Chapter 13: Q3P (page 379)

What must the separation be between a 5.2 kgparticle and a 2.4 kgparticle for their gravitational attraction to have a magnitude of $2.3 \times 10^{- 12} N$ ?

Short Answer

Expert verified

The separation between the two particles must be 19 m

Step by step solution

The given data

Mass of the first particle, $m_{1} = 5.2 kg$

Mass of the second particle, $m_{2} = 2.4 kg$ ;

The gravitational force of attraction between the particles, $F = 2.3 \times 10^{- 12} N$

Understanding the concept of Newton’s law of gravitation

According to Newton’s law of gravitation, the force between two particles is directly proportional to the masses of two particles and inversely proportional to the square of the distance between them.

Formula:

Gravitational force of attraction, $F = \frac{G M m}{r^{2}}$ (i)

Calculating the distance between the two particles

Using equation (i), force between two particles is given by:

$F = \frac{G m_{1} m_{2}}{r^{2}}$

$2.3 \times 10^{- 12} N = \frac{6.67 \times 10^{- 12} N . m^{2} / {kg}^{2} \times 5.2 kg \times 2.4 kg}{r^{2}}$

Now solving for the distance or separation between the particales,:

$r^{2} = \frac{6.67 \times 10^{- 11} \times 5.2 \times 2.4}{2.3 \times 10^{- 12}} r = 19 m$

Hence, the separation between the particles is 19 m .

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What must the separation be between a 5.2 kgparticle and a 2.4 kgparticle for their gravitational attraction to have a magnitude of $2.3 \times 10^{- 12} N$ ?

Short Answer

Step by step solution

The given data

Understanding the concept of Newton’s law of gravitation

Calculating the distance between the two particles

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What must the separation be between a 5.2 kgparticle and a 2.4 kgparticle for their gravitational attraction to have a magnitude of2.3×10-12N?

Short Answer

Step by step solution

The given data

Understanding the concept of Newton’s law of gravitation

Calculating the distance between the two particles

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Physics Textbooks

Rotational Dynamics

Astrophysics

Torque and Rotational Motion

Fundamentals of Physics

Force

Work Energy and Power

Study anywhere. Anytime. Across all devices.

What must the separation be between a 5.2 kgparticle and a 2.4 kgparticle for their gravitational attraction to have a magnitude of $2.3 \times 10^{- 12} N$ ?