How much work must be done by a force on $50$ $k g$ body in order to accelerate it from rest to $20 m / s$ in $10$ $s$ ?

Question

How much work must be done by a force on 50 kg body in order to accelerate it from rest to 20 m-s in 10 s -10-3 J10-4 J2times 10-3 J4times 10-4 J

Toppr Admin · Accepted Answer

Acceleration that causes the given rise in speed in given time - a-vt-20-xA0-m-s10-xA0-s-2-xA0-m-s2Thus- force acting on the body - F-ma-100-xA0-NDistance travelled in the given time - s-12at2-100-xA0-m

How much work must be done by a force on $50$ $k g$ body in order to accelerate it from rest to $20 m / s$ in $10$ $s$ ?
$10^{3}$ $J$
$10^{4}$ $J$
$2 \times 10^{3}$ $J$
$4 \times 10^{4}$ $J$

Acceleration that causes the given rise in speed in given time = $a = \frac{v}{t} = \frac{20 m / s}{10 s} = 2 m / s^{2}$
Thus, force acting on the body = $F = m a = 100 N$
Distance travelled in the given time = $s = \frac{1}{2} a t^{2} = 100 m$

How much work must be done by a force on 50 kg body in order to accelerate it from rest to 20 m/s in 10 s ?103 J104 J2×103 J4×104 J

Acceleration that causes the given rise in speed in given time = a=vt=20 m/s10 s=2 m/s2Thus, force acting on the body = F=ma=100 NDistance travelled in the given time = s=12at2=100 m

How much work must be done by a force on $50$ $k g$ body in order to accelerate it from rest to $20 m / s$ in $10$ $s$ ?
$10^{3}$ $J$
$10^{4}$ $J$
$2 \times 10^{3}$ $J$
$4 \times 10^{4}$ $J$

Acceleration that causes the given rise in speed in given time = $a = \frac{v}{t} = \frac{20 m / s}{10 s} = 2 m / s^{2}$
Thus, force acting on the body = $F = m a = 100 N$
Distance travelled in the given time = $s = \frac{1}{2} a t^{2} = 100 m$