Question

Asked Oct 17, 2019

A block of mass *m* = 2.00 kg is attached to a spring of force constant *k* = 405 N/m as shown in the figure below. The block is pulled to a position *x*_{i} = 4.95 cm to the right of equilibrium and released from rest.

(a) Find the speed the block has as it passes through equilibrium if the horizontal surface is frictionless.

(b) Find the speed the block has as it passes through equilibrium (for the first time) if the coefficient of friction between block and surface is μ_{k} = 0.350.

Step 1

Given:

Mass of the block = 2.00 kg

Force constant = 405 N/m

Distance travelled by the block = 4.95 cm

Coefficient of friction, μ_{k} = 0.350

Step 2

For frictionless surface,

Speed of the block as it passes through equilibrium can be calculated as;

K.E. of the block = P.E. energy of the block

Step 3

Speed of the block as it passes through equilibrium and μk is the coeff...

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