the unit of g is? please give me the answer
she wanted (g) not G
Answers
Answered by
1
The unit of acceleration due to gravity (g) is m/s^2
mark as brainliest if u wish
Answered by
1
The universal Gravitational Constant (G) is 6.67384x10^-11 (N • m²)/(kg²) or 6.67384•10^-¹¹ (m³)/(kg•s²).
Acceleration due to gravity (g) varies with different bodies. However the SI units are typically meters per second squared (m/s²).
The formula for acceleration due to gravity is:
- g = (G•M)/R²
Where:
g is the acceleration due to gravity.
G is the Universal Gravitational Constant (G)
M is the mass of the object (e.g. planet)
R is the distance to the center of mass of the object.
We know that G is the Universal Constant of the Gravitation.
∵ F = Gm₁m₂/r²
∴ G = Fr²/m₁m₂
∴ G = N (m)²/kg.kg
⇒ G = Nm²/kg²
∴ G = Nm²kg⁻²
Hence, the unit of the Universal Constant of Gravitation is Nm²kg⁻².
Now, F = mg
∴ g = F/m
⇒ g = N/kg
⇒ g = kgm/s² . kg
∴ g = m/s²
Hence, the unit of the constant of gravitation is N kg⁻¹.
∵ F = Gm₁m₂/r²
∴ G = Fr²/m₁m₂
∴ G = N (m)²/kg.kg
⇒ G = Nm²/kg²
∴ G = Nm²kg⁻²
Hence, the unit of the Universal Constant of Gravitation is Nm²kg⁻².
Now, F = mg
∴ g = F/m
⇒ g = N/kg
⇒ g = kgm/s² . kg
∴ g = m/s²
Hence, the unit of the constant of gravitation is N kg⁻¹.
Similar questions
Math,
7 months ago
History,
7 months ago
English,
7 months ago
Math,
1 year ago
Social Sciences,
1 year ago
∵ F = Gm₁m₂/r²
∴ G = Fr²/m₁m₂
∴ G = N (m)²/kg.kg
⇒ G = Nm²/kg²
∴ G = Nm²kg⁻²
Hence, the unit of the Universal Constant of Gravitation is Nm²kg⁻².
Now, F = mg
∴ g = F/m
⇒ g = N/kg
⇒ g = kgm/s² . kg
∴ g = m/s²
Hence, the unit of the constant of gravitation is N kg⁻¹.