Chapter 8: Q.21 (page 199)

The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a $40 - m$ diameter loop-the-loop. What is the car’s speed at the top?

Short Answer

Expert verified

The speed of the roller coaster at the top is $19.8 m / s$

Step by step solution

Given information

Given in the question that, The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a $40 m$ diameter loop-the-loop.

The speed of the car at the top

According to the information,

The value of the diameter is $40 m$

Let's find the radius $' r'$ first:

$r = \frac{D i a m e t e r}{2}$

$r = \frac{40}{2}$

$r = 20 m$

Normal force= Magnitude of gravitational force

That means $F n = m g$

Applying the equation of velocity

Let's apply the given equation to find the car's speed at the top:

$v = \sqrt{2 r g}$

$= \sqrt{2 \times 20 \times 9.8}$

$= 19.79898$

Therefore, the speed of the car at the top is $19.8$

Final answer

The speed of the roller coaster at the top is $19.8 m / s$

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The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a $40 - m$ diameter loop-the-loop. What is the car’s speed at the top?

Short Answer

Step by step solution

Given information

The speed of the car at the top

Applying the equation of velocity

Final answer

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The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a 40-mdiameter loop-the-loop. What is the car’s speed at the top?

Short Answer

Step by step solution

Given information

The speed of the car at the top

Applying the equation of velocity

Final answer

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Wave Optics

Waves Physics

Electromagnetism

Conservation of Energy and Momentum

Nuclear Physics

Rotational Dynamics

Study anywhere. Anytime. Across all devices.

The normal force equals the magnitude of the gravitational force as a roller coaster car crosses the top of a $40 - m$ diameter loop-the-loop. What is the car’s speed at the top?