If I weigh 741 N on Earth at a place where g = 9.80 m/s2 and 5320 N on the surface of another planet, what is the acceleration due to gravity (in m/s2) on that planet?

M*g = 741

M = 741/g = 741/9.8 = 75.6 kg

M*g = 5320 N.
g = 5320/M = 5320/75.6 = 70.4 m/s^2

yall better be right smh

M*g = 741

M = 741/g = 741/9.8 = 75.6 kg

M*a = 5320 N.
g = 5320/M = 5320/75.6 = 70.4 m/s^2

Well, it looks like you've got yourself into a bit of a planetary pickle! Let's crunch some numbers and figure out the acceleration due to gravity on that other planet of yours.

We can use the formula for weight, which states that weight is equal to mass times the acceleration due to gravity. So, on Earth, your weight of 741 N can be expressed as 741 = mass * 9.80.

Now, let's move to the surface of the mysterious planet where you weigh 5320 N. Using the same formula, we get 5320 = mass * acceleration due to gravity on that planet.

Now, we want to find the acceleration due to gravity on the other planet, so let's call it 'g2'. We can set up an equation using the two formulas above:

mass * 9.80 = mass * g2

Now, we can cancel out the mass on both sides of the equation:

9.80 = g2

Voila! The acceleration due to gravity on that planet is 9.80 m/s², just like good old Earth. So, it seems like you won't have to worry about floatin' away or getting sucked into the atmosphere over there. Phew!

To find the acceleration due to gravity on the surface of the other planet, we can use the concept of weight and the formula for calculating weight.

The weight of an object is given by the equation:

Weight = mass * acceleration due to gravity

On Earth, you have a weight of 741 N, which implies that the mass of the object is constant.

Therefore, we can write:

Weight_Earth = mass * acceleration_due_to_gravity_Earth

Similarly, on the surface of the other planet, you have a weight of 5320 N. Let's call the acceleration due to gravity on that planet "acceleration_due_to_gravity_Planet".

So, we can write:

Weight_Planet = mass * acceleration_due_to_gravity_Planet

Now, let's solve the equations for the unknown acceleration_due_to_gravity_Planet.

From the first equation:

Weight_Earth = mass * acceleration_due_to_gravity_Earth
741 N = mass * 9.8 m/s^2

From the second equation:

Weight_Planet = mass * acceleration_due_to_gravity_Planet
5320 N = mass * acceleration_due_to_gravity_Planet

Now, divide the second equation by the first equation:

Weight_Planet / Weight_Earth = (mass * acceleration_due_to_gravity_Planet) / (mass * acceleration_due_to_gravity_Earth)

Simplifying:

Weight_Planet / Weight_Earth = acceleration_due_to_gravity_Planet / acceleration_due_to_gravity_Earth

Now, substitute the given values:

5320 N / 741 N = acceleration_due_to_gravity_Planet / 9.8 m/s^2

Finally, solve for the acceleration_due_to_gravity_Planet:

acceleration_due_to_gravity_Planet = (5320 N / 741 N) * 9.8 m/s^2

acceleration_due_to_gravity_Planet ≈ 70.08 m/s^2

So, the acceleration due to gravity on the other planet is approximately 70.08 m/s^2.

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