Respuesta :
At maximum height, initial velocity
[tex]v_{0} =\sqrt{2gh}[/tex]
Here, h is maximum height and g is acceleration due to gravity.
According to above relation, the vertical height does not depend on the mass of body it depend only upon the initial velocity.
Therefore, the 20 kg rock reach the same height as 10 kg rock.
The 20-kg rock will reach a maximum height h
Calculating maximum height
From the question, we are to determine the maximum height the 20-kg rock will reach
From the formula for maximum height of a body thrown upward
[tex]H_{max} =\frac{u^{2} }{2g}[/tex]
Where [tex]H_{max}[/tex] is the maximum height
[tex]u[/tex] is the initial velocity
and [tex]g[/tex] is the acceleration due to gravity
From the above formula, we can observe that the maximum height, [tex]H_{max}[/tex], is only dependent on the initial velocity and gravity but independent on the mass of the object.
Since the two rocks were thrown upward with the same initial velocity, and acceleration due to gravity is constant, then the two rocks will reach the same maximum height.
From the given information,
The 10-kg rock reaches a maximum height h,
Hence, the 20-kg rock will reach a maximum height h.
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