Answer:
The new height is 357.143m
Explanation:
Given:
Mass of the falcon (M) = 2.5 kg
Height of the falcon (H) = 500 m
Mass of the snake (m) = 1 kg
To Find:
Thew new Height if the total potential energy were to remain the same = ?
Solution:
Now,the initial potential energy would be given by
[tex]P_1 = MgH[/tex]
And the final potential energy would be
[tex]P_2 = (M+m)gh[/tex]
where
h is the new height
Now, the potential energy is same
Therefore,
[tex]P_1 =P_2[/tex]
[tex]MgH = (M+m)gh[/tex]
[tex]MH = (M+m)h[/tex]
On Substituting the values,
[tex]2.5\times 500 =(1+2.5) \times h[/tex]
[tex]1250 = (3.5 )h[/tex]
[tex]h = \frac{1250}{3.5}[/tex]
h =357.143 m
