Answer:
Yes they can stop or bat the puck with their open hand
Explanation:
Answer:
Explanation:
Due to change in the position of 3 kg mass , the moment of inertia of the system changes , due to which angular speed changes . We shall apply conservation of angular momentum , because no external torque is acting .
Initial moment of inertia I₁ = M R² = 3 x 1 ² = 3 kg m²
Final moment of inertia I₂ = M R² = 3 x .3 ² = 0.27 kg m²
Applying law of conservation of angular momentum
I₁ ω₁ = I₂ ω₂
Putting the values ,
3 x .75 = .27 x ω₂
ω₂ = 8.33 rad / s
New angular speed = 8.33 rad /s .
Answer:
Change in specific internal Energy![=250\ \rm Btu/lb](https://tex.z-dn.net/?f=%3D250%5C%20%5Crm%20Btu%2Flb)
Explanation:
Given:
- Mass of the gas, m=0.4 lb
- Initial pressure and volume are
![p_1=160\ \rm lbf/in^2\ and\ v_1=1\ \rm ft^3\\](https://tex.z-dn.net/?f=p_1%3D160%5C%20%5Crm%20lbf%2Fin%5E2%5C%20and%5C%20v_1%3D1%5C%20%5Crm%20ft%5E3%5C%5C)
- Final pressure and temperature are
![p_1=480\ \rm lbf/in^2](https://tex.z-dn.net/?f=p_1%3D480%5C%20%5Crm%20lbf%2Fin%5E2)
- Heat transfer from the gas is 2.1 Btu
Since the process is isotropic we have
![p_1v_1^{1.3}=p_2v_2^{1.3}\\160\times 1^{1.3}=480\times v_2^{1.3}\\v_2=0.43\ \rm ft^3\\](https://tex.z-dn.net/?f=p_1v_1%5E%7B1.3%7D%3Dp_2v_2%5E%7B1.3%7D%5C%5C160%5Ctimes%201%5E%7B1.3%7D%3D480%5Ctimes%20v_2%5E%7B1.3%7D%5C%5Cv_2%3D0.43%5C%20%5Crm%20ft%5E3%5C%5C)
So the final volume of the gas is calculated.
Work in any isotropic is given by w
![w=\dfrac{p_1v_1-P_2v_2}{n-1}\\\\w=\dfrac{160\times1-480\times0.43}{1.3-1}\\w=-154.67\ \rm Btu\\](https://tex.z-dn.net/?f=w%3D%5Cdfrac%7Bp_1v_1-P_2v_2%7D%7Bn-1%7D%5C%5C%5C%5Cw%3D%5Cdfrac%7B160%5Ctimes1-480%5Ctimes0.43%7D%7B1.3-1%7D%5C%5Cw%3D-154.67%5C%20%5Crm%20Btu%5C%5C)
According to the first law of thermodynamics we have
![Q=\Delta U+w\\-2.1=\Delta U-154.67\\\Delta U=152.56\ \rm Btu\\](https://tex.z-dn.net/?f=Q%3D%5CDelta%20U%2Bw%5C%5C-2.1%3D%5CDelta%20U-154.67%5C%5C%5CDelta%20U%3D152.56%5C%20%5Crm%20Btu%5C%5C)
So the Specific Internal Change is given by
![\Delta u=\dfrac{\Delta U}{m}\\\Delta u=\dfrac{152.56}{0.4}\\\Delta u=250\ \rm Btu/lb](https://tex.z-dn.net/?f=%5CDelta%20u%3D%5Cdfrac%7B%5CDelta%20U%7D%7Bm%7D%5C%5C%5CDelta%20u%3D%5Cdfrac%7B152.56%7D%7B0.4%7D%5C%5C%5CDelta%20u%3D250%5C%20%5Crm%20Btu%2Flb)
So the specific Change in Internal energy is calculated.
Answer:
0.0021576N
Explanation:
F=(k)(q1q2/r^2)
F=(8.99×10^9)(3×10^-6)(2×10^-6)/(5^2)
F=0.0021576N
Answer:
period of oscillations is 0.695 second
Explanation:
given data
mass m = 0.350 kg
spring stretches x = 12 cm = 0.12 m
to find out
period of oscillations
solution
we know here that force
force = k × x .........1
so force = mg = 0.35 (9.8) = 3.43 N
3.43 = k × 0.12
k = 28.58 N/m
so period of oscillations is
period of oscillations = 2π ×
................2
put here value
period of oscillations = 2π ×
period of oscillations = 0.6953
so period of oscillations is 0.695 second