An ice skater, who has a mass of 70 kg has 1500 J of Kinetic Energy. What is the velocity of the skater?

Question

Quizplus · Accepted Answer

Kinetic Energy is the energy an object possesses because of its velocity. Any object that is in motion is using kinetic energy: a child running, a thrown ball, someone skiing down a hill, or a book falling off of a shelf. This is why the equation takes into account the object's mass and the rate at which they are traveling (their velocity). KE = ½ x mv² KE = Kinetic energy (expressed in Joules - J) m = mass (expressed in kilograms) v² = velocity (expressed in meters per second squared) To find the velocity we must isolate it: 2 x KE = 2 x ½ x mv² 2 x KE = mv² 2 x KE / m = mv² / m 2 x KE / m = v² m = 70 kg KE = 1500 J v² = 2 x 1500 J / 70 kg = 42.85 m²/s² We then take the square root of this and v = 6.54 m/s *Don't forget that the velocity is squared*

An Ice Skater, Who Has a Mass of 70 Kg