Answer:
4.37 * 10^-4 J
Explanation:
Energy stored :
mgΔl / 2
m = mass = 10kg ; g = 9.8m/s² ; r = cross sectional Radius = 1cm = 1 * 10-2 m
Δl = mgl / πr²Y
Y = Youngs modulus = Y=3.5 ×10^10 ; l = Length = 1m
Δl = (10 * 9.8 * 1) / π * (1 * 10^-2)²* 3.5 ×10^10
Δl = 98 / 3.5 * π * 10^6
Δl = 0.00000891267
Energy stored :
mgΔl / 2
(10 * 9.8 * 0.00000891267) / 2
= 0.00043672083 J
4.37 * 10^-4 J
Sound waves are changes in pressure generated by vibrating molecules. The physical characteristics of sound waves influence the three psychological features of sound: loudness, pitch, and timbre. Loudness depends on the amplitude,or height, of sound waves. The greater the amplitude, the louder the sound perceived.
Answer:
970 kN
Explanation:
The length of the block = 70 mm
The cross section of the block = 50 mm by 10 mm
The tension force applies to the 50 mm by 10 mm face, F₁ = 60 kN
The compression force applied to the 70 mm by 10 mm face, F₂ = 110 kN
By volumetric stress, we have that for there to be no change in volume, the total pressure applied by the given applied forces should be equal to the pressure removed by the added applied force
The pressure due to the force F₁ = 60 kN/(50 mm × 10 mm) = 120 MPa
The pressure due to the force F₂ = 110 kN/(70 mm × 10 mm) = 157.142857 MPa
The total pressure applied to the block, P = 120 MPa + 157.142857 MPa = 277.142857 MPa
The required force, F₃ = 277.142857 MPa × (70 mm × 50 mm) = 970 kN
Answer:
-26 m/s.
Explanation:
Hello,
In this case, since the vertical initial velocity is 26 m/s and the vertical final velocity is 0 m/s at P, we compute the time to reach P:
![t=\frac{0m/s-26m/s}{-9.8m/s^2} =2.65s](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B0m%2Fs-26m%2Fs%7D%7B-9.8m%2Fs%5E2%7D%20%3D2.65s)
With which we compute the maximum height:
![y=26m/s*2.65s-\frac{1}{2}*9.8m/s^2*(2.65s)^2 \\\\y=34.5m](https://tex.z-dn.net/?f=y%3D26m%2Fs%2A2.65s-%5Cfrac%7B1%7D%7B2%7D%2A9.8m%2Fs%5E2%2A%282.65s%29%5E2%20%5C%5C%5C%5Cy%3D34.5m)
Therefore, the final velocity until the floor, assuming P as the starting point (Voy=0m/s), turns out:
![v_f=\sqrt{0m/s-(-9.8m/s^2)*2*34.5m}\\ \\v_f=-26m/s](https://tex.z-dn.net/?f=v_f%3D%5Csqrt%7B0m%2Fs-%28-9.8m%2Fs%5E2%29%2A2%2A34.5m%7D%5C%5C%20%5C%5Cv_f%3D-26m%2Fs)
Which is clearly negative since it the projectile is moving downwards the starting point.
Regards.