Question

A body is moving with a velocity of 10m/s with a constant acceleration af 0.5m/s^2 by a force of 18Newtons. calculate the work done by this force..​

Answer 1

Explanation:

• Initial Velocity u = 0
• Final Velocity v = 10 m/s
• Acceleration a = 0.5m/s²
• Force F = 18 N

Work done = Force × displacement

• W = F . S
• By 3rd Equation of Motion

${v}^{2} - {u}^{2} = 2as$

$s \: = \frac{ {v}^{2} - {u}^{2} }{2a}$

$s \: = \frac{ {10}^{2} - {0}^{2} }{2 \times 0.5}$

$s \: = 100 \: m$

$w \: = f .\: s$

$w \: = 18 \times 100$

$w \: = 1800 \: joule$