Answer: 0.048 J
Explanation:
The described situation is better understood with the attached figure.
Let's assume that when the mass is released after being lifted up, it starts performing simple harmonic motion with an amplitude L. Then, the maximum speed of this hanging mass is fulfilled at the equilibrium position and its given by the following equation:
(1)
Where:
is the spring constant which can be calculated by the Hooke's law: being the acceleration due gravity and the length the spring is streched.
is the mass
is the amplitude
So, (2)
Substituting (2) in (1):
(3)
(4)
On the other hand, the kinetic energy is given by the following equation:
(5)
(6)
Hence:
The table is almost perfect. BUT ... since she called ay negative, that means she's calling the upward direction positive-y and the downward direction negative-y. In that case, since the ball moves downward from the deck to the pavement, the change in y should be negative 3.2 m. Everything else in her table is fine. Choice-D is the good one.
Now, regarding the speed of the ball ...
How long does it take to fall 3.2 m ?
Use the formula. D = 1/2 g T^2 .
3.2 = 4.9 T^2.
T^2 = 3.2/4.9
T = √(3.2/4.9) = 0.808 second.
The ball hit the pavement 0.808 second after it rolled off the deck. So that's also the time it took to move the 0.75 m horizontally.
Speed = distance / time
Speed = 0.75 m / 0.808 second
Speed = 0.928 meter/second .
Answer:
At least 10 major federal laws deal with protecting the environment and the health and safety of U.S. residents. This is in addition to the multitude of other federal acts, rules, and administrative environmental regulations
Explanation:
Kg are weight, m are length lol soooooo