Answer:
4.25035202162 m/s
Explanation:
[tex]m_h[/tex] = Mass of hammer = 11.7 kg
[tex]m_m[/tex] = Mass of metal piece = 0.378 kg
g = Acceleration due to gravity = [tex]9.81\ m/s^2[/tex]
h = Height = 5.13 m
Energy required to raise the bell
[tex]U=m_mgh\\\Rightarrow U=0.378\times 9.81\times 5.13\\\Rightarrow U=19.0229634\ J[/tex]
From the question we have
[tex]19.0229634=0.18\times \dfrac{1}{2}m_h\times v^2\\\Rightarrow v=\sqrt{\dfrac{19.0229634\times 2}{0.18\times 11.7}}\\\Rightarrow v=4.25035202162\ m/s[/tex]
The speed of the metal piece is 4.25035202162 m/s
Answer:
Explanation:
mass of hammer, Mh = 11.7 kg
mass of metal, Mm = 0.378 kg
height, h = 5.13 m
According to the transformation of energy
Potential energy of metal piece = 18% of kinetic energy of hammer
Mm x g x h = 18 % of 0.5 x Mh x v²
where, v is the velocity of hammer
0.378 x 9.8 x 5.3 = 0.18 x 0.5 x 11.7 x v²
v² = 18.65
v = 4.31 m/s
Thus, the velocity of hammer is 4.31 m/s.
