A crate of mass 48 kg is pushed up a frictionless ramp by a person as shown in the figure below. Calculate the work done by the person in pushing the crate a distance of 11 m as measured along the ramp. Assume the crate moves at constant velocity. _____J
To calculate the work done by the person in pushing the crate along the ramp, we can use the formula:
Work = Force * Distance * cos(angle)
In this case, the force applied by the person is equal to the weight of the crate. The weight of an object is given by the formula:
Weight = mass * acceleration due to gravity
where the acceleration due to gravity is approximately 9.8 m/s^2.
So, the weight of the crate is:
Weight = 48 kg * 9.8 m/s^2
Next, we need to find the angle between the direction of the force applied by the person and the direction of motion. From the figure you mentioned, we need to determine this angle.
Finally, substitute these values into the work formula to find the work done by the person.