Draw a distance over time graph of a dog that is tied to a 4 foot rope and travels in 1 complete circle
1 answer:
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Answer:
Approximately (assuming that this spring is ideal.)
Explanation:
The displacement of a spring is the new length of the spring relative to the original length.
For example:
- When the
-spring in this question is stretched to
, the displacement is
.
- Likewise, if this spring is stretched to
, the displacement would be
.
If this spring is ideal, the force on the spring would be proportional to the displacement of the spring. In other words, if a force of displaces this spring by
, while a force of
displaces this spring by
, then:
.
In this question, it is given that a force of would stretch this spring by
. Thus, the force
required to stretch this spring by
would satisfy:
.
Rearrange and solve for :
.
Answer:
Explanation:
The total force on the particle is given by
Then, by replacing we have:
where the cross product can be made with the determinant method.
Hope this helps!!
1) In a circular motion, the angular displacement 
is given by
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
. Using the information about the radius, 
, we find the total angular displacement:
2) If we put larger tires, with radius
, the angular displacement will be smaller. We can see this by using the same formula. In fact, this time we have:
where S is the arc length and r is the radius. The problem says that the truck drove for 2600 m, so this corresponds to the total arc length covered by the tire:
2) If we put larger tires, with radius