1. A boy rubs his dog with a balloon. The dog gets 20,000 extra electrons.a. What is the charge on the dog?b. Then the boy rubs a piece of silk on his cat. The cat LOSES 30,000 electrons to the silk. What is thecharge on the CAT?c. Finally, the boy places his cat (20 kg) on frictionless ice and he places his dog (35 kg) standing 2maway on the edge of the ice.i. Calculate the electrostatic force on the CAT from the DOG. Do they ATTRACT or REPEL?ii. What is the initial acceleration of the cat?iii. What is the electrostatic force on the DOG from the CAT? Why is this answer the same as ordifferent from “i”?iv. What is the initial acceleration of the dog? Why is this answer the same as or different from “ii”?
Question
- A boy rubs his dog with a balloon. The dog gets 20,000 extra electrons.a. What is the charge on the dog?b. Then the boy rubs a piece of silk on his cat. The cat LOSES 30,000 electrons to the silk. What is thecharge on the CAT?c. Finally, the boy places his cat (20 kg) on frictionless ice and he places his dog (35 kg) standing 2maway on the edge of the ice.i. Calculate the electrostatic force on the CAT from the DOG. Do they ATTRACT or REPEL?ii. What is the initial acceleration of the cat?iii. What is the electrostatic force on the DOG from the CAT? Why is this answer the same as ordifferent from “i”?iv. What is the initial acceleration of the dog? Why is this answer the same as or different from “ii”?
Solution
a. The charge on the dog can be calculated using the formula Q = ne, where n is the number of electrons and e is the charge of one electron. The charge of one electron is -1.6 x 10^-19 Coulombs. So, the charge on the dog is Q = 20000 x -1.6 x 10^-19 = -3.2 x 10^-15 Coulombs.
b. The charge on the cat can be calculated in the same way. However, since the cat loses electrons, the charge will be positive. So, the charge on the cat is Q = 30000 x 1.6 x 10^-19 = 4.8 x 10^-15 Coulombs.
c. i. The electrostatic force between the cat and the dog can be calculated using Coulomb's law, which is F = kQ1Q2/r^2, where k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), Q1 and Q2 are the charges, and r is the distance between them. So, the force is F = 8.99 x 10^9 x -3.2 x 10^-15 x 4.8 x 10^-15 / (2^2) = -2.16 x 10^-26 N. The negative sign indicates that the force is attractive.
ii. The initial acceleration of the cat can be calculated using Newton's second law, which is F = ma, where m is the mass and a is the acceleration. So, the acceleration is a = F/m = -2.16 x 10^-26 / 20 = -1.08 x 10^-28 m/s^2.
iii. According to Newton's third law, the force on the dog from the cat is equal in magnitude and opposite in direction to the force on the cat from the dog. So, the force on the dog is also -2.16 x 10^-26 N.
iv. The initial acceleration of the dog can be calculated in the same way as the cat's. So, the acceleration is a = F/m = -2.16 x 10^-26 / 35 = -6.17 x 10^-29 m/s^2. This is smaller than the cat's acceleration because the dog is heavier.
Similar Questions
3. One balloon with 15,000 extra electrons is forced to touch an identical sized balloon with 3,000 extraelectrons.© 2023, Joanne C. Klouda, et. al, All Rights Reserveda. After the balloons reach static equilibrium (i.e. they share all excess charge equally), how many extraelectrons will each balloon have?b. What will be the charge on each balloon after they reach equilibrium?c. Will the balloons attract or repel each other? ATTRACT REPELd. If the balloons are 4 m apart, what is the magnitude of the electrostatic force they put on each other?
A silk cloth gains electrons when rubbed over a glass rod. A different glass rod gains electrons when rubbed with rabbit fur. What will happen if the two charged glass rods approach one another and why? A. The rods will repel each other because they have unlike charges. B. There will be no reaction between the rods. C. The rods will attract each other because they are both positively charged. D. The rods will attract each other because they have unlike charges. E. The rods will repel each other because they have like charges.
1 For coulomb force to be operative the least size of the atom will be a) 10ି଼ m b) 10ିଵହ m c) 10ିଵ m d) 10ିଵଶ m 2 A conducting sphere of radius 10 cm is charged with 10 μC. Another uncharged sphere of radius 20 cm is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of a) 1: 1 b) 2: 1 c) 1: 3 d) 1: 2 3 When 10ଵଽ electrons are removed from a neutral metal plate, the electric charge on it is a) - 1.6 C b) 10ାଵଽ C c) +1.6 C d) 10ିଵଽ C 4 A charge q is placed at the center of the line joining two equal charges Q. The system of the three charges will be in equilibrium if q is equal to a) ொ ହ b) ொ ଶ c) ொ ସ d) ିொ ସ 5 A parallel plate air capacitor is charged to a potential difference of V volt. After disconnecting the charging battery, the distance between the plates of the capacitor is increased using an insulating handle. As a result, the potential difference between the plates. a) does not change b) increases c) becomes zero d) decreases 6 Which of the following is not the property of equipotential surfaces? a) They are concentric spheres for uniform electric fields. b) They can be imaginary spheres. c) They do not cross each other. d) Rate of change of potential with distance on them is zero.
What effect does the electrostatic force have?A.Particles of different masses repel each other.B.Particles without charge repel each other.C.Particles of the same charge repel each other.D.Particles of opposite charge repel each other.
Question 7 of 10How does the electric force between two charged particles change if one particle's charge is increased by a factor of 2?A.It is decreased by a factor of 4.B.It is increased by a factor of 4.C.It is decreased by a factor of 2.D.It is increased by a factor of 2.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.