Chapter 2: Q9P (page 82)

Question: A truck driver slams on the brakes and the momentum of the truck changes from toindue 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.

Short Answer

Expert verified

Answer

The net force exerted on the truck by the surrounding is $\{- 9512.2, 0, 0\} N$

Step by step solution

Definition and the formula of 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 $\underset{p_{1}}{\to}$ to final momentum $\underset{p_{2}}{\to}$ over time $∆ t$ , the force acting on the system will be,

$\underset{F_{n e t}}{\to} = \frac{\underset{p_{2}}{\to} - \underset{p_{1}}{\to}}{∆ t}$

Finding the net force on the system

Substitute $\{65, 000, 0, 0\} k g m / s$ for $\underset{p_{1}}{\to}$ , $\{26, 000, 0, 0\} k g . m / s$ for $\underset{p_{2}}{\to}$ and $4.1 s$ for $∆ t$ into the formula of net force acting on the system.

$\underset{F_{n e t}}{\to} = \frac{\{26, 000, 0, 0\} k g . m / s - \{65, 000, 0, 0\} k g . m / s}{4.1 s} = \frac{\{26, 000 - 65, 000, 0 - 0, 0 - 0\} k g . m / s}{4.1 s} = \frac{\{- 39, 000, 0, 0\} k g . m / s}{4.1 s} (\frac{1 N}{1 k g . m / s^{2}}) = \{- 9512.2, 0, 0\} N$

Therefore, the net force on the system is $\{- 9512.2, 0, 0\} N .$

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Question: A truck driver slams on the brakes and the momentum of the truck changes from toindue 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.

Short Answer

Step by step solution

Definition and the formula of net force

Finding the net force on the system

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