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Basic Mechanics Question Paper
Basic Mechanics
Course:Bachelor Of Technology In Chemical And Processing Enginering
Institution: Moi University question papers
Exam Year:2011
TEC 114: Basic Mechanics
Collisions in Two Dimensions
1. A 1200-kg car is moving east at 30.0m/s and collides with a 3600-kg truck moving at 20.0m/s in a direction 60 degrees north of east. The vehicles interlock and move off together. Find their common velocity.
2. A 1.0-kg object, A, with a velocity of 4.0m/s to the right, strikes a second object, B, of 3.0kg, originally at rest. In the collision, A, is deflected from its original direction through an angle of 50 degrees. Its speed after the collision is 2.0m/s. Find the angle between B's velocity after the collision and the original direction of A, and find the speed of B after the collision.
3. An object at rest explodes into three pieces of equal mass. One moves east at 20m/s; a second moves southeast at 30m/s. What is the velocity of the third piece?
4. Three bodies form an isolated system. Their masses are m1, m2 is twice m1 and m3 is thrice m1. They have different directions in motion, but they all have the same initial speed v. One or more elastic collisions occur between pairs of the bodies which otherwise do not interact. Use energy considerations to find the maximum possible final speed of each of the three bodies.
5. Two roads at right angles to each other are carrying a 20-ton (metric) truck moving at 10m/s and a 1-ton car moving at 20m/s toward a collision at the intersection. After the collision they stick together. Taking x and y coordinates along the original directions of motion of the truck and car, respectively, express the final velocity in terms of the unit vector i and j
6. A particle of mass m travelling with a speed v along the x axis suddenly shoots out one-third of its mass with speed 2v parallel to the y axis. Express the velocity of the remainder of the particle in i, j and k notation.
7. A particle of mass M moves along the x axis with speed v and collides and sticks to a particle of mass m moving with speed v along the y axis. Assuming i and j to be in the directions of motion, express the velocity of the combined particle after the collision in i, j, and k notation
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