Question #246702

Metabolizing a candy bar releases about 10

6

106 joules of energy. Assume the candy bar's mass is 0.12 kg

kgand use the formula kinetic energy =1

2


mv

2

=12mv2, where m

m is the object's mass and v

v is its velocity. How fast must the candy bar travel to have the same 10

6

106 joules in the form of kinetic energy?


Expert's answer

Rearranging the equation E=12mv2E=\frac{1}{2}mv^2 to solve for vv, we get:

v=2Em=2×106J0.12kg=4.1×103 m/sv=\sqrt{\frac{2E}{m}}=\sqrt{\frac{2\times10^6J}{0.12kg}}=4.1\times10^3\space{m/s}


Answer: 4.1×103 m/s4.1\times10^3\space{m/s}


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