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We are not normally aware of the gravitational or electric force between two ordinary objects. What is the reason in each case? Give an example where we are aware of each one and why.

Short Answer

Expert verified

One is not normally aware of the electric force between two ordinary objects because most of the objects are electrically neutral.

One is unaware of the gravitational force between two ordinary objects because of the small value of universal gravitational constant and masses.

Step by step solution

01

Electric force and Gravitational force

According to Coulomb鈥檚 law, the magnitude of electric force (F) that one small object (having charge\({{\bf{Q}}_{\bf{1}}}\)) exerts on another small object (having charge\({{\bf{Q}}_{\bf{2}}}\)) is directly proportional to the product of the charges on both the objects and inversely proportional to the square of the distance (r) between them.

The expression for Coulomb鈥檚 force is given as:

\(F = k\frac{{{Q_1}{Q_2}}}{{{r^2}}}\)

Here, k is the electrostatic force constant.

According to Newton鈥檚 law of gravitation, the magnitude of gravitational force (F) that one object (having mass\({m_1}\)) exerts on another small object (having mass\({m_2}\)) is directly proportional to the product of the masses on both the objects and inversely proportional to the square of the distance (r) between them.

The expression for gravitational force is given as:

\(F = G\frac{{{m_1}{m_2}}}{{{r^2}}}\)

Here, G is the universal gravitational constant.

02

Explanation of reason for not observing electric force between two ordinary objects.

A person is not normally aware of the electric force between two ordinary objects. This is because ordinary objects contain a large number of electrons and protons but in equal amounts, i.e., they are electrically neutral as a whole.

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Most popular questions from this chapter

Measurements indicate that there is an electric field surrounding the Earth. Its magnitude is about 150 N/C at the Earth鈥檚 surface and points inward toward the Earth鈥檚 center. What is the magnitude of the electric charge on the Earth? Is it positive or negative? (Hint: The electric field outside a uniformly charged sphere is the same as if all the charge were concentrated at its center.)

Two small, identical conducting spheres A and B are a distance Rapart; each carries the same charge Q. (a) What is the force sphere B exerts on sphere A? (b) An identical sphere with zero charge, sphere C, makes contact with sphere B and is then moved very far away. What is the net force now acting on sphere A? (c) Sphere C is brought back and now makes contact with sphere A and is then moved far away. What is the force on sphere A in this third case?

(III) Two small nonconducting spheres have a total charge of \({\bf{90}}{\bf{.0}}\;{\bf{\mu C}}\). (a) When placed 28.0 cm apart, the force each exerts on the other is 12.0 N and is repulsive. What is the charge on each? (b) What if the force were attractive?

Show, using the three rules for field lines given in Section 16鈥8, that the electric field lines starting or ending on a single point charge must be symmetrically spaced around the charge.

Estimate the net force between the CO group and the HN group shown in Fig. 16鈥63. The C and O have charges\({\bf{ \pm 0}}{\bf{.40e}}\)and the H and N have charges\({\bf{ \pm 0}}{\bf{.20e}}\), where\({\bf{e = 1}}{\bf{.6 \times 1}}{{\bf{0}}^{{\bf{ - 19}}}}\;{\bf{C}}\). (Hint: Do not include the 鈥渋nternal鈥 forces between C and O, or between H and N.)

FIGURE 16鈥63 Problem 50

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