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Answer :
The striking velocity for a 10 kg mass falling from a 15 m height is approximately 17.15 m/s. So the correct answer is c. 17.15 m/s.
The striking velocity for a 10 kg mass falling from a 15 m height can be found using the equation of motion for free fall.
The equation is:
[tex]v^2 = u^2 + 2as[/tex]
where:
v = final velocity (striking velocity in this case)
u = initial velocity (0 m/s in this case, as the object starts from rest)
a = acceleration due to gravity (approximately [tex]9.8 m/s^2[/tex])
s = distance (15 m in this case)
Plugging in the values:
[tex]v^2 = 0^2 + 2 * 9.8 * 15[/tex]
Simplifying:
[tex]v^2 = 294[/tex]
Taking the square root of both sides to find the velocity:
[tex]v = sqrt(294)[/tex]
Calculating this, we find that:
v ≈ 17.15 m/s
Therefore, the striking velocity for a 10 kg mass falling from a 15 m height is approximately 17.15 m/s.
So the correct answer is c. 17.15 m/s.
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