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Kevin, whose mass is 80 kg, is moving along at a velocity of 4 m/s. He doubles his velocity by going down a hill. How much kinetic energy does he have after going down the hill?

Respuesta :

The kinetic energy of an object is given by:
Kinetic energy = 1/2 * mass * velocity²

Therefore, if the velocity of an object is doubled, its kinetic energy will increase 4 times. We may verify this mathematically as:

New velocity = 8 m/s

K.E = 1/2 * 80 * 8²
K.E = 2,560 J

The new kinetic energy will be 2,560 Joules

The kinetic energy of the given mass is 256 J downhill. The kinetic energy of an object is the energy due to its motion.

What is kinetic energy?

The kinetic energy of an object or body is the energy due to its motion. It can be given as,

[tex]KE = \dfrac 12mv^2[/tex]

Where,

m - mass  = 80 kg

v - velocity  = 4 x2 = 8 m/s (Downhill)

Put the values in the formula,

[tex]KE = \dfrac 1280\times 8^2\\\\KE = 256 \rm \ J[/tex]

Therefore, the kinetic energy of the given mass is 256 J downhill.

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