The gravitational field intensity at location X in space is (2/5) of its value on the earth's surface. If the weight of an object at X is 4.80N , what is the weight on the earth?
what is 5/2 * 4.80N?
To find the weight of an object on Earth, we can use the relationship between weight and gravitational field intensity.
Weight = Mass * Gravitational Field Intensity
Let's denote the gravitational field intensity on Earth as "g" and the weight on Earth as "W".
According to the given information, the gravitational field intensity at location X is (2/5) of its value on Earth's surface. So, we can write:
Gravitational Field Intensity at X = (2/5) * g
Now, we know that the weight at location X is 4.80N, so we can substitute these values into the equation:
4.80N = Mass * ((2/5) * g)
Next, we can rearrange the equation to solve for the mass:
Mass = (4.80N) / ((2/5) * g)
Simplifying further:
Mass = 4.80N * (5/2g)
Mass = 12N/g
Now, we can substitute this mass back into the equation for weight to find the weight on Earth:
W = Mass * g
W = (12N/g) * g
W = 12N
Therefore, the weight of the object on Earth is 12N.
To solve this problem, we need to understand the relationship between weight, gravitational field intensity, and mass.
Weight is the force with which a mass is attracted towards the center of the Earth due to its gravitational pull. It is given by the equation:
Weight = Mass × Gravitational Field Intensity
In this problem, we are given that the weight of an object at location X in space is 4.80N, and the gravitational field intensity at X is 2/5 of its value on the Earth's surface. Let's assume that the weight on Earth is W.
Using the equation above, we can write two equations:
Weight at X = Mass × Gravitational Field Intensity at X (1)
Weight on Earth = Mass × Gravitational Field Intensity on Earth (2)
We are given that the Weight at X is 4.80N, and the Gravitational Field Intensity at X is (2/5) of its value on Earth's surface. Plugging these values into equation (1), we have:
4.80N = Mass × (2/5) × Gravitational Field Intensity on Earth
Now, let's solve for the Weight on Earth (W). Rearranging the equation, we get:
Mass × Gravitational Field Intensity on Earth = (5/2) × 4.80N
Weight on Earth = (5/2) × 4.80N / Gravitational Field Intensity on Earth
Since we don't have the exact value of the Gravitational Field Intensity on Earth, we cannot calculate the weight on Earth with this information alone.