**Kinetic energy** is a form of energy that an entity or particle possesses due to its motion.

The relation between the object's mass and its speed.

KE = \frac{1}{2} mv^2

Step 1: Calculating the kinetic energy required to accelerate the block

Given that

Mass of the block = 2 kg

Final speed v_f = 5 m/s

At the rest, Initial kinetic energy is zero KE_i = 0

At the end, Final kinetic energy KE_f = \frac{1}{2} mv_f^2

KE_f = \frac{1}{2}(2kg)(5m/s)^2

KE_f = 25 kg m^s/s^2

Final kinetic energy KE_f = 25 joules

The amount of energy needed to accelerate a block = Change in kinetic energy

Change in kinetic energy \Delta KE =KE_f - KE_i

\Delta KE = 25 \text{ joules } - 0 \text{ joules }

\Delta KE = 25 \text{ joules }

Therefore, the amount of energy required to accelerate the block, \Delta KE = 25 \text{ joules }