5. What is the tension T in the rope if the 10-N weight is moving upward with constant velocity?

 

6. As shown, two blocks with masses m and M (M > m) are pushed by a force F in both Case I and Case II. The surface is horizontal and frictionless. Let R_I be the force that m exerts on M in case I and R_II be the force that m exerts on M in case II.

 

 

Which of the following statements is true?

7. Two blocks, with masses 17 kg and 15 kg, are connected by a light string that passes over a frictionless pulley of negligible mass as shown. The surfaces of the planes are frictionless. The blocks are released from rest. T₁ and T₂ are the tensions in the strings.

 

Which of the following statements is correct?

8. A small block of mass m starts from rest at the top of a globe of radius R.

 

At what angle θ does it slide off the surface of the globe? Assume the system is frictionless.

9. An object with mass m and initial velocity v is brought to rest by a constant force F acting for a time t and through a distance d. Possible expressions for the magnitude of the force F are:

 

 

Which of these give(s) the correct expression for the magnitude of the force F?

10. A small sphere is moving at a constant speed in a vertical circle. Below is a list of quantities that could be used to describe some aspect of the motion of the sphere.

 

 

Which of these quantities will change as this sphere moves around the circle?

12. Three air track cars are initially placed as shown in the accompanying figure.

 

 

Car A collides elastically with car B, which in turn collides elastically with car C. After the collision, car B is at rest.

 

The final velocities of cars A and C are:

13. A child with mass m is standing at the edge of a playground merry-go-round with moment of inertia I, radius R, and initial angular velocity ω . The child jumps off the edge of the merry-go-round with tangential velocity v with respect to the ground.

 

The new angular velocity of the merry-go-round is:

14. As shown, a spool has outer radius R and axle radius r. A string is wrapped around the axle of the  spool and can be pulled in any of the directions labeled by I, II, or III.

 

The spool will slide to the right without rolling on the horizontal surface if it is pulled in direction(s):

15. A uniform flag pole of length L and mass M is pivoted on the ground with a frictionless hinge. The flag pole makes an angle θ with the horizontal. The moment of inertia of the flag pole about one end is 1/3 ML².

 

If it starts falling from the position shown in the accompanying diagram, the linear acceleration of the free end of the flag pole – labeled P – would be: