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A block of mass m sliding on a frictionless table is attached to a string that p

ID: 1397273 • Letter: A

Question

A block of mass m sliding on a frictionless table is attached to a string that passes through a narrow hole through the center of the table. The block is sliding with speed v0 in a circle of radius r0. (Use any variable or symbol stated above as necessary.)

(a) Find the angular momentum of the block.

L0 = __________



(b) Find the kinetic energy of the block.

K0 = ___________



(c) Find the tension in the string.
T = ___________

(d) A student under the table now slowly pulls the string downward. How much work is required to reduce the radius of the circle from r0 to r0/2?
W = ___________

Explanation / Answer

A)

the angular momentum Lo = r X p

Lo = r X mvo

Lo = m(r X vo )

B)

Ko = 1/2 mvo2

C)

T = mg

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