Find the ratio of its kinetic energy to the energy required to raise its temperature from 0 ∘c to 600 ∘c . (the melting point of aluminum is 660 ∘c. assume a constant specific heat of 910j/(kg⋅
the minimum coefficient of friction is 0.27.
to solve this problem, start with identifying the forces at play here. first, the bug staying on the rotating turntable will be subject to the centripetal force constantly acting toward the center of the turntable (in absence of which the bug would leave the turntable in a straight line). second, there is the force of friction due to which the bug can stick to the table. the friction force acts as an intermediary to enable the centripetal acceleration to happen.
centripetal force is written as
with v the linear velocity and r the radius of the turntable. we are not given v, but we can write it as
with ω denoting the angular velocity, which we are given. with that, the above becomes:
now, the friction force must be at least as much (in magnitude) as fc. the coefficient (static) of friction μ must be large enough. how large?
let's plug in the numbers. the angular velocity should be in radians per second. we are given rev/min, which can be easily transformed by a factor 2pi/60:
and so 45 rev/min = 4.71 rad/s.
a static coefficient of friction of at least be 0.27 must be present for the bug to continue enjoying the ride on the turntable.
the kinetic energy of an object depends on its mass and its speed.
it does not depend on the object's velocity as long as its speed doesn't change, the object has the same kinetic energy no matter what direction it's moving.
(d) a shopping mall would have the largest volume! the volume of the an object means how much liquid an object could hold inside of it. the shopping mall is the largest hollow object listed.