A force vec F = (5hat i + 3hat j) N is appli | vedclass

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

Question

(B) The work done $W$ by a constant force $\vec F$ during a displacement $\vec s$ is given by the dot product of the force and displacement vectors:$W

Vedclass · Accepted Answer

$+ 7$

Vedclass · Answer

(B) The work done $W$ by a constant force $\vec F$ during a displacement $\vec s$ is given by the dot product of the force and displacement vectors:$W = \vec F \cdot \vec s$Given $\vec F = (5\hat i + 3\hat j) \ N$ and $\vec s = (2\hat i - 1\hat j) \ m$.$W = (5\hat i + 3\hat j) \cdot (2\hat i - 1\hat j)$Using the dot product properties $\hat i \cdot \hat i = 1$,$\hat j \cdot \hat j = 1$,and $\hat i \cdot \hat j = 0$:$W = (5 	imes 2) + (3 	imes -1)$$W = 10 - 3$$W = 7 \ J$Therefore,the correct option is $B$.

$A$ force $\vec F = (5\hat i + 3\hat j) \ N$ is applied to a particle,which displaces it from its original position to the point $\vec s = (2\hat i - 1\hat j) \ m$. The work done on the particle is ......... $J$.

Similar Questions

$A$ body moves a distance of $10 \, m$ along a straight line under the action of a force of $5 \, N$. If the work done is $25 \, J$,the angle which the force makes with the direction of motion of the body is.....$^o$

$A$ block of mass $M$ is pulled a distance $x$ on a horizontal table. The work done by the weight (gravitational force) is:

$A$ man starts walking from a point on the surface of the Earth (assumed smooth) and reaches the diagonally opposite point. What is the work done by him?

Calculate the work done by a car against gravity in moving along a straight horizontal road. The mass of the car is $400\,kg$ and the distance moved is $2\,m$. (in $,J$)

Which of the following is a scalar quantity?

Vedclass Test Series

Exam Paper Generator

Online Exam Module