Question

# Two objects of different masses falling freely near the surface of the earth would:

- Have same velocities at any instant
- Have different accelerations
- Experience forces of the same magnitude
- Undergo a change in their inertia

Hint:

### Velocity depends on the acceleration due to gravity.

## The correct answer is: Have same velocities at any instant

The correct option is** a)Have same velocities at any instant.**

In free fall, velocity depends only on acceleration due to gravity. Acceleration due to gravity is independent of the mass of the object. Therefore, the gravitational pull of the moon applies the same acceleration to both objects. Therefore, it will always have the same velocity regardless of mass. The force depends on the mass, and since the bodies have different masses here, no two will experience the same force.

### Related Questions to study

### The value of gravitational acceleration is:

### The value of gravitational acceleration is:

### Calculate the force of gravitation due to earth on a man of mass 100 kg standing on the ground.

### Calculate the force of gravitation due to earth on a man of mass 100 kg standing on the ground.

### Why does the earth not seem to move towards an apple falling towards it?

The correct option is **c)The acceleration gained by the earth is not sufficient for its motion to be apparent.**

Acceleration is inversely proportional to mass, so gravitational acceleration can be ignored.

The apple falls to the earth, but the earth does not move towards the apple because acceleration is inversely proportional to mass. The Earth's mass is very large compared to the apple, so the acceleration towards the apple is negligible.

### Why does the earth not seem to move towards an apple falling towards it?

The correct option is **c)The acceleration gained by the earth is not sufficient for its motion to be apparent.**

Acceleration is inversely proportional to mass, so gravitational acceleration can be ignored.

The apple falls to the earth, but the earth does not move towards the apple because acceleration is inversely proportional to mass. The Earth's mass is very large compared to the apple, so the acceleration towards the apple is negligible.

### The pull exerted by the Earth on a body of mass 1 kg is ___ N.

The correct option is c)9.8.

From Newton's law of universal gravitation, we know that the gravitational force between objects is given by the following formula:

$Mass of earth=M= 6.0×10kg$

$m=1kg$

$R= 6.4 x 106$

$G= 6.67 x 10-11 Nm2 /kg$

$Substituting the values we get,$

$F=9.8 N$

### The pull exerted by the Earth on a body of mass 1 kg is ___ N.

The correct option is c)9.8.

From Newton's law of universal gravitation, we know that the gravitational force between objects is given by the following formula:

$Mass of earth=M= 6.0×10kg$

$m=1kg$

$R= 6.4 x 106$

$G= 6.67 x 10-11 Nm2 /kg$

$Substituting the values we get,$

$F=9.8 N$

### Gravitational force attracts the earth and the moon to each other. The earth attracts the moon with the following force:

The correct option is b)Same as that exerted by the moon.

Let m and M be the masses of the moon and the earth separated by a distance r.

Force of attraction that earth exert on moon=

Force of attraction that moon exert on earth=

This shows that they both exert same pressure on each other.

### Gravitational force attracts the earth and the moon to each other. The earth attracts the moon with the following force:

The correct option is b)Same as that exerted by the moon.

Let m and M be the masses of the moon and the earth separated by a distance r.

Force of attraction that earth exert on moon=

Force of attraction that moon exert on earth=

This shows that they both exert same pressure on each other.