1 2 mg 2 5 mg 3 mg 4 05 mg 5 zero 3 a particle starts

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(1) 2 Mg (2) 5 Mg (3) Mg (4) 0.5 Mg (5) zero 3. A particle starts from rest at time t = 0 and moves along the x axis. If the net force on it is proportional to t 2 , its kinetic energy is proportional to: (1) t 6 (2) t (3) t 2 (4) 1 /t 2 (5) t 4 4. A mouse of mass M lies on the rim of a uniform disk of mass 4 M that can rotate freely about its center like a merry- go-round. Initially the mouse and disk rotate together with an angular velocity of ω . If the mouse walks to a new position that is at the center of the disk, what is the new angular velocity of the mouse-disk system? (1) 3 ω/ 2 (2) ω (3) ω/ 2 (4) 2 ω (5) 4 ω/ 3 5. A 100-N uniform plank leans against a frictionless wall as shown. The magnitude of the torque (about the point P) applied to the plank by the wall is: (1) 100 N · m (2) 150 N · m (3) 500 N · m (4) 66.7 N · m (5) 75 N · m 6. An object hangs from a spring balance. The balance indicates 30 N in air and 15 N when the object is entirely submerged in water and 10 N when entirely submerged in an unknown liquid with density ρ . What is the ratio of the density of the unknown liquid to the density of water ( i.e. , ρ/ρ water )? (1) 4/3 (2) 1/2 (3) 3/2 (4) 2/3 (5) 2 7. A motorist drives along a straight road at a constant speed of 60 m/s. Just as she passes a parked motorcycle police officer, the officer starts to chase her at a constant acceleration. If the officer maintains this constant value of acceleration, what is the speed of the police officer when he reaches the motorist? (1) 120 m/s (2) 60 m/s (3) 180 m/s (4) 100 m/s (5) need to know the officers acceleration 8. Three blocks (A,B,C), each having mass M , are connected by strings on a horizontal frictionless surface as shown in the figure. Block C is pulled to the right by a horizontal force of magnitude F that causes the entire system to accelerate. What is the magnitude of the net horizontal force acting on block B due to the strings? (1) F/ 3 (2) F/ 2 (3) 2 F/ 3 (4) zero (5) F
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77777 77777 9. A 5.0 g bullet moving at 600 m/s strikes a 400 g wooden block at rest on a frictionless surface. The bullet becomes embedded in the block and the block-bullet system then travels together at speed V. How much thermal energy was generated in the heating up of the block and the bullet during this collision?
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