Physics, 15.04.2020 01:59 ashtonbillups

A bomb is initially at rest when it suddenly explodes into three pieces. A 5-kg piece goes north at 6 m/s, and a 2-kg piece goes east at 20 m/s. The speed of the third piece is 25 m/s. What is the mass of the third piece

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Answer from: statonglenda

The mass of the third piece is 2kg.

Explanation:

From the conservation of linear momentum, we know that the total initial momentum must be equal to the total final momentum. Since the bomb is initially at rest, its initial momentum is zero. And as momentum is a vector quantity, we have to study each component by separate. Let's name the piece of 5-kg piece A, the piece of 2-kg piece B and the piece of unknown mass piece C.

Now, we know that the momentum in each direction must be conserved (in this case, equal to zero). So, we can consider the momentum in the direction of the piece C; the momentum of piece C has to be equal and opposite to the vectorial sum of momenta of piece A and piece B. And, since those momenta are perpendicular to each other, we can say that:

$p_C=\sqrt{p_A^{2}+p_B^{2}}\\\\m_Cv_C=\sqrt{(m_Av_A)^{2}+(m_Bv_B)^{2}}\\\\m_C=\frac{\sqrt{(m_Av_A)^{2}+(m_Bv_B)^{2}}}{v_C}$ :

Then, plugging in the given values, we obtain:

$m_C=\frac{\sqrt{(5kg)^{2}(6m/s)^{2}+(2kg)^{2}(20m/s)^{2}}}{25m/s}\\\\m_C=2kg$

It means that the mass of the third piece is 2kg.

Answer from: Quest

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.

Answer from: Quest

Is there any opitions? if you have the periodic table, the noble gases are 8a family, the halogen are the 7a family, and the nonmetal are carbon, nitrogen, phosphorus, oxygen, sulfur, selenium, fluorine, chlorine, bromine, iodine and astatine.

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A bomb is initially at rest when it suddenly explodes into three pieces. A 5-kg piece goes north at...