Please help ASAP. A 1550 kg car is initially at rest on level ground when the engine does 450 000 J of work on it. After the car reaches its top speed, the engine cuts out and the car begins to roll up a hill. If the car continues to roll until its velocity is zero, what final height will it reach?

29.6 m

Explanation:

Work is change in KE, and at the bottom of the hill, the car only has KE. Therefore, the car's total mechanical energy (ME) at the bottom of the hill must be equal to its KE (450 000 J). At the top of the hill, the car is no longer moving, so its total energy must be all gravitational potential energy. Following convervation of ME:

the small 0.38-kg slider is known to move from position a to position b along the vertical-plane slot. determine (a) the work done on the body by its weight and (b) the work done on the body by the spring. the distance r = 0.70 m, the spring modulus k = 154 n/m, and the unstretched length of the spring is 0.53 m

explanation:

-reverse card

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.