A7.5-kg otter slides down a hill, starting from rest at the top. the sloping surface of the hill is 8.8 m long, and the top is 6.5 m above the base. g no friction, what should the otter's speed be at the bottom? b. if the speed of the otter at the bottom of the hil is 9.2 m/s, how much energy was lost to nonconservative forces on the hill?

Part a)

v = 11.3 m/s

Part b)

Energy loss = 160.8 J

Explanation:

Part a)

By Energy conservation we can say that the total energy of the otter at the top of the hill must be same as the total energy of the otter at the bottom of the hill

So we will have

here we know that

H = 6.5 m

now we have

Part b)

If there is no energy loss then the final speed of the otter at the bottom is given as 11.3 m/s

so final kinetic energy is

while if it has some conservative force then the final speed will be 9.2 m/s

so final kinetic energy will be

now the energy loss is given as

does it have any answear choices.

explanation:

scattering of light by tiny particles in air to produce the colors we see on sky, is dependent on the following factors:

(i) wavelength of light

(ii) size of the scattering particle  

(iii) distance traveled by light through the atmosphere.

according to rayleigh's law of scattering, the amount of scattering is inversely proportional to the fourth power of its wavelength. shorter the wavelength, greater is its scattering. hence violet/blue light is scattered more than red.

sun's light is a composite light ( visible light) with wavelengths in the range 400 nm (violet) to 700 nm (red). as sunlight passes through our atmosphere, the molecules of air scatter light according to their wavelengths. during sunrise and sunset, the sun's position is below the horizon. hence light from the sun travels a greater distance in the atmosphere when compared to its position a noon.

as sunlight enters the earth's atmosphere, blue light is scattered away and at the end of its journey in the sky, only red and orange wavelengths remain in the beam.

hence at sunrise and sunset, the sky appears reddish orange.