Each year at a college, there is a tradition of having a hoop rolling competition. Alex rolls his 0.250 kg hoop down the course. If the hoop has a radius of 50.0 cm, what is the moment of inertia of Alex's rolling hoop? 0.0625 kg ⋅ m2

0.125 kg ⋅ m2

12.5 kg ⋅ m2

625 kg ⋅ m2

Ablock of mass m = 2.5 kg is attached to a spring with spring constant k = 710 n/m. it is initially at rest on an inclined plane that is at an angle of θ = 23° with respect to the horizontal, and the coefficient of kinetic friction between the block and the plane is μk = 0.19. in the initial position, where the spring is compressed by a distance of d = 0.16 m, the mass is at its lowest position and the spring is compressed the maximum amount. take the initial gravitational energy of the block as zero. a) what is the block's initial mechanical energy? b) if the spring pushes the block up the incline, what distance, l, in meters will the block travel before coming to rest? the spring remains attached to both the block and the fixed wall throughout its motion.

What is the freezing point of radiator fluid that is 50% antifreeze by mass? kf for water is 1.86 ∘c/m.

Could we see a galaxy that is 20 billion light-years away?