1a.) assuming that there is no friction, what is the tension in string 2? What i

Question

1a.) assuming that there is no friction, what is the tension in string 2? What is the tension in string 1?
1b.) assuming that the friction on block A is 0.5 N, and the friction on block b is 1.0 N, what is the tension in strings 1 and 2?
Please show all work 9.1 Two blocks, attached to strings, sit on a table. Block A (mass 2.5 kg) is pulled to the right by string 1. Block A is attached to block B (mass 5.0 kg) by string 2. Sting 1 is pulled to the right, and both blocks are moving together toward the right, speeding up with an acceleration of 0.5 m/s2. 2 a) Assuming no friction, what is the tension in string 2? What is the tension in string 1? b) Now, in reality there is friction, of course. Assuming the force of friction on block A is 0.5 N, and that on block B is 1.0 N, what is the tension in strings 1 and 2 now?

Explanation / Answer

here,

mA = 2.5 kg

mB = 5 kg

a)

accelration , a = 0.5 m/s^2

the tension in string 1 , T1 = (mA + mB) * a

T1 = ( 2.5 + 5) * 0.5 = 3.75 N

the tension in the seccond string , T2 = mB * a

T2 = 5 * 0.5 = 2.5 N

b)

ff1 = 0.5 N , ff2 = 1 N

the tension in string 1 , T1 = (mA + mB) * a + ff1 + ff2

T1 = ( 2.5 + 5) * 0.5 + 0.5 + 1 = 5.25 N

the tension in the seccond string , T2 = mB * a + ff2

T2 = 5 * 0.5 + 1 = 3.5 N

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