In the picture above, a roller coaster car with a mass of 400 kg rolls through point A with a speed of 20 m/s. What is the force (in N) upward from the track at point A? (Hint: treat the car's motion at point A like uniform circular motion; based on its mass and speed, what force is needed to make it move in a circular path? Add the car's weight to this value.)

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Chapter1: Units, Trigonometry. And Vectors
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In the picture above, a roller coaster car with a mass of 400 kg rolls through point A with a speed of 20 m/s. What is the force (in N) upward from the track at point A? (Hint: treat the car's motion at point A like uniform circular motion; based on its mass and speed, what force is needed to make it move in a circular path? Add the car's weight to this value.)

The image illustrates a segment of a roller coaster with two highlighted points, A and B, showing measurements of the circular paths at these points.

1. **Point A**: 
   - Located at the base of a dip in the roller coaster track.
   - The circular path at this point has a radius of 10 meters (10 m).

2. **Point B**:
   - Situated at the peak of a hill on the roller coaster track.
   - The circular path at this point has a radius of 15 meters (15 m).

The image depicts a classic roller coaster structure with wooden supports and green foliage surrounding the area. This serves to demonstrate concepts related to circular motion and physics principles involved in roller coaster design, such as centripetal force and gravitational potential energy.
Transcribed Image Text:The image illustrates a segment of a roller coaster with two highlighted points, A and B, showing measurements of the circular paths at these points. 1. **Point A**: - Located at the base of a dip in the roller coaster track. - The circular path at this point has a radius of 10 meters (10 m). 2. **Point B**: - Situated at the peak of a hill on the roller coaster track. - The circular path at this point has a radius of 15 meters (15 m). The image depicts a classic roller coaster structure with wooden supports and green foliage surrounding the area. This serves to demonstrate concepts related to circular motion and physics principles involved in roller coaster design, such as centripetal force and gravitational potential energy.
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