9. There is a vector H with x component = -250[g] and y component = 70[g].
What is the magnitude of H?
sqrt [(-250)^2 + (70)^2]= 259.6
I don't see the significance of the [g] notation. The dimensions of a vectors would not be grams. Mass is not a vector.
You are correct that the [g] notation is not relevant for the dimensions of a vector. The notation [g] typically represents grams, which is a unit of mass. However, mass is not a vector quantity, and therefore, it does not have components in different directions like a vector.
In the given question, the components of the vector H are specified as x = -250 and y = 70. These values represent the magnitudes of the components of the vector in the x and y directions. To find the magnitude of the vector H, we can use the Pythagorean theorem.
The Pythagorean theorem states that for a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides. In the case of the vector H, we can consider the x and y components as the two sides of a right triangle, and the magnitude of H as the hypotenuse.
So, the magnitude of H can be calculated using the formula:
magnitude of H = sqrt(x^2 + y^2)
Plugging in the values x = -250 and y = 70 into the formula, we get:
magnitude of H = sqrt((-250)^2 + (70)^2)
Simplifying this expression, we get:
magnitude of H = sqrt(62500 + 4900) = sqrt(67400) ≈ 259.6
Therefore, the magnitude of vector H is approximately 259.6.