Pete Zaria applies a 4.0-N force to a 1.0-kg mug of root beer to accelerate it over a distance of 1.0-meter along the countertop. Determine the work done by Pete on the mug and the mug's final kinetic energy and final velocity. PSYW

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