a ball has a kinetic energy of 106 j. if the ball is moving at a velocity of 4.31 m/s, what is the mass of the ball, in kilograms?



Answer :

Answer:

11.4 kg

Explanation:

kinetic energy = ½mv²

where v is speed and speed is 4.31 m/s,

½×m×(4.31)² = 106

(1)m×(4.31)² = 106×2

(2)m = (106×2) ÷ (4.31)² = 11.41251393 ≈ 11.4 kg

further details

(1)multiply 2 on both sides if the equation to remove the ½

(2)divide both sides by 4.31² to remove 4.31² from the mass

since all values used in calculation are in SI units (speed is in m/s and mass in formula is in kg), the final answer is already in kilograms.