Malleability is a useful property because it allows many products to be made in manufacturing.
Answer:
t = 0.731s
Explanation:
In order to calculate the time that the capacitor takes to have a voltage of 70V, you use the following formula:
(1)
V: final voltage across the capacitor = 70V
Vo: initial voltage across the capacitor = 100V
R: resistance of the resistor in the circuit = 1kΩ = 1*10^3Ω
C: capacitance of the capacitor = 2mF = 2*10^-3F
t: time
You use properties of logarithms to solve the equation (1) for t:
Next, you replace the values of the parameters:
The capacitor takes 0.731s to reache a voltage of 70V
Explanation:
Formula to determine the critical crack is as follows.
= 1, = 24.1
[/tex]\sigma_{y}[/tex] = 570
and,
= 427.5
Hence, we will calculate the critical crack length as follows.
a =
=
=
Therefore, largest size is as follows.
Largest size = 2a
=
=
Thus, we can conclude that the critical crack length for a through crack contained within the given plate is .
Answer:
Mass = 10102.04 kilograms.
Explanation:
Given the following data;
Acceleration = 9.8m/s²
Force = 99000N
To find the mass;
Mass = force/acceleration
Mass = 99000/9.8
Mass = 10102.04 kilograms.
Therefore, the mass of the boulder is 10102.04 kilograms.
Answer:
1) f= 8.6 GHz
2) t= 0.2 ms
Explanation:
1)
- Since microwaves are electromagnetic waves, they move at the same speed as the light in vacuum, i.e. 3*10⁸ m/s.
- There exists a fixed relationship between the frequency (f) , the wavelength (λ) and the propagation speed in any wave, as follows:
- Replacing by the givens, and solving for f, we get:
⇒ f = 8.6 Ghz (with two significative figures)
2)
- Assuming that the microwaves travel at a constant speed in a straight line (behaving like rays) , we can apply the definition of average velocity, as follows:
where v= c= speed of light in vacuum = 3*10⁸ m/s
d= distance between mountaintops = 52 km = 52*10³ m
⇒ t = 0.2 ms (with two significative figures)