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Answered

the kinetic energy of certain object varies directly as the square of its velocity. if an object moving at 15 m/s has a kinetic energy of450 joules find the kinetic energy of an object moving at 25 m/s

Sagot :

MIKLEOIN

Answer:

1,250 Joules

Step-by-step explanation:

(1) Represent the variables

kinetic energy = E

velocity = V

(2) Find the constant k using direct variation equation by substituting E = 450 and V = 15

E = kV²

450 = k(15)²

450 = 225k

k = 2

(3) Substitute the obtained k value to the original equation

E = kV²

E = 2V²

(4) Substitute V = 25 and simplify

E = 2V²

E = 2(25²)

E = 2(625)

E = 1,250

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