A charged particle of mass m = 2 kg and char | vedclass

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

Question

(A) The horizontal acceleration due to the electric field is $a_x = \frac{qE}{m} = \frac{10^{-6} 	imes 2 	imes 10^7}{2} = 10 \ ms^{-2}$.The time of

Vedclass · Accepted Answer

$20$

Vedclass · Answer

(A) The horizontal acceleration due to the electric field is $a_x = \frac{qE}{m} = \frac{10^{-6} 	imes 2 	imes 10^7}{2} = 10 \ ms^{-2}$.The time of flight $T$ is determined by the vertical motion: $T = \frac{2u \sin 	heta}{g} = \frac{2 	imes 10 	imes \sin 45^{\circ}}{10} = \frac{2 	imes 10 	imes \frac{1}{\sqrt{2}}}{10} = \sqrt{2} \ s$.The horizontal range $R$ is given by the kinematic equation $R = u_x T + \frac{1}{2} a_x T^2$.Here,$u_x = u \cos 45^{\circ} = 10 	imes \frac{1}{\sqrt{2}} = \frac{10}{\sqrt{2}} \ ms^{-1}$.Substituting the values: $R = (\frac{10}{\sqrt{2}}) 	imes \sqrt{2} + \frac{1}{2} 	imes 10 	imes (\sqrt{2})^2$.$R = 10 + \frac{1}{2} 	imes 10 	imes 2 = 10 + 10 = 20 \ m$.

Similar Questions

$A$ particle is moving in a circular path. The acceleration and momentum vectors at an instant of time are $\vec{a} = 2 \hat{i} + 3 \hat{j} \ m/s^2$ and $\vec{p} = 6 \hat{i} + 4 \hat{j} \ kg \cdot m/s$. Then the motion of the particle is

The diameter of a car wheel is $60 \ cm$. How many radians of angular displacement will the wheel have undergone while the car travels a distance of $1.2 \ km$?

Balls $A$ and $B$ are thrown from two points lying on the same horizontal plane separated by a distance of $120\,m$. Which of the following statement$(s)$ is/are correct?

$A$ body of mass $0.6 \, kg$ is moving along a circular path of radius $1 \, m$. If the body moves with $\frac{900}{\pi}$ revolutions per minute, its kinetic energy is: (in $ \, J$)

The velocities of two particles $A$ and $B$,separated by a distance of $20 \ m$,are as shown in the figure. Find the angular velocity of $B$ with respect to $A$ in $rad/s$.

Vedclass Test Series

Exam Paper Generator

Online Exam Module