Answer:
Option C
Explanation:
Centripetal acceleration formula regarding velocity and radius is,
now we know the centripetal acceleration is 9 and the radius is 16 so we plug these values into our formula,
so velocity is 12 m/s
Now for the angular velocity, the formula of centripetal acceleration regarding angular velocity and radius is,
we know the centripetal acceleration is 9 and the radius is 16 so plug these values into the formula,
so angular velocity is 0.75 rad/s
Answer:
i) kinetic friction; ii) The friction force always acts in the opposite direction to the movement of the surface where friction exists.
Explanation:
Part i )
At that time the type of friction that exists is kinetic, as there is movement by the wheel. At the moment when the wheel remains in rest over the inclined plane, the friction force which would be used will be the static force.
Part ii)
The friction force always acts in the opposite direction to the movement of the surface where friction exists. It is not opposed to the sense of movement. In order for the wheel to rise on the inclined plane, it must turn to the right, that is to say in the clockwise direction, therefore the friction force must go in the opposite direction to the rotation of the wheel, that is to say, go in the opposite direction to the movement of the surface under friction effect, that is why it points in the same direction of displacement of the wheel.
Answer:
Explanation:
mass of each object = m
momentum conservation: mv₁ + mv₂ = 2mv, so v = (v₁ + v₂)/2
Initial KE = mv₁²/2 + mv₂²/2 = m(v₁² + v₂²)/2
final KE = (2m)v²/2 = m(v₁ + v₂)²/4
Change in KE = m(v₁² + v₂²)/2 - m(v₁ + v₂)²/4 = m(v₁ + v₂)²/4
= m(v₁² + v₂² + 2v₁v₂)/4 = (1/2) m(v₁² + v₂²)/2 + mv₁v₂/2
Fraction loss = change in KE / initial KE = 1/2 + v₁v₂/(v₁² + v₂²)
