QUESTION 6 Suppose the car was on the same frictionless track as in O5. but the bank angle changed from 30 degrees to o degrees ie, the track is entirely horizontal). In that case, which statement o the (stable and constant) velocity would increase relative to the previous question. s true? the normal force

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**Question 5**

A right triangle diagram is depicted. The triangle includes the following labeled forces and components:
- \( mg \) pointing downward (weight)
- \( \frac{mv^2}{r} \) pointing to the left (centripetal force)
- \( F_N \) (normal force) as the hypotenuse, angled at 30 degrees to the vertical axis

The triangle includes an annotated angle of 30 degrees to the horizontal orientation.

**Problem:**
In the example shown, if the track radius is 7 meters, what is the velocity of the mass?

**Options:**
- The velocity is zero (since the force diagram is closed)
- Need to know the mass of the car to obtain a numerical answer
- 6.29 m/s
- 39.56 m/s
- 2.51 m/s
- NOTA (None of the Above)

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**Question 6**

Suppose the car was on the same frictionless track as in Question 5, but the bank angle changed from 30 degrees to 0 degrees (i.e., the track is entirely horizontal). In that case, which statement is true?

**Options:**
- The (stable and constant) velocity would increase relative to the previous question.
- The normal force would increase.
- The gravitational force would increase.
- The centripetal force would increase.
- The car could not turn without slipping.
- NOTA (None of the Above)
Transcribed Image Text:**Question 5** A right triangle diagram is depicted. The triangle includes the following labeled forces and components: - \( mg \) pointing downward (weight) - \( \frac{mv^2}{r} \) pointing to the left (centripetal force) - \( F_N \) (normal force) as the hypotenuse, angled at 30 degrees to the vertical axis The triangle includes an annotated angle of 30 degrees to the horizontal orientation. **Problem:** In the example shown, if the track radius is 7 meters, what is the velocity of the mass? **Options:** - The velocity is zero (since the force diagram is closed) - Need to know the mass of the car to obtain a numerical answer - 6.29 m/s - 39.56 m/s - 2.51 m/s - NOTA (None of the Above) --- **Question 6** Suppose the car was on the same frictionless track as in Question 5, but the bank angle changed from 30 degrees to 0 degrees (i.e., the track is entirely horizontal). In that case, which statement is true? **Options:** - The (stable and constant) velocity would increase relative to the previous question. - The normal force would increase. - The gravitational force would increase. - The centripetal force would increase. - The car could not turn without slipping. - NOTA (None of the Above)
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