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All questions of Laws of Motion for Class 11 Exam

The dimensional formula of momentum is
  • a)
    [M L-1 T-1]
  • b)
    [M L T-1]
  • c)
    [ML-2T-1]
  • d)
    [M L2 T-1]
Correct answer is option 'B'. Can you explain this answer?

Suresh Iyer answered
Planck's Constant (h)  = 6.626176 x 10-34  m2 kg/s
So, Unit of planck constant=  m2 kg/s
Dimensions =M L2 T −1   ________ (1)
Angular momentum l = mvr
Where, m-mass
v-velocity
r-radius
Dimensions of angular momentum  =  M L T −1 L   = M  L2  T −1  _______________ (2)
From (1) and (2). 
Planck's constant and angular momentum have the same dimensions.

The dimensional formula for impulse is
  • a)
    [MLT-1]
  • b)
    [ML2T-1]
  • c)
    [M2LT]
  • d)
    [ML-1T2]
Correct answer is option 'A'. Can you explain this answer?

Krishna Iyer answered
We know that I = P, where P is momentum
As subtracting initial momentum from the final momentum won't affect its unit, we get unit if I is the same as that of P.

Two masses are in the ratio 1:5. What is ratio of their inertia?
  • a)
    1:5
  • b)
    5:1
  • c)
    1:25
  • d)
    25:1
Correct answer is option 'A'. Can you explain this answer?

Sagar Goyal answered
 
Force of inertia = ma
Let the masses be 1x and 5x
Force of inertia for 1st body= 1x * a
Force of inertia for 2nd = 5x * a
Ratio= x * a / 5x * a = 1:5

A block of 5 kg mass rests on a horizontal floor. The action of the block on the floor is
  • a)
    50 N vertically upward
  • b)
    5 N vertically upward
  • c)
    5 N vertically downward
  • d)
    50 N vertically downward
Correct answer is option 'D'. Can you explain this answer?

Preeti Iyer answered
Weight of the block, mg = 5kg x 10 m/s2 = 50 N.
According to Newton’s third law, the action of the block, that is the force exerted on the floor by the block is equal to 50 N in magnitude and is directly vertically downward.

A body of mass 2 kg is hung on a spring balance mounted vertically in a lift. If the lift moves up with an acceleration equal to the acceleration due to gravity, the reading on the spring balance will be
a)5 kg
b)8 kg
c)7 kg
d)4 kg
Correct answer is option 'D'. Can you explain this answer?

Geetika Shah answered
As the lift moves upwards but the spring feels itself at rest hence we need to compensate the non inertial frame by adding an appropriate pseudo force to treat it as an inertial frame. Hence the pseudo force to be applied acts on every mass in the lift which is equal to mass x acceleration (=g) downwards.
Hence the tension in the spring would be 40N (20 due to weight and 20 pseudo). Thus the reading would be 4kg.

 If no resultant force acts on a body then the body will be in
  • a)
    rest
  • b)
    motion
  • c)
    earlier state (no change in state)
  • d)
    none of the above
Correct answer is option 'C'. Can you explain this answer?

Preeti Iyer answered
What do you think about Newton's 1st law, he was said that " every body have nature to maintain inertia of rest or motion untill there is not net force applied on that body". means body will be earlier state (no change in state) when net force applied on that body equals zero.
I know, you thought answer is option (a). but this is not true. for better understanding, Let's take. an example. a body moves with uniform velocity then, net force applied on body = 0 because acceleration of body is zero . but here you see body is not in rest . it is in motion. it is in earlier state . its state doesn't change.

 In the above questions what is the weight of the suspended block ?
  • a)
     N
  • b)
     N
  • c)
     N
  • d)
    N
Correct answer is option 'A'. Can you explain this answer?

Gaurav Kumar answered
The question is incomplete and is too vague to be found
It should be removed so as to not cause confusion.

Three forces 2570_image008 act on an object of mass m = 2 kg. The acceleration of the object in m/s2 is:
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'C'. Can you explain this answer?

