Answer:
The mass of the cargo is
Explanation:
From the question we are told that
The radius of the spherical balloon is
The mass of the balloon is
The volume of the spherical balloon is mathematically represented as
substituting values
The total mass the balloon can lift is mathematically represented as
where is the density of helium with a value of
and is the density of air with a value of
substituting values
Now the mass of the cargo is mathematically evaluated as
First, find the work done. W = f*d, so 160 N * 1 m = 160 J. Then divide the work by the time to get the power. P = W/t. P = 160 J / 0.5 s = 320 W.
The answer is 320 W. Hope this helps, and have a great day! :)
Answer:
1.87 A
Explanation:
τ = mean time between collisions for electrons = 2.5 x 10⁻¹⁴ s
d = diameter of copper wire = 2 mm = 2 x 10⁻³ m
Area of cross-section of copper wire is given as
A = (0.25) πd²
A = (0.25) (3.14) (2 x 10⁻³)²
A = 3.14 x 10⁻⁶ m²
E = magnitude of electric field = 0.01 V/m
e = magnitude of charge on electron = 1.6 x 10⁻¹⁹ C
m = mass of electron = 9.1 x 10⁻³¹ kg
n = number density of free electrons in copper = 8.47 x 10²² cm⁻³ = 8.47 x 10²⁸ m⁻³
= magnitude of current
magnitude of current is given as
= 1.87 A
<em>There are some placeholders in the expression, but they can be safely assumed</em>
Answer:
(a)
(b)
(c)
(d)
Explanation:
<u>Sinusoidal Waves
</u>
An oscillating wave can be expressed as a sinusoidal function as follows
Where
The voltage of the question is the sinusoid expression
(a) By comparing with the general formula we have
(b) The period is the reciprocal of the frequency:
Converting to milliseconds
(c) The amplitude is
(d) Phase angle: