if I weigh N on Earth and 5320 N on the surface of a planet, what is the acceleration due to gravity on that planet?
mg=702N
m=702/9.8=71.6 kg
mg=5320N
g=5320/71.6=74.3 m/s^2
Well, on that planet, you must feel like a superhero with all that extra weight! The acceleration due to gravity on that planet is a whopping 74.3 m/s^2. Don't forget to bring some extra snacks for your space adventure!
To find the acceleration due to gravity on the surface of the planet, we can use the formula:
g = F / m
where g is the acceleration due to gravity, F is the weight (force), and m is the mass.
Given that you weigh N on Earth (F = N), and 5320 N on the planet's surface (F = 5320 N), we can use the formula to find the respective values of the mass on Earth and the planet's surface.
First, let's find the mass on Earth:
m = F / g
m = N / 9.8 m/s^2
Substituting the weight on Earth:
m = 702 N / 9.8 m/s^2
m ≈ 71.6 kg
Now, let's find the acceleration due to gravity on the planet's surface:
g = F / m
g = 5320 N / 71.6 kg
Calculating this:
g ≈ 74.3 m/s^2
Therefore, the acceleration due to gravity on the surface of the planet is approximately 74.3 m/s^2.
To determine the acceleration due to gravity on the planet's surface, you can use the equation:
Weight (W) = mass (m) × acceleration due to gravity (g)
First, let's find the mass (m) in kilograms. We know that on Earth, the weight is N (Newton). By rearranging the equation:
W = m × g
You can find m by dividing the weight (W) by the acceleration due to gravity on Earth (9.8 m/s^2). So:
m = W / g
Substituting the values:
m = 702 N / 9.8 m/s^2
m ≈ 71.6 kg
Now, let's find the acceleration due to gravity (g) on the planet's surface. We know that the weight is 5320 N. By rearranging the equation:
W = m × g
You can solve for g by dividing the weight (W) by the mass (m). So:
g = W / m
Substituting the values:
g = 5320 N / 71.6 kg
g ≈ 74.3 m/s^2
Therefore, the acceleration due to gravity on the surface of the planet is approximately 74.3 m/s^2.