Download Section 4.6 and 4.7 Practice 1. A 2.4 kg cat named Tigre is sitting on

Section 4.6 and 4.7 Practice
1. A 2.4 kg cat named Tigre is sitting on a scale in an elevator moving up at a constant 2.3 m/s.
a. What is the Tigre’s weight?
b. What is the net force on Tigre?
c. What would the scale read?
2. The elevator from question 1 now experiences a downward acceleration of 3.5 m/s2 as is moves up.
a. What is happening at the elevator’s velocity?
b. Will Tigre’s apparent weight be more, less or the same as in problem 1a? Explain your answer.
c. Calculate Tigre’s apparent weight (what the scale reads).
d. Draw the free-body diagram for this situation.
3. What is a clothoid loop, and explain the reason vertical loops in roller coasters are clothoid in shape.
4. Suppose a person on a roller coaster is sitting on a scale as the roller coaster moves along a track. Draw the freebody diagram of the person when the person in at the bottom of a vertical loop and when the person is at the very
top of a vertical loop.
5. What is the maximum safe acceleration for a rollercoaster?
6. A 55 kg rider on a circular ride of radius 15 m experiences a centripetal force of 1,910 N. What is the speed of the
rider as they go in circles?
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7. What is the acceleration, in ௦మ , that a person experiences when it feels an acceleration of 3.3 g’s?
8. If a 55 kg person is experiencing a net acceleration of 2.5 g’s, what would be the person’s apparent weight?
9. A roller coaster is known to have a velocity of 25 m/s while traveling around a curve with a radius of 15 m.
a. What is the centripetal acceleration a person on the coaster would experience?
b. Explain/show if this would be a safe roller coaster or not.
10. A 75.0 kg person sits on a scale on a rollercoaster. At the bottom of the first hill the scale reads 2,205 N. The radius
of the curve at the bottom is determined to be 47.5 m.
a. Calculate the centripetal force on the person.
b. Calculate the speed of the person at the bottom of the hill?
c. Explain/show if this would be a safe roller coaster or not.
Section 4.6 and 4.7 Practice
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1.A 2.4 kg cat named Tigre is sitting on a scale in an elevator moving up at a constant 2.3 m/s.
a. What is the Tigre’s weight?
b. What is the net force on Tigre?
c. What would the scale read?
The elevator from question 1 now experiences a downward acceleration of 3.5 m/s2 as is moves up.
a. What is happening at the elevator’s velocity?
b. Will Tigre’s apparent weight be more, less or the same as in problem 1a? Explain your answer.
c. Calculate Tigre’s apparent weight (what the scale reads).
d. Draw the free-body diagram for this situation.
What is a clothoid loop, and explain the reason vertical loops in roller coasters are clothoid in shape.
Suppose a person on a roller coaster is sitting on a scale as the roller coaster moves along a track. Draw the freebody diagram of the person when the person in at the bottom of a vertical loop and when the person is at the very
top of a vertical loop.
What is the maximum safe acceleration for a rollercoaster?
A 55 kg rider on a circular ride of radius 15 m experiences a centripetal force of 1,910 N. What is the speed of the
rider as they go in circles?
௠
What is the acceleration, in ௦మ , that a person experiences when it feels an acceleration of 3.3 g’s?
If a 55 kg person is experiencing a net acceleration of 2.5 g’s, what would be the person’s apparent weight?
A roller coaster is known to have a velocity of 25 m/s while traveling around a curve with a radius of 15 m.
a. What is the centripetal acceleration a person on the coaster would experience?
b. Explain/show if this would be a safe roller coaster or not.
A 75.0 kg person sits on a scale on a rollercoaster. At the bottom of the first hill the scale reads 2,205 N. The radius
of the curve at the bottom is determined to be 47.5 m.
a. Calculate the centripetal force on the person.
b. Calculate the speed of the person at the bottom of the hill?
c. Explain/show if this would be a safe roller coaster or not.