An air puck of mass m1 = 0.28 kg is tied to a string and allowed to revolve in a circle of radius R = 1.4 m on a frictionless horizontal table. The other end of the string passes through a hole in the center of the table, and a mass of m2 = 1.0 kg is tied to it (see the figure below). The suspended mass remains in equilibrium while the puck on the tabletop revolves.
http://www.webassign.net/sercp9/7-p-027.…
(a) What is the tension in the string?
____ N
(b) What is the horizontal force acting on the puck?
____ N
(c) What is the speed of the puck?
____ m/s
So I keep getting the tension wrong and I don't know what I'm doing wrong. I did T = 0.28v^2/1.4=1 x 9.81 and just no. Please work it through with me and your answer so I can compare. For part B is it talking about the radius? Thanks in advance.
http://www.webassign.net/sercp9/7-p-027.…
(a) What is the tension in the string?
____ N
(b) What is the horizontal force acting on the puck?
____ N
(c) What is the speed of the puck?
____ m/s
So I keep getting the tension wrong and I don't know what I'm doing wrong. I did T = 0.28v^2/1.4=1 x 9.81 and just no. Please work it through with me and your answer so I can compare. For part B is it talking about the radius? Thanks in advance.
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You have the correct set up.
(a) Since the hanging mass is motionless the tension in string equals the force of gravity on mass m2, therefore T = 9.8 N
(b) The horizontal force on the puck (which is the centripetal force) is the same as the tension.
F(horizontal) = 9.8 N
(c) mv^2 / r = F(centripetal) ===> (0.28)(v^2) / (1.4) = 9.8 ===> v = 7 m/s
(a) Since the hanging mass is motionless the tension in string equals the force of gravity on mass m2, therefore T = 9.8 N
(b) The horizontal force on the puck (which is the centripetal force) is the same as the tension.
F(horizontal) = 9.8 N
(c) mv^2 / r = F(centripetal) ===> (0.28)(v^2) / (1.4) = 9.8 ===> v = 7 m/s
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a) The m2 is not moving, therefore, the force acting on m2 must be balance.
T = tension pulling up
force acting down on m2 = m2 g
T = m2 g = 1*9.8= 9.8 N
b) Horizontal force acting on the puck is the same as the tension.
c) Since the puck is moving in a circle, the centripetal force is the same as the tension
m2 v^2/r = T
=> v = (T r /m2)^(1/2) = 7.0 m/s
T = tension pulling up
force acting down on m2 = m2 g
T = m2 g = 1*9.8= 9.8 N
b) Horizontal force acting on the puck is the same as the tension.
c) Since the puck is moving in a circle, the centripetal force is the same as the tension
m2 v^2/r = T
=> v = (T r /m2)^(1/2) = 7.0 m/s
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a) 9.8N.
b) 9.8N.
c) V = sqrt.(fr/m), = sqrt.(9.8x1.4)/0.28, = 7m/sec.
b) 9.8N.
c) V = sqrt.(fr/m), = sqrt.(9.8x1.4)/0.28, = 7m/sec.