Question
Download Solution PDFA body of 4.0 kg is lying at rest. Under the action of a constant force, it gains a speed of 5 m/s. The work done by the force will be _______.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
- Work-energy theorem: It states that the sum of work done by all the forces acting on a body is equal to the change in the kinetic energy of the body i.e.,
Work done by all the forces = Kf - Ki
Where v = final velocity, u = initial velocity and m = mass of the body
CALCULATION:
It is given that,
Mass (m) = 4.0 kg
Final Velocity (v) = 5 m/s and initial velocity (u) = 0 m/s
According to the work-energy theorem,
⇒ Work done = Change in K.E
⇒ W = Δ K.E
Since initial speed is zero so the initial KE will also be zero.
⇒ Work done (W) = Final K.E = 1/2 mv2
⇒ W = 1/2 × 4 × 52
⇒ W = 2 × 25
⇒ W = 50 J
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