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A small sports car and a pickup truck start coasting down a 11.1 m hill together, side by side. The mass of the sports car is 562 kg and the mass of the pickup truck is 1124 kg (twice the mass of the sports car). Assuming no friction or air resistance, what is the kinetic energy of each vehicle at the bottom of the hill? Give your answers in joules. HINT: How does the kinetic energy of a vehicle at the bottom of the hill compare to the potential energy of the vehicle at the top of the hill? Use your answer to this hint to guide your strategy.

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Answer:

61196.742 J

122393.484 J

Explanation:

m = Mass of object

g = Acceleration due to gravity = 9.81 m/s²

h = Height = 11.1 m

KE = PE

[tex]\\\Rightarrow KE=mgh\\\Rightarrow KE=562\times 9.81\times 11.1\\\Rightarrow KE=61196.742\ J[/tex]

Kinetic energy of the sports car at the bottom of the hill is 61196.742 J

[tex]\\\Rightarrow KE=mgh\\\Rightarrow KE=1124\times 9.81\times 11.1\\\Rightarrow KE=122393.484\ J[/tex]

Kinetic energy of the pickup truck at the bottom of the hill is 122393.484 J

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