Using kinetic and dynamic principles to determine unknown parameters

Click For Summary
SUMMARY

The discussion focuses on calculating the distance a motor vehicle with a mass of 700 kg will travel after being taken out of gear and rolling to a stop, given a rolling resistance of 155 N and a kinetic coefficient of friction of 0.023. The kinetic energy of the vehicle is first determined, followed by the application of Newton's laws to establish the equations of motion. The key principles include balancing forces in the vertical direction and recognizing acceleration in the horizontal direction, leading to a solution for the stopping distance using kinematic equations.

PREREQUISITES
  • Understanding of Newton's laws of motion
  • Knowledge of kinetic energy calculations
  • Familiarity with kinematic equations
  • Basic concepts of friction and rolling resistance
NEXT STEPS
  • Learn how to calculate kinetic energy in different scenarios
  • Study the application of Newton's laws in real-world situations
  • Explore advanced kinematic equations for variable acceleration
  • Investigate the impact of different coefficients of friction on vehicle dynamics
USEFUL FOR

Students in physics, automotive engineers, and anyone interested in vehicle dynamics and motion analysis.

PDrizzle
Messages
1
Reaction score
0
A motor vehicle has a mass of 700Kg and is traveling at 36 km/h on a level road; it is taken out of gear and allowed to roll to a stop.

The first part of the question asks me to work out the kinetic energy which I've done and then the next part asks how far will it travel if the rolling resistance between the road and the wheels is 155N? The kinetic coefficient of friction is 0.023.

I really need help with this, I'm really struggling!

Thanks in advance!
 
Physics news on Phys.org
Start with Newton's laws. Write down the equations of motion that will relate all your parameters
 
The Captain is right on the mark Drizzle,

Keep in mind two things:

1.) The forces in the vertical direction are equal because the car is not bouncing up or down, \sum F_y = 0

2.) There is an acceleration in the x-direction, \sum F_x = ma.

After that you have a simple constant acceleration kinematic situation, find the right formula and solve for the distance.
 

Similar threads

  • · Replies 12 ·
Replies
12
Views
4K
  • · Replies 8 ·
Replies
8
Views
18K
  • · Replies 36 ·
2
Replies
36
Views
4K
Replies
16
Views
3K
  • · Replies 9 ·
Replies
9
Views
3K
  • · Replies 1 ·
Replies
1
Views
1K
  • · Replies 3 ·
Replies
3
Views
5K
  • · Replies 7 ·
Replies
7
Views
10K
  • · Replies 5 ·
Replies
5
Views
3K
  • · Replies 6 ·
Replies
6
Views
2K