Question

kinetic energy of 35 J and a mass of 34 kg, how fast is the object moving? *

Answer 1

KINETIC ENERGY

Problem:

» Kinetic energy of 35 J and a mass of 34 kg, how fast is the object moving?

Answer:

• $\color{hotpink}\tt1.435 \: m/s$

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Formula:

To calculate the velocity of a kinetic energy, we can use formula

• $\underline{ \boxed{ \tt v = \frac{ \sqrt{KE} }{ \frac{1}{2} \times m} }}$

where,

• v is the velocity in m/s
• KE is the kinetic energy in J (joules)
• m is the mass in kg

Based on the problem, the givens are:

• KE (Kinetic energy) = 35 J
• m (mass) = 34 kg
• v (velocity) = ? (unknown)

Solution:

To get the velocity, substitute the givens in the formula above then solve.

• $\tt v = \frac{ \sqrt{KE} }{ \frac{1}{2} \times m}$

• $\tt v = \frac{ \sqrt{35} }{ \frac{1}{2} \times 34}$

• $\tt v = \frac{ \sqrt{35} }{17}$

• $\tt v = \sqrt{v = 2.0588235294118}$

• $\tt v = \underline{ \boxed{\blue{\tt1.435 \: m/s}}}$

Therefore, the velocity is 1.435 m/s.