A constant force of 1.25N
Explanation:
This is a kinematics problem.
First find acceleration,
then use F = ma to find force.
Given:
mass = .5kg
delta x = 20m
t = 4s
a = ?
Friction = 0
From the kinematics equations:
delta x = Vi + (1/2)at^2
Plug in terms that are given:
20m = 0 + (1/2)a(4^2)
(2*20m)/(16s^2) = a
40m/(16s^2)= 2.5m/s^2
Now use F = ma to find force exerted on object.
F = (0.5kg)*(2.5m/s^2)
F = 1.25N
Answer:
D
A Balanced diet is the receiving of the right amount of nutrients and vitamins that the body needs for proper functioning
Answer:
the maximum intensity of an electromagnetic wave at the given frequency is 45 kW/m²
Explanation:
Given the data in the question;
To determine the maximum intensity of an electromagnetic wave, we use the formula;
=
ε₀cE
²
where ε₀ is permittivity of free space ( 8.85 × 10⁻¹² C²/N.m² )
c is the speed of light ( 3 × 10⁸ m/s )
E
is the maximum magnitude of the electric field
first we calculate the maximum magnitude of the electric field ( E
)
E
= 350/f kV/m
given that frequency of 60 Hz, we substitute
E
= 350/60 kV/m
E
= 5.83333 kV/m
E
= 5.83333 kV/m × (
)
E
= 5833.33 N/C
so we substitute all our values into the formula for intensity of an electromagnetic wave;
=
ε₀cE
²
=
× ( 8.85 × 10⁻¹² C²/N.m² ) × ( 3 × 10⁸ m/s ) × ( 5833.33 N/C )²
= 45 × 10³ W/m²
= 45 × 10³ W/m² × (
)
= 45 kW/m²
Therefore, the maximum intensity of an electromagnetic wave at the given frequency is 45 kW/m²
Explanation:
Work done by gravity is given by the formula,
W =
......... (1)
It is known that when levels are same then height of the liquid is as follows.
h =
......... (2)
Putting value of equation (2) in equation (1) the overall formula will be as follows.
W = ![\frac{1}{4} \rho gA(h_{1} - h_{2})^{2})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5Crho%20gA%28h_%7B1%7D%20-%20h_%7B2%7D%29%5E%7B2%7D%29)
= ![\frac{1}{4} \times 1.23 g/cm^{3} \times 9.80 m/s^{2} \times 3.89 \times 10^{-4} m^{2}(1.76 m - 0.993 m)^{2})](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%20%5Ctimes%201.23%20g%2Fcm%5E%7B3%7D%20%5Ctimes%209.80%20m%2Fs%5E%7B2%7D%20%5Ctimes%203.89%20%5Ctimes%2010%5E%7B-4%7D%20m%5E%7B2%7D%281.76%20m%20-%200.993%20m%29%5E%7B2%7D%29)
= 0.689 J
Thus, we can conclude that the work done by the gravitational force in equalizing the levels when the two vessels are connected is 0.689 J.