Time for truck to go down ramp and reach point B

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Discussion Overview

The discussion revolves around calculating the time it takes for a 2000 kg truck to travel down a 15-degree ramp and reach point B. The problem involves concepts of physics such as acceleration, forces acting on the truck, and kinematics, while assuming no air resistance and a coefficient of kinetic friction.

Discussion Character

  • Homework-related
  • Mathematical reasoning
  • Technical explanation

Main Points Raised

  • One participant presents the problem of a truck on a ramp and seeks to determine the time taken to travel from point A to B.
  • Another participant suggests that the original post is incomplete and directs attention to an external link for a similar problem, implying that it may provide useful insights.
  • A subsequent reply notes that the external link requires a paid membership and does not specifically address the time calculation from A to B.
  • Further suggestions include using Google to find additional resources on the equations related to acceleration down a ramp.
  • One participant provides a detailed breakdown of the physics involved, referencing Newton's second law and kinematics equations, while outlining the steps needed to calculate both the acceleration down the ramp and the time taken on the horizontal surface.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the solution to the problem, and multiple approaches and resources are suggested without agreement on a definitive method or answer.

Contextual Notes

The discussion lacks specific numerical values for the displacement down the ramp and the speed at the ramp bottom, which are necessary for complete calculations. Additionally, the assumptions regarding air resistance and friction are acknowledged but not elaborated upon.

Porter Tawa
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A 2000 kg truck is resting at the top of a parking lot ramp which is at a 15 degree slope. It is then shifted into Neutral and starts moving.
How long does it take the truck to get from A to B in seconds?

There is a 15 degree slope on the ramp.
uk is 0.08
Assume there is no air resistance.
 

Attachments

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Mathematics news on Phys.org
Homework not done here...

Have a look here:

https://www.chegg.com/homework-help/questions-and-answers/4000-kg-truck-rest-15-degree-slope-important-lengthy-problem-definitely-grading-draw-freeb-q18917900
 
Thank you for your reply.
I took a look at the link. It requires a paid membership and it does not discus the time it takes to get from point A to B.
 
Last edited:
https://mathhelpboards.com/attachments/physics-64/8920d1554183349-time-truck-go-down-ramp-reach-point-b-truck-ramp-jpg

Porter Tawa said:
A 2000 kg truck is resting at the top of a parking lot ramp which is at a 15 degree slope. It is then shifted into Neutral and starts moving.
How long does it take the truck to get from A to B in seconds?

There is a 15 degree slope on the ramp.
uk is 0.08
Assume there is no air resistance.

You have accelerated motion from A down the ramp, then constant speed from the bottom of the ramp to B.

To determine acceleration down the ramp, note Newton's 2nd law ...
$F_{net} = ma = mg\sin{\theta} - f_k$

The kinematics equation for constant acceleration down the ramp would be $\Delta x = v_0 \cdot t - \dfrac{1}{2}at^2$
You're given the displacement down the ramp and you are also told the truck starts from rest. If you have calculated the magnitude of acceleration from the force equation above, then you should be able to determine the time required from point A to the ramp bottom.

To determine the time on the horizontal surface from the ramp bottom to B, you'll need to calculate the truck's speed at the ramp bottom. There are a couple of ways to calculate that speed value from other kinematics equations for constant acceleration.
 

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