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# GATE (CE) : Engineering Mechanics & Design of Steel Structures #3 (App update required to attempt this test)

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Question 1

An object of mass 5.0 kg falls from rest through a vertical distance of 20 m and acquires a velocity of 10 m/s. What is the work done by the air resistance on the object? Take g= 10 m/s2

Question 2

Find out the correct statement.

1) Impulse = Final momentum - initial momentum

2) Momentum = mass × velocity

3) momentum = mass × acceleration

4) unit of impulse is N-sec

5) unit of impulse is Question 3

A ball of marble whose weight is 10N falls from a height of 5m and rebounds to height of 2m. Find the impulse (g = 9.81 m/sec²)

Question 4

A man of weight 100 N moving horizontal with a velocity of 5 m/sec jumps off from a bridge to a boat. Weight of boat is 1000 N. if boat has no initial velocity then horizontal velocity of boat (g = 10 m/sec2)

Question 5

A block of weight 230 N moving on a inclined plane in downward direction. What will be velocity after 7 sec?

(μ = 0.25) [Take initial velocity 10 cm/sec] Question 6

A hammer of mass 0.5 kg drives a nail of mass 20 gm with velocity of 5 m/s, horizontally into a fixed wooden block. If the nail penetrates by 8 mm per blow, calculate the resistance of the block in newton, assuming it to be uniform.
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