answer all questions and parts. Show all work with formulas and round to the 6th decimal, in order to get a good rating

If a professor has a mass of 60kg, how much force are they exerting on

____	a 65kg student in the back row 4m away?
____	a 55kg student in the front row 1.5m away?

1.	9.78*10-8
2.	1.63*10-8
3.	14373.33
4.	2388.75

Children with masses of 10kg and 35kg are separated by 4.6m. A 50kg child is placed midway between them.

____	Find the gravitational force between the 35kg and 50kg children
___	Find the gravitational force between the 10kg and 50kg children
____	Find the net gravitational force exerted by the other children on the 50kg child

1.	8.34*10-9
2.	2.92*10-8
3.	2.08*10-8
4.	926.276
5.	3241.966
6.	2315.69

A compact disc rotates from rest to an angular speed of 31.4rad/s in a time of 0.892s. What is the angular acceleration of the disc, assuming the angular acceleration is uniform? Through what angle does the disc turn while continuing to speed up? If the radius of the disc is 4.45cm, find the tangential speed of a microbe riding on the rim of the disc when t = 0.892. What is the magnitude of the tangential acceleration of the microbe at this time?

____	What is the angular acceleration of the disc, assuming the angular acceleration is uniform?
____	What is the magnitude of the tangential acceleration of the microbe at this time?
____	Through what angle does the disc turn while continuing to speed up?
____	If the radius of the disc is 4.45cm, find the tangential speed of a microbe riding on the rim of the disc when t = 0.892.

1.	35.2
2.	14
3.	1.3973
4.	1.5664

A race car accelerates uniformly from a speed o 4m/s to a speed of 60m/s in 5s while traveling counterclockwise around a circular track of radius 400m. When the car reaches a speed of 50m/s, calculate the magnitude of the cars centripetal acceleration, the angular speed, the magnitude of the tangential acceleration, and the magnitude of the total acceleration.

____	the magnitude of the tangential acceleration
___	centripetal acceleration
____	the total acceleration
____	the angular speed

1.	6.25
2.	0.125
3.	10.8
4.	12.48