A truck is passing over a bridge with a weight limit of 50,000 pounds. When empty, the front of the truck weighs 19,800 pounds and the back of the truck weighs 12,500 pounds. How much cargo (C), in pounds, can the truck carry and still be allowed to pass over the bridge?

Question

Physics

Miranda Dillon

8 February, 10:27

A truck is passing over a bridge with a weight limit of 50,000 pounds. When empty, the front of the truck weighs 19,800 pounds and the back of the truck weighs 12,500 pounds. How much cargo (C), in pounds, can the truck carry and still be allowed to pass over the bridge?

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Answers (1)

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Judith Preston · Answer 1

W = 17,700 lb

Explanation:

given,

Weight limit of the Bridge = 50,000 lb

Weight of empty truck = 19800 lb

Weight on the back of the truck = 12500 lb

Now,

Total weight of truck + cargo

= Weight of empty truck + Weight on the back of the truck

= 19800 + 12500

= 32300 lb

Weight of cargo which is still allowed.

W = weight limit - weight of the system at present

W = 50000 - 32300

W = 17,700 lb

Weight Truck can still carry is equal to W = 17,700 lb