Answer:
1.53seconds
Explanation:
Using first equation of motion :
V=U + at
Where final velocity (V) =+8.3m/s
Initial velocity (U) =+4.4m/s
Acceleration (a) = 0.65m/s^2
time(s)=?
V=U + at
+8.3^2 = +4.4 + 0.65 * t
Making t the subject of the formula :
Therefore, t= ( +8.3 - 4.4)/0.65 = 1.53seconds
Answer:
![d=1.29*10^{-6}m](https://tex.z-dn.net/?f=d%3D1.29%2A10%5E%7B-6%7Dm)
Explanation:
From the question we are told that:
Distance of wall from CD ![D=1.4](https://tex.z-dn.net/?f=D%3D1.4)
Second bright fringe ![y_2= 0.803 m](https://tex.z-dn.net/?f=y_2%3D%200.803%20m)
Let
Strontium vapor laser has a wavelength \lambda= 431 nm=>431 *10^{-9}m
Generally the equation for Interference is mathematically given by
![y=frac{n*\lambda*D}{d}](https://tex.z-dn.net/?f=y%3Dfrac%7Bn%2A%5Clambda%2AD%7D%7Bd%7D)
Where
![d=\frac{n*\lambda*D}{y}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7Bn%2A%5Clambda%2AD%7D%7By%7D)
![d=\frac{2*431 *10^{-9}m*1.4}{0.803}](https://tex.z-dn.net/?f=d%3D%5Cfrac%7B2%2A431%20%2A10%5E%7B-9%7Dm%2A1.4%7D%7B0.803%7D)
![d=1.29*10^{-6}m](https://tex.z-dn.net/?f=d%3D1.29%2A10%5E%7B-6%7Dm)
Answer:
Time, t = 80 seconds
Explanation:
Given that,
The frequency of the oscillating mass, f = 1.25 Hz
Number of oscillations, n = 100
We need to find the time in which it makes 100 oscillations. We know that the frequency of an object is number of oscillations per unit time. It is given by :
![f=\dfrac{n}{t}](https://tex.z-dn.net/?f=f%3D%5Cdfrac%7Bn%7D%7Bt%7D)
![t=\dfrac{n}{f}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7Bn%7D%7Bf%7D)
![t=\dfrac{100}{1.25\ Hz}](https://tex.z-dn.net/?f=t%3D%5Cdfrac%7B100%7D%7B1.25%5C%20Hz%7D)
t = 80 seconds
So, it will make 100 oscillations in 80 seconds. Hence, this is the required solution.
Answer:
Explanation:
Let the velocity be v
Total energy at the bottom
= rotational + linear kinetic energy
= 1/2 Iω² + 1/2 mv² ( I moment of inertia of shell = mr² )
= 1/2 mr²ω² + 1/2 mv² ( v = ω r )
= 1/2 mv² +1/2 mv²
= mv²
mv² = mgh ( conservation of energy )
v² = gh
v = √gh
= √9.8 x 1.8
= 4.2 m /s