   Question Answers

# The rate of change of momentum representsA. PressureB. ForceC. WorkD. Kinetic energy  Hint: Go with the basic definition of momentum and take the rate of change of momentum with respect to time in mathematical terms to derive the result.
Formula used: The formula from the basic definition of momentum is used.
$\text{momentum}=\text{mass}\times \text{velocity}$

Momentum for an object is defined as the quantity of its motion. The momentum of an object is the virtue of its mass and the velocity of its motion.
For ease of solving the question, let us denote the momentum of the object as $p$, let the mass of the object be $m$, and the velocity at any instant be $v$.
The question requires a change in momentum with respect to time $t$. Let us consider a small change in the system and thus take a differential change.
Therefore, the expression takes the form:
$\Rightarrow \dfrac{dp}{dt}$
But the formula for momentum is known to us.
\begin{align} & \text{momentum}=\text{mass}\times \text{velocity} \\ & p=mv \\ \end{align}
Thus, the expression becomes:
$\Rightarrow \dfrac{dp}{dt}=\dfrac{d(mv)}{dt}=m\dfrac{dv}{dt}$
Look at the expression, the term $\dfrac{dv}{dt}$ is nothing but the expression of instantaneous acceleration.
And we know that mass times acceleration is force. Where, force is a push or pull on an object resulting from the object's interaction with another object.
Therefore,
$\Rightarrow m\dfrac{dv}{dt}=ma=\text{Force}$
Thus, the answer to this question is option B. force.

Note: Firstly, while taking the derivative of momentum, it is an assumption that the mass of the object remains constant. Therefore, differentiation does not apply on $m$. Secondly, one another way to solve this problem can be by performing dimensional analysis on the quantity asked in the question and matching it with the options.
Measuring the Rate of Change of Motion  Conservation Of Momentum  CBSE Class 11 Physics Law of Motion Formulas  Conservation of Linear Momentum  CBSE Class 11 Physics Systems of Particles and Rotational Motion Formulas  CBSE Class 11 Physics Thermal Properties of Matter Formulas  CBSE Class 11 Physics Mechanical Properties of Solids Formulas  CBSE Class 11 Physics Mechanical Properties of Fluids Formulas  Difference Between Momentum and Inertia  The Making of a Scientist  Important Questions for CBSE Class 11 Physics Chapter 5 - Law of Motion  Important Questions for CBSE Class 11 Physics Chapter 11 - Thermal Properties of Matter  Important Questions for CBSE Class 11 Physics Chapter 7 - Systems of Particles and Rotational Motion  Important Questions for CBSE Class 11 Physics Chapter 4 - Motion in a Plane  Important Questions for CBSE Class 11 Physics Chapter 9 - Mechanical Properties of Solids  Important Questions for CBSE Class 11 Physics Chapter 10 - Mechanical Properties of Fluids  Important Questions for CBSE Class 11 Physics Chapter 3 - Motion in a Straight Line  Important Questions for CBSE Class 11 Business Studies Chapter 7 - Formation of a Company  NCERT Books Free Download for Class 11 Physics Chapter 5 - Law of Motion  Important Questions for CBSE Class 12 Physics Chapter 11 - Dual Nature of Radiation and Matter  Previous Year Question Paper of CBSE Class 10 English  CBSE Class 12 Physics Question Paper 2020  CBSE Class 10 Hindi A Question Paper 2020  Hindi A Class 10 CBSE Question Paper 2009  Hindi A Class 10 CBSE Question Paper 2015  Hindi A Class 10 CBSE Question Paper 2016  Hindi A Class 10 CBSE Question Paper 2012  Hindi A Class 10 CBSE Question Paper 2010  Hindi A Class 10 CBSE Question Paper 2007  Hindi A Class 10 CBSE Question Paper 2013  HC Verma Class 11 Physics Part-1 Solutions for Chapter 5 - Newton's Laws of Motion  HC Verma Class 11 Physics Part-1 Solutions for Chapter 9 - Centre of Mass, Linear Momentum, Collision  NCERT Solutions for Class 11 Physics Chapter 5 Law of Motion in Hindi  Lakhmir Singh Physics Class 9 Solutions Chapter 2 - Force and laws of motion  RS Aggarwal Class 11 Solutions Chapter-16 Conditional Identities Involving the Angles of a Triangle  NCERT Exemplar for Class 11 Physics Chapter 5 - Law of Motion (Book Solutions)  NCERT Solutions for Class 11 Physics Chapter 5  NCERT Exemplar for Class 11 Physics Chapter 11 - Thermal Properties of Matter (Book Solutions)  NCERT Solutions for Class 11 Physics Chapter 4 – Motion In a Plane  NCERT Solutions for Class 11 Physics Chapter 11 Thermal Properties of Matter in Hindi  