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Matter & Interactions
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Short Answer

A truck driver slams on the brakes and the momentum of the truck changes from<65,000,0,0> kg.m/s to<26,000,0,0> kg.m/s in 4.1 s due to a constant force of the road on the wheels of the truck. As a vector, write the net force exerted on the truck by the surroundings.

The net force exerted on the truck by the surrounding is <-9512.2,0,0>N.

See the step by step solution

Step by Step Solution

Step 1: Definition and the formula of the net force

The rate of change of a particular system’s momentum will be equated to the net force applied to that system.

If the system's momentum changes from initial momentum p1 to final momentum p2 over time T , the force acting on the system will be,

localid="1653963994357" style="max-width: none; vertical-align: -17px;" Fnet =p2 -p1t

Step 2: Finding the net force on the system.

Substitute <65,000,0,0> kg. m/s for p1 , <26,000,0,0> kg.m/s for p2 , and 4.1s for t into the formula of the net force acting on the system.

role="math" localid="1653965078905" Fnet =<26,000,0,0>kg. m/s -<65,000,0,0>kg. m/s4.1s = <26,000-65,000,0-0,0-0>kg.m/s4.1s = <-39,000,0,0> kg.m/s4.1s .(1N1kg.m/s) = <-9512.2,0,0>NTherefore, the net force on the system is <-9512.2,0,0>N.

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