1. Vector A=71 grams @138 degrees. What is Ax? (x is a subscript)

2. Vector A=71 grams @ 138 degress. What is Ay? (y is a subscript).

Answers:

1. -52.8 (I am not sure if it is the absolute value and I should write it as positive.

2. 47.5

Those answers are correct.

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To find the x-component of a vector given its magnitude and angle, you can use the following formula:

Ax = A * cos(theta)

Where:
Ax is the x-component of the vector
A is the magnitude of the vector
theta is the angle between the vector and the x-axis

For the first question:
Vector A has a magnitude of 71 grams and an angle of 138 degrees. Plugging these values into the formula, we get:

Ax = 71 * cos(138)

Using a calculator to evaluate this expression, we find that Ax is approximately -52.8 grams. Note that the negative sign indicates that the x-component is in the opposite direction of the positive x-axis.

For the second question:
Similarly, to find the y-component of a vector, you can use the formula:

Ay = A * sin(theta)

For Vector A with a magnitude of 71 grams and an angle of 138 degrees:

Ay = 71 * sin(138)

Using a calculator, we find that Ay is approximately 47.5 grams. Since there is no negative sign in front, the y-component is in the positive direction of the y-axis.