The question is incomplete. Here is the complete question.
A spring with a spring constant of 68 newtons per meter hangs from a ceiling. Whena 12-newton downward force is applied to the free end of the spring, the spring streches a total distance of
(1) 5.7m
(2) 0.59m
(3) 820m
(4) 0.18m
Answer: (4) 0.18 m
Explanation: The force necessary to compress or extend a spring by a displacement is directly proportional to that distance and the spring's constant. This relationship is stated by a principle called <u>Hooke's</u> <u>Law</u>:
k is spring constant, which shows how stiff the spring is and so, is characteristic of each spring;
x is total displacement;
The negative sign on the formula indicates the restoring force caused by the spring is in opposite direction related to the force and it is why the displacement occurs.
So, for the spring in the question above:
When a 12 N force is applied to the spring, it streches 0.18 m.
a. Speed is defined as rate of change of distance per unit time whereas velocity is defined as rate of change of displacement per unit time.
b. is the total time taken in the trip
c. is the total distance
d. towards right from the starting point.
e.
f. towards right.
Explanation:
a.
Speed is a scalar quantity while velocity is a vector quantity.
Speed is defined as rate of change of distance per unit time whereas velocity is defined as rate of change of displacement per unit time.
Speed is a directionless quantity while velocity constitutes direction.
b.
<em>Total time of round trip when we're given:</em>
- distance travelled to the right,
- speed while travelling to the right,
- time spent at gas station,
- time spent while travelling back towards the left,
- speed while travelling to the left,
<em>Now time taken for travelling towards right:</em>
<u>Therefore total time taken in the round trip:</u>
c.
<em>Now, distance travelled towards left:</em>
<u>Therefore total distance:</u>
d.
Now, total displacement:
towards right from the starting point.
e.
<u>Average speed:</u>
f.
<u>Average velocity:</u>
towards right.