The gravitational force ratio between the sun and the earth stands at approximately 1: 1580
According to Newton's law of gravitation, the force attracting two bodies can be represented mathematically as follows:
F = Gravitational Force ( Newtons )
G = Gravitational Constant ( 6.67 × 10⁻¹¹ Nm² / kg² )
m = Mass of the Object ( kg )
R = Separation Distance ( m )
Let’s solve this now!
Given:
Earth's radius = Re = 6.4 × 10⁶ m
Earth's mass = Me = 6.0 × 10²⁴ kg
Distance from Sun to Earth = Rs = 147 × 10⁹ m
Sun's mass = Ms = 2.0 × 10³⁰ kg
Requested:
what is the ratio of the gravitational forces of the sun to the earth?
Solution:
Level: High School
Field: Physics
Chapter: Gravitational Fields
Answer:
Maximum emf = 5.32 V
Explanation:
Provided data includes:
Number of turns, N = 10
Radius of loop, r = 3 cm = 0.03 m
It made 60 revolutions each second
Magnetic field, B = 0.5 T
We are tasked to determine the maximum emf produced in the loop, which is founded on Faraday's law. The induced emf can be calculated by:
For the maximum emf,
Therefore,
Hence, the maximum emf generated in the loop is 5.32 V.
Answer:
155.38424 K
2.2721 kg/m³
Explanation:
= Reservoir pressure = 10 atm
= Reservoir temperature = 300 K
= Exit pressure = 1 atm
= Exit temperature
= Specific gas constant = 287 J/kgK
= Specific heat ratio = 1.4 for air
Assuming isentropic flow
Flow temperature at exit is 155.38424 K
Density at exit can be derived using the ideal gas equation
Flow density at exit measures 2.2721 kg/m³
Response:
Clarification:
A converging mirror is generally termed a concave mirror. The focal length and the image distance for a concave mirror are both expressed as positive values.
Using the mirror formula to derive the object distance;
Where f denotes the focal length, u indicates the object distance, and v represents the image distance.
Given f = 30cm, and v = 2u (The formed image is double the size of the pencil)
Plugging these values into the formula to solve for u yields;
By cross-multiplying, we obtain;
2u = 90
Dividing both sides by 2;
2u/2 = 90/2
u = 45cm
The object's distance from the mirror measures 45cm