Respuesta :
The angular momentum can be found by the formula:
L = m · v · r
Where:
m = mass of Earth = 5.972×10²⁴ kg
v = velocity of Earth around the Sun = 2.978×10⁴ m/s
r = distance from Sun = 1.496×10¹¹ m
Now, apply the formula:
L = 5.972×10²⁴ · 2.978×10⁴ · 1.496×10¹¹
= 2.661×10⁴⁰ kg·m²/s
The angular momentum of Earth in its motion around the Sun is 2.661×10⁴⁰ kg·m²/s.
L = m · v · r
Where:
m = mass of Earth = 5.972×10²⁴ kg
v = velocity of Earth around the Sun = 2.978×10⁴ m/s
r = distance from Sun = 1.496×10¹¹ m
Now, apply the formula:
L = 5.972×10²⁴ · 2.978×10⁴ · 1.496×10¹¹
= 2.661×10⁴⁰ kg·m²/s
The angular momentum of Earth in its motion around the Sun is 2.661×10⁴⁰ kg·m²/s.
Is known:
m = Earth's mass = 5.972 × 10²⁴ kg
v = the speed of the Earth around the Sun = 2,978 × 10⁴ m / s
r = distance from the Sun = 1.496 × 10¹¹ m
Asked:
L?
Answer:
L = m · v · r
L = 5,972 × 10²⁴ · 2,978 × 10⁴ · 1,496 × 10¹¹
L = 2,661 × 10⁴⁰ kg · m² / s
So, the angular momentum of the Earth in its motion around the Sun is 2.661 × 10⁴⁰ kg · m² / s.
Further Explanation
In physics, momentum is a quantity related to the velocity and mass of an object. in classical mechanics, momentum (denoted by P) is defined as the product of mass and velocity, thus producing vectors.
The momentum of an object (P) having mass m and moving with velocity v is defined as:
P = mv
Mass is a scalar quantity, while velocity is a vector quantity. Multiplication of scalar quantities with vector quantities will produce vector quantities. So, momentum is a vector quantity. The momentum of a particle can be seen as a measure of the difficulty of settling an object. For example, a heavy truck has greater momentum than a light car that moves at the same speed. Greater force is needed to stop the truck compared to a lightweight car in a certain amount of time. (The magnitude of mv is sometimes expressed as linear momentum of the particle to distinguish it from angular momentum).
Speed is a vector quantity that shows how fast an object is moving. The magnitude of this vector is named speed and is expressed in units of meters per second (m / s or ms − 1). The mass may be a property of an object that's accustomed to explain the varied behaviors of the item being monitored. In everyday use, mass is typically synonymous with weight. But in keeping with modern scientific understanding, the burden of an object is caused by the interaction of mass with the field
Learn more
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Details
Grade: College
Subject: Physics
keywords: momentum