The next two questions pertain to the situation described below. Two blocks are

Question

The next two questions pertain to the situation described below. Two blocks are connected via a massless rope hanging over a frictionless pulley as shown. Their masses are mi - 3 kg and m2 -5 kg. The tension in the rope is denoted as Ti and T2 T2 T1 m2 mi 16) Which of the following statements is true? a. The two blocks will move with the same absolute acceleration b. The tension T2 is equal to m2g c. T2 > since m2 > m1 17) What is the tension T2 in the rope? a. 9.8 N b. 41.7 N c.29.4 N d. 36.8 N e. 56.4 N

Explanation / Answer

16) since the ropes are massless and pulley is frictionless, T1 = T2 anf

Both the blocks will move with same acceleration

17) let the system move with acceleration a m/s2

m2g - T = m2a ---------(1)

T - m1g = m1a ---------(2)

Adding both equations we have

g(m2 - m1) = (m1 + m2)a

a = 9.8*(5-3) / (5+3) = 9.8/4 = 2.45 m/s2

T = 3(9.8+2.45) = 36.75 N = 36.8 N

so option d) 36.8 is the correct answer

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