GATE CE 2020 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?

• A2.9 m/s²
• B3.75 m/s²
• C7.25 m/s²
• D1.94 m/s²

Question 2

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

• A217.25 rad/sec
• B146.53 rad/sec
• C173.45 rad/sec
• D189.55 rad/sec

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 :

• A
• B
• C2m/s²
• D

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 :

• A30 kN
• B20 kN
• C15 kN
• D10 kN

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

• A11.9sec
• B8.838 sec
• C10.25sec
• D12.44sec

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:

• A6 m/s and 3 m/s
• B6.2 m/s and 4.8 m/s
• C5.8 m/s and 4.5 m/s
• D5 m/s and 3.5 m/s

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