1. A 2.00-kg mass hangs on a rope wrapped around a frictionless disk pulley of mass 8.00 kg and radius 50.0 cm. What is the acceleration of the mass?

Group of answer choices

9.26 m/s²

3.27 m/s²

2.96 m/s²

zero

2. A solid sphere of mass 2.0 kg and radius 0.010 m rolls with a speed of 16 m/s. How high up an inclined plane can it climb before coming to rest?

Group of answer choices

7.1 m

71 m

18.29 m

0.71 m

3. A uniform board of weight 40 N supports two children weighing 500 N and 350 N, respectively. If the support is at the center of the board and the 500-N child is 1.5 m from the center, what is the position of the 277.8-N child?

Group of answer choices

2.1 m

1.1 m

2.7 m

1.5 m

4. A car is negotiating a flat circular curve of radius 70 m with a speed of 29 m/s. The maximum centripetal force (provided by static friction) is 1.2 10⁴ N. What is the mass of the car?

Group of answer choices

1.5 10³ kg

0.50 10³ kg

1.0 10³ kg

2.0 10³ kg

5. A wheel with moment of inertia 4.00 kgm² has a net torque of 4.50 Nm applied to it. What angular acceleration does it experience?

Group of answer choices

4.50 rad/s²

1.13 rad/s²

0.889 rad/s²

4.00 rad/s²