Answer:
8.85437 m/s
Explanation:
m = Mass of sphere = 5 kg
h = Vertical height = 4 m
g = Acceleration due to gravity = 9.80 m/s²
Applying conservation of energy we get
[tex]\dfrac{1}{2}mv^2=mgh[/tex]
[tex]\\\Rightarrow v=\sqrt{2gh}[/tex]
[tex]\\\Rightarrow v=\sqrt{2\times 9.8\times 4}[/tex]
[tex]\\\Rightarrow v=8.85437\ m/s[/tex]
The sphere's speed when it reaches the bottom of the ramp is 8.85437 m/s