Population density = Number of beetles / Unit Square Area
= 20 beetles / 5m² = 4 beetles per m²
Answer:
12m/s
Explanation:
Given parameters:
Power = 6.5 x 10⁴W
Force = 5.5 x 10³N
Unknown:
The resulting velocity = ?
Solution:
The velocity of a body is related to force and power using the expression below;
Power = Force x velocity
Insert the parameters and solve for velocity
6.5 x 10⁴ = 5.5 x 10³ x velocity
velocity =
= 12m/s
The answer is 27.03 I just multiplied the two numbers
Answer:
Explanation:
Volume of asteroid = 4/3 x π x 160³
= 17.15 x 10⁶
mass = volume x density
= 17.15 x 10⁶ x 2600
= 445.9 x 10⁸ kg
kinetic energy
= 1/2 x 445.9 x 10⁸ x( 12.6 )² x 10⁶
= 35.4 x 10¹⁷ J .
2 )
energy of 15 megaton
= 4.184 x 10¹⁵ x 15 J
= 62.76 x 10¹⁵ J
No of bombs required
= 35.4 x 10¹⁷ / 62.76 x 10¹⁵
= 56.4 Bombs .
Answer:
(a) E= 3.36×10−2 V +( 3.30×10−4 V/s3 )t3
(b) 
Explanation:
Given:
- radius if the coil,

- no. of turns in the coil,

- variation of the magnetic field in the coil,

- resistor connected to the coil,

(a)
we know, according to Faraday's Law:

where:
change in associated magnetic flux

where:
A= area enclosed by the coil
Here




So, emf:
![emf= 520\times \frac{d}{dt} [((1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)\times 0.0049]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%28%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5Ctimes%200.0049%5D)
![emf= 520\times 0.0049\times \frac{d}{dt} [(1.2\times 10^{-2})t+(3.45\times 10^{-5})t^4)]](https://tex.z-dn.net/?f=emf%3D%20520%5Ctimes%200.0049%5Ctimes%20%5Cfrac%7Bd%7D%7Bdt%7D%20%5B%281.2%5Ctimes%2010%5E%7B-2%7D%29t%2B%283.45%5Ctimes%2010%5E%7B-5%7D%29t%5E4%29%5D)
![emf= 2.548\times [0.012+(13.8\times 10^{-5})t^3)]](https://tex.z-dn.net/?f=emf%3D%202.548%5Ctimes%20%5B0.012%2B%2813.8%5Ctimes%2010%5E%7B-5%7D%29t%5E3%29%5D)

(b)
Given:

Now, emf at given time:

∴Current


