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Answer:
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