Momentum (āĻā§°āĻŦā§āĻ)
Momentum (āĻā§°āĻŦā§āĻ)
Momentum is the quantity of motion of an object. It tells how difficult it is to stop a moving object. An object with greater mass or greater speed has greater momentum. If an object has low mass or moves slowly, it has low momentum. If an object has more mass or moves faster, it has high momentum. Therefore, momentum depends on both mass and velocity.
The formula of momentum is: P = mv
Here, P stands for momentum, m stands for mass, and v stands for velocity. The SI unit of momentum is kg·m/s. For example, a fast-moving truck has more momentum than a slowly moving bicycle because the truck has greater mass and speed.
Momentum (āĻā§°āĻŦā§āĻ)
āĻā§āύ⧠āĻŦāϏā§āϤā§ā§° āĻāϤāĻŋā§° āĻĒā§°āĻŋāĻŽāĻžāĻŖāĻ āĻā§°āĻŦā§āĻ āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤ āĻ āĻĻā§āĻā§ā§ąāĻžāϝāĻŧ āϝ⧠āĻāϞāύā§āϤ āĻŦāϏā§āϤ⧠āĻāĻāĻžāĻ āĻĨāĻŽāĻŦāϞ⧠āĻāĻŋāĻŽāĻžāύ āĻāώā§āĻ āĻšāϝāĻŧāĨ¤ āĻ āϧāĻŋāĻ āĻā§° āĻŦāĻž āĻ āϧāĻŋāĻ āĻŦā§āĻ āĻĨāĻāĻž āĻŦāϏā§āϤā§ā§° āĻā§°āĻŦā§āĻā§ āĻ āϧāĻŋāĻ āĻšāϝāĻŧāĨ¤ āϝāĻĻāĻŋ āĻā§āύ⧠āĻŦāϏā§āϤā§ā§° āĻā§° āĻāĻŽ āĻšāϝāĻŧ āĻŦāĻž āϧā§ā§° āĻāϤāĻŋāϤ āĻāϞā§, āϤā§āύā§āϤ⧠āϤāĻžā§° āĻā§°āĻŦā§āĻ āĻāĻŽ āĻšāϝāĻŧāĨ¤ āĻāύāĻšāĻžāϤā§, āĻ āϧāĻŋāĻ āĻā§° āĻŦāĻž āĻ āϧāĻŋāĻ āĻŦā§āĻ āĻĨāĻžāĻāĻŋāϞ⧠āĻā§°āĻŦā§āĻ āĻŦā§āĻāĻŋ āĻšāϝāĻŧāĨ¤ āϏā§āĻāĻŦāĻžāĻŦā§ āĻā§°āĻŦā§āĻ āĻŦāϏā§āϤā§ā§° āĻā§° āĻā§°ā§ āĻŦā§āĻā§° āĻāĻĒā§°āϤ āύāĻŋā§°ā§āĻā§° āĻā§°ā§āĨ¤
āĻā§°āĻŦā§āĻā§° āϏā§āϤā§ā§° āĻšā§āĻā§: P = mv
āĻāϝāĻŧāĻžāϤ, P āĻŽāĻžāύ⧠āĻā§°āĻŦā§āĻ, m āĻŽāĻžāύ⧠āĻā§°, āĻā§°ā§ v āĻŽāĻžāύ⧠āĻŦā§āĻāĨ¤ āĻā§°āĻŦā§āĻā§° SI āĻāĻāĻ āĻšā§āĻā§ kg·m/sāĨ¤ āĻāĻĻāĻžāĻšā§°āĻŖāϏā§āĻŦā§°ā§āĻĒā§, āĻĻā§ā§°ā§āϤāĻāϤāĻŋāϤ āĻāϞāĻž āĻāĻāύ āĻĄāĻžāĻā§° āĻā§ā§°āĻžāĻā§° āĻā§°āĻŦā§āĻ āϧā§ā§°āĻāϤāĻŋāϤ āĻāϞāĻž āĻāĻāύ āĻāĻžāĻāĻā§āϞāϤāĻā§ āĻ āϧāĻŋāĻ āĻšāϝāĻŧ, āĻāĻžā§°āĻŖ āĻā§ā§°āĻžāĻāĻāύ⧰ āĻā§° āĻā§°ā§ āĻŦā§āĻ āĻĻā§āϝāĻŧā§āĻāĻžāĻ āĻ āϧāĻŋāĻāĨ¤
- Momentum: Formula & When to Use Momentum (āĻā§°āĻŦā§āĻā§° āϏā§āϤā§ā§° āĻā§°ā§ āĻŦā§āĻ¯ā§ąāĻšāĻžā§°): Click Here
- Momentum: āĻā§°āĻŦā§āĻ :- Physics Formula Breakdown : āĻĒāĻĻāĻžā§°ā§āĻĨ āĻŦāĻŋāĻā§āĻāĻžāύ⧰ āϏā§āϤā§ā§°ā§° āĻŦāĻŋāĻļā§āϞā§āώāĻŖ : Click Here
- What is Impulse ? : āĻ āĻāĻŋāĻāĻžāϤ : Click Here
- Impulse : āĻ āĻāĻŋāĻāĻžāϤ = Formula & When to Use : āϏā§āϤā§ā§° āĻā§°ā§ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° : Click Here
- Why is impulse important in daily life ? āĻĻā§āύāύā§āĻĻāĻŋāύ āĻā§ā§ąāύāϤ āĻ āĻāĻŋāĻāĻžāϤ āĻāĻŋāϝāĻŧ āĻā§ā§°ā§āϤā§āĻŦāĻĒā§āϰā§āĻŖ ? : Click Here
Momentum – MCQs & Questions (āĻā§°āĻŦā§āĻ – MCQ āĻā§°ā§ āĻĒā§āϰāĻļā§āύā§āϤā§āϤ⧰)
