A body is moving with a velocity 1 ms-1- a force F is needed to stop it within a distance x- If the speed of the body is 3 ms-1- the force needed to stop it with in the same distance -x- will be-6F1-5F3F9F

Question

A body is moving with a velocity 1  ms-1- a force F is needed to stop it within a distance x- If the speed of the body is 3  ms-1- the force needed to stop it with in the same distance -x- will be-6F1-5F3F9F

Toppr Admin · Accepted Answer

Work done by force Fx-12mv2 Given v-1-xA0-m-s-x21D2-Fx-12mNow- suppose force needed to stop the same body moving at 3m-s- is f-Using force energy theorem-x21D2-fx-129m-x21D2-f-9F

A body is moving with a velocity $1 m s^{- 1}$ a force $F$ is needed to stop it within a distance $x$ . If the speed of the body is $3 m s^{- 1}$ , the force needed to stop it with in the same distance ( $x$ ) will be:
$6 F$
$1.5 F$
$3 F$
$9 F$

Work done by force $F x = \frac{1}{2} m v^{2}$ Given $v = 1 m / s$
$\Rightarrow F x = \frac{1}{2} m$
Now, suppose force needed to stop the same body moving at $3 m / s$ , is $f$ .
Using force energy theorem:
$\Rightarrow f x = \frac{1}{2} 9 m$
$\Rightarrow f = 9 F$

A body is moving with a velocity 1 ms−1 a force F is needed to stop it within a distance x. If the speed of the body is 3 ms−1, the force needed to stop it with in the same distance (x) will be:6F1.5F3F9F

Work done by force Fx=12mv2 Given v=1 m/s⇒Fx=12mNow, suppose force needed to stop the same body moving at 3m/s, is f.Using force energy theorem:⇒fx=129m⇒f=9F

A body is moving with a velocity $1 m s^{- 1}$ a force $F$ is needed to stop it within a distance $x$ . If the speed of the body is $3 m s^{- 1}$ , the force needed to stop it with in the same distance ( $x$ ) will be:
$6 F$
$1.5 F$
$3 F$
$9 F$

Work done by force $F x = \frac{1}{2} m v^{2}$ Given $v = 1 m / s$
$\Rightarrow F x = \frac{1}{2} m$
Now, suppose force needed to stop the same body moving at $3 m / s$ , is $f$ .
Using force energy theorem:
$\Rightarrow f x = \frac{1}{2} 9 m$
$\Rightarrow f = 9 F$