NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

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JEE : NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

The document NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev is a part of the JEE Course NEET Revision Notes.
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MULTIPLE CHOICE QUESTIONS 

Q.1. A ball is travelling with uniform translatory motion. This means that
(a) It is at rest.
(b) The path can be a straight line or circular and the ball travels with uniform speed.
(c) All parts of the ball have the same velocity (magnitude and direction) and the velocity is constant.
(d) The centre of the ball moves with constant velocity and the ball spins about its centre uniformly.
Ans. (c)
Solution.
When a body moves in such a way that the linear distance covered by each particle of the body is same during the motion, then the motion is said to be translatory or translation motion.
Translatory motion can be, again of two types viz., curvilinear (shown in fig. (a)) or rectilinear (shown in fig. (b)), accordingly as the paths of every constituent particles are similarly curved or straight line paths. Here it is important that the body does not change its orientation. Here we can also define it further in uniform and non-uniform translatory motion. Here figure
(b) is uniformly translatory motion.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev


Q.2. A metre scale is moving with uniform velocity. This implies
(a) The force acting on the scale is zero, but a torque about the centre of mass can act on the scale.
(b) The force acting on the scale is zero and the torque acting about centre of mass of the scale is also zero.
(c) The total force acting on it need not be zero but the torque on it is zero.
(d) Neither the force nor the torque need to be zero.

Ans. (b)
Solution.
As the meter, the scale is moving with uniform velocity.
∴ No change in its velocity i.e., acceleration of it zero by Newton’s second law NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
∴ Hence net or resultant force must act on body zero.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
So torque must be zero.
Hence, for uniform motion force and torque, both must be zero.So, It verifies the option (b).

Q.3. A cricket ball of mass 150 g has an initial velocity NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev and a final velocity NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev after being hit. The change in momentum (final momentum-initial momentum) is (in kg m s1)
(a) zero
(b)NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
(c)NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
(d)NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

Ans. (c)
Solution.
m = 150g = 0.15kg
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Change in momentumNCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev momentum-Initial momentum NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Hence, this verifies the option(c).

Q.4. In the previous problem (5.3), the magnitude of the momentum transferred during the hit is
(a) Zero
(b) 0.75 kg m s–1 
(c) 1.5 kg m s–1 
(d) 14 kg m s–1
Ans. 
(c)
Solution.

By previous solution,
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
= 1.5 kg ms-1
So, this verifies the option (c).

Q.5. Conservation of momentum in a collision between particles can be understood from
(a) Conservation of energy.
(b) Newton’s first law only.
(c) Newton’s second law only.
(d) Both Newton’s second and third law.

Ans. (d)
Solution.
(i) By Newton’s second law 
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
As NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev in law of conservation of momentum is zero.
i.e., NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev = 0
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev = 0
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
(ii) By Newton’s third law action force is equal to reaction force in magnitude but in opposite direction.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev (NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev = 0)
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
So proves the law of conservation of momentum and verifies the option (d).

Q.6. A hockey player is moving northward and suddenly turns westward with the same speed to avoid an opponent. The force that acts on the player is
(a) Frictional force along westward.
(b) Muscle force along southward.
(c) Frictional force along south-west.
(d) Muscle force along south-west.

Ans. (c)
Solution.
As we know rate of change of momentum is forceNCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev So in this case direction of force acting on player will be the same as the direction of change in momentum. Now to understand this in better let’s look the image below
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevshows player’s northward and westward directions respectively. Now NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevshows south direction soNCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevis towards south-west which means force on player will act on this direction.
Therefore, option (c) is correct.

Q.7. A body of mass 2kg travels according to the law x(t) = pt + qt2 + rt3 where p = 3ms−1 , q = 4ms−2 = and r = 5ms−3.
The force acting on the body at t = 2 seconds is
(a) 136 N
(b) 134 N
(c) 158 N
(d) 68 N

Ans. (a)
Solution.
We have given in question x(t) = pt + qt2 + rt3 so to find the force we will differentiate above position equation two times i.e.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
We have x(t) = pt + qt2 + rt3 where p = 3ms-1, q = 4ms-2, r = 5ms-3
So x(t) = 3t + 4t2 + 5t3
Now first derivative of above equation
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Therefore, option (a) is correct.

