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1.A puck of mass m = 1.14 kg slides in a circle of radius r = 20.0 cm on a
frictionless table while attached to a hanging cylinder of mass M =
2.17 kg by a cord through a hole in the table. What speed keeps the
cylinder at rest?

m/s

2. In the figure below, a box of ant aunts (total mass m1 = 1.45 kg) and a
box of ant uncles (total mass m2 = 3.45 kg) slide down an inclined plane
while attached by a massless rod parallel to the plane. The angle of
incline is θ = 30°. The coefficient of kinetic friction between the aunt
box and the incline is μ1 = 0.226. The coefficient of kinetic friction
between the uncle box and the incline is μ2 = 0.113.

(a) Compute the tension in the rod.

N

(b) Compute the common acceleration of the two masses.

m/s2

(c) How would the answers to (a) and (b) change if m2 trailed m1?

3. The figure below shows an overhead view of an amusement park ride that travels at constant speed through five circular arcs of radii R0, 2R0, and 3R0. Rank the arcs according to the magnitude of the centripetal force acting on a rider while traveling in the arcs, greatest first. Use only ">" or "=" symbols. If any elements are equal, show their equality in numeric order (for example: 4>2=3)

PLEASE ANSWER ALL QUESTIONS THOROUGHLY. PLEASE EXPLAIN EVERYTHING. PLEASE PUT THE EQUATIONS YOU USED. I REALLY WANT TO UNDERSTAND ALL THREE QUESTIONS.

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