Physics 201 MWF10:20 Fall 1994 (Ford)
Exam II Chapts. 6-8 in SZY College Physics

Show all your work. Partial credit will be given if earned. Write your answers in the blanks provided.


(20 pts) 1. A small block of mass 0.30 kg is attached to a vertical rod by two strings. One string makes an angle of 37° with the rod and the other string is horizontal. The system rotates and makes 2.0 rev each second. The block moves in a horizontal circle of radius 0.15 m.

a) What is the period of rotation of the block, the time to make one revolution?

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b) What is the speed v of the block?

Ans. _________________

c) What is the magnitude of the acceleration of the block?

Ans. ________________

d) What is the tension in the string that makes an angle of 37° with the rod?

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e) What is the tension in the horizontal string?

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(22 pts) 2. A small block with mass m = 0.20 kg is placed against a spring that is compressed 0.05 m. The spring is released, and the block travels a distance of 1.8 m along a 37° incline before starting to slide back down. Friction can be neglected.

a) How much potential energy was originally stored in the spring?

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b) What is the kinetic energy of the block after it has traveled a distance of 0.80 m along the incline from its initial position?

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(20 pts) 3. A 5.0 kg block slides along a horizontal tabletop, slides off the edge, and falls to the floor. When the block is 2.0 m from the edge (point A) its kinetic energy is 45 J. The coefficient of kinetic friction between the block and the tabletop is µk = 0.40 and the tabletop is a vertical distance of 0.80 m above the floor.

a) How much work is done by the friction force when the block travels 2.0 m from point A to the edge of the tabletop (point B)?

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b) What is the kinetic energy of the block when it reaches point B?

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c) What is the kinetic energy of the block just before it strikes the floor (point C)?

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(18 pts) 4. A 20 kg block sliding to the right on a horizontal frictionless surface collides with a 40 kg block that is initially at rest. After the collision the 20 kg block is traveling perpendicular to its initial velocity and the 40 kg block is traveling at 8 m/s in the direction shown.

a) What is the speed vA2 of the 20 kg block after the collision?

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b) What is the speed vA1 of the 20 kg block before the collision?

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(20 pts) 5. A bullet with mass mA = 0.040 kg is fired horizontally with speed vA1 at a block with mass mB = 1.96 kg that is initially at rest on a horizontal surface. The bullet strikes the block, remains embedded inside it, and as a result of the collision the block slides a distance of 3.5 m along the horizontal surface. The coefficient of kinetic friction between the block and the surface is µk = 0.20.

a) What is the magnitude of the velocity of the block (with the bullet inside) just after the collision is over?

Ans. ________________

b) What is the speed of the bullet just before the collision?

Ans. _______________