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Escape velocity is:
  • a)
    The minimum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and never returns back on its own.
  • b)
    The minimum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and returns back
  • c)
    The maximum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and returns back.
  • d)
    The maximum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and never returns back on its own
Correct answer is option 'A'. Can you explain this answer?
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Escape velocity is:a)The minimum velocity with which the body has to b...
Escape velocity is the minimum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and never returns back on its own.
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Escape velocity is:a)The minimum velocity with which the body has to b...
Escape velocity is:

The escape velocity is the minimum velocity with which a body must be projected vertically upwards from the surface of the Earth in order to escape the gravitational field of the Earth and never return on its own.

Explanation:

In order to understand the concept of escape velocity, it is important to first understand the influence of gravity on objects. Gravity is the force that attracts objects towards the center of the Earth. When an object is thrown upwards, it experiences a deceleration due to gravity until it reaches its maximum height, and then it starts to accelerate downwards until it lands back on the Earth's surface.

Gravity and projectile motion:

When an object is projected vertically upwards, it follows a curved path known as a projectile motion. Gravity acts as a downward force, causing the object to decelerate until it comes to a momentary stop at its maximum height. At this point, the object's velocity is zero. Then, gravity starts to accelerate the object downwards, causing it to gain velocity as it falls back towards the Earth's surface.

Escape velocity:

The escape velocity is the minimum velocity required for an object to overcome the gravitational pull of the Earth and never return back on its own. This means that once the object reaches this velocity, it will continue moving away from the Earth indefinitely.

Factors affecting escape velocity:

The escape velocity depends on two factors:

1. Mass of the Earth: The larger the mass of the Earth, the greater the escape velocity required. This is because a larger mass creates a stronger gravitational field.

2. Radius of the Earth: The smaller the radius of the Earth, the greater the escape velocity required. This is because a smaller radius means that the object is closer to the center of the Earth, experiencing a stronger gravitational force.

Calculating escape velocity:

Escape velocity can be calculated using the formula:

v = sqrt((2 * G * M) / R)

where:
- v is the escape velocity
- G is the gravitational constant
- M is the mass of the Earth
- R is the radius of the Earth

By plugging in the values for G (6.67 x 10^-11 Nm^2/kg^2), M (5.97 x 10^24 kg), and R (6.37 x 10^6 m), we can calculate the escape velocity, which comes out to be approximately 11.2 km/s.

Therefore, the correct answer is option 'A' - The minimum velocity with which the body has to be projected vertically upwards from the surface of the Earth so that it crosses the gravitational field of the Earth and never returns back on its own.
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Escape velocity is:a)The minimum velocity with which the body has to b...
A.
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Escape velocity is:a)The minimum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and never returns back on its own.b)The minimum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and returns backc)The maximum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and returns back.d)The maximum velocity with which the body has to be projected vertically upwards from the surface of the earth so that it crosses the gravitational field of earth and never returns back on its ownCorrect answer is option 'A'. Can you explain this answer?
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