Apparent forces in circular motion

AI Thread Summary
The discussion revolves around calculating the speed of a roller coaster car at the bottom of a dip, where passengers feel 50% heavier than their actual weight due to the forces in play. It is established that the normal force exceeds the weight, leading to the equation n = 1.50w. The net force acting on the car is identified as 0.5w, which serves as the centripetal force necessary for circular motion. Participants suggest using a free-body diagram and applying Newton's second law to solve for acceleration. The final calculated speed of the roller coaster car is confirmed to be 12 m/s.
lokobreed
Messages
15
Reaction score
0

Homework Statement


The passengers in a roller coaster car feel 50% havier than their true weight as the car goes through a dip with a 30 m radius of curvature. What is the cars speed at the bottom of the dip?


Homework Equations


...


The Attempt at a Solution


I understand that there are two forces affecting the rollercoaster car - the normal force and the weight (mass x gravity)... Also since they feel 50% heavier the normal force must be greater than the weight. so n (normal force) > w (mass x gravity) thus the n = 1.50w.

So sum of force = n - w = 1.50 w - w after this I am completely lost... can anyone help please!
 
Physics news on Phys.org
The net force you have correctly calculated as 0.5w is the centripetal force. Calculate v using the centripetal force equation .
 
Draw a free-body diagram of the roller coaster, label all forces, and write out Newton's second law for the vertical direction. What's the acceleration?
 
thank you
I got 12m/s
 
Thread 'Struggling to make relation between elastic force and height'

Thread 'Struggling to make relation between elastic force and height'

Hello guys this is what I tried so far. I used the UTS to calculate the force it needs when the rope tears. My idea was to make a relationship/ function that would give me the force depending on height. Yeah i couldnt find a way to solve it. I also thought about how I could use hooks law (how it was given to me in my script) with the thought of instead of having two part of a rope id have one singular rope from the middle to the top where I could find the difference in height. But the...
View full post »
Thread 'Voltmeter readings for this circuit with switches'

Thread 'Voltmeter readings for this circuit with switches'

TL;DR Summary: I would like to know the voltmeter readings on the two resistors separately in the picture in the following cases , When one of the keys is closed When both of them are opened (Knowing that the battery has negligible internal resistance) My thoughts for the first case , one of them must be 12 volt while the other is 0 The second case we'll I think both voltmeter readings should be 12 volt since they are both parallel to the battery and they involve the key within what the...
View full post »

Similar threads

A Car on a Banked Curve Moving in Uniform Circular Motion
Replies
7
Views
3K
Question Regarding Circular Motion and Normal Forces
Replies
2
Views
3K
Circular Motion of a Cyclist and a Car going around a bend in the road
Replies
6
Views
4K
What is the meaning of work done for non-uniform circular motion?
Replies
11
Views
2K
Proper use of inequality symbols in equations to do with circular motion
Replies
2
Views
1K
Super Fun Rollercoaster Problem
Replies
3
Views
2K
Simulated circular motion on a roller coaster
Replies
5
Views
3K
Circular Motion. Roller-coaster mass of car and max speed
Replies
7
Views
6K
Circular motion comparisons question
Replies
1
Views
1K
Conceptual Question on acceleration and circular motion
Replies
6
Views
4K

Hot Threads

Recent Insights

Back
Top