The momentum p of an object varies with time | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(A) According to Newton's second law of motion,the force $F$ is given by the rate of change of momentum:$F = \frac{dp}{dt}$This means the force $F$ is

Vedclass · Accepted Answer

Vedclass · Answer

(A) According to Newton's second law of motion,the force $F$ is given by the rate of change of momentum:$F = \frac{dp}{dt}$This means the force $F$ is equal to the slope of the $p-t$ graph.$1$. From $t = 0$ to $t = 2 \ s$,the momentum increases linearly from $0$ to $10 \ kg \ m/s$. The slope is constant and positive:$F = \frac{10 - 0}{2 - 0} = 5 \ N$$2$. From $t = 2$ to $t = 6 \ s$,the momentum is constant at $10 \ kg \ m/s$. The slope is zero:$F = \frac{10 - 10}{6 - 2} = 0 \ N$$3$. From $t = 6$ to $t = 8 \ s$,the momentum decreases linearly from $10$ to $0 \ kg \ m/s$. The slope is constant and negative:$F = \frac{0 - 10}{8 - 6} = -5 \ N$Comparing these values with the given options,the graph in Option $A$ correctly represents these force values over time.

The momentum $p$ of an object varies with time $(t)$ as shown in the figure. The corresponding force $(F)$-time $(t)$ graph is

Similar Questions

The figure shows the position-time $(x-t)$ graph of one-dimensional motion of a body of mass $0.4 \; kg$. The magnitude of each impulse is:

How can we draw a two-object $FBD$ (Free Body Diagram) according to Newton's third law?

$A$ ball of mass $150\,g$ starts moving with an acceleration of $20\,m/s^2$. When hit by a force,which acts on it for $0.1\,s$. The impulsive force is ........ $N-s$.

Force is the mutual interaction between the bodies according to:

In the figure,the position-time graph of a particle of mass $0.1\, kg$ is shown. The impulse at $t = 2\, s$ is ......... $kg\, m/s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module