Answer:
Potential energy, P = 500 J
Explanation:
We have,
Weight of the box, W = 50 N
Height of the stairs, h = 10 m
It is required to find the potential energy gained by the box. The potential energy is possessed by an object due to its height. The formula of potential energy is given by :

g is acceleration due to gravity

So, the potential energy of 500 J is gained by the box.
Dipper effect of an oncoming train get louder as it approaches and sound diminishes as it goes away sound traveling
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