An object weighs 480 N on earth. what would its weight be on a planet whose mass is twice the mass and half the ratio of the earth?
To find the weight of the object on the given planet, we need to know its mass and the gravitational acceleration on that planet.
Let's break down the problem step by step:
Step 1: Find the mass of the object on Earth.
Weight is defined as the force exerted on an object due to gravity, and it is given by the formula:
Weight = mass × gravitational acceleration
We are given that the weight of the object on Earth is 480 N. Let's assume the gravitational acceleration on Earth is represented by 'g'.
Weight = mass × g
Step 2: Find the mass of the object on Earth.
Rearranging the formula, we have:
mass = Weight / g
Since the weight is given as 480 N and we know the value of 'g' for Earth (approximately 9.8 m/s^2), we can substitute these values to find the mass on Earth.
Step 3: Calculate the gravitational acceleration on the given planet.
The problem states that the planet has twice the mass of Earth and half the ratio. So, the ratio of the gravitational acceleration on the given planet to that on Earth is 1/2.
Let's represent the gravitational acceleration on the new planet as 'g_new.'
g_new = (1/2) * g
Step 4: Calculate the weight of the object on the given planet.
Now, we can use the mass we calculated in Step 2 and the gravitational acceleration of the new planet (g_new) to find the weight of the object on the given planet.
Weight_new = mass × g_new
Substituting the values we have, we can calculate the weight of the object on the given planet.
By following these steps, we can determine the weight of the object on a planet whose mass is twice the mass and half the ratio of Earth.