Uniform Circular Motion and Centripetal acceleration

AI Thread Summary
The discussion centers on calculating the minimum centripetal acceleration required for a pickup truck to successfully jump across a gully while navigating a circular curve. Key equations include centripetal acceleration (a(c) = v^2/r) and energy conservation principles (KE and PE). The initial attempt at solving the problem involved calculating the time to cross the gully and deriving a velocity, but confusion arose regarding the truck's length affecting the jump. Ultimately, the correct centripetal acceleration needed for the truck to clear the gully is determined to be 1.08 m/s². The conversation emphasizes the importance of considering the entire length of the truck in the calculations.
suyashr99
Messages
8
Reaction score
0

Homework Statement


For a scene in a movie, a stunt driver drives a 1.20✕ 103 kg pickup truck with a length of 4.65 m around a circular curve with a radius of curvature of 0.333 km (Fig. 7.29). The truck is to curve off the road, jump across a gully 10.0 m wide, and land on the other side 2.96 m below the initial side. What is the minimum centripetal acceleration the truck must have in going around the circular curve to clear the gully and land on the other side?
upload_2015-11-10_20-28-6.png


Homework Equations


a(c) = v^2/ r
Fc = mv^2/ r
(I don't really know what else to apply here)
I guess we could use energy or kinematics for the ravine part.
KE= 1/2mv^2
PE= mgh

The Attempt at a Solution


0.333 km= 333 m
Fc = mv^2/ r
This is where i got lost and confused.
Please guide me.
 
Physics news on Phys.org
Attempt 1: Used the maximum height that it can travel to find the time it would take to cross the gulch (t = 0.77 secs). Divided that by distance to get a velocity (12.9). Plugged that into the formula for centripetal acceleration and got .49 which is wrong.
 
I think you have to take into account the length of the truck, otherwise you are calculating the speed it would take for the truck's front bumper to clear the gully, leaving the rest of the truck to fall in!
 
Mister T said:
I think you have to take into account the length of the truck, otherwise you are calculating the speed it would take for the truck's front bumper to clear the gully, leaving the rest of the truck to fall in!
Okay so i woulld just add right? thanks ill try that.
 
Mister T said:
I think you have to take into account the length of the truck, otherwise you are calculating the speed it would take for the truck's front bumper to clear the gully, leaving the rest of the truck to fall in!
Okay thank you that was correct
 
Hi, i am really interested in this question and would like to attempt this question on my own. So is it possible if you can post the answer to this question? Thank you
 
SWJ said:
Hi, i am really interested in this question and would like to attempt this question on my own. So is it possible if you can post the answer to this question? Thank you
No, you should post your own attempt first.
 
No, i meant the final answer to this question, not the solution so that i know if what i get in the end is correct.
 
The answer is 1.08 m/s^2
 

Similar threads

Acceleration in uniform circular motion is uniform or non-uniform?
2
Replies
55
Views
3K
What actually is the centripetal acceleration formula?
Replies
28
Views
3K
Relation between the velocity vector and the acceleration vector of an object
Replies
1
Views
644
Difference between radial and centripetal acceleration?
Replies
9
Views
8K
Tangential acceleration and centripetal acceleration
Replies
5
Views
2K
Circular Motion Questions (energies, forces, angular velocities, etc.)
Replies
2
Views
1K
Centripetal Force and circular motion
Replies
3
Views
2K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Is Centripetal Acceleration Constant in Uniform Circular Motion?
Replies
38
Views
3K
Circular Motion and centripetal acceleration
Replies
6
Views
3K

Hot Threads

Recent Insights

Back
Top