(a) What is the mass of block C ifblock B is moving to the right and speeding up

Question

(a) What is the mass of block C ifblock B is moving to the right and speeding up with anacceleration 2.00 m/s2?
kg

(b) What is the tension in each cord when block B has thisacceleration? TA = N TC = N TA = N TC = N Block A in the figure below has a mass of 3.80 kg and block B has mass 12.8 kg. The coefficient of kinetic frictionbetween block B and the horizontal surface is 0.25. (a) What is the mass of block C ifblock B is moving to the right and speeding up with anacceleration 2.00 m/s2? kg (b) What is the tension in each cord when block B has thisacceleration?

Explanation / Answer

GIven that mA = 3.80kg mB =  12.8 kg = 0.25 a =  2.00 m/s2 Let T be the tension in the wire. For Block A    TA- mAg =mAa                The tension TA=  mAa   +   mAg For Block B      TC- TA -f = mBa     Tension TC =TA +mBg +mBa For block C       mCg-TC = mCa      The mass of the block C is                 mC=   TC /(g+a) Substitute the values.        

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