The spring constant is 181.0 N/m
Explanation:
We can solve the problem by applying the law of conservation of energy. In fact, the elastic potential energy initially stored in the compressed spring is completely converted into gravitational potential energy of the dart when the dart is at its maximum height. Therefore, we can write:

where the term on the left represents the elastic potential energy of the spring while the term on the right is the gravitational potential energy of the dart at maximum height, and where
k is the spring constant of the spring
x = 2.08 cm = 0.0208 m is the compression of the spring
m = 12.3 g = 0.00123 kg is the mass of the dart
is the acceleration due to gravity
h = 3.25 m is the maximum height of the dart
Solving for k, we find:

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The answer to that probably would be C excuse me if I am wrong.
Answer: burning of the incense and air drift in the room
Explanation: the smoke will automatically rise to the top of the room and then with air drift if would help spread further around the room and spread the smell
Answer:
Explanation:
mass, m = 1400 kg
height, h = 16 m
initial velocity, u = 21 m/s
final velocity, v = 13 m/s
Work done by engine, We = 80 kJ
Let the work done by the friction force is Wf.
Use the work energy theorem
net work done = change in kinetic energy
work done by engine + work done by friction force + work done by the gravitational force = Change in kinetic energy
80000 + Wf - m x g x h = 0.5 m ( v² - u²)
80000 + Wf - 1400 x 9.8 x 16 = 0.5 x 1400 x ( 169 - 441 )
- 139520 + Wf = - 190400
Wf = 50880 J
The letter u before any unit means micro. Micro is a unit
prefix used in the metric system which actually means a factor of 10^-6 (one
millionth).
Now, 10^-6 is equivalent to a movement of 6 decimal places
from left to right. So to write the number 0.0000078 s into a number which has
a unit of us, therefore we move the decimal place by 6 to the right, giving us:
7.8 us
Another way to do this is to multiply the number by 1
million (1,000,000), so:
0.0000078 * 1,000,000
Using the calculator to solve, we get the value:
7.8 us