FLASHCARDS: CIRCULAR & VERTICAL MOTION
Flashcard 1
Q: What is the formula for centripetal force?
A: F_c = \frac{mv^2}{r}
(Force that keeps an object moving in a circle)
Flashcard 2
Q: What provides centripetal force at the top of a vertical circle?
A: Gravity and normal force or tension, acting together.
Flashcard 3
Q: What provides centripetal force at the bottom of a vertical circle?
A: Tension or normal force minus gravity.
Flashcard 4
Q: Net force at top of vertical circle?
A: F_{\text{net}} = F_g + F_n = \frac{mv^2}{r}
Flashcard 5
Q: Net force at bottom of vertical circle?
A: F_{\text{net}} = F_n - F_g = \frac{mv^2}{r}
Flashcard 6
Q: What’s the minimum speed to stay in a vertical loop?
A: Set F_n = 0:
v = \sqrt{gr}
Flashcard 7
Q: What happens if your speed is less than \sqrt{gr} at the top of a loop?
A: You fall out—no normal force holding you in.
Flashcard 8
Q: How do you calculate the normal force or tension at the top of a vertical circle?
A: F_n = \frac{mv^2}{r} - mg
Flashcard 9
Q: How do you calculate the normal force or tension at the bottom of a vertical circle?
A: F_n = \frac{mv^2}{r} + mg
Flashcard 10
Q: What does a negative normal force mean?
A: You’re not in contact with the surface — you’re airborne!
Flashcard 11
Q: In rollercoaster problems, what does the scale read?
A: It reads the normal force.
Flashcard 12
Q: How do you calculate speed at the bottom of a swing (Tarzan problem)?
A: Use:
T - mg = \frac{mv^2}{r} \Rightarrow v = \sqrt{\frac{(T - mg)r}{m}}
Flashcard 13
Q: What’s always true about circular motion?
A: The net force points toward the center of the circle.
Flashcard 14
Q: What units should you always use?
A:
Mass in kg
Speed in m/s
Radius in m
Force in Newtons (N)