If you put it into English in the comments I would be more then happy to help you! Thank you!
Given Information:
Number of turns = N = 1130 turns
Length of solenoid = L = 0.430 m
Magnetic field = B = 1.0x10⁻⁴ T
Required Information:
Current = I = ?
Answer:
I = 0.0302 A
Explanation:
The current flowing in the solenoid winding can be found using
I = BL/μ₀N
Where μ₀ is the permeability of free space, N is the number of turns, B is the magnetic field and L is the length of solenoid
I = 1.0x10⁻⁴*0.430/4πx10⁻⁷
*1130
I = 0.0302 A
or
I = 30.28 mA
Kinetic energy lost in collision is 10 J.
<u>Explanation:</u>
Given,
Mass,
= 4 kg
Speed,
= 5 m/s
= 1 kg
= 0
Speed after collision = 4 m/s
Kinetic energy lost, K×E = ?
During collision, momentum is conserved.
Before collision, the kinetic energy is
![\frac{1}{2} m1 (v1)^2 + \frac{1}{2} m2(v2)^2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20m1%20%28v1%29%5E2%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20m2%28v2%29%5E2)
By plugging in the values we get,
![KE = \frac{1}{2} * 4 * (5)^2 + \frac{1}{2} * 1 * (0)^2\\\\KE = \frac{1}{2} * 4 * 25 + 0\\\\](https://tex.z-dn.net/?f=KE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204%20%2A%20%285%29%5E2%20%2B%20%5Cfrac%7B1%7D%7B2%7D%20%2A%201%20%2A%20%280%29%5E2%5C%5C%5C%5CKE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%2A%204%20%2A%2025%20%2B%200%5C%5C%5C%5C)
K×E = 50 J
Therefore, kinetic energy before collision is 50 J
Kinetic energy after collision:
![KE = \frac{1}{2} (4 + 1) * (4)^2 + KE(lost)](https://tex.z-dn.net/?f=KE%20%3D%20%5Cfrac%7B1%7D%7B2%7D%20%284%20%2B%201%29%20%2A%20%284%29%5E2%20%2B%20KE%28lost%29)
![KE = 40J + KE(lost)](https://tex.z-dn.net/?f=KE%20%3D%2040J%20%2B%20KE%28lost%29)
Since,
Initial Kinetic energy = Final kinetic energy
50 J = 40 J + K×E(lost)
K×E(lost) = 50 J - 40 J
K×E(lost) = 10 J
Therefore, kinetic energy lost in collision is 10 J.