Using Potential and Kinetic Energy Quick Check

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Question
Nan’s suitcase is on a bench. The suitcase has a mass of 14 kilograms. Nan accidentally knocks the suitcase off the bench, and the suitcase falls at a speed of 2.7 meters per second. How much kinetic energy does the suitcase have just before it hits the floor?

KE=12mv2
(1 point)
Responses

204.12 J
204.12 J

18.9 J
18.9 J

102.06 J
102.06 J

51.03 J

The correct answer is 102.06 J.

To calculate the kinetic energy, you can use the formula KE = 1/2mv^2, where m is the mass of the object and v is the velocity of the object.

Plugging in the given values:
m = 14 kg
v = 2.7 m/s

KE = 1/2 * 14 kg * (2.7 m/s)^2
KE = 1/2 * 14 kg * 7.29 m^2/s^2
KE = 51.03 J

Therefore, the suitcase has a kinetic energy of 51.03 J just before it hits the floor.