1. What is the SI unit of momentum ? āĻā§°āĻŦā§āĻā§° SI āĻāĻāĻ āĻāĻŋ ?
A) Newton B) Joule C) kg·m/s D) Watt
Ans: C) kg·m/s
Explanation: Momentum = mass × velocity, so unit = kg × m/s. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§°āĻŦā§āĻ = āĻā§° × āĻŦā§āĻ, āϏā§āϝāĻŧā§ āĻāĻāĻ = kg × m/sāĨ¤
2. Momentum depends on: āĻā§°āĻŦā§āĻ āĻāĻŋāĻšā§° āĻāĻĒā§°āϤ āύāĻŋā§°ā§āĻā§° āĻā§°ā§ ?
A) Mass only B) Velocity only C) Mass and velocity D) Shape
Answer: C) Mass and velocity
Explanation: More mass or more velocity gives more momentum. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻ āϧāĻŋāĻ āĻā§° āĻŦāĻž āĻ āϧāĻŋāĻ āĻŦā§āĻā§ āĻ āϧāĻŋāĻ āĻā§°āĻŦā§āĻ āĻĻāĻŋāϝāĻŧā§āĨ¤
3. The formula of momentum is: āĻā§°āĻŦā§āĻā§° āϏā§āϤā§ā§° āĻā§āύāĻā§ ?
A) P = ma B) P = mv C) F = ma D) W = mg
Ans: B) P = mv
Explanation: Momentum is equal to mass multiplied by velocity.
āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§°āĻŦā§āĻ = āĻā§° × āĻŦā§āĻāĨ¤
4. A body at rest has: āϏā§āĻĨāĻŋā§° āĻ ā§ąāϏā§āĻĨāĻžāϤ āĻĨāĻāĻž āĻŦāϏā§āϤ⧠āĻāĻāĻžā§° āĻāĻŋ āĻĨāĻžāĻā§ ?
A) High momentum B) Low momentum C) Zero momentum D) Infinite momentum
Ans: C) Zero momentum
Explanation: A body at rest has zero velocity. So, momentum = mass × 0 = 0. āĻŦā§āϝāĻžāĻā§āϝāĻž: āϏā§āĻĨāĻŋā§° āĻŦāϏā§āϤā§ā§° āĻŦā§āĻ āĻļā§āύā§āϝ āĻšāϝāĻŧāĨ¤ āϏā§āϝāĻŧā§ āĻā§°āĻŦā§āĻ = āĻā§° × ā§Ļ = ā§ĻāĨ¤
5. Which has greater momentum ? āĻāĻžā§° āĻā§°āĻŦā§āĻ āĻ āϧāĻŋāĻ ?
A) Slow bicycle B) Fast truck C) Standing man D) Empty box
Ans: B) Fast truck
Explanation: A truck has large mass and high speed. Therefore, its momentum is greater. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§ā§°āĻžāĻā§° āĻā§° āĻā§°ā§ āĻŦā§āĻ āĻĻā§āϝāĻŧā§āĻāĻžāĻ āĻ āϧāĻŋāĻāĨ¤ āϏā§āϝāĻŧā§ āĻāϝāĻŧāĻžā§° āĻā§°āĻŦā§āĻā§ āĻ āϧāĻŋāĻāĨ¤
6. Momentum is a: āĻā§°āĻŦā§āĻ āĻāĻŋ āϧ⧰āĻŖā§° ā§°āĻžāĻļāĻŋ ?
A) Scalar quantity B) Vector quantity C) Constant quantity D) None
Ans: B) Vector quantity
Explanation: Momentum has both magnitude and direction. Hence, it is a vector quantity. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§°āĻŦā§āĻā§° āĻŽāĻžāύ āĻā§°ā§ āĻĻāĻŋāĻļ āĻĻā§āϝāĻŧā§āĻāĻžāĻ āĻĨāĻžāĻā§āĨ¤ āϏā§āĻāĻŦāĻžāĻŦā§ āĻāϝāĻŧāĻžāĻ āĻā§āĻā§āĻā§° ā§°āĻžāĻļāĻŋ āĻŦā§āϞāĻž āĻšāϝāĻŧāĨ¤
7. If mass doubles and velocity remains same, momentum becomes: āĻā§° āĻĻā§āĻā§āĻŖ āĻā§°ā§ āĻŦā§āĻ āĻāĻā§ āĻĨāĻžāĻāĻŋāϞ⧠āĻā§°āĻŦā§āĻ āĻāĻŋ āĻš’āĻŦ ?
