Respuesta :
Answer:
The kinetic energy of the clam at a height of 5.0 m is 5.19 J and the speed of the clam at that height is 9.71 m/s.
Explanation:
Mechanical energy is constant throughout the travel, we know that mechanical energy is calculated by adding potential energy and kinetic energy. Potential energy = [tex]m \times g \times h[/tex], Kinetic energy = [tex]\frac{1}{2} \times m \times v^{2}[/tex] and Mechanical energy = [tex]m \times g \times h+\frac{1}{2} \times m \times v^{2}[/tex] Kinetic energy is zero at initial point. Now mechanical energy of clam with m=0.11kg,g=9.81[tex]\frac{m}{s^{2}}[/tex],h=9.8 m is = 0.11×9.81×9.8 = 10.58 J.
Mechanical energy of clam at a height of 5.0 m = [tex]0.11 \times 9.81 \times 5+\frac{1}{2} \times m \times v^{2}[/tex] =[tex]5.39+\frac{1}{2} \times m \times v^{2}[/tex]. We know that mechanical energy is constant hence, mechanical energy of clam at height 9.8 m is equal to mechanical energy at height 5.0 m. This is represented as following
10.58 = [tex]5.39+\frac{1}{2} \times m \times v^{2}[/tex] 10.58 – 5.39 =[tex]\frac{1}{2} \times m \times v^{2}[/tex] 5.19 = [tex]\frac{1}{2} \times m \times v^{2}[/tex] kinetic energy of the clam is 5.19 J.
Now speed of the clam at height 5.0 m is 5.19 = [tex]\frac{1}{2} \times 0.11 \times v^{2} \frac{5.19 \times 2}{0.11}=v^{2}[/tex] 94.36 = [tex]v^{2} \sqrt{94.36}=v \quad v[/tex]= 9.71 m/s. The speed of the clam is 9.71 m/s.
The kinect energy is equal to 5.19J and the velocity is equal to 9.71m/s.
Mechanical energy
The kinetic energy of an object at a given point depends on the ratio of its mechanical energy.
This energy is always constant, so we can make the following equality:
[tex]E_m = E_p + E_k[/tex]
[tex]E_m = m \times g \times h + \frac{m\times v^{2}}{2}[/tex]
- 1º
[tex]E_m = 0.11 \times 9.81 \times 9.8 + 0 \\E_m = 10.58J[/tex]
- 2º
[tex]E_m = 0.11 \times 9.81 \times 5 + \frac{0.11\times v^{2}}{2}[/tex]
- 1º = 2º
[tex]10.58 = 0.11 \times 9.81 \times 5 + \frac{0.11\times v^{2}}{2}\\[/tex]
[tex]v = 9.71m/s[/tex]
Finally, we can calculate the kinetic energy:
[tex]E_k= \frac{0.11\times 9.71^{2}}{2}\\E_k = 5.19J[/tex]
So, the kinect energy is equal to 5.19J and the velocity is equal to 9.71m/s.
Learn more about mechanical energy in: brainly.com/question/14127859
