Reference no: EM132748650

1) Tony pulls a luggage cart at an angle of 30° to the horizontal. The luggage cart has a mass of 35 kg, and he pulls with a force of 75 N.

a. What is the normal force on the luggage cart?

b. What force would Tony need to apply at a 30° angle to pull the luggage cart completely off the ground?

c. How does your answer in part (b) change as the angle increases?

2) Angela has a bucket of mass 2 kg tied to a string. She places a drinking glass of mass 0.5 kg in the bucket. She spins the bucket in a vertical circle of radius 1.5 m. You want to find out how fast she must swing the bucket to keep the glass from falling out.

a. Draw the free-body diagram for the glass when it is at the top of the circle.

b. What is the equation for the net force on the glass at the top of the circle in terms of w, FN, m, v, and r?

c. The glass will fall out of the bucket if the normal force between the glass and bucket equals zero. How fast must she spin the bucket to prevent this from happening?

d. The string will break if the tension on it is more than 100 N. Over what range of speeds can she keep the glass in the bucket and prevent the string from breaking?