Laws of Motion Test

Result

Laws of Motion Test - 26

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Weekly Quiz Competition

Question 1
1 / -0

Maximum safe speed does not depend upon

A
radius of curvature

B
angle of inclination with the horizontal

C
mass of the vehicle

D
acceleration due to gravity

Solution

Formula for maximum safe speed is
$$ v = \sqrt {\dfrac {rg (\mu + tan\theta)}{1 - \mu \tan\theta}} $$
r is radius of curvature
g is acceleration due to gravity
$$ \mu $$ is coefficient of friction
$$ \theta $$ is angle of banking
So, it is independent of mass. Option C is correct.
Question 2
1 / -0

The time, in which a force of 4 N produces a change in momentum of 0.4 kg m $$s^{-1}$$ in the body is:

A
0.1 s

B
0.02 s

C
0.5 s

D
0.05 s

Solution

Impulse $$=$$ change in momentum
or $$Ft=0.4$$
or $$t=0.4/F=0.4/4=0.1$$ sec
Question 3
1 / -0

The banking angle is independent of

A
the velocity of the vehicle

B
mass of the vehicle

C
the radius of curvature of the road

D
the height of inclination

Solution

The banking angle is an angle of vehicle w.r.t. to the road while taking turn on road. is given by $$tan\theta =\dfrac{v^2}{rg}$$So it is independent of mass of Vehicle
Question 4
1 / -0

Which has a greater momentum, an elephant at rest or an ant in motion?

A
Elephant

B
Ant

C
Neither has momentum

D
Same

Solution

Momentum combines both mass and velocity. Ant has a greater momentum because of it is moving. Momentum of the elephant would be zero because it is at rest.
Question 5
1 / -0

Force is directly proportional to

A
Rate of change in distance

B
Rate of change in velocity

C
Momentum

D
Rate of change in momentum

Solution

Second law of motion yields $$F = \Delta p/\Delta t$$
Question 6
1 / -0

What causes a moving body to resist a change in its state of motion?

A
Its acceleration

B
Its speed

C
Its inertia

D
Its weight

Solution

The property of a body by virtue of which it resists any change in its state of rest or of motion in a straight line on its own is called its inertia.
Question 7
1 / -0

A turn of radius 100 m is being designed for a speed of 25 m/s. At what angle should the turn be banked?

A
32 degrees

B
60 degrees

C
45 degrees

D
10 degrees

Solution

The angle of banking is given by $$\theta = tan^{-1}(v^2/rg)$$. Substituting the values, we get,

$$\theta = tan^{-1}(25^2/100 \times 10)=tan^{-1}(0.625) = 32 $$ degrees

The correct option is (a)
Question 8
1 / -0

The symbol and formula for momentum is

A
$$m, pv$$

B
$$p, ma$$

C
$$p, mv$$

D
$$M, mv$$

Solution

The momentum, (symbol $$p$$) of an object is defined as the product of its mass, $$m$$ and velocity, $$v.$$
i.e. $$p = mv$$
Question 9
1 / -0

Which of the following is not force?

A
Impulse

B
Tension

C
Thrust

D
Weight

Solution

Tension, trust, weight are all common forces in mechanics whereas impulse is not a force.
Impulse = force $$\times$$ Time duration.
Question 10
1 / -0

$$SI$$ units of momentum is _____

A
$$kg\, m/s^2$$

B
$$kg \,m/s$$

C
$$g \,km/hr$$

D
$$kg\, km/hr$$

Solution

$$SI$$ unit of momentum $$= (SI\, \text{unit of}\, m).(SI\,\text{ unit of}\, v) = kg \,m/s$$

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Re-Attempt Weekly Quiz Competition

Laws of Motion Test - 26

Result

Laws of Motion Test - 26

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SHARING IS CARING

Question 1

radius of curvature

angle of inclination with the horizontal

mass of the vehicle

acceleration due to gravity

Solution

Question 2

0.1 s

0.02 s

0.5 s

0.05 s

Solution

Question 3

the velocity of the vehicle

mass of the vehicle

the radius of curvature of the road

the height of inclination

Solution

Question 4

Elephant

Ant

Neither has momentum

Same

Solution

Question 5

Rate of change in distance

Rate of change in velocity

Momentum

Rate of change in momentum

Solution

Question 6

Its acceleration

Its speed

Its inertia

Its weight

Solution

Question 7

32 degrees

60 degrees

45 degrees

10 degrees

Solution

Question 8

$$m, pv$$

$$p, ma$$

$$p, mv$$

$$M, mv$$

Solution

Question 9

Impulse

Tension

Thrust

Weight

Solution

Question 10

$$kg\, m/s^2$$

$$kg \,m/s$$

$$g \,km/hr$$

$$kg\, km/hr$$

Solution

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