Answer:
Explanation:
Given
First bicycle travels 6.10 km due to east in 0.21 h
Suppose its position vector is
After that it travels 11.30 km at east of north in 0.560 h
suppose its position vector is
after that he finally travel 6.10 km due to east in 0.21 h
suppose its position vector is
so position of final position is given by
t=0.21+0.56+0.21=0.98 h
For direction
w.r.t to x axis
Answer:
The lowest frequency is 95.6 Hz
Explanation:
The standing waves that can be formed in this system must meet some conditions, such as until this is fixed at the bottom here there must be a node (point without oscillation) and being free at its top at this point there should be maximum elongation (antinode)
For the lowest frequency we have a node at the bottom point and a maximum at the top point, this corresponds to ¼ of the wavelength, so the full wave has
λ = 4L
As the speed any wave is equal to the product of its frequency by the wavelength
v = f λ
f = v / λ
f = v / 4L
f = 2730 / (4 7.14)
f= 95.6 1 / s = 95.6 Hz
Answer:
Explanation:
Mass of gold deposited = 0.5 g
Molar mass of gold = 197 g/mol
Time, t = 6 hours
= 6 × 3600
= 12600 s
Number of moles = mass/molar mass
= 0.5/197
= 0.00254 mole
Assuming
Au --> Au+ + e-
Faraday constant = 9.65 x 104 C mol-1
Q = 96500 × 0.00254
= 244.924 C
Q = I × t
I = 244.924/12600
= 0.011 A
= 11.34 mA.
Answer:
The system has two solutions:
(1, -1) and (0, 0)
Explanation:
We have the system of equations:
x + y = 0
x = x^2 + 2*x*y
To solve this, the first step is to isolate one of the variables in one of the equations, I will isolate x on the first one.
x = -y
Now we can replace this on the other equation, to get:
x = x^2 + 2*x*y
(-y) = (-y)^2 + 2*(-y)*y
Now we can solve this equation for y.
-y = y^2 - 2*y^2
-y = -y^2
y^2 - y = 0
We can solve this using the Bhaskara's formula:
The solutions are then:
Then the two possible solutions are:
y = (1 + 1)/2 = 1
and
y = (1 - 1)/2 = 0
Suppose that we take the first one, y = 1.
Then the solution for x is given by "x = -y"
Then:
x = -1
This means that one solution of the system is (-1, 1)
If we take the other solution for y, y = 0
The value of x will be:
x = -y = -0 = 0
Then another solution of the system is (0, 0)