Answer:
abiotic
Explanation:
i think but dont take my word for it
Explanation:
Let
is the mass of proton. It is moving in a circular path perpendicular to a magnetic field of magnitude B.
The magnetic force is balanced by the centripetal force acting on the proton as :
![\dfrac{mv^2}{r}=qvB](https://tex.z-dn.net/?f=%5Cdfrac%7Bmv%5E2%7D%7Br%7D%3DqvB)
r is the radius of path,
![r=\dfrac{mv}{qB}](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7Bmv%7D%7BqB%7D)
Time period is given by :
![T=\dfrac{2\pi r}{v}](https://tex.z-dn.net/?f=T%3D%5Cdfrac%7B2%5Cpi%20r%7D%7Bv%7D)
![T=\dfrac{2\pi m_p}{qB}](https://tex.z-dn.net/?f=T%3D%5Cdfrac%7B2%5Cpi%20m_p%7D%7BqB%7D)
Frequency of proton is given by :
![f=\dfrac{1}{T}=\dfrac{qB}{2\pi m_p}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7B1%7D%7BT%7D%3D%5Cdfrac%7BqB%7D%7B2%5Cpi%20m_p%7D)
The wavelength of radiation is given by :
![\lambda=\dfrac{c}{f}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bc%7D%7Bf%7D)
![\lambda=\dfrac{2\pi m_pc}{qB}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B2%5Cpi%20m_pc%7D%7BqB%7D)
So, the wavelength of radiation produced by a proton is
. Hence, this is the required solution.
Answer:
(a) the speed of the block after the bullet embeds itself in the block is 3.226 m/s
(b) the kinetic energy of the bullet plus the block before the collision is 500J
(c) the kinetic energy of the bullet plus the block after the collision is 16.13J
Explanation:
Given;
mass of bullet, m₁ = 0.1 kg
initial speed of bullet, u₁ = 100 m/s
mass of block, m₂ = 3 kg
initial speed of block, u₂ = 0
Part (A)
Applying the principle of conservation linear momentum, for inelastic collision;
m₁u₁ + m₂u₂ = v(m₁ + m₂)
where;
v is the speed of the block after the bullet embeds itself in the block
(0.1 x 100) + (3 x 0) = v (0.1 + 3)
10 = 3.1v
v = 10/3.1
v = 3.226 m/s
Part (B)
Initial Kinetic energy
Ki = ¹/₂m₁u₁² + ¹/₂m₂u₂²
Ki = ¹/₂(0.1 x 100²) + ¹/₂(3 x 0²)
Ki = 500 + 0
Ki = 500 J
Part (C)
Final kinetic energy
Kf = ¹/₂m₁v² + ¹/₂m₂v²
Kf = ¹/₂v²(m₁ + m₂)
Kf = ¹/₂ x 3.226²(0.1 + 3)
Kf = ¹/₂ x 3.226²(3.1)
Kf = 16.13 J