iPad 11:04 PM 4 session.masteringphysics.com 19% D Problem 10.86 MasteringPhysic

Question

iPad 11:04 PM 4 session.masteringphysics.com 19% D Problem 10.86 MasteringPhysics Problem 10.86 A small block with mass 0.390 kg is attached to a string passing through a hole in a frictionless, horizontal surface Q Tap image to zoom The block is originally revolving in a circle with a radius of 0.800 m about the hole with a tangential speed of 4.00 m/s. The string is then pulled slowly from below, shortenin of the string is 30.0 N. Part A g the radius of the circle in which the block revolves. The breaking strength What is the radius of the circle when the string breaks? Express your answer with the appropriate units. r= | Value | m Submit Give Up

Explanation / Answer

here,

r0 = 0.8 m

vt = 4 m/s

T = 30 N

let the speed of be v when the string breaks and the radius be r

tension = centripital force

T = m * v^2 /r

30 = 0.39 * v^2 /r ....(1)

and

using conservation of angular momentum

m * vt * r0 = m * v * r

4 * 0.8 = v * r ...(2)

from (1) and (2)

r = 0.51 m

v = 6.27 m/s

the radius is 0.51 when the string breaks

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