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Question: A truck tows a jeep of mass 1200 kg at a constant speed of 10 ms<sup>-1</sup> on a level road. The t...

A truck tows a jeep of mass 1200 kg at a constant speed of 10 ms-1 on a level road. The tension in the coupling is 1000 N. If they ascend an inclined plane of 1 in 6 with same velocity, the tension in coupling is

A

2000 N

B

2960N

C

1680N

D

1000N

Answer

2960N

Explanation

Solution

On ascending the plane, component of weight of tractor along the inclined plane will add to the given tension when the tractor and truck were moving on a level road

i.e., new tension

T' = T + mg sin θ

= 1000 + 1200 × 9.8 × 16\frac { 1 } { 6 }

= 100 + 1960 = 2960 N