Krishna Iyer answered
Force vector follows the principle of superposition which says all the force vectors can be vectorially added if applied on one point to get the net force vector. Hence we get
F = F1 + F2 + F3 
= (-2 + 3) i + (1 - 2) j
 F = i - j = ma
Thus we get a = (i - j) /m
= (i - j) / 2

The forces F1, F2, and F3 are acting on a particle of mass m, such that F2 and F3are mutually perpendicular and under the effect of F1, F2, and F3 , the particle remains stationary. What will be the acceleration of the particle, if the force F1 is removed?
  • a)
  • b)
  • c)
  • d)
Correct answer is option 'A'. Can you explain this answer?

Geetika Shah answered
Concept: Forces.The particle is a stationary under the effect of forces F1, F2 and F3.
This shows that force F1 is equal and opposite to the resultant of forces F2 and F3.
Hence, if the force F1 is removed the particle will move under the action of the force -ve F1 and the acceleration will the particle will be,a =-F1/m.
 

A block of mass m is pushed by applying a force F at an angle θ with the horizontal surface. The normal force on the block is given as –
  • a)
    F = mg – F sin θ
  • b)
    F  = mg + F sin θ
  • c)
    F = F sin θ
  • d)
    F = mg
Correct answer is option 'A'. Can you explain this answer?

Krishna Iyer answered
Both of them are vector quantities. And both of them can be easily simplified. If taken in the vector form then the task is even easier. Thus it is not necessary for the force or the couple to be vector only, even if the magnitude is taken, the simplification is done in the 2D.

A monkey of mass 40 kg climbs on a rope which can stand a maximum tension of 600 N. In which of the following cases will the rope break. When the monkey
(a) Climbs up with an acceleration of 6 ms−2.
  • a)
    640 N
  • b)
    632 N
  • c)
    760 N
  • d)
    740 N
Correct answer is option 'A'. Can you explain this answer?

Preeti Iyer answered
Mass of the monkey, m = 40 kg
Acceleration due to gravity, g = 10 m/s
Maximum tension that the rope can bear, Tmax = 600 N
Acceleration of the monkey, a = 6 m/s2 upward
Using Newtons second law of motion, we can write the equation of motion as:
T  mg = ma
T = m(g + a)
= 40 (10 + 6) 
= 640 N
Since T > Tmax​, the rope will break in this case.

Can you explain the answer of this question below:

A horizontal force of 100 N pulls two masses 5 kg and 10 kg tied to each other by a light string. What is the tension in the string if the force is applied on 10 kg mass?

  • A:

    30 N

  • B:

    23 N

  • C:

    43 N

  • D:

    33.3 N

The answer is d.

Geetika Shah answered
At first considering both blocks as one system with only one external force F
We get common acceleration at right be a = 100/15 m/s2
Now considering 10 kg block
We get F - T = 10a
i.e. T = 100  - 10(100/15)
= 100 (1 - 2/3)
= 33.33 N

Which of the following cannot be regarded as yet another kind of force?
  • a)
    centripetal force
  • b)
    gravitational force
  • c)
    electrostatic force
  • d)
    magnetic force
Correct answer is option 'A'. Can you explain this answer?

Lavanya Menon answered
if an object is moving in a horizontal circle at constant speed, the centripetal force does not do any work and cannot alter the total mechanical energy of the object. For the reason, the kinetic energy and therefore the speed of the object will remain constant.

A man of mass 70 kg stands on a weighing scale in a lift which is moving upwards with a uniform speed of 10 m s−1, what would be the reading on the scale?
  • a)
    105 kg
  • b)
    75 kg
  • c)
    70 kg
  • d)
    35 kg
Correct answer is option 'C'. Can you explain this answer?

Pooja Shah answered
Mass of the man, m = 70 kg
Acceleration, a = 0
Using Newton’s second law of motion, We can write the equation of motion as, 
R – mg = ma
∴ R = mg = 70 × 10 = 700 N
∴ the weighing scale = 700 / g = 700 / 10 = 70 kg

After the body starts moving, the friction involved with motion is
  • a)
    Static Friction
  • b)
    Rolling Friction
  • c)
    Sliding Friction
  • d)
    Kinetic Friction
Correct answer is option 'D'. Can you explain this answer?

