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Basic Mechanics Revision Questions Question Paper

Basic Mechanics Revision Questions

Course:Bachelor Of Technology In Mechanical And Production Engineering

Institution: Moi University question papers

Exam Year:2011

Basic Mechanics Revision Questions
Topic: Impulse and Momentum

1. A mass m undergoes free fall. What is its linear momentum after it has fallen a distance h?

2. An Earth satellite of mass M circles the earth with speed v. By how much does its momentum change
a. As it goes halfway around the earth

b. As it goes all the way around? (ignore the earth's rotation)

3. While waiting in his car at a stoplight, an 80kg man and his car are suddenly accelerated to a speed of 5m/s as the result of a rear-end collision. Assuming the time taken to be 0.3s, find:

a. The impulse on the man and

b. The average force exerted on him by the back of the seat of his car

4. A 3.0kg block slides on a frictionless horizontal surface, first moving to the left at 50m/s. It collides with a spring as it moves left, compresses the spring, and is brought to rest momentarily. The body continues to be accelerated to the right by the force of the compressed spring. Finally, the body moves to the right at 40m/s. The block remains in contact with the spring for 0.020s. What were the magnitude and direction of the impulse of the spring on the block? What was the spring's average force on the block?

5. A camper lets fall a heavy mallet of mass M from a height y upon the top of a tent stake of mass m and drives it to into the ground a distance d. Find the resistance of the ground, assuming it to be constant and the mallet and stake to stay together on impact

b. Find the time the stake is in motion

c. Find the kinetic energy lost at impact

6. A golfer hits a golf ball of mass 51g and the ball leaves the club with a velocity of 80m/s. Assuming that the ball and club are in contact for 0.006s, find the ball's final momentum and the average force exerted by the club on the ball.

7. A 5.0g bullet moving at 100m/s strikes a log. Assume that the bullet undergoes uniform deceleration and stop in 6.0cm. Find
a. the time taken for the bullet to stop

b. The impulse on the log

c. The average force experienced by the log

8. An astronaut is doing maintainance work outside a space station. He is coasting along the station at a speed of 1.00m/s. He wishes to change his direction of motion by 90degrees and to increase his speed to 2.00m/s. His total mass is 100kg, including his spacesuit and rocket belt, which provides a thrust of 50N.

a. Find the magnitude and direction of the impulse needed to accomplish the desired change in motion

b. What is the shortest time in which the astronaut can complete the change in motion? How must the rocket be pointed?

c. Suppose the astronaut makes the change by decelarating to rest, turning the rocket exhaust by 90degrees, and then accelerating up to the desired final speed. How long would this take? How much rocket fuel is used, compared to the minimum?

Basic Mechanics Revision Questions Question Paper

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