A 300kg crate must be loaded from ground level onto a truck bed that is 1.75 meters above ground level. The movers have two choices. They can simply lift the crate onto the truck bed or they can use a 3.5m ramp that goes from the truck bed to the ground.

They call you for help (with understanding the options - not lifting the crate!). You agree to help and must now:

For each case determine the work done in moving the crate. Also for each case determine the Force required by the workers.

What option do you recommend?

How does the length of the ramp affect the situation?

Review multiple-concept example 7 in this chapter as an aid in solving this problem. in a fast-pitch softball game the pitcher is impressive to watch, as she delivers a pitch by rapidly whirling her arm around so that the ball in her hand moves in a circle. in one instance, the radius of the circle is 0.626 m. at one point on this circle, the ball has an angular acceleration of 66.1 rad/s2 and an angular speed of 12.6 rad/s. (a) find the magnitude of the total acceleration (centripetal plus tangential) of the ball. (b) determine the angle of the total acceleration relative to the radial direction.