Answer:
Explanation:
We shall apply conservation of mechanical energy .
initial kinetic energy = 1/2 m v²
= .5 x m x 12 x 12
= 72 m
This energy will be spent to store potential energy . if h be the height attained
potential energy = mgh , h is vertical height attined by block
= mg l sin20 where l is length up the inclined plane
for conservation of mechanical energy
initial kinetic energy = potential energy
72 m = mg l sin20
l = 72 / g sin20
= 21.5 m
deceleration on inclined plane = g sin20
= 3.35 m /s²
v = u - at
t = v - u / a
= (12 - 0) / 3.35
= 3.58 s
it will take the same time to come back . total time taken to reach original point = 2 x 3.58
= 7.16 s
Answer:
An object moves with constant velocity .
Explanation:
•2nd law
Answer:
The fraction of kinetic energy lost in the collision in term of the initial energy is 0.49.
Explanation:
As the final and initial velocities are known it is possible then the kinetic energy is possible to calculate for each instant.
By definition, the kinetic energy is:
k = 0.5*mV^2
Expressing the initial and final kinetic energy for cars A and B:
![ki=0.5*maVa_{i}^2+0.5*mbVb_{i}^2](https://tex.z-dn.net/?f=ki%3D0.5%2AmaVa_%7Bi%7D%5E2%2B0.5%2AmbVb_%7Bi%7D%5E2)
![kf=0.5*maVa_{f}^2+0.5*mbVb_{f}^2](https://tex.z-dn.net/?f=kf%3D0.5%2AmaVa_%7Bf%7D%5E2%2B0.5%2AmbVb_%7Bf%7D%5E2)
Since the masses are equals:
![m=ma=mb](https://tex.z-dn.net/?f=m%3Dma%3Dmb)
For the known velocities, the kinetics energies result:
![ki=0.5*mVa_{i}^2](https://tex.z-dn.net/?f=ki%3D0.5%2AmVa_%7Bi%7D%5E2)
![ki=0.5*m(35 m/s)^2=612.5m^2/s^2*m](https://tex.z-dn.net/?f=ki%3D0.5%2Am%2835%20m%2Fs%29%5E2%3D612.5m%5E2%2Fs%5E2%2Am)
![kf=0.5*mbVb_{f}^2](https://tex.z-dn.net/?f=kf%3D0.5%2AmbVb_%7Bf%7D%5E2)
![kf=0.5*m(25 m/s)^2=312.5m^2/s^2*m](https://tex.z-dn.net/?f=kf%3D0.5%2Am%2825%20m%2Fs%29%5E2%3D312.5m%5E2%2Fs%5E2%2Am)
The lost energy in the collision is the difference between the initial and final kinectic energies:
![kl=ki-kf](https://tex.z-dn.net/?f=kl%3Dki-kf)
![kl = 612.5m^2/s^2*m-312.5 m^2/s^2*m=300 m^2/s^2*m](https://tex.z-dn.net/?f=kl%20%3D%20612.5m%5E2%2Fs%5E2%2Am-312.5%20m%5E2%2Fs%5E2%2Am%3D300%20m%5E2%2Fs%5E2%2Am%20)
Finally the relation between the lost and the initial kinetic energy:
![kl/ki = 300 m^2/s^2 * m / 612.5 m^2/s^2 * m](https://tex.z-dn.net/?f=%20kl%2Fki%20%3D%20300%20m%5E2%2Fs%5E2%20%2A%20m%20%2F%20612.5%20m%5E2%2Fs%5E2%20%2A%20m%20)
![kl/ki = 24/49=0.49](https://tex.z-dn.net/?f=kl%2Fki%20%3D%2024%2F49%3D0.49%20)
Answer:
Do find the answer in the attachment herein.
Explanation:
From the attached diagram:
I. Activation energy = Activated complex - ∆H(reactants)
Activation energy = 162-140 = 22Kj.
II. ∆H(reaction) = ∆H(products) - ∆H(reactants)
∆H(reaction) = 37 - 140 = -103Kj.