29P A truck driver slams on the brak... [FREE SOLUTION]

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Chapter 2: 29P (page 82)

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.

Short Answer

Expert verified

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 the net force

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

If the system's momentum changes from initial momentum $\overset{鈫�}{p_{1}}$ to final momentum $\overset{鈫�}{p_{2}}$ over time $鈭� T$ , the force acting on the system will be,

localid="1653963994357">鈫�Fnet=p2鈫�-p鈫�1鈭�t

Finding the net force on the system.

Substitute $< 65, 000, 0, 0 > kg . m / s$ for $\underset{p_{1}}{鈫�}$ , $< 26, 000, 0, 0 > kg . m / s$ for $\underset{p_{2}}{鈫�}$ , and $4.1 s$ for $鈭� t$ into the formula of the net force acting on the system.

role="math" localid="1653965078905" $\overset{鈫�}{F_{n e t}} = \frac{< 26, 000, 0, 0 > kg . m / s - < 65, 000, 0, 0 > kg . m / s}{4.1 s} = \frac{< 26, 000 - 65, 000, 0 - 0, 0 - 0 > kg . m / s}{4.1 s} = \frac{< - 39, 000, 0, 0 > kg . m / s}{4.1 s} . (\begin{matrix} 1 N \\ 1 kg . m / s \end{matrix}) = < - 9512.2, 0, 0 > N Therefore, the net force on the system is < - 9512.2, 0, 0 > N .$

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91影视

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.

Short Answer

Step by step solution

Definition and the formula of the net force

Finding the net force on the system.

One App. One Place for Learning.

Most popular questions from this chapter

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Electricity and Magnetism

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91影视

A truck driver slams on the brakes and the momentum of the truck changes from<65,000,0,0>kg.m/sto<26,000,0,0>kg.m/sin4.1sdue 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 the net force

Finding the net force on the system.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Electricity and Magnetism

Space Physics

Energy Physics

Magnetism

Torque and Rotational Motion

Particle Model of Matter

Study anywhere. Anytime. Across all devices.

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.