Answer:
Total mechanical energy is the sum of potential energy plus kinetic energy. The kinetic energy will be 250 [J] and the potential energy is zero, therefore Total mechanical energy will be 250 + 0 =250[J]
Explanation:
This is a problem that applies the principle of energy conservation, i.e. mechanical energy that will be transformed into kinetic energy. We need to identify what kind of energy we have depending on the position of the ball with respect to the reference axis we take.
The reference axis or reference point is the point at which the potential energy is equal to zero, for this case we will take the ground as our reference point.
We know that the potential energy is defined by:
![E_{p}=m*g*h\\ where:\\m=mass[kg]\\g=gravity[m/s^2]\\h=elevation[m]](https://tex.z-dn.net/?f=E_%7Bp%7D%3Dm%2Ag%2Ah%5C%5C%20where%3A%5C%5Cm%3Dmass%5Bkg%5D%5C%5Cg%3Dgravity%5Bm%2Fs%5E2%5D%5C%5Ch%3Delevation%5Bm%5D)
We can clear the mass from this equation:
![m=\frac{E_{p} }{(g*h)} \\m=\frac{250 }{(9.81*5)} \\\\m=5.09[kg]](https://tex.z-dn.net/?f=m%3D%5Cfrac%7BE_%7Bp%7D%20%7D%7B%28g%2Ah%29%7D%20%5C%5Cm%3D%5Cfrac%7B250%20%7D%7B%289.81%2A5%29%7D%20%5C%5C%5C%5Cm%3D5.09%5Bkg%5D)
When this body falls its potential energy will decrease but its kinetic energy will increase and reach its maximum value when the ball reaches the ground.
In such a way that its potential energy would be transformed into kinetic energy.
![E_{k} = E_{p} \\E_{k} =kinetic energy [J]](https://tex.z-dn.net/?f=E_%7Bk%7D%20%3D%20E_%7Bp%7D%20%5C%5CE_%7Bk%7D%20%3Dkinetic%20energy%20%5BJ%5D)
Since the potential energy has been transformed all into kinetic energy the amount of energy is conserved, therefore the total mechanical energy will remain the same.
Expectations relate to future schooling by choosing classes that are at your skill level.
Answer: Option B
<u>Explanation:
</u>
Each individual has a different set of skills blessed by the Mighty and each should enhance them according to his/her will and interest. For the future prospects of schooling and teaching, there is one noticeable point to be acted is that students should not be forced to study the subject beyond their skills and capability.
We should remember that a fish cannot fly and a bird cannot swim. They both cannot be trained under the same study programmes. Although they both can know how to swim and fly but it’s their capability and interest over the subjects that can lead them further to rule over either the sky or the oceans.
So, the future school programming should be done in such a way that individuals have an authority to choose their subjects accordingly and learn more about their skills.
Answer:
0.1m/s²
Explanation:
Using the equation of motion
V = u+at
V is the final speed = 0.9m/s
Initial speed u = 0.5m/s
Time = 4secs
Get the acceleration
0.9 = 0 5+4a
0.9-0.5 = 4a
0.4 = 4a
a = 0.4/4
a = 0.1m/s²
Hence the acceleration is 0.1m/s²