Answer:
Work done = 4 J
Final Kinetic Energy = 4 J
Explanation:
From the question,
Work done = force × distance
W = F×d................... Equation 1
Given: F = 4.0 N, d = 1.0 meter.
Substitute these values into equation 1
W = 4×1
W = 4 Joules.
Also,
Kenetic Energy = 1/2 × mass × velocity×velocity.
K.E = 1/2(mv²)........... (2).
But,
F = ma
Where F = 4 N, m = 1 kg.
a = 4/1 = 4 m/s².
Using,
v² = u² + 2as............. Equation 3
Where u = 0 m/s, a = 4 m/s², s = 1 m.
Substitute into equation 3
v² = 0² +2×4×1
v² = 8
v = √8 m/s.
Substitutting into equation 2
K.E = 1/2(1)(√8)²
K.E = 1/2(8)
K.E = 4 J.
Hence the work done and the Final Kinetic energy are thesame = 4 J
