A force acting on a body of mass 5 kg is (4 | vedclass

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

Question

(A) Given: Mass $m = 5 \ kg$,Force $\vec{F} = (4 \hat{i} - 2 \hat{j} + 3 \hat{k}) \ N$,Initial velocity $\vec{u} = 0$,Time $t = 10 \ s$.Using Newton's

Vedclass · Accepted Answer

$2 \sqrt{29}$

Vedclass · Answer

(A) Given: Mass $m = 5 \ kg$,Force $\vec{F} = (4 \hat{i} - 2 \hat{j} + 3 \hat{k}) \ N$,Initial velocity $\vec{u} = 0$,Time $t = 10 \ s$.Using Newton's second law,acceleration $\vec{a} = \frac{\vec{F}}{m} = \frac{4 \hat{i} - 2 \hat{j} + 3 \hat{k}}{5} = (0.8 \hat{i} - 0.4 \hat{j} + 0.6 \hat{k}) \ m/s^2$.Using the equation of motion $\vec{v} = \vec{u} + \vec{a}t$:$\vec{v} = 0 + (0.8 \hat{i} - 0.4 \hat{j} + 0.6 \hat{k}) 	imes 10 = (8 \hat{i} - 4 \hat{j} + 6 \hat{k}) \ m/s$.The magnitude of velocity is $|\vec{v}| = \sqrt{8^2 + (-4)^2 + 6^2} = \sqrt{64 + 16 + 36} = \sqrt{116} \ m/s$.$|\vec{v}| = \sqrt{4 	imes 29} = 2 \sqrt{29} \ m/s$.

$A$ force acting on a body of mass $5 \ kg$ is $(4 \hat{i} - 2 \hat{j} + 3 \hat{k}) \ N$. If the body is initially at rest,then the magnitude of its velocity at the end of $10 \ s$ in $m/s$ will be:

Similar Questions

$A$ body of mass $2\, kg$ travels according to the law $x = at + bt^2 + ct^3$,where $a = 3\, m/s$,$b = 4\, m/s^2$,and $c = 5\, m/s^3$. The force acting on the body at $t = 2\, s$ is ......... $N$.

The ratio of the change in linear momentum to the time taken for this change represents which physical quantity?

$A$ body under the action of a force $\vec{F} = 6\hat{i} - 8\hat{j} \text{ N}$ acquires an acceleration of $5 \text{ m s}^{-2}$. The mass of the body is ........ $\text{kg}$.

$A$ force of $6 \; N$ acts on a body at rest and of mass $1 \; kg$. During this time,the body attains a velocity of $30 \; m/s$. The time for which the force acts on the body is ..... $seconds$.

What is the mass of an object whose weight is $1\,N$ (in $,kg$)?

Vedclass Test Series

Exam Paper Generator

Online Exam Module