1. A solid cylindrical disk has a radius of 0.45 m. It is mounted to an axle tha

Question

1.A solid cylindrical disk has a radius of 0.45 m. It is mounted to an axle that is perpendicular to the circular end of the disk at its center. When a 15-N force is applied to the disk, perpendicular to its radius, the disk acquires an angular acceleration of 120 rad/s2. What is the mass of the disk?

2. A block of mass 3.0 kg slides toward the right on a frictionless surface with v0 = 7.5 m/s. At x = 0 m it comes into contact with a spring with spring constant 10.0 N/m. What is the position xf where the block stops?

Explanation / Answer

1)

mass of disk = (15*0.45/120)*2/0.45^2 = 0.56 kg

2)

conserving energy

K.E = P.E of the spring

So, 0.5*kx^2 = 0.5*mv^2

So, x = sqrt(mv^2/k) = sqrt(3*7.5^2/10) = 4.1 m <---------answer

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