Physics, 07.11.2019 23:31 aeverettpdzrvo

An object, with mass m and speed v relative to an observer, explodes into two pieces, one three times as massive as the other; the explosion takes place in deep space. the less massive piece stops relative to the observer. how much kinetic energy is added to the system during the explosion, as measured in the observer's reference frame? (use any variable or symbol stated above as necessary.)

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Answer from: khayes7400

a) $K_{f}$ / K₀ = 27/64

Explanation:

We will solve this problem with the expressions of the moment. Let us form a system that contains the initial stone and the two final fragments, all the forces are internal and the moment is preserved.

Moment before the explosion

p₀ = M v

After the explosion

Mt = 3m + m = 4m

$p_{f}$ = (3m) vf + m (0)

p₀ = $p_{f}$

M v = (3m) $v_{f}$

$v_{f}$ = v 3m / M

$v_{f}$ = v 3m / 4m

$v_{f}$ = ¾ v

Having the speed of the stones before and the fragments we can calculate the kinetic energy

Before explosion

K₀ = ½ M v²

K₀ = ½ 4m v²

K₀ = 2 mv²

After explosion

$K_{f}$ = ½ (3m) $v_{f}$ ² + 0

$K_{f}$ = ½ (3m) (¾ v)²

$K_{f}$ = 27/32 m v²

The relationship between energy is the division of them

$K_{f}$ / K₀ = 27/32 mv2 / (2 mv2)

$K_{f}$ / K₀ = 27/64

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

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:

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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.

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An object, with mass m and speed v relative to an observer, explodes into two pieces, one three time...

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