The answer is number two, number four, and number one
Answer:
markers are 29.76 m far apart in the laboratory
Explanation:
Given the data in the question;
speed of particle = 0.624c
lifetime = 159 ns = 1.59 × 10⁻⁷ s
we know that; c is speed of light which is equal to 3 × 10⁸ m/s
we know that
distance = vt
or s = ut
so we substitute
distance = 0.624c × 1.59 × 10⁻⁷ s
distance = 0.624(3 × 10⁸ m/s) × 1.59 × 10⁻⁷ s
distance = 1.872 × 10⁸ m/s × 1.59 × 10⁻⁷ s
distance = 29.76 m
Therefore, markers are 29.76 m far apart in the laboratory
Answer:
The output power is 2 kW
Explanation:
It is given that,
Number of turns in primary coil, ![N_p=250](https://tex.z-dn.net/?f=N_p%3D250)
Number of turns in secondary coil, ![N_s=500](https://tex.z-dn.net/?f=N_s%3D500)
Voltage of primary coil, ![V_p=200\ V](https://tex.z-dn.net/?f=V_p%3D200%5C%20V)
Current drawn from secondary coil, ![I_s=5\ A](https://tex.z-dn.net/?f=I_s%3D5%5C%20A)
We need to find the power output. It is equal to the product of voltage and current. Firstly, we will find the voltage of secondary coil as :
![\dfrac{N_p}{N_s}=\dfrac{V_p}{V_s}](https://tex.z-dn.net/?f=%5Cdfrac%7BN_p%7D%7BN_s%7D%3D%5Cdfrac%7BV_p%7D%7BV_s%7D)
![\dfrac{250}{500}=\dfrac{200}{V_s}](https://tex.z-dn.net/?f=%5Cdfrac%7B250%7D%7B500%7D%3D%5Cdfrac%7B200%7D%7BV_s%7D)
![V_s=400\ V](https://tex.z-dn.net/?f=V_s%3D400%5C%20V)
So, the power output is :
![P_s=V_s\times I_s](https://tex.z-dn.net/?f=P_s%3DV_s%5Ctimes%20I_s)
![P_s=400\ V\times 5\ A](https://tex.z-dn.net/?f=P_s%3D400%5C%20V%5Ctimes%205%5C%20A)
![P_s=2000\ watts](https://tex.z-dn.net/?f=P_s%3D2000%5C%20watts)
or
![P_s=2\ kW](https://tex.z-dn.net/?f=P_s%3D2%5C%20kW)
So, the output power is 2 kW. Hence, this is the required solution.
Answer:
Explanation:
We use the harmonic motion position equation:
![x(t) = A\cos(\omega t+\phi)](https://tex.z-dn.net/?f=x%28t%29%20%3D%20A%5Ccos%28%5Comega%20t%2B%5Cphi%29)
where A = 0.350 and for t = 0
![x(0) A = A\ cos(\phi)](https://tex.z-dn.net/?f=x%280%29%20A%20%3D%20A%5C%20cos%28%5Cphi%29)
so: ![\phi = 0](https://tex.z-dn.net/?f=%5Cphi%20%3D%200)
and also:
![\omega = \frac{2\pi}{T} = \frac{2\pi}{4.10} = 1.532 rad/s](https://tex.z-dn.net/?f=%5Comega%20%3D%20%5Cfrac%7B2%5Cpi%7D%7BT%7D%20%3D%20%5Cfrac%7B2%5Cpi%7D%7B4.10%7D%20%3D%201.532%20rad%2Fs)
so we have:
x(t)=0.350cos(1.532 t)
For t = 3.403 s
x(3.403)=0.350cos(1.532 (3.403)) = 0.348 m