Question

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A truck of mass 1000 kg is pulling a trailer of mass 2000kg as shown the retarding force on the truck is 580 N. And that on the trailer is 1000 N, the truck engine exert a force of 6000 N.


(i) Calculate the acceleration of the truck and trailer .

(ii) The tension in connecting rope. ​

Answer 1

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A truck of mass 1000 kg is pulling a trailer of mass 2000kg as shown the retarding force on the truck is 500 N. And that on the trailer is 1000 N, the truck engine exert a force of 6000 N.

(i) Calculate the acceleration of the truck and trailer .

(ii) The tension in connecting rope.

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Let a be the acceleration of the truck and the trailer.

(1) 6000 - (500 + 1000)

» (1000 + 2000)a

» Therefore, a = 4500/3000

» 1.5 ms-² ............[Answer]

(2) Let T be the tension in the connected rope.

T = 2000a + 1000

» 3000 + 1000

» 4000 N ...........[Answer]

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