A uniform solid bar with mass m and length L rotates with angular velocity v about an axle at one end of the bar. What is the bar’s kinetic energy?
The total kinetic energy of the bar is
The formula to find kinetic energy for the small element of bar is
here, is the kinetic energy of the small element of bar, is linear velocity, is mass element of the same.
Integrate the kinetic energy of each small element of the bar to find the total kinetic energy,
The formula to find the small mass is
A 0.2 kg plastic cart and a 20 kg lead cart both roll without friction on a horizontal surface. Equal forces are used to push both carts forward a distance of 1 m, starting from rest. After traveling 1 m, is the kinetic energy of the plastic cart greater than, less than, or equal to the kinetic energy of the lead cart? Explain.
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