A m 1 = 3.80 kg block on a smoothtabletop is attached by a string to a hanging b

Question

A m1 = 3.80 kg block on a smoothtabletop is attached by a string to a hanging block ofmass m2 = 2.10 kg, as shown in thefigure. The blocks are released from rest and allowed to movefreely. Find the tension in the string.
A child slides down a slide with a22o incline, and at the bottom her speed isprecisely three-fifths what it would have been if the slide hadbeen frictionless. Calculate the coefficient of kinetic frictionbetween the slide and the child.
A child slides down a slide with a22o incline, and at the bottom her speed isprecisely three-fifths what it would have been if the slide hadbeen frictionless. Calculate the coefficient of kinetic frictionbetween the slide and the child.

Explanation / Answer

As the table is smooth, there is no friction acting onthe block on the table Let T = Tension acting on the string        mass of the block on thetable, m 1= 3.8 kg        mass of the suspendedbloch, m 2 = 2.1 kg Equation for m2:            m2 g - T = m 2 a                  T = m 2 ( g-a)             .....................(1) Equation for m1:                    T= m1 a   .............................(2)         By equating (1) and(2)                       m1 a =  m 2 ( g-a)  = m 2 g -  m 2a                             a = m 2 g / ( m1 + m 2) =2.1 X 9.8 / 5.9 = 3.489 m/s^2

T=13.25 N

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