Q.8. A body with mass 5 kg is acted upon by a force NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevIf its initial velocity at t = 0 is NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev the time at which it will just have a velocity along the y-axis is
(a) Never
(b) 10 s
(c) 2 s
(d) 15 s

Ans. (b)
Solution.
We have to find the time at which the final velocity along the y axis which means x-component will be zero. We have NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevnow X-component = vx + axt = 0
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Therefore, option (b) is correct.

Q.9. A car of mass m starts from rest and acquires a velocity along east NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev in two seconds. Assuming the car moves with uniform acceleration, the force exerted on the car is
(a) mv/2  eastward and is exerted by the car engine.
(b) mv/2 eastward and is due to the friction on the tyres exerted by the road.
(c) more than mv/2 eastward exerted due to the engine and overcomes the friction of the road.
(d) mv/2 exerted by the engine.

Ans.
Solution.
Car start from rest mean initial velocity u = 0, alsoNCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev and t = 2s mass is given as m.
As we know NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Now force exerted on the car i.e.NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev here this force is due to engine of car so whatever this force is actually internal force in another words due to friction force the car moves in eastward direction.

Q.10. The motion of a particle of mass m is given by x = 0 for t < 0 s, x(t) = A sin4p t for 0 < t <(1/4) s (A > o), and x = 0 for t >(1/4) s. Which of the following statements is true?
(a) The force at t = (1/8) s on the particle is –16π2 A m.
(b) The particle is acted upon by on impulse of magnitude 4π2 A m at t = 0 s and t = (1/4) s.
(c) The particle is not acted upon by any force.
(d) The particle is not acted upon by a constant force.
(e) There is no impulse acting on the particle.

Ans. (a, b, d)
Solution.
We have given mass = m, x(t) = 0 for t < 0
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Now let’s look for time interval NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
x(t) = A sin 4πt
Also we know,
1st derivative of x(t) w.r.t. time will give velocity
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
2nd derivative of x(t) w.r.t. time will give velocity
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Then,
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Here, this force is obviously time dependent so force is not constant hence option (d) is correct.
Now let’s look to option (a) i.e. At NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
So from this we can say option (a) also correct.
Now for option (b) i.e. between t = 0 s and t = (1/4) s, as we know impulse is change in momentum or NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev so at t = (1/4) s impulse will be
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev here we have to keep in mind that F(t) varies from t=0 to maximum 1/8 s, so F (1/4) will be replaced by F (1/8) also from above we have found
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
so option(b) is also correct.
Option (c) is absolutely wrong as we have above found that force is acting.
Option (e) is also wrong because we have already calculated the impulse.

Q.11. In Fig, the co-efficient of friction between the floor and the body B is 0.1. The co-efficient of friction between the bodies B and A is 0.2. A force F is applied as shown on B. The mass of A is m/2 and of B is m. Which of the following statements are true?
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev(a) The bodies will move together if F = 0.25 mg.
(b) The body A will slip with respect to B if F = 0.5 mg.
(c) The bodies will move together if F = 0.5 mg.
(d) The bodies will be at rest if F = 0.1 mg.
(e) The maximum value of F for which the two bodies will move together is 0.45 mg.

Ans. (a, b, d, e)
Solution.
We have given NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev Let acceleration in body A and B is ‘a’.
Body A will move along with body B by force F till the force of friction between surface of A and B is larger or equal to zero.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevNow taking system A+B then acceleration will be
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
So force on A
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
If FAB is equal or smaller than f2 then body A will move along with body B.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
N = Reaction force by B on A
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
[N2 = Normal reaction on B along with A by surface]
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
From (i)
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev so adding this with equation (ii) we can say F = 0.45mg ...(iii)
F = 0.45mg Newton is the maximum force on B. so that A and B can move together. So option (e) is correct.
Both bodies can move together if F is less than or equal to 0.45mg Newton.
So options (a) and (b) are also correct and rejects the option (c) as 0.5mg>0.45mg.
For option (d): Minimum force which can move A and B together
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Given force in option (d) 0.1mg Newton <0.25mg Newton. So body A and B will not move i.e.
Bodies A and B will remain in rest hence option (d) is also correct.

