air resistance problem please help tonight!?
A ball of mass 0.5 kg flies through the air at low speed, so that air resistance is negligible.
What is the net force acting on the ball while it is in motion?
Which components of the ball’s momentum will be changed by this force?
What happens to the x component of the ball’s momentum during its flight?
What happens to the y component of the ball’s momentum during its flight?
What happens to the z component of the ball’s momentum during its flight?
In this situation, why is it legitimate to use the formula for average y component of velocity to update the y component of position? Check all that apply
The ball’s velocity changes at a constant rate because the net force on the ball is constant.
This formula for average velocity is always valid.
The ball’s speed is small compared to the speed of light.
can someone just explain it to me im sure i’ll be able to pick it up with the concept
I agree with the previous poster. Upon reading the first sentence, I was just about to state that myself.
1. What is the net force acting on the ball while it is in motion?
The only significant force is gravity. Its magnitude is given by m*g, where m is mass and g is the strength of Earth’s gravitational field. Its direction is obviously downward.
Thus:
Fnet = 4.9 kg
For parts 2, 3, 4, and 5…let’s define +x to be east, +y to be north, and +z to be up (to the sky). Why? Because I said so.
2. Which components of the ball’s momentum will be changed by this force?
Only the vertical component, z.
3. the x-component of the ball’s momentum remains constant, since no x-direction force acts.
4. the y-component of the ball’s momentum remains constant, since no y-direction force acts.
5. the z-component of the ball’s momentum continuously decreases (becomes less positive while ascending, and becomes more negative after the peak of the arc is achieved).
6. In this situation, why is it legitimate to use the formula for average y component of velocity to update the y component of position?
This formula for average velocity is always valid.
However, the average y-direction velocity is the only kind of y-direction velocity that there is during this particular motion. y-direction velocity is constant, and it is useless to even use the adjective “average”.
In any component/situation involving acceleration, the “average velocity” formula is valid, but not useful for updating position. It is better to involve a true double integration of the acceleration function with applied initial conditions of initial velocity and initial position. The formula “x = 1/2*a*t^2 + v0*t + x0″ is an example of this applicable for constant acceleration, a special case.
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