Gaurav Kumar answered
When the body is in rest it is under static friction but when it starts moving (neither rolling nor sliding), the static friction slowly chngs to kinetic friction as the coefficient of static friction start decreasing and that of kinetic friction starts increasing. In case it starts rolling motion then the friction is rolling friction & if it slides then sliding fiction.

Which of the following forces is not considered as a contact force in Mechanics?
  • a)
    Tensional force
  • b)
    Gravitational force
  • c)
    Viscous force
  • d)
    Frictional force
Correct answer is option 'B'. Can you explain this answer?

Pooja Mehta answered
Gravitational force 
The force exerted by the earth on a body is called gravitational force. Actually this force exists between any two bodies in the universe.This force is always of attraction. e.g. When a body is dropped from a height it moves in downward direction towards the Earth with increasing speed (with constant acceleration). This constant acceleration by which all bodies fall down is called acceleration due to gravity. Its value is 9.8 m/s' (approx 10 m/s' )on the surface of the earth. e.g. i) A fruit from tree falls down;ii) Water falls down on a ground from a tap.iii) We feel the weight of bucket full of water holding in our hand. 

A man weighing 100kgf carries a load of 10kgf on his head. He jumps from tower with that load. What will be the weight of load experienced by the man.
  • a)
    0
  • b)
    110 kgf
  • c)
    10 kgf
  • d)
    slightly more than 10kgf
Correct answer is option 'A'. Can you explain this answer?

When an object falls freely, it experiences weightlessness. This is because the object and the load on it are both accelerating towards the ground at the same rate due to gravity. Therefore, the object and the load on it will have the same weight as they would have if they were stationary on the ground.
 
In this case, the man is carrying a load of 10 kgf on his head and jumps from a tower. As he falls freely, both the man and the load on his head will experience weightlessness. Therefore, the weight of the load experienced by the man will be zero.
 

A man weighs 70 kg. He stands on a weighing scale in a lift which is moving upwards with an acceleration of 5ms2.What would be the reading on the scale? (g=10 ms2)
  • a)
    1050 N
  • b)
    1200 N
  • c)
    220 N
  • d)
    1000 N
Correct answer is option 'A'. Can you explain this answer?

Krishna Iyer answered
As the moving elevator is a non inertial frame hence newton's laws can’t be applied directly to it. So to apply Newton's laws we need to add a pseudo force to the man's body equal to mass times the acceleration of lift in the opposite direction to that of acceleration. Thus the balancing normal force is equal to the weight of the man +  mass times the acceleration which is,
Reading = Normal force = 700 + 70 x 5
= 700 + 350
= 1050 N

A constant force acting on a body of mass 3 kg changes its speed from 2 m/s to 3.5 m/s in 10 second. If the direction of motion of the body remains unchanged, what is the magnitude and direction of the force?
  • a)
    0.45 N in the direction opposite to motion.
  • b)
    2.45 N in the direction of motion.
  • c)
    0.45 N in the direction of motion.
  • d)
    1.45 N in the direction opposite to motion.
Correct answer is 'C'. Can you explain this answer?

Nandini Patel answered
Mass of the body, m = 3 kg
Initial speed of the body, u = 2 m/s
Final speed of the body, v = 3.5 m/s
Time, t = 10 s
Using the first equation of motion, the acceleration (a) produced in the body can be calculated as:
v = u + at
∴ a = (v – u) / t
= (3.5 – 2) / 10 = 0.15 ms^-2
As per Newton’s second law of motion, force is given as:
F = ma
= 3 x 0.15 = 0.45 N
Since the application of force does not change the direction of the body, the net force acting on the body is in the direction of its motion.

The component of contact force normal to the surfaces in contact is called
  • a)
    Tension
  • b)
    Friction
  • c)
    Gravitational component
  • d)
    Normal reaction
Correct answer is 'D'. Can you explain this answer?

Shreya Gupta answered
The component of contact force normal to the surfaces in contact is called normal reaction. The component parallel to the surfaces in contact is called friction.

If second law is applied to a rigid body
  • a)
    the acceleration is that of the centre of mass
  • b)
    the acceleration is the average of all particles in the body
  • c)
    the acceleration is that of any particle in the body
  • d)
    none of the above
Correct answer is option 'A'. Can you explain this answer?

