Answer:

Explanation:
Given that:
- mass of 1 skier,

- inclination of hill,

- length of inclined slope,

- time taken to reach the top of hill,

- coefficient of friction,

<em>Now, force normal to the inclined plane:</em>



<em>Frictional force:</em>



<em>The component of weight along the inclined plane:</em>



<em>Now the total force required along the inclination to move at the top of hill:</em>



<em>Hence the work done:</em>



<em>Now power:</em>



<u>So, power required for 30 such bodies:</u>




You drove 20 more mph than what you did before. The more force is 20 because you drove 20 more mph.
If <em>A</em> = <em>i</em> - <em>j</em> + <em>k</em>, then the magnitude of <em>A</em> is
||<em>A</em>|| = √(1² + (-1)² + 1²) = √3
Then the unit vector in the direction of <em>A</em> is 1/||A|| multiplied by <em>A</em> :
<em>u</em> = <em>A</em>/||<em>A</em>|| = (<em>i</em> - <em>j</em> + <em>k</em>)/√3
(choice D)
Answer:
ω = √(2T / (mL))
Explanation:
(a) Draw a free body diagram of the mass. There are two tension forces, one pulling down and left, the other pulling down and right.
The x-components of the tension forces cancel each other out, so the net force is in the y direction:
∑F = -2T sin θ, where θ is the angle from the horizontal.
For small angles, sin θ ≈ tan θ.
∑F = -2T tan θ
∑F = -2T (Δy / L)
(b) For a spring, the restoring force is F = -kx, and the frequency is ω = √(k/m). (This is derived by solving a second order differential equation.)
In this case, k = 2T/L, so the frequency is:
ω = √((2T/L) / m)
ω = √(2T / (mL))
Answer:
a
The total charge is 
b
The change in potential energy is 
c
The height is 
Explanation:
From the question we are told that the
The magnitude of electric field is 
The number of proton is 
The distance between the plates is 
The total charge can be mathematically represented as

Where e is the charge on one proton which has a value of 
Substituting values

The change in potential energy is mathematically represented ads
where the negative sign shows that the work done by the electric force is against the electric field
Substituting values


The mass of the bead is given as 0.05kg
The change in potential due to gravity is mathematically given as

the negative sign is due to the fact that the height is decreasing
And 
Making h the subject

Substituting values

