Calculating Weight - AP Physics C: Electricity and Magnetism

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

We know that the weight of an object is given by:

is the mass of the object and is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

We know that the weight of an object is given by:

is the mass of the object and is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

We know that the weight of an object is given by:

is the mass of the object and is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

We know that the weight of an object is given by:

is the mass of the object and is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

We know that the weight of an object is given by:

is the mass of the object and is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply:

We know that the weight of an object is given by:

is the mass of the object and is the gravitational acceleration of whatever planet the object happens to be on.

We know the gravity on the unkown planet, so the weight of the woman is given by:

We need only to find the mass of the woman to solve the problem. Since the mass of the woman is constant, we can use the information about her weight on Earth to figure out her mass.

Use this mass to solve for her weight on the new planet.

We can use Newton's second law:

Set up equations for the force on the moon and the force on Earth:

Now we can use substitution:

From this, we can see that . Using the acceleration due to gravity on Earth, we can find the acceleration due to gravity on the moon.

The weight of the object on Earth's surface is:

The force on the new planet is five times that on Earth, so we can simply multiply: