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Escape velocity, Meaning (SPM Physics)

The minimum velocity an object needs to completely escape the gravitational pull of a planet or other body.

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EnglishEscape velocity
Bahasa MelayuHalaju lepas
中文逃逸速度

Definition

The minimum velocity an object needs to completely escape the gravitational pull of a planet or other body.

Gravitation

In exam terms

Escape velocity is the minimum velocity an object must be given at a planet's surface so that it completely escapes the gravitational pull without any further propulsion. It is a speed, measured in m s⁻¹, and it depends on the mass and radius of the planet but not on the mass of the escaping object.

It is found by equating the kinetic energy given to the object with the work needed to move it out of the gravitational field, giving v = √(2GM/r). For the Earth its value is about 1.1 × 10⁴ m s⁻¹, so a rocket must reach this speed to leave without falling back.

Do not confuse it with…

Do not confuse escape velocity with orbital velocity. Orbital velocity keeps a satellite going round in a stable orbit, while escape velocity lets an object leave the field entirely; escape velocity is larger, equal to √2 times the orbital velocity at the same radius.

In Paper 2 this is asked as define escape velocity or explain why escape velocity does not depend on the mass of the object. State that mass cancels because both the kinetic energy supplied and the gravitational work required are proportional to the object's mass, so only the planet's mass and radius matter.

Source: DSKP KSSM Physics Form 4 and 5 (Versi English) (Bahagian Pembangunan Kurikulum (BPK), KPM)

Frequently asked questions

Does escape velocity depend on the mass of the object?
No. The mass of the escaping object cancels out, because both the kinetic energy given and the gravitational work needed are proportional to that mass. Only the planet’s mass and radius matter.
What is the escape velocity from the Earth?
It is about 1.1 × 10⁴ m s⁻¹ (roughly 11 km s⁻¹). An object launched slower than this will eventually fall back to the Earth.
Why is escape velocity larger than orbital velocity?
Orbital velocity only balances gravity for circular motion, but escape velocity must supply enough energy to leave the field completely. Escape velocity equals √2 times the orbital velocity at the same radius.

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