The Force HC Verma Exercise Questions Solutions Concept of Physics Vol-1 Ch-4 for Class-11. Solution of Exercise Questions  of Ch-4 The Force HC Verma Solutions . Visit official Website CISCE for detail information about ISC Board Class-11 Physics.

## The Force HC Verma Exercise Questions Solutions Concept of Physics Vol-1

 Board ISC and other board Publications Bharti Bhawan Publishers Ch-4 The Forces Class 11 Vol 1st writer H C Verma Book Name Concept of Physics Topics Solution of Exercise Questions Page-Number 63

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Exercise

### The Force HC Verma Exercise Questions Solutions Concept of Physics Vol-1

Page-Number-63

#### Question-1

The gravitational force acting on a particle of 1 g due to a similar particle is equal to 6.67 × 10−17 N. Calculate the separation between the particles. ∴ The separation between the particles is 1 m.

#### Question-2

Calculate the force with which you attract the earth.

Consider that a man is standing on the surface of the Earth.
Force acting on the man =  mg
Where,

m = mass of the man and

g = acceleration due to gravity on the surface of earth (=10 m/s2)

Assume that the mass of the man is equal to 65 kg.
Then F = W = mg = 65 × 10 = 650 N = force acting on the man
∴ By Newton’s third law (action-reaction are always equal), the man is also attracting the earth with a force of 650 N in the opposite direction.

#### Question-3

At what distance should two charges, each equal to 1 C, be placed so that the force between them equals your weight ?

By Coulomb’s law, the force of attraction between the two charges is given by =3333.3  m

∴ The distance r is 3333.3 m.

#### Question-4

Two spherical bodies, each of mass 50 kg, are placed at a separation of 20 cm. Equal charges are placed on the bodies and it is found that the force of Coulomb repulsion equals the gravitational attraction in magnitude. Find the magnitude of the charge placed on either body.

Mass = 50 kg
Separation between the masses, r = 20 cm = 0.2 m
Let the change on each sphere be q. = 4.3×10−9 C

Thus, the charge of the spherical body is 4.3×10−9 C

#### Question-5

A monkey is sitting on a tree limb. The limb exerts a normal force of 48 N and a frictional force of 20 N. Find the magnitude of the total force exerted by the limb on the monkey.

Given: The limb of the tree exerts a normal force of 48 N and a frictional force of 20 N as shown in figure given below. So, resultant magnitude of the force if given by ∴ The magnitude of the total force exerted by the limb on the monkey is 52 N.

#### Question-6

A body builder exerts a force of 150 N against a bull worker and compresses it by 20 cm. Calculate the spring constant of the spring in the bull worker.

Force exerted by the body builder against the bull worker = 150 N
Compression in the bull worker, x = 20 cm = 0.2 m

∴ Total force exerted, f = kx = 150
Here, k is the spring constant of the spring in the bull worker.

∴k=150 / 0.2

= 1500 / 2

= 750 N / m

Hence, the spring constant of the spring in the bull worker is 750 N/m.

#### Question-7

A satellite is projected vertically upwards from an earth station. At what height above the earth’s surface will the force on the satellite due to the earth be reduced to half its value at the earth station? (Radius of the earth is 6400 km.)

Let h be the height, M be the Earth’s mass, R be the Earth’s radius and m be the satellite’s mass .

Force on the satellite due to the earth when it is at the Earth’s surface, #### Question-8

Two charged particles placed at a separation of 20 cm exert 20 N of Coulomb force on each other. What will be the force of the separation is increased to 25 cm?

Two charged particles placed at a separation of 20 cm exert 20 N of Coulomb force on each other. Therefore, the two charged particles will exert a force of 13.0 N on each other, if the separation is increased to 25 cm.

#### Question-9

The force with which the earth attracts an object is called the weight of the object. Calculate the weight of the moon from the following data : The universal constant of gravitation G = 6.67 × 11−11 N−m2/kg2, mass of the moon = 7.36 × 1022 kg, mass of the earth = 6 × 1024 kg and the distance between the earth and the moon = 3.8 × 105 km.

he force between the Earth and the Moon is given by

F = GMm / r²

Where,

M= the mass of the earth;

m = the mass of the moon and

r = the distance between Earth and Moon.

G = gravitational Constant having value G = 6.67 × 11−11 N−m2/kg2

On substituting these values in   F = GMm / r² ∴ The weight of the moon is 2.0×1020N

#### Question-10

Find the ratio of the magnitude of the electric force to the gravitational force acting between two protons.

Charge of the proton, q = 1.6× 11−19C

Mass of the proton = 1.67 × 11−27 kg

Let the distance between two protons be r.
Coulomb force (electric force) between the protons is given by #### Question-11

The average separation between the proton and the electron in a hydrogen atom in ground state is 5.3 × 10−11 m. (a) Calculate the Coulomb force between them at this separation. (b) When the atom goes into its first excited state the average separation between the proton and the electron increases to four times its value in the ground state. What is the Coulomb force in this state?

Average separation between the proton and the electron of a Hydrogen atom in ground state, r = 5.3 × 10−11 m

(a) Coulomb force when the proton and the electron in a hydrogen atom in ground state (b) Coulomb force when the average distance between the proton and the electron becomes 4 times that of its ground state #### Question-12

The geostationary orbit of the earth is at a distance of about 36000 km from the earth’s surface. Find the weight of a 120-kg equipment placed in a geostationary satellite. The radius of the earth is 6400 km.

The geostationary orbit of the Earth is at a distance of about 36000 km. We know that the value acceleration due to gravity above the surface of the Earth is given by For a 120 kg equipment placed in a geostationary satellite, its weight will be mg’ = 120 × 0.233

⇒ 26.76 ≈ 27 N

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