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Basic Mechanics Question Paper

Basic Mechanics

Course:Bachelor Of Electrical And Electronics Engineering

Institution: Moi University question papers

Exam Year:2011

Basic Mechanic

1. A ball is errorsed onto a fixed horizontal surface from height h1. The coefficient of restitution is e. Find the total distance D travelled by the ball before it comes to rest on the surface.

b. Find the duration of the process in (a) above

c. What is the average speed of the ball?

2. A 1-kg ball moving at 12m/s collides head-on with a 2-kg ball moving in the opposite direction at 24m/s. Find the velocity of each impact if
a. e=2/3
b. The balls stick together
c. The collision is perfectly elastic

3. A 5-g bullet going 300m/s strikes a 1.995-kg wooden block which is the bob of a ballistic pendulum. Find the speed at which the block and bullet leave the equilibrium position and the height which the centre of gravity of the bullet-block system reaches above the initial position of the centre of gravity.

4. A 4-g bullet is fired into a 2.996-kg block of wood which is the bob of a ballistic pendulum. If the bob leaves its equilibrium position with a speed of 0.5m/s, what are the speed of the bullet and the height above the equilibrium position reached by the centre of gravity of the block?

5. A 5-g bullet travelling 250m/s strikes and embeds itself in a 2.495-kg block held on a frictionless table by a spring with constant k=40N/m. Find the speed of block and bullet immediately after the collision and the distance travelled when the spring is compressed.

6. A 20-g bullet is fired horizontally with a speed of 600m/s into a 7-kg block sitting on a table top; the bullet (b) lodges in the block (B). If the coefficien of kinetic friction between the block and the tabletop is 0.4, what is the distance the block will slide?

7. A 4-g bullet is fired horizontally with a speed of 300m/s into a 0.8kg block of wood at rest on a table. If the coefficient of friction between the block and the table is 0.3, how far will the block slide? What fraction of the bullet's energy is dissipated in the collision itself?

8. A 0.3-kg block slides down a frictionless hemispherical bowl with a radius of 0.3m. At the bottom it collides perfectly inelastically with a 0.4-kg mass initially at rest. What impulse is given the 0.4kg mass? Find the maximum angle which the radius vector to the two blocks will make with the vertical after the collision

8. A 3-g bullet with a speed of 300m/s passes right through a 400-g block suspended on a long cord. The impulse gives the block a speed of 1.5m/s. Find
a. The speed of the bullet after it has passed through the block
b. The distance which the centre of mass rises as the block swings upward after the bullet passes through
c. The work done by the bullet in passing through the block
d. The mechanical energy converted into heat

9. A 2.0-kg block rests over a small hole on a table. A 15.0g bullet is shot through the table into the block, where it lodges. How east was the bullet going if the block rises 1.30m above the table?

Basic Mechanics Question Paper

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