Statics and Dynamics Test

Result

Statics and Dynamics Test - 5

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Weekly Quiz Competition

Question 1
4 / -1

Two balls are projected from the same point in directions inclined at 45° and 60° to the horizontal, respectively. If they attain the same height, then the ratio of their velocities of projection is

A

B
3 :1

C
3 : 2

D
Question 2
4 / -1

A
15°

B
30°

C
45°

D
60°
Question 3
4 / -1

The product of two times of flight from a point P to another point Q with a given velocity of projection is

A

B

C

D
Question 4
4 / -1

A stone of mass m is thrown vertically upwards with a velocity of 9.8 ms^-1 . The height of the point, where KE = PE is (g = 9.8 ms^-2 )

A
9.8 m

B
4.9 m

C
2.45 m

D
2 m
Question 5
4 / -1

A particle is projected from a point on the horizontal plane so as to just clear two walls each of height 20 m at distances 30 m and 170 m respectively from the point of projection. If α is the angle of projection, then

A
40 tan α = 51

B
40 cot α = 51

C
30 tan α = 23

D
30 cot α = 23
Question 6
4 / -1

Two parabolic paths of angles α and β of projection aimed at a target on the horizontal plane through O, fall p units short and the other p units far from the target. If θ is the correct angle of projection so as to hit the target, then sin 2θ is equal to

A
1/ 2 (tan α + tan β )

B
1/ 2 (tan α - tan β )

C
1/ 2 (sin 2α + sin 2β )

D
1/ 2 (sin 2α - sin 2β )
Question 7
4 / -1

A sphere S₁ impacting directly on an equal sphere S₂ at rest. If the coefficient of restitution is e, then the velocities of S₁ and S₂ are in the ratio

A

B

C

D
Question 8
4 / -1

Given that the force acting on a material point is inversely proportional to the velocity of the moving point. Then, the kinetic energy of the point is a........ function of time.

A
exponential

B
linear

C
second degree

D
non-linear
Question 9
4 / -1

A particle of mass m is projected from a fixed point O into the air with velocity u in a direction making an angle α with the horizontal. Then, the motion of the particle describes a parabola with the latusrectum

A
2 / g (horizontal velocity) ²

B
2 / g (vertical velocity)

C

D
Question 10
4 / -1

If a particle is projected with a velocity 49 m/s making an angle 60° with the horizontal, its time of flight is

A

B

C

D
None of the above