Answer: 19.31
Step-by-step explanation:
To find the speed of the object when it hits the ground, we can apply the law of conservation of energy, which states that energy cannot be created nor destroyed.
Therefore, the total gravitational potential energy of the object has to be equal to the total kinetic energy of the object.
The formula for gravitational potential energy (U) is given as:
U = mgh, where:
The formula for kinetic energy (K) is given as:
K = ½mv², where:
U = K
mgh = ½mv²
Let’s cancel the m’s on both sides:
gh = ½v²
Now, substitute the given values. We know that the acceleration due to gravity on Earth is 9.81 m/s2, so g = 9.81. We are also given that the vertical height is 19 m, so h = 19.
(9.81)(19) = ½v²
Solve for v:
186.39 = ½v²
372.78 = v²
v = 19.31
The speed of the object when it hits the ground is 19.31 m/s.
Learn more about the law of conservation of energy here: brainly.com/question/166559
