Answer:
E.Potential energy is transformed into kinetic and thermal energy.
Explanation:
At the top of the hill, the roller coaster car has gravitational potential energy, which is given by:
![U=mgh](https://tex.z-dn.net/?f=U%3Dmgh)
where m is the mass of the car, g is the acceleration due to gravity and h is the height of the car from the ground.
As the car moves down, its height h decreases, while its speed v increases: therefore, potential energy is converted into kinetic energy:
![K=\frac{1}{2}mv^2](https://tex.z-dn.net/?f=K%3D%5Cfrac%7B1%7D%7B2%7Dmv%5E2)
where v is the speed of the car.
However, we must also take into account the force of friction between the wheels of the car and the roller coaster track. This force slows down the car, and so some of the car's energy is actually "lost" and converted into thermal energy (which is due to the friction between the car wheels and the track).
B; the law of inertia, there would be no friction to slow or stop the moving object
Answer:
The net force acting on the otter along the incline is 13.96 N.
Explanation:
It is given that,
Mass of the otter, m = 2 kg
Distance covered by otter, d = 85 cm = 0.85 m
It takes 0.5 seconds.
We need to find the net force acts on the otter along the incline. If a is the acceleration of the otter. It can be calculated using second equation of motion as :
![d=ut+\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=d%3Dut%2B%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
Here, u = 0 (at rest)
![d=\dfrac{1}{2}at^2](https://tex.z-dn.net/?f=d%3D%5Cdfrac%7B1%7D%7B2%7Dat%5E2)
![a=\dfrac{2d}{t^2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B2d%7D%7Bt%5E2%7D)
![a=\dfrac{2\times 0.85}{0.5^2}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B2%5Ctimes%200.85%7D%7B0.5%5E2%7D)
![a=6.8\ m/s^2](https://tex.z-dn.net/?f=a%3D6.8%5C%20m%2Fs%5E2)
The net force acting on the otter along the incline is given by :
F = ma
![F=2\ kg\times 6.8\ m/s^2](https://tex.z-dn.net/?f=F%3D2%5C%20kg%5Ctimes%206.8%5C%20m%2Fs%5E2)
F = 13.6 N
So, the net force acting on the otter along the incline is 13.96 N. Hence, this is the required solution.
Answer:
86.7
Explanation:
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