What is the kinetic energy of a 3-kg (mass) ball that is rolling 2m/s(velocity)?K.E.= 1/2(m x v²). Created by santosjrarmando02. Science

2(m x v²)...

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santosjrarmando02 @santosjrarmando02

October 2022 1 8 Report

What is the kinetic energy of a 3-kg (mass) ball that is rolling 2m/s(velocity)?K.E.= 1/2(m x v²)

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tintin3510

Verified answer

Kinetic Energy

Given:

mass (m) = 3 kg

velocity (v) = 2 m/s

Asked: kinetic energy (KE)

Formula/Equation: KE = $\frac{1}{2}$ m $v^{2}$

Solution:

KE = $\frac{1}{2}$ m $v^{2}$

KE = $\frac{1}{2}$ (3 kg) (2 m/s)^2

KE = $\frac{1}{2}$ (3 kg) (4 $m^{2}$ / $s^{2}$ )

KE = (0.5) (3 kg) (4 $m^{2}$ / $s^{2}$ )

KE = 6 kg $m^{2}$ / $s^{2}$ or 6 Nm or 6 J

Answer:

Kinetic Energy = 6J

Explanation:

Kinetic Energy is the energy of a moving object. This kinetic energy is affected by two factors, namely, mass and velocity. Specifically, the kinetic energy is directly proportional to the square of the speed of the object. An increase in speed means a twofold increase in the kinetic energy. It is represented by the equation:

KE = $\frac{1}{2}$ m $v^{2}$

Also, kinetic energy is a scalar quantity, that is, the direction is not included. Its unit is in Joules which is equivalent to Newton-meter (Nm) or kg $m^{2}$ / $s^{2}$ .

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