Motion Test

Result

Motion Test - 76

Score
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Question 1
1 / -0

A body of mass 5 kg having a velocity of 80 $$ms^{-1}$$ experiences a force in the opposite direction. The body is brought to rest in 8 sec. What is the retardation produced by the force?

A
$$10ms^{-2}$$

B
$$15ms^{-2}$$

C
$$20ms^{-2}$$

D
$$25ms^{-2}$$

Solution

Apply first equation of motion-
$$v = u + at$$
$$v = 0$$; final velocity that is zero
$$u = 80\ ms^{-1}$$; initial velocity
$$a$$; acceleration or retardation
$$t$$; time taken

$$\Rightarrow 0 = 80 + 8a$$

$$\Rightarrow a = \dfrac{-80}{8}$$

$$\Rightarrow a = -10\ ms^{-2}$$
Question 2
1 / -0

A body starting with initial velocity $$u$$ comes back to the starting point in $$t$$ seconds. Then the acceleration is

A
-2 u/t

B
2 /t

C
t/2u

D
u/t

Solution
Question 3
1 / -0

A particle is released from rest from a tower of height $$3h$$ The ratio of time taken to fall equal heights $$h , t _ { 1 } : t _ { 2 } : t _ { 3 }$$ is

A
$$\sqrt { 3 } : \sqrt { 2 } : 1$$

B
$$3 : 2 : 1$$

C
$$9 : 4 : 1$$

D
$$1 : ( \sqrt { 2 } - 1 ) : ( \sqrt { 3 } - \sqrt { 2 } )$$

Solution
Question 4
1 / -0

A car accelerates uniformly from $$18 km/h$$ to $$36 km/h$$ in $$5s$$. The distance covered by the car will be

A
$$1 m$$

B
$$18 m$$

C
$$37.5 m$$

D
none of theses

Solution
Question 5
1 / -0

A conveyor belt is moving horizontally at a speed of $$4 \ m/sec$$ with a box of mass $$20 \ kg$$ on it. The box suddenly drops off the conveyer belt to the ground and it takes $$0.1 \ second$$ for the box to come to rest. Considering the height of the conveyer belt to be negligible, the distance moved by the box in the conveyor belt is:

A
$$0$$

B
$$0.2$$

C
$$0.4$$

D
$$0.8$$

Solution
Question 6
1 / -0

In a damped oscillator, the mass of the oscillator is m = 200g, force constant is K = 90N/m and the damping constant b is 40 g/s. Find the time taken for its mecharical energy to drop to half its initial value

A
0.3s

B
0.208 s

C
6.93s

D
3.46s

Solution
Question 7
1 / -0

A ship moves at 40 km/h due north and suddenly moves towards east through $$9\mathring { 0 } $$ and continuous to move with the same speed. Then the change in its velocity is

A
$$zero$$

B
$$40\sqrt { 2 } $$ km/h north-east

C
$$40\sqrt { 2 } $$ km/h south-east

D
$$None$$

Solution
Question 8
1 / -0

A particle moves with constant acceleration for 6 seconds after starting from rest. The distance travelled during the first three consecutive 1 seconds interval is in the ratio?

A
1 : 1 : 1

B
1 : 2 : 3

C
1 :3 : 5

D
1 : 5 : 9

Solution
Question 9
1 / -0

A body moving with constant acceleration covers 24 m in the $$4^{th}$$ second and 36 m in the $$6^{th}$$ second. The initial velocity of the body is

A
$$12 ms^{-1}$$

B
$$3 ms^{-1}$$

C
$$4 ms^{-1}$$

D
$$5 ms^{-1}$$

Solution
Question 10
1 / -0

A block of weight $$4 kg$$ is resting on a smooth horizontal plane. If it is struck by a jet of water at the rate of $$2 kg/s$$ and at the speed of $$10 m/s$$, then the initial acceleration of the block is

A
$$15$$ $$m/s^2$$

B
$$10$$ $$m/s^2$$

C
$$2.5$$ $$m/s^2$$

D
$$5$$ $$m/s^2$$

Solution