested in finding the force exerted (F), we can rearrange the formula as follows:
Force = Moment / Distance
To calculate the moment (M), we multiply the weight of the rock by its distance from the fulcrum:
M = W × d
Now we can substitute the values and calculate the moment:
M = 150 lbs × 12 feet
Once we have the moment, we can divide it by the length of the lever to find the force exerted:
F = M / L
Let's calculate the force exerted step by step:
1. Calculate the moment:
M = 150 lbs × 12 feet
2. Divide the moment by the length of the lever to find the force:
F = M / 15 feet
Now you can substitute the values into the above equations, compute the necessary operations, and find the force exerted on the lever.