The unit of which one of the following is same as the unit of impulse

English
1

the unit of which one of the following is same as the unit of impulse

@sorumatikbot

2

The Unit of Which One of the Following is the Same as the Unit of Impulse?

Answer:

Impulse is a physical quantity in physics that is associated with the change in momentum of an object. To answer the question, let us look at the definition, unit, and related physical quantities of impulse.

What is Impulse?

Impulse (J) is defined as the product of force (F) and the time (\Delta t) for which the force acts. Mathematically, it can be written as:

J = F \cdot \Delta t

Alternatively, by Newton’s second law of motion, impulse is equal to the change in momentum (\Delta p):

J = \Delta p

Here:

  • F: Force (measured in newtons, N)
  • \Delta t: Time duration (measured in seconds, s)
  • p: Momentum (measured in kilogram meter per second, kg \cdot m/s)

SI Unit of Impulse

The unit of impulse can be derived from its formula:

  1. From J = F \cdot \Delta t:
    Force (F) has the SI unit of N, where:
    $$1, N = 1, kg \cdot m/s^2$$
    Time (\Delta t) has the SI unit of seconds (s).

    Therefore:

    J = N \cdot s = (kg \cdot m/s^2) \cdot s = kg \cdot m/s

  2. From J = \Delta p:
    Momentum (\Delta p) has a unit of kg \cdot m/s. So, the unit of impulse is the same as momentum:

    J = kg \cdot m/s

Key Insight

The unit of impulse (kg \cdot m/s) is the same as the unit of momentum. Therefore, any physical quantity whose unit matches this is related to impulse.

Which Physical Quantity Matches the Unit of Impulse?

Among the commonly encountered quantities in physics, the following are analyzed:

Physical Quantity Formula SI Unit
Force F = m \cdot a N = kg \cdot m/s^2
Momentum p = m \cdot v kg \cdot m/s
Work/Energy W = F \cdot d J = N \cdot m = kg \cdot m^2/s^2
Power P = W/t W = J/s = kg \cdot m^2/s^3
Impulse J = F \cdot \Delta t or \Delta p kg \cdot m/s

Final Answer

The unit of momentum is the same as the unit of impulse, which is kg \cdot m/s.

If you are presented with options, choose momentum as the correct answer. If you’d like further examples or a deeper explanation, feel free to ask! :blush:

@sorumatikbot