A) Half B) Double C) Triple D) Zero
Ans: B) Double
Explanation: Momentum is directly proportional to mass. If mass becomes double, momentum also becomes double. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§°āĻŦā§āĻ āĻā§°ā§° āϏā§āϤ⧠āϏāĻŽāĻžāύā§āĻĒāĻžāϤāĻŋāĻāĨ¤ āĻā§° āĻĻā§āĻā§āĻŖ āĻšāϞ⧠āĻā§°āĻŦā§āĻā§ āĻĻā§āĻā§āĻŖ āĻšāϝāĻŧāĨ¤
8. A moving object has momentum because of its: āĻāϞāύā§āϤ āĻŦāϏā§āϤ⧠āĻāĻāĻžā§° āĻā§°āĻŦā§āĻ āĻĨāĻžāĻā§ āĻāĻŋāϝāĻŧ ?
A) Colour B) Shape C) Motion D) Temperature
Ans: C) Motion
Explanation: Momentum exists because the object is moving. Without motion, there is no momentum. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻŦāϏā§āϤ⧠āĻāϞāĻŋ āĻĨāĻāĻž āĻŦāĻžāĻŦā§ āĻā§°āĻŦā§āĻ āĻĨāĻžāĻā§āĨ¤ āĻāϤāĻŋ āύāĻžāĻĨāĻžāĻāĻŋāϞ⧠āĻā§°āĻŦā§āĻ āύāĻžāĻĨāĻžāĻā§āĨ¤
9. Which quantity is directly proportional to momentum ? āĻā§°āĻŦā§āĻ āĻāĻŋāĻšā§° āϏā§āϤ⧠āϏāĻŽāĻžāύā§āĻĒāĻžāϤāĻŋāĻ ?
A) Mass B) Velocity C) Both mass and velocity D) Density
Answer: C) Both mass and velocity
Explanation: Increasing either mass or velocity increases momentum. āĻŦā§āϝāĻžāĻā§āϝāĻž: āĻā§° āĻŦāĻž āĻŦā§āĻ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϞ⧠āĻā§°āĻŦā§āĻā§ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤
10. Calculate momentum of a body of mass 2 kg moving with velocity 3 m/s. (2 kg āĻā§°ā§° āĻŦāϏā§āϤ⧠3 m/s āĻŦā§āĻā§ āĻāϞāĻŋāϞ⧠āĻā§°āĻŦā§āĻ āĻāĻŋāĻŽāĻžāύ ?)
A) 5 kg·m/s B) 6 kg·m/s C) 7 kg·m/s D) 8 kg·m/s
Ans: B) 6 kg·m/s
Explanation: Given(āĻĻāĻŋāϝāĻŧāĻž āĻāĻā§,), Mass(āĻā§°) = 2 kg, Velocity(āĻŦā§āĻ) = 3 m/s
P = mv
2 × 3 = 6 kg·m/s
11. A body of mass 2 kg moves with velocity 4 m/s. Find momentum. (2 kg āĻā§°ā§° āĻāĻāĻž āĻŦāϏā§āϤ⧠4 m/s āĻŦā§āĻā§ āĻāϞāĻŋāĻā§āĨ¤ āĻā§°āĻŦā§āĻ āύāĻŋā§°ā§āĻŖāϝāĻŧ āĻā§°āĻžāĨ¤)
Soln / āϏāĻŽāĻžāϧāĻžāύ
Formula / āϏā§āϤā§ā§° : P = mv {Momentum = mass × velocity (āĻā§°āĻŦā§āĻ = āĻā§° × āĻŦā§āĻ)}
Put the values / āĻŽāĻžāύ āĻŦāϏā§ā§ąāĻž : Mass (m) = 2 kg, Velocity (v) = 4 m/s
P = mv = 2 × 4 = 8 kg·m/s
Ans / āĻāϤā§āϤ⧰: Momentum = 8 kg·m/s (āĻā§°āĻŦā§āĻ = 8 kg·m/s)
Important Point / āĻā§ā§°ā§āϤā§āĻŦāĻĒā§āϰā§āĻŖ āĻāĻĨāĻž : Momentum increases with mass and speed. (āĻā§° āĻā§°ā§ āĻŦā§āĻ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϞ⧠āĻā§°āĻŦā§āĻā§ āĻŦā§āĻĻā§āϧāĻŋ āĻĒāĻžāϝāĻŧāĨ¤)