At a given instant ship A is travelling at 6 km/h due east and ship B is travell

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Question
At a given instant ship A is travelling at 6 km/h due east and ship B is travelling at 8 km/h due north. The velocity of B relative to A is
Options
A. 7 km/hrs
B. 2 km/hrs
C. 1 km/hrs
D. 10 km/hrs
E. 14 km/hrs.

Correct Answer

10 km/hrs

Applied Mechanics problems

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1. Which one of the following statements is true?
Options
A. The tangent of the angle of friction is equal to coefficeint of friction
B. The angle of repose is equal to angle of friction
C. The tangent of the angle of repose is equal to coefficient of friction
D. All the above.

2. The forces which meet at one point and have their lines of action in different planes are called
Options
A. coplaner non-concurrent forces
B. non-coplaner concurrent forces
C. non-coplaner non-current forces
D. intersecting forces
E. none of these.

3. A bullet weighing 200 g is fired horizontally with a velocity of 25 m/sec from a gun carried on a carriage which together with the gun weighs 100 kg. The velocity of recoil of the gun, will be
Options
A. 0.01 m/sec
B. 0.05 m/sec
C. 1.00 m/sec
D. 1.5 m/see.

4. If a body moves in such a way that its velocity increases by equal amount in equal intervals of time, it is said to be moving with
Options
A. a uniform retardation
B. a uniform acceleration
C. a variable acceleration
D. a variable retardation
E. none of these.

5. A square hole is punched out of a circular lamina, the diagonal of the square being the radius of the circle. If r is the radius of the circle, the C.G. of the remainder from the corner of the square on the circumference will be
Options
A.
B.
C.
D.

8. If a particle is projected inside a horizontal tunnel which is 554 cm high with a velocity of 60 m per sec, the angle of projection for maximum range, is
Options
A. 8�
B. 9�
C. 10�
D. 11�
E. 12�.

9. A particle moves along a straight line such that distance x traversed in t seconds is given by x = t²(t + 1), the acceleration of the particle, will be
Options
A. 3t³ - 2t
B. 3t² + 2t
C. 6t - 2
D. 6t + 2
E. 3t - 2

10. u₁ and u₂ are the velocities of approach of two moving bodies in the same direction and their corresponding velocities of separation are v₁ and v₂. As per Newton's law of collision of elastic bodies, the coefficient of restitution (e) is given by
Options
A.
B.
C.
D.

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