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GATE 2019 Engineering Mechanics Quiz 4

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Question 1

A car starts from rest and accelerates at a speed of 35 m/s in time 18 seconds. Find the average acceleration of the car?

Question 2

The propeller of an aircraft fitted with electric motor operates at 1400 rpm. What will be its angular speed in radians/second?

Question 3

Two steel balls of 2 kg and 4 kg mass, respectively are pressed on the two ends of a spring, all pre-placed on a smooth surface. When released, the smaller ball moves with an acceleration of 2 m/s2. The simultaneous acceleration of the bigger ball will be :

Question 4

A bullet of mass 0.03 kg moving with a speed of 400 m/s penetrates 12 cm into a fixed block of wood. The average force exerted by the wood on the bullet will be :

Question 5

A base ball is resting at a point A on the field is thrown by a player with initial speed of 40 m/s making an angle of 45 º with horizontal. Find the time taken by base ball to reach the point B which is at height of 15m on other side of field and 250m away from point A

Question 6

Two motor-cyclist driving at uniform speeds s1 and s2 respectively in straight line path in opposite directions and come closer 11 m after every second. While running in similar direction, their speeds reduces by 50% and get 0.7m closer in every second. The speeds s1 and s2 of the motor cyclist will be:
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