Maximum acceleration of 1500 kg car on concrete surface?

AI Thread Summary
The maximum acceleration of a 1500 kg car on a concrete surface, with two-thirds of its weight on the drive wheels and a static friction coefficient of 1, is calculated to be 6.53 m/s². This calculation is based on the formula F = ma, where the force is derived from the weight distribution. While the presence of a backward frictional force on the non-drive wheels could affect real-world performance, it can be ignored if the mass of the wheels is negligible. The provided answer of 6.53 m/s² is confirmed as correct. Understanding these dynamics is crucial for accurate vehicle performance assessments.
senpim
Messages
2
Reaction score
0

Homework Statement


Two-thirds of the weight of a 1500 kg car rests on the drive wheels. What is the maximum acceleration of this car on a concrete surface?

μs = 1

Homework Equations



F = ma[/B]

The Attempt at a Solution



The answer I got is 6.53 m/s^2 , but I want to make sure the answer is correct.[/B]
 
Physics news on Phys.org
Yes, your answer (2g/3) is correct.

In reality, there will also be a backwards frictional force on the other (non-drive) wheels to get them rotating, but if the mass of the wheels are negligible then this can be ignored.
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
View full post »

Thread 'Egg Drop Challenge! Need ideas for winning designs'

I was thinking using 2 purple mattress samples, and taping them together, I do want other ideas though, the main guidelines are; Must have a volume LESS than 1600 cubic centimeters, and CAN'T exceed 25 cm in ANY direction. Must be LESS than 1 kg. NO parachutes. NO glue or Tape can touch the egg. MUST be able to take egg out in less than 1 minute. Grade A large eggs will be used.
View full post »

Similar threads

Missing info from this question? (Max. acceleration possible for a vehicle)
Replies
3
Views
977
What is the maximum attainable speed for the car?
Replies
4
Views
2K
The 1100 kg mass of a car includes four tires
Replies
6
Views
3K
Accelerating a car including the moment of inertia of the wheels
Replies
33
Views
11K
Stopping distances on a downward slope
Replies
3
Views
2K
Car's maximum acceleration on a road is proportional to what?
2
Replies
94
Views
6K
Finding the total momentum of system
Replies
8
Views
3K
Car collision: decomposing momentum in x- and y-direction
Replies
5
Views
9K
Worksheet Problem about Power (average power of a car accelerating up a hill)
Replies
2
Views
2K
Maximum Acceleration and Coefficient of Friction
Replies
3
Views
12K

Hot Threads

Recent Insights

Back
Top