A 1200 kg automobile is traveling at a velocity of 100 m/s is its energy potential or kinetic? How much energy does it possess?
Answer:
6,000,000 J (6 million)
Explanation:
Refer to the equations for potential and kinetic energy.
\(KE = \frac{1}{2}mv^{2}\\PE = mgh\)
Because the automobile is on the ground (it does not give a height above the ground, therefore we can assume that it is on the ground), height = 0. If you plug in 0 for h in the potential energy equation, we get PE = 0 J.
Therefore, all of the energy is kinetic. Plug in the given information into the kinetic energy equation. M = 1200 kg and v = 100 m/s
\(KE = \frac{1}{2}mv^{2} = \frac{1}{2}(1200)(100^{2}) = 6,000,000\ J\)
The energy possess is 6,000,000 J
The kinetic energy is a energy by which an object can move and potential energy is a stored energy which depends upon the relative position of various parts of the body.
Given:
The mass of automobile is \(m=1200\:\rm kg\).
The velocity of the automobile is \(100\;\rm m/s\).
Write the formula to calculate the potential energy of the body.
\(P.E=mgh\)
Since the automobile is on ground so the height \(h\) will be 0.
\(P.E=1200\times 9.81\times 0\\P.E=0\)
Write the formula to calculate the kinetic energy.
\(K.E=\dfrac{1}{2}mv^2\)
Substitute the value.
\(K.E=\dfrac{1}{2}\times 1200\times 100^2\\K.E= 6,000,000 J.\)
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