Answer:
a.) a = 0 ms⁻²
b.) a = 9.58 ms⁻²
c.) a = 7.67 ms⁻²
Explanation:
a.)
Acceleration (a) is defined as the time rate of change of velocity
Given data
Final velocity = v₂ = 0 m/s
Initial velocity = v ₁ = 0 m/s
As the space shuttle remain at rest for the first 2 minutes i.e there is no change in velocity so,
a = 0 ms⁻²
b.)
Given data
As the space shuttle start from rest, So initial velocity is zero
Initial velocity = v₁ = 0 ms⁻¹
Final velocity = v₂ = 4600 ms⁻¹
Time = t = 8 min = 480 s
By the definition of Acceleration (a)
![a = \frac{4600 - 0 } {480}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B4600%20-%200%20%7D%20%7B480%7D)
a = 9.58 ms⁻²
c.)
Given data
As the space shuttle is at rest for first 2 min then start moving, So initial velocity is zero
Initial velocity = v₁ = 0 ms⁻¹
Final velocity = v₂ = 4600 ms⁻¹
Time = t = 10 min = 600 s
By the definition of Acceleration (a)
![a = \frac{4600 - 0 } {600}](https://tex.z-dn.net/?f=a%20%3D%20%5Cfrac%7B4600%20-%200%20%7D%20%7B600%7D)
a = 7.67 ms⁻²
Not totally sure but i would say a normal? its not refraction or incidence if its perpendicular and i dont think its a mirror if its an imaginary line so yeah normal (normals are always perpendicular to their surface too i think so)
<span>analyze. Analyze means to study or examine
something carefully in a methodical way. ... This verb analyze comes
from the noun analysis. The noun analysis was in turn borrowed from
Greek, from analyein, or "to dissolve."
hope it helps;)
</span>
Answer:
(a) The magnetic energy density in the field is 6.366 J/m³
(b) The energy stored in the magnetic field within the solenoid is 5 kJ
Explanation:
magnitude of magnetic field inside solenoid, B = 4 T
inner diameter of solenoid, d = 6.2 cm
inner radius of the solenoid, r = 3.1 cm = 0.031 m
length of solenoid, L = 26 cm = 0.26 m
(a) The magnetic energy density in the field is given by;
![u _B = \frac{B^2}{2\mu_o} \\\\u _B = \frac{(4)^2}{2(4\pi*10^{-7})}\\\\u_B = 6.366*10^6 \ J/m^3](https://tex.z-dn.net/?f=u%20_B%20%3D%20%5Cfrac%7BB%5E2%7D%7B2%5Cmu_o%7D%20%5C%5C%5C%5Cu%20_B%20%3D%20%5Cfrac%7B%284%29%5E2%7D%7B2%284%5Cpi%2A10%5E%7B-7%7D%29%7D%5C%5C%5C%5Cu_B%20%3D%206.366%2A10%5E6%20%5C%20J%2Fm%5E3)
(b) The energy stored in the magnetic field within the solenoid
![U_B = u_B V\\\\U_B = u_B AL](https://tex.z-dn.net/?f=U_B%20%3D%20u_B%20V%5C%5C%5C%5CU_B%20%3D%20u_B%20AL)
![U_B = u_B(A)(L)\\\\U_B = 6.366*10^6(\pi * 0.031^2)(0.26) \\\\U_B = 4997.69 J\\\\U_B = 5 \ KJ\\](https://tex.z-dn.net/?f=U_B%20%3D%20u_B%28A%29%28L%29%5C%5C%5C%5CU_B%20%3D%206.366%2A10%5E6%28%5Cpi%20%2A%200.031%5E2%29%280.26%29%20%5C%5C%5C%5CU_B%20%3D%204997.69%20J%5C%5C%5C%5CU_B%20%3D%205%20%5C%20KJ%5C%5C)