Question 2: An air puck of mass mi is tied to a string and allowed to revolve in

Question

Question 2: An air puck of mass mi is tied to a string and allowed to revolve in a circle of radius R on a frictionless horizontal table. The other end of the string passes through a small hole in the center of the table, and a counterweight of mass m2 is tied to the string. The suspended load remains in equilibrium while the puck on the tabletop revolves. What are (a) the tension in the string, (b) the radial force acting on the puck, and (c) the speed of the puck? [mig, T sgrt(m2gRIm) Question 3: A 1.0 kg block slides down a 60° incline with length 0.855 the level surface. The coefficient of friction between the block and the surface is O initial speed of the block is 3.5 m/s, find how far the block slides on stopping. [13.2 m] n and continues on the the level surface before Question 4: The three ropes shown in the bird's-eye view of the figure are used to drag a 25.0 kg crate 3.0 m across the floor. How much work is 650N T lone by each of the three forces? If the crate begins from rest, what is its peed after it travels 3.0 m? [1691 J, 1065 J,-1950.J 5.68 m/s] uestion 5: A 200 g mass is acted upon by a horizontal force given by 7.0x (in newtons). The block has speed 3.5 m/s at x = 2 m. What is the speed of the block a = 4 m'? [40.4 rn/s] F=ma v2 ar

Explanation / Answer

2)

a)

F = Fg2 T = m2gT

F = m2a = 0

T = m2g

b)

The only radial force acting on the puck is tension so Fc = T = m2g

c)

ac = v^2/r

v = sqrt(ac*r)

v = sqrt[Fc*r/m1]

v = sqrt[(m2/m1)*g*r]

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