In the formula, E K = 1/2 • m • v 2 if mass (m) was doubled, how much would kinetic energy (E K ) increase or decrease? If velocity (v) was doubled, how much would kinetic energy (E K )
increase or decrease?

mass doubled makes KE twice as large

velocity doubled makes KE 4 times as large

Explanation:

Try it with an example

m = 4

v = 8

KE = 1/2 m * v^2

KE = 1/2*4 * 8^2

KE = 1/2 * 4 * 64

KE = 128

Now double the mass

m  = 8

v = 8

KE = 1/2 8 * 8^2

KE = 1/2 8 * 64

KE = 4 * 64

KE = 256 double what it started out as.

Now do it again.

m = 4     That was the original mass

v = 16

KE = 1/2 4 * 16^2

KE = 2 * 256

KE = 512

When the velocity is doubled the KE becomes 4 times as big.

4*128 = 512

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explanation: