person weighs 526 N on Earth. Another planet has twice the mass of Earth and Twice the radius of Earth.
Find the weight on the other planet. I need help with a formula too.
force =kM/r^2= 2x/(2)^2x=1/2
so what is 1/2 526
Amar has a weight of 600N on Earth . what is his weight on mercury?
To find the weight on the other planet, we can use the formula for gravitational force:
F = (G * m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.672 * 10^-11 N*m^2/kg^2)
m1 is the mass of the first object (the person)
m2 is the mass of the second object (the planet)
r is the distance between the centers of the two objects
In this case, since the person's mass is not given, we can calculate their weight using the formula:
Weight = mass * gravitational acceleration
On Earth, the gravitational acceleration is approximately 9.8 m/s^2.
Let's calculate the weight on the other planet step-by-step:
Step 1: Calculate the mass of the person on Earth.
Weight (on Earth) = 526 N
Gravitational acceleration (on Earth) = 9.8 m/s^2
Weight (on Earth) = mass (on Earth) * gravitational acceleration (on Earth)
So, mass (on Earth) = Weight (on Earth) / gravitational acceleration (on Earth)
Step 2: Calculate the mass of the person on the other planet.
Since the mass of the person doesn't change, the mass (on the other planet) is the same as the mass (on Earth).
Step 3: Calculate the weight on the other planet.
Gravitational acceleration (on the other planet) = ?
To find the gravitational acceleration on the other planet, we can use the formula:
g' = (G * M) / r^2
Where:
g' is the gravitational acceleration on the other planet
G is the gravitational constant
M is the mass of the other planet
r is the radius of the other planet
Given that the other planet has twice the mass and twice the radius of Earth, we have:
M (other planet) = 2 * M (Earth)
r (other planet) = 2 * r (Earth)
Now, let's calculate the gravitational acceleration on the other planet:
g' = (G * M) / r^2
g' = (G * (2 * M (Earth))) / (2 * r (Earth))^2
Step 4: Calculate the weight on the other planet using the mass and the gravitational acceleration.
Weight (on the other planet) = mass (on the other planet) * gravitational acceleration (on the other planet)
Now, we can plug in the values and solve for weight on the other planet.
To find the weight on another planet, we need to use the formula for gravitational force:
F = G * (m1 * m2) / r^2
Where:
F is the gravitational force
G is the gravitational constant (approximately 6.674 × 10^-11 N·(m/kg)^2)
m1 is the mass of the first object
m2 is the mass of the second object
r is the distance between the centers of the two objects
In this case, we're comparing the weight of the person on Earth to their weight on another planet, so we can consider the person as the first object (m1) and the planet as the second object (m2).
Now let's calculate the weight on the other planet:
1. Determine the mass of the person:
Weight on Earth (W) = 526 N
On Earth, weight (W) = mass (m) * gravitational acceleration (g)
We know that gravitational acceleration on Earth is approximately 9.8 m/s^2.
So, m = W / g = 526 N / 9.8 m/s^2
2. Calculate the gravitational force on the other planet:
The planet has twice the mass (m2) and twice the radius (r) of Earth, but the gravitational constant (G) remains the same.
Therefore, the mass of the person (m1) remains the same, and only the mass of the planet (m2) and the radius of the planet (r) change.
3. Calculate the weight on the other planet:
Weight on the other planet (W') = G * (m1 * m2) / r^2
Remember that G is a constant and the mass of the person (m1) remains the same.
So, the weight on the other planet can be calculated using the above formula.