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Concepts Of Physics MCQ Edition [Volume 1]

Exam: Concepts Of Physics MCQ Edition [Volume 1]
Subject: Physics
Chapter: Work and Energy

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Work and Energy

A block of mass 2.00 kg travelling at a speed of 10.0 m/s...

A block of mass

2.00 \text{ kg}

travelling at a speed of

10.0 \text{ m/s}

accelerates at

3.00 \text{ m/s}^2

for

5.00 \text{ s}

. Determine its final kinetic energy.

Options

A $225 \text{ J}$
B $100 \text{ J}$
C $625 \text{ J}$
D $1250 \text{ J}$

Correct answer

C. $625 \text{ J}$

Step-by-step solution

Given initial velocity

u = 10.0 \text{ m/s}

, acceleration

a = 3.00 \text{ m/s}^2

, and time

t = 5.00 \text{ s}

.

Using the first equation of motion, the final velocity

v

is:

v = u + at

v = 10.0 + (3.00)(5.00) = 25.0 \text{ m/s}

The final kinetic energy

K

is given by:

K = \dfrac{1}{2}mv^2

K = \dfrac{1}{2}(2.00)(25.0)^2

K = 625 \text{ J}

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