Force and Pressure class 8th Notes/ Numerical/download pdf

 


Force and Pressure Notes, Formulae, pdf download

Class:-8th

Target: CBSE Board Exams | State Board Exams | NTSE | Olympiads | Foundation 

Introduction

                In our daily life, we often push or pull objects. These actions are examples of force. Force can change the state of motion, shape, or direction of an object. This chapter deals with the basic concepts of force and pressure, and their applications in real life.

Force

- A force is a push or pull acting on an object.

- It is a vector quantity, meaning it has both magnitude and direction.

Effects of Force

Force can:

  • Change the shape of an object.
  • Change the speed of an object.
  • Change the direction of motion of an object.
  • Bring an object in motion to rest and rest to motion.

Types of Forces

1. Contact Force: 

- Acts when two objects are in contact (e.g., muscular force, friction).

Types of Contact Force:

1) Muscular Force:

Definition:
- Muscular force is the force exerted by the muscles of humans or animals to perform physical tasks.

Key Points:

  • It is a contact force, meaning it acts only when there is physical contact.
  • It is used in daily activities like pushing, pulling, lifting, and walking.
  • Both humans and animals use this force to move or hold things.

 Examples:

  • Lifting a school bag
  • Pedaling a bicycle
  • Kicking a football




2) Friction Force:

Definition:
- Friction force is the resisting force that occurs when two surfaces are in contact and one tries to move over the other.

Key Points:
  • It is also a contact force.
  • It opposes motion.
  • Friction helps in walking, writing, driving, etc.
  • It produces heat and causes wear and tear.

Examples:

  • A ball slowing down on the ground.
  • Rubbing hands to produce heat.
  • Brakes stopping a bicycle.

2. Non-contact Force – Acts without contact (e.g., gravitational force, magnetic force, electrostatic force).

Types of Non-contact Force:

1) Gravitational Force:

  •          Definition: The force of attraction between two masses.
  •          Example: Earth pulling objects toward itself (falling of an apple).
  •          Acts on: All objects with mass.
  •          Direction: Always attractive, toward the center of the massive body (e.g., Earth)

2) Magnetic Force:

  • Definition: The force exerted by magnets on other magnets or magnetic materials (like iron). 
  • Example: A magnet attracting iron nails.
  • Acts on: Magnetic materials or moving electric charges.
  • Can be: Attractive or repulsive depending on the poles.

3) Electrostatic Force:

  • Definition: The force between two charged objects.


  • Example: A rubbed comb attracting tiny bits of paper.
  • Acts on: Charged particles.
  • Can be: Attractive or repulsive depending on the charges (like charges repel, unlike charges    attract).

Pressure

  • Pressure is the force acting perpendicularly per unit area. 
  • It is given by the formula:

                                                     Pressure = Force / Area

Unit of Pressure

  • SI unit of pressure is Pascal (Pa), where 1 Pa = 1 N/m².

Pressure Exerted by Liquids and Gases

  • Liquids and gases exert pressure on the walls of the container.
  • Pressure in liquids increases with depth.
  • Air pressure decreases with height.



Applications of Pressure in Daily Life

  • Sharp knives have small surface area to increase pressure and cut easily.
  • Broad camel feet reduce pressure on sand.
  • Syringes and hydraulic lifts work using liquid pressure.

Solved Numerical

Calculating Force

Q1: A body of mass 5 kg is moving with an acceleration of 3 m/s². Calculate the force applied.

Solution:

Formula: F = m × a

Solution: F = 5 × 3 = 15 N

Finding Pressure

Q2: A force of 100 N is applied over an area of 5 m². What is the pressure exerted?

Solution:

Formula: P = F / A

Solution: P = 100 / 5 = 20 Pa

Application of Liquid Pressure

Q3: The pressure at the bottom of a water tank is 4000 Pa. If the area of the base is 2 m², calculate the force exerted by the water on the base.

Solution:

Formula: F = P × A

Solution: F = 4000 × 2 = 8000 N

Pressure by a Brick

Q4: A brick of weight 30 N has dimensions 20 cm × 10 cm. Calculate the pressure when it rests on the smaller face.

Solution:

Area: A = 0.2 × 0.1 = 0.02 m²
Pressure: P = F / A

Solution: P = 30 / 0.02 = 1500 Pa

Effect of Area on Pressure

Q5: A 60 N force is applied on two different surfaces:
- Surface A: 0.5 m²
- Surface B: 0.2 m²
Calculate the pressure on both.

Solution:

For A: P = 60 / 0.5 = 120 Pa
For B: P = 60 / 0.2 = 300 Pa

Conclusion: Pressure increases when area decreases.

Practice Numerical:

1) A force of 1200 N acts on the surface of area 10 cm2 normally. What would be the thrust and pressure on the surface? (Answer: 1.2 × 106 N/m2)

2) The elephant weighs 20,000 N stands on one foot of area 1000 cm2. How much pressure would it exert on the ground? (Answer:  2,00,000 N/m2.)

3) Calculate the pressure produced by a force of 800 N acting on an area of 2.0 m2. (Answer: 400 Pa)

4) The pressure of a gas contained in a cylinder with a movable piston is 300 Pa. The area of the piston is 0.5 m2. Calculate the force that is exerted on the piston. (Answer: 150 N)

5) A swimming pool of width 9.0 m and length 24.0 m is filled with water to a depth of 3.0 m. Calculate pressure on the bottom of the pool due to the water. (Answer: 29400 Pa)

6) A block weighing 120 N rests on an area of 4 cm2. Calculate the pressure exerted by block on the surface which supports it. (Answer: 300000 Pa)

7) Calculate the pressure produced when a force of 4 N is applied over an area of 2 mm2. (Answer: 2000000 Pa)

8) A brick is 30 cm long, 10 cm wide and 10 cm thick. It weighs 24 N and is lying on the ground. Find the pressure exerted by the brick on the ground. (Answer: 800 Pa)

9) A force of 300 N, while acting on an area A, produces a pressure of 1500 Pa. Calculate the magnitude of A in Cm2. (Answer: 2000 cm2)

10) Find the thrust required to exert a pressure of 50,000 Pa on an area of 0.052 m2.

 (Answer: 2500 N)

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