Time t = ?
<span>When wave is moving from
y = 0 to y =12 cm</span>
By using the formula,
y = 15cos [(π/12) t)] =
0,
cos [(π/12) t)] = 0 =
cos (π/2), so,
(π/12)t = π/2,
t = (π/2) (12/π)
t = 12/2
<span>t = 6 sec</span>
<span>so 6 sec is the least amount of time required</span>
Answer:
The magnitude of angular acceleration is
.
Explanation:
Given that,
Initial angular velocity, 
When it switched off, it comes o rest, 
Number of revolution, 
We need to find the magnitude of angular acceleration. It can be calculated using third equation of rotational kinematics as :
So, the magnitude of angular acceleration is
. Hence, this is the required solution.
Paint is immiscible because the layer that forms on top of settled paint is a substance which cannot dissolve with the rest of the paint. Stirring the paint is only temporarily in effort to form an even and thoroughly mixed solution by physically mixing the separate molecules of the solution. However, for it to be miscible, it the solution has to be evenly distributed (chemically) on a molecular level as to not separate when left for a lengthy period of time.
Answer:

Explanation:
Given:
Dielectric of the medium between the plates (k) = 6.56
Area of eac plate (A) = 0.0830 m²
Separation between the plates (d) = 1.95 mm = 0.00195 m [1 mm = 0.001 m]
Maximum electric field
= 202 kN/C = 202000 N/C [1 kN = 1000 N]
Permittivity of space (ε₀) = 8.854 × 10⁻¹² F/m
The maximum potential difference across the plates of the capacitor is given as:

Now, capacitance of the capacitor is given as:

The maximum energy stored in the capacitor is given as:

Therefore, the maximum energy that can be stored in the capacitor is 
Explanation:
Given that,
Mass of a box is 2.6 kg
(1) We need to find the work done on the box by this force as it is pushed up the 5.00-m ramp to a height of 3.00 m.
It means that the position of the object is 3 m i.e. h = 3 m
Work done = Fd
= mgh
So,

(2) Now the gravitational potential energy that the box undergoes as it rises to its final height is equal to the work done by the box. So,
Change in potential energy = 76.44 J