So, the recovery force of the spring is <u>2 N in the opposite direction of the pull</u>.
<h3>Introduction</h3>
Hi ! Here, I will help you about the spring recovery force. <u>The restoring force is the force that opposes the direction of the initial pull of the spring (either when the spring is pulled horizontally or vertically)</u>. The restoring force is strongly influenced by the type of spring (through the spring constant) and the length of the strain that occurs. Negative values in spring restoring force only indicate direction, not value. The equation that applies is as follows:
If the spring is pulled horizontally
![\boxed{\sf{\bold{F = - k \times \Delta x}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%7B%5Cbold%7BF%20%3D%20-%20k%20%5Ctimes%20%5CDelta%20x%7D%7D%7D%20)
With the following condition :
- F = recovery force (N)
- k = spring constant (N/m)
= horizontal length change (m)
If the spring is pulled vertically
![\boxed{\sf{\bold{F = - k \times \Delta y}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%7B%5Cbold%7BF%20%3D%20-%20k%20%5Ctimes%20%5CDelta%20y%7D%7D%7D%20)
With the following condition :
- F = recovery force (N)
- k = spring constant (N/m)
= vertical length change (m)
<h3>Problem Solving</h3>
We know that :
- Assume the spring is pulled horizontally
- k = spring constant = 4 N/m
= horizontal length change = 0.5 m
What was asked :
- F = recovery force = ... N
Step by step :
![\sf{F = - k \times \Delta x}](https://tex.z-dn.net/?f=%20%5Csf%7BF%20%3D%20-%20k%20%5Ctimes%20%5CDelta%20x%7D%20)
![\sf{F = - 4 \times 0.5}](https://tex.z-dn.net/?f=%20%5Csf%7BF%20%3D%20-%204%20%5Ctimes%200.5%7D%20)
![\boxed{\sf{F = -2 \: N}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%5Csf%7BF%20%3D%20-2%20%5C%3A%20N%7D%7D%20)
<h3>Conclusion :</h3>
So, the recovery force of the spring is 2 N in the opposite direction of the pull.
Explanation:
The contents of alcohol are less toxic and will evaporate quickly as compared to the mercury-in-glass thermometer. Since, alcohol starts boiling at 80℃ while the boiling point of mercury is 375℃. ... So, an alcohol thermometer cannot measure the temperature of boiling water as it has the limit to measures up to 80℃.
Matter is any substance that has mass and takes up space.
Answer:
1840 J
Explanation:
From the question given above, the following data were obtained:
Specific heat capacity (C) = 0.46 J/gºC
Mass (M) = 50 g
Initial temperature (T₁) = 20 °C
Final temperature (T₂) = 100 °C
Heat (Q) required =?
Next, we shall determine the change in the temperature. This can be obtained as follow:
Initial temperature (T₁) = 20 °C
Final temperature (T₂) = 100 °C
Change in temperature (ΔT) =?
ΔT = T₂ – T₁
ΔT = 100 – 20
ΔT = 80 °C
Finally, we shall determine the heat required. This can be obtained as follow:
Specific heat capacity (C) = 0.46 J/gºC
Mass (M) = 50 g
Change in temperature (ΔT) = 80 °C
Heat (Q) required =?
Q = MCΔT
Q = 50 × 0.46 × 80
Q = 1840 J
Thus, 1840 J of heat energy is required.
Answer:
355 m/s
Explanation:
Distance = 605 km
Initial speed =
= 284 m/s
Final velocity =
= 426 m/s
Average speed = ?
There is two method two find average speed. In first method, using 3rd equation of motion, we find acceleration.
![2as = v_{f}^{2}+v_{i}^{2}](https://tex.z-dn.net/?f=2as%20%3D%20v_%7Bf%7D%5E%7B2%7D%2Bv_%7Bi%7D%5E%7B2%7D)
Then using first equation of motion, we find time
![v_{f} = v_{i}+at](https://tex.z-dn.net/?f=v_%7Bf%7D%20%3D%20v_%7Bi%7D%2Bat)
Then using the formula of average velocity, we find average velocity
![v_{avg}=\frac{total-distance}{total-time}](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D%5Cfrac%7Btotal-distance%7D%7Btotal-time%7D)
Second method is very simple
![v_{avg}=\frac{v_{f}+v_{i} }{2}](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D%5Cfrac%7Bv_%7Bf%7D%2Bv_%7Bi%7D%20%7D%7B2%7D)
![v_{avg}=\frac{426+284}{2}](https://tex.z-dn.net/?f=v_%7Bavg%7D%3D%5Cfrac%7B426%2B284%7D%7B2%7D)
355 m/s