Question

A truck of mass $5\times {10}^{3}kg$ starting from rest travels a distance of $0.5km$ in $10s$ when a force is applied on it. Calculate the force applied.

• A. $25\times {10}^{4}N$
• B. $2.5\times {10}^{4}N$
• C. $5\times {10}^{2}N$
• D. $5\times {10}^{4}N$

Answer 1

The correct option is D $5\times {10}^{4}N$

Here truck has initial velocity of 0 m/sec and travelled a distance of 0.5 Km which is also equal to 500 m in 10 seconds.
$s=ut+0.5a{t}^2$
$s=0\times 10+0.5\times a\times {10}^2$
$500=0.5\times a\times 100$
$a=10m/s^2$
Truck has a mass of 5000 Kg
$F=m\times a$
$F=5000\times 10N$
$F=5\times {10}^{4}N$.
Hence force is $5\times {10}^{4}N$.