Two bodies,one held 1 , m vertically above th | vedclass

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

Question

(A) Let the two bodies be $A$ and $B$. Body $A$ is $1 \, m$ above body $B$.Both bodies are released simultaneously and fall freely under gravity,meani

Vedclass · Accepted Answer

$1$

Vedclass · Answer

(A) Let the two bodies be $A$ and $B$. Body $A$ is $1 \, m$ above body $B$.Both bodies are released simultaneously and fall freely under gravity,meaning their initial velocity $u = 0 \, m/s$ and acceleration $a = g = 9.8 \, m/s^2$ are the same for both.The position of body $A$ at time $t$ is given by $y_A = y_{A,0} + ut + \frac{1}{2}gt^2$.The position of body $B$ at time $t$ is given by $y_B = y_{B,0} + ut + \frac{1}{2}gt^2$.The relative separation between the bodies at any time $t$ is given by $|y_A - y_B| = |(y_{A,0} + ut + \frac{1}{2}gt^2) - (y_{B,0} + ut + \frac{1}{2}gt^2)|$.This simplifies to $|y_A - y_B| = |y_{A,0} - y_{B,0}|$.Since the initial vertical separation $|y_{A,0} - y_{B,0}|$ is $1 \, m$,the relative separation remains constant at $1 \, m$ regardless of the time elapsed,as both bodies experience the same acceleration due to gravity.

Two bodies,one held $1 \, m$ vertically above the other,are released simultaneously and fall freely under gravity. After $2 \, s$,the relative separation of the bodies will be: (in $, m$)

Similar Questions

What is the name given to the path followed by a projectile?

State whether the following statement is True or False:
The value of $g$ is zero at the centre of the earth.

$(a)$ What do you mean by free fall?
$(b)$ What happens to the direction of motion of objects during free fall?
$(c)$ $A$ stone is dropped from a height of $19.6 \, m$. Calculate:
$(i)$ Time taken to fall.
$(ii)$ How fast does it move at the end of this fall?
$(iii)$ Acceleration after $1 \, s$.

Why is the value of $g$ greater at the poles than at the equator?

What is weightlessness?

Vedclass Test Series

Exam Paper Generator

Online Exam Module