Answer:
- Potential Energy = mgl (1 - cosθ)
Explanation:
<h3>Given :-</h3>
- Mass of stick = m
- Length of stick = l
- Angle = θ
<h3>To Find :-</h3>
- Increase potential energy
<h3>Solution :-</h3>
✪ <u>According to the given </u><u>data</u> :-
⠀⠀⠀→ cosθ = ᵇ/ₕ
⠀⠀⠀→ cosθ = ᴬᴮ/l
⠀⠀⠀→ AB = l cosθ
❂ <u>For </u><u>Height</u> :-
⠀⠀⠀→ h = l - l cosθ
⠀⠀⠀→ h = l (1-cosθ)
☯ <u>As we know that</u>
⠀⠀⠀→ Potential Energy = mgh
⠀⠀⠀→ Potential Energy = mg × l (1-cosθ)
⠀⠀⠀→ Potential Energy = mgl (1-cosθ)
Explanation:
The given data is as follows.
distance (r) = 1.67 m
= 1 C
It is known that formula for electric force between two charges is as follows.
F = 
Hence, putting the given values into the above formula as follows.

= 
As it is given that mass of Falcon Heavy rocket is 1421. Therefore, weight of 1 Falcon rocket is as follows.
weight of 1 falcon rocket =
Therefore, number of falcon rockets will be calculated as follows.
No. of falcon rockets = 
=
= 2318.9 falcons
Thus, we can conclude that force between the two point charges above is equal to the weight of 2318.9 Falcon Heavy rockets.
Answer:
4.399 Nm
Explanation:
The maximum Torque on a coil is given as,
τ = BNIA...................... Equation 1
Where τ = Maximum torque exerted on the coil, B = Magnetic Field, N = Number of turns, I = Current, A = Area.
Given: N = 45.5 Turns, B = 0.49 T, I = 26.7 mA = 0.0267 A,
A = πr², Where r = radius of the coil, r= 4.85 cm = 0.0485 m
A = 3.14(0.0485)²
A = 7.39×10⁻³ m².
Substitute into equation 1
τ = 45.5×0.49×26.7×7.39×10⁻³
τ = 4.399 Nm