Q.12. Mass m1 moves on a slope making an angle θ with the horizontal and is attached to mass m2 by a string passing over a frictionless pulley as shown in Fig. The co-efficient of friction between m1 and the sloping surface is µ.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev(a) If m2 > m1 sin θ, the body will move up the plane.
(b) If m2 > m1 > + (sinθ + µ cos θ), the body will move up the plane.
(c) If m2 < m1 + (sinθ + µ cos θ), the body will move up the plane.
(d) If m2 < m1 (sinθ - µ cos θ), the body will move down the plane.

Ans. (b, d)
Solution.
Let’s consider a case in which normal reaction i.e.
N = m1g cosθ from figure also we know friction
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevNCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Now from figure taking whole as a system then
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
when m1 will up and m2 will down.
Putting f in this equation
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev from this option (a) is totally wrong while option (b) is correct.
Now if body m1 moves down and m2 moves up then, direction of friction force (f) becomes upward (opp. to motion).
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Hence option (d) is correct but option (c) is wrong.

Q.13. In Fig, a body A of mass m slides on plane inclined at angle θ1 to the horizontal and µ1 is the coefficent of friction between A and the plane. A is connected by a light string passing over a frictionless pulley to another body B, also of mass m, sliding on a frictionless plane inclined at angle θ2 to the horizontal. Which of the following statements are true?NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev(a) A will never move up the plane.
(b) A will just start moving up the plane when
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
(c) For A to move up the plane, θ2 must always be greater than θ1.
(d) B will always slide down with constant speed.

Ans. (b, c)
Solution.

 Condition Free body diagrams
 NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
 NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
 Equation Tension and acceleration
  T - m1g sin α = m1a NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
 m2a = m2g sin β - T NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

In this problem first we have to decide the direction of motion. Let block A moves up the plane friction force on A will be downward (along the plane) as shown.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevNCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

Q.14. Two billiard balls A and B, each of mass 50g and moving in opposite directions with speed of 5m s–1 each, collide and rebound with the same speed. If the collision lasts for 10–3 s, which of the following statements are true?
(a) The impulse imparted to each ball is 0.25 kg m s–1 and the force on each ball is 250 N.
(b) The impulse imparted to each ball is 0.25 kg m s–1 and the force exerted on each ball is 25 × 10–5 N.
(c) The impulse imparted to each ball is 0.5 Ns.
(d) The impulse and the force on each ball are equal in magnitude and opposite in direction.

Ans. (c, d)
Solution.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

According to the problem, balls are identical.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Initial velocity (u) = u1 = u2 = 5 m/s
Final velocity (v) = v1 = v2 = -5 m/s
Time duration of collision = 10-3s
Change in linear momentum = m(v - u)
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Impulse and force are opposite in directions.

Q.15. A body of mass 10kg is acted upon by two perpendicular forces, 6N and 8N. The resultant acceleration of the body is
(a) 1 m s–2 at an angle of tan-1 (4/3) w.r.t. 6N force.
(b) 0.2 m s–2 at an angle of tan-1 (4/3) w.r.t. 6N force.
(c) 1 m s–2 at an angle of tan-1 (3/4) w.r.t. 8N force.
(d) 0.2 m s–2 at an angle of tan-1 (3/4) w.r.t. 8N force.

Ans. (a, c)
Solution.
Recall the concept of resultant of two vectors, when they are perpendicular
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
As they are perpendicular, cos 90° = 0
So resultant will be NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
As shown in the diagram
According to the problem, mass = m = 10 kg
F1 = 6 N, F2 = 8 N
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Let θ1 be the angle between F and F1.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Let θ2 be angle between F and F2.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

VERY SHORT ANSWER TYPE QUESTIONS

Q.1. A girl riding a bicycle along a straight road with a speed of 5 m s–1 throws a stone of mass 0.5 kg which has a speed of 15 m s–1 with respect to the ground along her direction of motion. The mass of the girl and bicycle is 50 kg. Does the speed of the bicycle change after the stone is thrown? What is the change in speed, if so?
Ans. Let m1 and m2 be the mass of girl with bicycle and stone respectively i.e. m1 = 50kg & m2 = 0.5kg
Also we have given u1 = 5m/s, u2 = 5m/s and v2 = 15 m/s and we have to find v1
As we know by law of conservation of momentum initial momentum (girl, bicycle, stone) = final momentum (cycle and girl) + stone
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Therefore, the speed of cycle and girl decreased by
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

