A roller coaster car of mass 90 kg has two people seated in it whose combined mass is 130 kg. If the height of point A from the
1 answer:
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1) Magnitude of the net force: 20.8 N
2) Angle: clockwise from positive x-direction
Explanation:
1)
First of all, we need to find the components of the resultant force along the horizontal and vertical direction.
We observe that there are two forces acting along the horizontal direction:
We notice that they act in opposite directions, so the net force in the horizontal direction is the difference between these two forces:
(to the right)
Instead, there is only one force acting in the vertical direction, so the net force in the vertical direction is:
(downward)
Therefore, the magnitude of the net force can be found by using Pythagorean's theorem:
2)
Now we have to find the angle of the resultant net force. We can do it by using the following equation:
where
is the angle, measured as clockwise from the positive x-direction (because the vertical net force is downward)
is the vertical net force
is the horizontal net force
Solving, we find:
And so the angle is
In a direction down with respect to the right.
Learn more about forces:
About addition of vectors:
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Answer:
Explanation:
Assuming no energy lost, according to the law of conservation of energy, the kinetic energy of the automobile becomes potential energy after the crash:
Here m is the automobile's mass, v is the speed of the car before impact, k is the "bumper" constant and x is the compression of the bumper due to the collision. Solving for v: