What Is the Maximum Speed a Car Can Travel Over a Hill Without Leaving the Road?

AI Thread Summary
To determine the maximum speed a car can travel over a hill without leaving the road, key factors include the car's mass of 509 kg, the hill's radius of 154 m, a coefficient of static friction of 0.275, and gravitational acceleration of 9.8 m/s². The speed is crucial because it affects the net force required to keep the car on the road; if the speed exceeds a certain threshold, the centripetal force may not be sufficient to counteract gravitational pull. The relationship between speed and force is essential in calculating the maximum velocity. Understanding these dynamics is vital for solving the problem effectively. The discussion emphasizes the need for a clear connection between speed, force, and motion in this scenario.
RoNiN
Messages
2
Reaction score
0
I need help! I've tried so many methods but am still coming up blank.

"The same car now travels on a straight track and goes over a hill with radius 154m at the top. What is the maximum speed that the car can go over the hill without leaving the road? (m/s)"

Important Details:
  • Mass = 509 kg
  • Hill Radius = 154m
  • Coefficient of Static Friction = 0.275
  • Gravity = 9.8 m/s²

Looking for Maximum Velocity! Help please
 
Physics news on Phys.org
What have you tried that you think is relevant? Why does the speed make any difference? What is it about the motion of this car that makes the speed important? Is there a net force required to make the car travel the way it does? Is there any connection between the speed and the force.
 
I multiplied the values first without the error limit. Got 19.38. rounded it off to 2 significant figures since the given data has 2 significant figures. So = 19. For error I used the above formula. It comes out about 1.48. Now my question is. Should I write the answer as 19±1.5 (rounding 1.48 to 2 significant figures) OR should I write it as 19±1. So in short, should the error have same number of significant figures as the mean value or should it have the same number of decimal places as...
Thread 'Collision of a bullet on a rod-string system: query'
In this question, I have a question. I am NOT trying to solve it, but it is just a conceptual question. Consider the point on the rod, which connects the string and the rod. My question: just before and after the collision, is ANGULAR momentum CONSERVED about this point? Lets call the point which connects the string and rod as P. Why am I asking this? : it is clear from the scenario that the point of concern, which connects the string and the rod, moves in a circular path due to the string...
Thread 'A cylinder connected to a hanging mass'
Let's declare that for the cylinder, mass = M = 10 kg Radius = R = 4 m For the wall and the floor, Friction coeff = ##\mu## = 0.5 For the hanging mass, mass = m = 11 kg First, we divide the force according to their respective plane (x and y thing, correct me if I'm wrong) and according to which, cylinder or the hanging mass, they're working on. Force on the hanging mass $$mg - T = ma$$ Force(Cylinder) on y $$N_f + f_w - Mg = 0$$ Force(Cylinder) on x $$T + f_f - N_w = Ma$$ There's also...
Back
Top