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Question: 80 railway wagons all of same mass 5 × 10<sup>3</sup> kg are pulled by an engine with a force of 4 ×...

80 railway wagons all of same mass 5 × 103 kg are pulled by an engine with a force of 4 × 105 N. The tension in the coupling between 30th and 31st wagon from the engine is –

A

25 × 104 N

B

20 × 104 N

C

32 × 104 N

D

40 × 104 N

Answer

25 × 104 N

Explanation

Solution

According to train,

a = 4×10580×5×103\frac{4 \times 10^{5}}{80 \times 5 \times 10^{3}} = 1 m/s2

Thus, tension between 30th and 31st wagon is

T = ma = 50 × 5 × 103 × 1

= 25 × 104 N