Answer:
the maximum deformation undergone by the spring = 47.46 cm
Explanation:
Using conservation of momentum:

where:




Then;




v = 19.375 m/s
However ; using conservation of energy to determine the maximum deformation undergone by the spring ; we have:
![\frac{1}{2} [m_Av_A^2 +m_Bv_B^2] =\frac{1}{2}[(m_A+m_B)v^2 + kx^2]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%20%5Bm_Av_A%5E2%20%2Bm_Bv_B%5E2%5D%20%3D%5Cfrac%7B1%7D%7B2%7D%5B%28m_A%2Bm_B%29v%5E2%20%2B%20kx%5E2%5D)
![[m_Av_A^2 +m_Bv_B^2] =[(m_A+m_B)v^2 + kx^2]](https://tex.z-dn.net/?f=%5Bm_Av_A%5E2%20%2Bm_Bv_B%5E2%5D%20%3D%5B%28m_A%2Bm_B%29v%5E2%20%2B%20kx%5E2%5D)
![[\frac{250*10^3}{9.81}*40^2 + \frac{550*10^3}{9.81}*10^2] =[ (\frac{800*10^3}{9.81} )*19.375^2 + 70 *10^6 \ * x^2]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B250%2A10%5E3%7D%7B9.81%7D%2A40%5E2%20%2B%20%5Cfrac%7B550%2A10%5E3%7D%7B9.81%7D%2A10%5E2%5D%20%3D%5B%20%28%5Cfrac%7B800%2A10%5E3%7D%7B9.81%7D%20%29%2A19.375%5E2%20%2B%2070%20%2A10%5E6%20%5C%20%2A%20x%5E2%5D)
x = 0.4746 m
x = 47.46 cm
Thus, the maximum deformation undergone by the spring = 47.46 cm
stand with your knees bent to absorb the impact, like a skydiver. Theoretically, your legs would flex as you and the elevator touched down, spreading your body's deceleration over a longer period (impact force is proportional to speed and mass, and inversely proportional to time and stopping distance the longer the time spent stopping, the less the force). The effectiveness of this approach at high speeds, however, remains unclear, and research shows that you would likely be subjecting your knees and legs to greater injury risk at low speeds. This approach also keeps your body parallel to the lines of force, which increases the chance of bone breakage as you crumple to the floor under high load.
Hope this helps have a good day.....
Answer:
Angular velocity of the disk is 8.552 rad/s
Explanation:
It is given that,
Rotational kinetic energy, KE = 1280 J
The moment of inertia of the disk, I = 35 kg m²
We have to find the angular velocity of the disk. In rotational mechanics the kinetic energy of the disk is given by :




Hence, the angular velocity of the disk is 8.552 rad/s.
Answer:
the efficiency of hydralic is 79.88%
Explanation:
convert mm to m
1mm = (1/1000)m
diameter of pipe upsteam
d₁= 90mm= 0.09m
diameter of pipe downsteam
d₂= 30mm = 0.03m
finding velocity of upsteam
recall Q=A₁V₁
V₁=Q/A₁
V₁=3.14m/s
velocity of downsteam
V₂= Q/A₂
V₂= 28.29m/s
mass flow rate
m= ρQ
ρ is the density of water
m = 1000× 0.02
m= 20kg/s
the efficiency of hydralic is 79.88%