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NCERT Solutions for Class 9 Science Chapter 8 Force and Laws of Motion

NCERT Solutions for Class 9 Science Chapter 8 Force and Laws of Motion covers balanced and unbalanced forces, Newton's first, second, and third laws of motion, inertia, mass, linear momentum, and conservation of momentum.

Overview of Topics & Subtopics (Click to Jump)

1. Balanced and Unbalanced Forces

Short Note:

• Force: A push or pull upon an object resulting from its interaction with another object. SI Unit: Newton (N).

• Balanced Forces: When the resultant of all forces acting on a body is zero. They do not change the state of rest or motion of an object, but can change its shape.

• Unbalanced Forces: When the resultant of all forces acting on a body is non-zero. They cause a change in speed or direction of motion (i.e., produce acceleration).

2. First Law of Motion & Inertia

Short Note:

• Newton's First Law of Motion: An object continues in its state of rest or uniform motion along a straight line unless acted upon by an unbalanced external force. Also known as the Law of Inertia.

• Inertia: The natural tendency of an object to resist changes in its state of rest or uniform motion.

  - Inertia of Rest: Resistance to move from rest (e.g., falling backward when a bus starts suddenly).

  - Inertia of Motion: Resistance to stop moving (e.g., falling forward when a moving bus stops suddenly).

• Mass and Inertia: Mass is the quantitative measure of inertia. Heavier objects have higher inertia.

3. Second Law of Motion & Momentum

Short Note:

• Linear Momentum (p): Product of mass (m) and velocity (v) of an object. p = m × v. It is a vector quantity with SI unit kg·m/s.

• Newton's Second Law of Motion: The rate of change of momentum of an object is directly proportional to the applied unbalanced force in the direction of the force.

  - Mathematical Formula: F = m × a (Force = Mass × Acceleration).

  - 1 Newton is the force that produces an acceleration of 1 m/s² in a mass of 1 kg.

4. Third Law of Motion & Conservation of Momentum

Short Note:

• Newton's Third Law of Motion: To every action, there is an equal and opposite reaction, and they act on two different bodies simultaneously.

  - Example: Recoil of a gun, walking on the ground, rocket propulsion.

• Law of Conservation of Momentum: In an isolated system (where no external unbalanced force acts), the total momentum before collision equals the total momentum after collision.

  - Formula: m₁u₁ + m₂u₂ = m₁v₁ + m₂v₂

Intext Questions - Page Number: 85

Q1: Which of the following has more inertia: (a) a rubber ball and a stone of the same size? (b) a bicycle and a train? (c) a five-rupees coin and a one-rupee coin?
Answer: Since inertia depends directly on the mass of the object:

(a) A stone of the same size has more mass and hence more inertia than a rubber ball.

(b) A train has much greater mass and hence more inertia than a bicycle.

(c) A five-rupees coin has more mass and hence more inertia than a one-rupee coin.

Q2: Why do some of the leaves fall off a tree if we vigorously shake its branch?
Answer: When we shake the branch, the branch comes into motion, but the leaves tend to remain at rest due to their inertia of rest. This sudden relative motion causes the leaves to detach and fall down.
Q3: Why do you fall in the forward direction when a moving bus brakes to a stop and fall backwards when it accelerates from rest?
Answer:

• When the bus brakes: The lower part of our body comes to rest with the bus, but the upper part continues in motion due to the inertia of motion, causing us to fall forward.

• When the bus accelerates: The lower part moves forward with the bus, but the upper part tends to stay at rest due to the inertia of rest, causing us to fall backward.

Textbook Chapter End Exercise Questions

Q1: An object experiences a net zero external unbalanced force. Is it possible for the object to be travelling with a non-zero velocity? State the conditions.
Answer: Yes, it is possible. According to Newton's First Law of Motion, if an object experiences a net zero external unbalanced force, it continues to move with a constant non-zero velocity along a straight path provided:

1. It was already in motion initially.

2. The magnitude and direction of the velocity remain completely unchanged.

3. Resistance/frictional forces are zero or completely balanced.

Q2: When a carpet is beaten with a stick, dust comes out of it. Explain.
Answer: When a carpet is beaten with a stick, the carpet is set into sudden motion. However, the dust particles present in the carpet tend to remain at rest due to their inertia of rest. As a result, the dust particles separate from the moving carpet and fall off.
Q3: Why is it advised to tie any luggage kept on the roof of a bus with a rope?
Answer: When the bus accelerates, stops suddenly, or takes a sharp turn, the luggage kept on the roof tends to resist the change in its state of motion due to inertia (inertia of rest, motion, or direction). Without being tied, the luggage could slip off and fall due to relative motion.
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More for this chapter

Class 9 › Science › Force and Laws of Motion
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Topics in this chapter: Balanced and Unbalanced ForcesFirst Law of Motion & InertiaSecond Law of Motion & MomentumThird Law of Motion & Conservation of Momentum