I load a 0.4 kg marble into a slingshot and shoot it directly upward by applying a 36.2 N force
1 answer:
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A) Net force in component form:
B) Magnitude of the net force: 316.2, direction:
Explanation:
A)
The three forces given in this problem are:
The three forces are given in component form, where the components with unit vector i is the component along the x-direction, while the components with unit vector j is the component along the y-direction.
In order to find the net force in component form, we just need to add the components of the three forces along each direction. Therefore:
- Along the x-direction:
- Along the y-direction:
So, the net force in component form is
B)
The magnitude of a vector F is given by Pythagorean's theorem:
where in this problem,
is the x-component
is the y-component
Substituting,
The direction instead is given by
where the negative sign means the direction is below the positive x-axis.
Learn more about vector addition:
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