a force vector f has a magnitude of 12.0 n. it is oriented 60° to the left of the y ax what are its x and y components?
1 answer:
The force vector that has a magnitude of 12.0 N. and is oriented 60° to the left of the (y) has the followings components:
- v(x) =6 N
- v(y) = 10.39 N
To solve this exercise the formulas and procedures we will use are:
- v(x) = v * cosine (angle)
- v(y) = v * sine (angle).
Where:
- v= magnitude of the vector
- v(x) = component of the vector on the (x) axis
- v(y) = component of the vector on the (y) axis
- angle = angle
Information about the problem:
- angle = 60º
- v = 12.0 N
- v(x)= ?
- v(y)= ?
Applying the formula of the component of the vector in the (x) axis we have:
v(x) = v * cosine (angle).
v(x) = 12.0 N * cosine (60º)
v(x) =6 N
Applying the formula of the component of the vector in the (y) axis we have:
v(y) = v * sine (angle)
v(y) = 12.0 N * sine (60º)
v(y) = 10.39 N
<h3>What is a vector?</h3>It can be said to be a straight line described by a point (a) and (b) that has direction and sense.
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Units of impulse: N • s, kg • meters per second
Explanation:
Impulse is defined in two ways:
1)
Impulse is defined as the product between the force exerted in a collision and the duration of the collision:
where
F is the force
is the time interval
Since the force is measured in Newtons (N) and the time is measured in seconds (s), the units for the impulse are
So,
N • s
2)
Impulse is also defined as the change in momentum experienced by an object:
where the change in momentum is given by
where m is the mass and is the change in velocity.
The mass is measured in kilograms (kg) while the change in velocity is measured in metres per second (m/s), therefore the units for impulse are
so,
kg • meters per second
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