Initial velocity of a particle of mass 2,kg is (4 hat{ i }+4 hat{ j }),m / s . A constant force of -

English

Gujarati

Hindi

3-2.Motion in Plane

medium

The initial velocity of a particle of mass $2\,kg$ is $(4 \hat{ i }+4 \hat{ j })\,m / s$. A constant force of $-20 \hat{ j }\,N$ is applied on the particle. Initially, the particle was at $(0,0)$. Find the $x$-coordinate of the point where its $y$-coordinate is again zero.$..........\,m$

A

$3.2$

B

$6$

C

$4.8$

D

$1.2$

Solution

(a)

Comparing with projectile motion we can see that it is like a projectile motion with $u_x=4\,m / s , u_y=4\,m / s$ and $a_y=10\,m / s ^2$.

$x \text {-coordinate }=\text { range }=\frac{2 u_x u_y}{g}$

$=\frac{2 \times 4 \times 4}{10}=3.2\,m$

Standard 11

Physics

Share

Similar Questions

A projectile fired at $30^{\circ}$ to the ground is observed to be at same height at time $3 s$ and $5 s$ after projection, during its flight. The speed of projection of the projectile is $………\,ms ^{-1}$(Given $g=10\,m s ^{-2}$ )

hard

(JEE MAIN-2023)

A ball is thrown upwards and it returns to ground describing a parabolic path. Which of the following remains constant

easy

If a stone is to hit at a point which is at a distance $d$ away and at a height $h$ above the point from where the stone starts, then what is the value of initial speed $u$ if the stone is launched at an angle $\theta $ ?

hard

A projectile is projected at $30^{\circ}$ from horizontal with initial velocity $40\,ms ^{-1}$. The velocity of the projectile at $t =2\,s$ from the start will be $……..$ (Given $g =10\,m / s ^2$ )

medium

(JEE MAIN-2023)

A particle moving in a circle of radius $R$ with a uniform speed takes a time $T$ to complete one revolution. If this particle were projected with the same speed at an angle ' $\theta$ ' to the horizontal, the maximum height attained by it equals $4 \mathrm{R}$. The angle of projection, $\theta$, is then given by

medium

(NEET-2021)