### Problem Statement:**(a)** What is the force (in N) of gravity between two 1225 kg cars separated by a distance of 20.0 m on an interstate highway?\[ \underline{\hspace{2cm}} \, \text{N} \]**(b)** How does this force compare with the weight of a car?- ○ it is larger- ○ it is smaller- ○ it is roughly the same### Explanation:- **Gravitational Force Calculation**: To calculate the gravitational force, you can use Newton's Law of Universal Gravitation: \[ F = \frac{G \cdot m_1 \cdot m_2}{r^2} \] where \(F\) is the gravitational force, \(G\) is the gravitational constant (\(6.674 \times 10^{-11} \, \text{N}(m/kg)^2\)), \(m_1\) and \(m_2\) are the masses of the two cars (1225 kg each), and \(r\) is the distance between the centers of the two cars (20.0 m).- **Comparison with Car Weight**: The question asks you to compare this calculated gravitational force with the weight of a car. The weight \(W\) of a car is calculated using: \[ W = m \cdot g \] where \(m\) is the mass of the car (1225 kg) and \(g\) is the acceleration due to gravity (\(9.81 \, \text{m/s}^2\)).

Given, Mass of the two cars, m = 1225 kg distance between the cars, d = 20.0 m

(a) What is the force (in N) of gravity between two 1225 kg cars separated by a distance of 20.0 m on an interstate highway N (b) How does this force compare with the weight of a car? O it is larger O it is smaller O it is roughly the same

(a) What is the force (in N) of gravity between two 1225 kg cars separated by a distance of 20.0 m on an interstate highway N (b) How does this force compare with the weight of a car? O it is larger O it is smaller O it is roughly the same

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Concept explainers

Special Relativity

The theory of special relativity discusses how space and time are related to objects traveling along a straight line at a constant speed. Simply stated, as an object reaches the speed of light, its mass becomes infinite and it is unable to move faster than light. This interstellar speed limit has been the topic of much debate in astronomy, and also in science fiction when people consider how to fly over large distances.

Question

### Problem Statement:

**(a)** What is the force (in N) of gravity between two 1225 kg cars separated by a distance of 20.0 m on an interstate highway?

\[ \underline{\hspace{2cm}} \, \text{N} \]

**(b)** How does this force compare with the weight of a car?

- ○ it is larger
- ○ it is smaller
- ○ it is roughly the same

### Explanation:

- **Gravitational Force Calculation**: To calculate the gravitational force, you can use Newton's Law of Universal Gravitation:

\[
F = \frac{G \cdot m_1 \cdot m_2}{r^2}
\]

where \(F\) is the gravitational force, \(G\) is the gravitational constant (\(6.674 \times 10^{-11} \, \text{N}(m/kg)^2\)), \(m_1\) and \(m_2\) are the masses of the two cars (1225 kg each), and \(r\) is the distance between the centers of the two cars (20.0 m).

- **Comparison with Car Weight**: The question asks you to compare this calculated gravitational force with the weight of a car. The weight \(W\) of a car is calculated using:

\[
W = m \cdot g
\]

where \(m\) is the mass of the car (1225 kg) and \(g\) is the acceleration due to gravity (\(9.81 \, \text{m/s}^2\)).

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