A10-kg cylinder rolls without slipping on a rough surface. at an instant when its center of gravity has a speed of 10 m/s, determine (a) the translational kinetic energy of its center of gravity, (b) the rotational kinetic energy about its center of gravity, and (c) its total kinetic energy.

Part a)

Part b)

Part c)

Explanation:

Part a)

As we know that cylinder is rolling without slipping

So we have

now we have

now we know that translational kinetic energy is given as

Part b)

Now for rotational kinetic energy we know that

Part c)

Total kinetic energy is given as

gpe = mass x gravity constant x height or… gpe = mgh

where… mass: measured in kilograms (kg)

gravity: gravity constant on earth = 10.00 m/s2

height: measured in meters (m)

gpe: measured in joules (j) or kilojoules (kj)

how do you solve gpe?

gravitational potential energy (gpe) is the energy an object has because of its position above the. ground.

gpe = mass x gravity constant x height or… gpe = mgh.

mass:

note: to earn full marks when solving science word problems, you must show your work:

formula.

example:

given values:

mass = 0.3 kg.

a. are