Will the Box Move on a Braking Truck? Mathematical Justification Required

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Homework Help Overview

The problem involves a box on a pickup truck that is braking uniformly. The context is centered around kinematics and friction, specifically examining whether the box will move as the truck comes to a stop.

Discussion Character

  • Exploratory, Assumption checking, Mathematical reasoning

Approaches and Questions Raised

  • Participants are attempting to calculate the acceleration of the truck and its effect on the box. Questions arise regarding the correctness of calculations and the application of relevant equations.

Discussion Status

There is ongoing dialogue about the calculations for acceleration and friction. Some participants are questioning the accuracy of previous calculations and suggesting the need for consistent units and force diagrams.

Contextual Notes

Participants are discussing the implications of the maximum friction force and the initial speed of the truck, with some uncertainty about the calculations and assumptions made regarding the forces acting on the box.

tonya
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Homework Statement



A box with a mass of 5 kg sits in the middle of the bed of a pickup truck moving with a speed of 90 km/h. The maximum force of friction between the box and the truck is 15N. If the truck were braked uniformly to a stop in 125 m, would the box move? Justify your answer mathematically.

Homework Equations



vf2= vo2 + 2ax?

The Attempt at a Solution



a= (vf2 - vo2) / 2x
a= (0-9) / 2(125)
a= -0.36
yes is would
am i even close?
 
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Almost correct .

Calculate the acceleration of the truck - make sure you use consistent units.
Then draw a diagram of the forces acting horizontally on the box, remember f=ma
 
right so, 90 km/h is 25m/s. therefore acceleration [of truck] is equal to -0.1m/s2
 
Think you have a calculator error there
a = v2/ 2s = 252 / 2*125 ms-2
 

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