Two blocks with different mass are attached to either end of a light rope that p

Question

Two blocks with different mass are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended a distance 1.40 m , its speed is 3.00 m/s .

Part A

If the total mass of the two blocks is 16.0 kg , what is the mass of the more massive block?

Take free fall acceleration to be 9.80 m/s2 .

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Part B

What is the mass of the lighter block?

Take free fall acceleration to be 9.80 m/s2 .

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Two blocks with different mass are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended a distance 1.40 m , its speed is 3.00 m/s .

Part A

If the total mass of the two blocks is 16.0 kg , what is the mass of the more massive block?

Take free fall acceleration to be 9.80 m/s2 .

m1 =   kg  

SubmitMy AnswersGive Up

Part B

What is the mass of the lighter block?

Take free fall acceleration to be 9.80 m/s2 .

m2 =   kg  

SubmitMy AnswersGive Up

Explanation / Answer

Given

two masses are attached to either end of a light rope that passes over a light, frictionless pulley that is suspended from the ceiling. The masses are released from rest, and the more massive one starts to descend. After this block has descended a distance 1.40 m , its speed is 3.00 m/s .

and kg

the sum of the masses m1+m2 = 16

let mass m1 is descending and m2 ascending

we knwo the acceleration of the system is a = g (m1-m2)/(m1+m2) -----(1)

   

using equations of motions V^2 - u^2 = 2as

                3^2 - 0 = 2*a*1.4

               a = 3.21 m/s2

from (1) 3.21 = 9.8(m1-m2)/16 ===> m1-m2 = 5.24 kg

               ==> m1 = 5.24 +m2

      
m1+m2 = 16 kg

   now 16 - (5.24+m2) = m2

       2*m2 = 16-5.24

       m2 = (16-5.24)/2 kg

       m2 = 5.38 kg

so

a) m1 = 5.24+5.38 = 10.62 kg

b) m2 = 5.38 kg
       

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