Q.2. A person of mass 50 kg stands on a weighing scale on a lift. If the lift is descending with a downward acceleration of 9 m s–2, what would be the reading of the weighing scale? (g = 10 m s–2)
Ans. Let the acceleration be ‘a’ when the lift is descending, then the apparent weight decreases on weighing scale
So W' = R
= mg - ma
= m(g - a)
Apparent weight due to reaction force by the lift on weighing scale will be
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Reading of weighing scale = R/g = 50/10 = 5 kg

Q.3. The position time graph of a body of mass 2 kg is as given in Fig. What is the impulse on the body at t = 0 s and t = 4 s.NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevAns. As we know impulse is change in momentum which can be written in terms of force
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
We have given mass of body m=2 kg, initial velocity (v1) at t=0 is zero. Now in the interval t ≥ 0 to t ≤ 4 x-t graph is straight line that mean velocity of body will remain constant.
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
And when t ≤ 4 the slope of graph is zero so velocity will also be zero i.e. v3 = 0
Now NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev or Impulse=change in momentum
Impulse at t = 0
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Impulse at t = 4
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
So from above observation impulse at t = 0 increased by  + 1.50 kg ms-1 and at t = 4 it is decreased by -150 kg ms-1.

Q.4. A person driving a car suddenly applies the brakes on seeing a child on the road ahead. If he is not wearing seat belt, he falls forward and hits his head against the steering wheel. Why?
Ans. When a person applies breaks suddenly, the lower part of person slows rapidly with the car, but the upper part of driver continue to move with same speed in the same direction due to the inertia of motion and his head car hit with steering.

Q.5. The velocity of a body of mass 2 kg as a function of t is given by NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevFind the momentum and the force acting on it, at time t = 2s.
Ans. we have mass m = 2kg and NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
So momentum at 2 sec p (2) = mv (2)
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
Hence momentum and force at 2 sec will be NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev and NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev respectively.

Q.6. A block placed on a rough horizontal surface is pulled by a horizontal force F. Let f be the force applied by the rough surface on the block. Plot a graph of f versus F.
Ans. 
Let f (frictional force) at y-axis and F at x-axis
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRevNow when a small force F1 is applied on a heavier box, this box does not move, at this state, force of friction f1 is equal to F1. Increasing force on box does not move till F = fs (the maximum static frictional or limiting force).
After force fs, the frictional force decrease i.e. less kinetic force F< fs is applied on body and it starts to move with less friction
In diagram A is equivalent to limiting frictional force and a B is equivalent to kinetic frictional force.

Q.7. Why are porcelain objects wrapped in paper or straw before packing for transportation?
Ans. Porcelain (or glass) objects are brittle in nature and can crack even small jerk on it. During transportation sudden jerks or even fall takes place.
When objects are packed in paper or straw etc. the objects takes more time to stop or change velocity during jerks (due to breaks, or uneven road) so acceleration (v - u)/t decreased. So the force on objects will be smaller and objects become safer.

Q.8. Why does a child feel more pain when she falls down on a hard cement floor, than when she falls on the soft muddy ground in the garden?
Ans. The effect of force F = ma. i.e., if the mass is constant for a system to decrease force, the ‘a’ should be decreased a = (v - u)/t initial and final velocity of falling body on a surface are u and zero. so it cannot be changed. If time during hitting is increased, the acceleration decreased and force will decrease.
On cemented hard floor the time to stop after fall on it is very-very small. But when she/he falls on soft ground of garden she/he sinks in ground and takes more time to stop hence smaller force or pain acts on her/him.

Q.9. A woman throws an object of mass 500 g with a speed of 25 m s1.
(a) What is the impulse imparted to the object?
(b) If the object hits a wall and rebounds with half the original speed, what is the change in momentum of the object?

Ans. (a) Mass of object m = 500 g = 0.5 kg
u = 0, v = 25 m/s
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev
NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

Hence, the NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev or force is opposite to the initial velocity of ball.

Q.10. Why are mountain roads generally made winding upwards rather than going straight up?
Ans. On an inclined plane force of friction on a body going upward is fs = μN cos θ where θ is angle of inclination of a plane with horizontal if θ is small, the force of friction is high and there is a less chance of skidding. The road straight up would have a larger angle and smaller would be the value of friction, hence more are the chances of skidding. 

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NCERT Exemplar (Part - 1) - Laws of Motion Notes | EduRev

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