Geetika Shah answered
The net external force on the rigid body is always equal to the total mass times the translational acceleration (i.e., Newton's second law holds for the translational motion, even when the net external torque is nonzero, and/or the body rotates).

Impending motion of a body is opposed by
  • a)
    sliding friction
  • b)
    rolling friction
  • c)
    static friction
  • d)
    kinetic friction
Correct answer is option 'C'. Can you explain this answer?

Rajat Kapoor answered
When the motion is not impending, b) Impending motion is the moment where the body is on the verge of slipping. Static friction force reaches the max value. For a given pair of mating surfaces, . c) Motion The body starts moving in the direction of the applied force.

When a wheel rolls on a level road, the direction of frictional force at the point of contact of wheel and ground is:
  • a)
    along the tangent to the wheel
  • b)
    forward direction
  • c)
    along the centre of the wheel
  • d)
    backward direction
Correct answer is option 'B'. Can you explain this answer?

Advait Ghoshal answered
Frictional force is the opposing force which plays between two surfaces and it destroys the relative motion between them. Frictional force is a non-conservative force. The force produced by two surfaces that contact and slide against each other, that force is called the frictional force. These forces are affected by the nature of the surface and amount of force acting on them.
In case of a bicycle, the front wheel of the bicycle is connected to a rod passing through its centre. The force acting on the wheel about its central axis by the force coming from the rest of the bicycle is zero. Front wheel obtains linear velocity by pedalling but it cannot rotate it.
Wheel or ball can also be rolled by pushing on it. The frictional force prevents the wheel from sliding forward at the point of contact. Here, the frictional force prevents the wheel from sliding forward and it is in the opposite direction.

So, in the case of the wheel, the point P which is in contact with the ground tries to go backward due to rotation. Frictional force will oppose this motion. Hence it will move forward.
Hence the direction of frictional force at the point P of the wheel is in forward direction.
Note: Frictional force opposes the motion. Here static friction holds a wheel or a ball on the surface. Frictional force is equal and opposite in direction to the applied force parallel to the contacting surfaces. The resistance due to the rolling body on a surface is called rolling friction. Torque is a force that acts on a body that is undergoing rotation.

Two forces F1 and F2 are acting on a particle. The particle will remain at rest if two forces are
  • a)
    Opposite
  • b)
    Equal and Opposite
  • c)
    Unequal and in same direction
  • d)
    Equal
Correct answer is option 'B'. Can you explain this answer?

For an object at rest to be at rest, no net acceleration must act upon it, which implies no net force. Thus the two forces need to nullify each other, which is only possible if both are equal but opposite.

A block of mass 2kg rests on a plane inclined at an angle of 30with the horizontal. The coefficient of friction between the block and the surface is 0.7. The frictional force acting on the block is
  • a)
    9.8N
  • b)
    0.7×9.8×3–√N
  • c)
    12.5 N
  • d)
    0.7×9.8N
Correct answer is option 'A'. Can you explain this answer?

Rohan Singh answered
Since the frictional force is self adjusting, the weight component acting down the inclined plane is mgsin?, which comes out to be 2 x 10 sin 30 = 10 N. So the frictional force balancing this downward force will also be 10 N acting up the plane.

A man pulls a block heavier than himself with a light horizontal rope. The coefficient of friction is the same between the man and the ground, and between the block and the ground.
                  
  • a)
    The block will not move unless the man also moves
  • b)
    The man can move even when the block is stationary
  • c)
    If both move, the acceleration of the man is greater than the acceleration of the block
  • d)
    None of the above assertions is correct
Correct answer is option 'A,B,C'. Can you explain this answer?

Krishna Iyer answered
The friction force between the block and ground is more as compared to friction force between man and ground.
such that unless man doesn't move the block will not be moved.
The block of mass say M is heavier than the man of mass say m. The surface is rough with friction coefficient say μ. So when the man applies the force on the block the force cannot exceed the frictional force μmg without moving as μMg>μmg. Now if he starts moving (i.e. the force applied is increased and now the friction between him and the surface is not holding him stationary) there is a possibility that the block may move. Now as there is no other force acting on the system and as the man is lighter than block so he would have greater acceleration than the block when both move.

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