A collar A of mass m is moving with a speed v when it strikes an identical collar B that is at rest. Knowing that the coefficien
t of restitution between the collars is e. Identify the correct relation for the energy lost in the impact as a function of m, e, and v.
1 answer:
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The velocity of the object is zero (the object is at rest)
Explanation:
A position vs time graph represents the motion of an object; in particular:
- The position of the object x(t) is represented on the y-axis
- The time t is represented on the x-axis
For a position-time graph, the slope of the graph is given by
where
is the change in position
is the change in time
However, we see that this is equivalent to the definition of velocity:
Therefore, the slope of a position-time graph is equivalent to the velocity of the object.
And so, a horizontal segment on a position vs time graph means that the object has zero velocity (because the slope is zero).
Learn more about velocity:
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Answer:
Explanation:
Newton's 2nd Law relates the net force <em>F</em> on an object of mass <em>m </em>with the acceleration <em>a</em> it experiments by <em>F=ma.</em> In our case the net force is the friction force, since it's the only one the skier is experimenting horizontally and the vertical ones cancel out since he's not moving in that direction. Our acceleration then will be:
Also, acceleration is defined by the change of velocity in a given time t, so we have:
Since we want the change in velocity, <em>mixing both equations</em> we conclude that:
Which for our values means: