Answer:
The change in momentum of the two cars is equal and opposite
Explanation:
The change in momentum of an object is given by:
where
m is the mass of the object
is the change in velocity
According to Newton Laws of motion, the force experienced by an object is equal to the rate of change of its momentum:
(1)
where
is the time interval during which the force is applied.
According to Newton's third law of motion, the force exerted by vehicle 1 on vehicle 2 during the collision is equal and opposite to the force exerted by vehicle 2 on vehicle 1. Therefore, we can write:
Using (1), we can rewrite this as:
Where are the changes in momentum of car 1 and 2, and is the duration of the collision. Simplifying, we get
So, the change in momentum of the two cars is equal and opposite.
B. heat is correct answer
Answer:
See description
Explanation:
Frist we need to know the longitude of tape which is unwinding. Such relationship can be obtained with arc length. An arc length is the distance bewteen two points in a curve.
The relationship is:
Where is the arc length or distance, theta is the angle that results from the initial point of the measure to the final point, and r is the radius of a circumference.
Now let be length the unwinded tape. Change by and you ge the relationship:
if you unwind the tape by one revolution () you get the perimeter of a cricle , if you unwind it two times then and so on.
Then we have that the derivative of is
so we replace:
the derivative of theta with respect to t is ω(t) by definition:
The result is the relationship between angular velocity and the velocity and tangential velocity at the point r
Answer:
gym and gym work 6.30 and I have been a very good friend a
Answer:
0.03924 m
Explanation:
Let g = 9.81 m/s2. Let x be the maximum distance that the spring will stretch. And let the potential energy reference point be at the the lower end where the spring is stretched to the maximum. Using mechanical energy conservation we have the following:
- At the bottom end where the spring is stretched to maximum: potential and kinetic energy is 0. Elastic energy is
- At the point where the weight is placed: potential energy is mgx, kinetic energy and elastic energy is 0 (because the spring is not stretched)