Physics, 27.05.2020 20:07 RyleyM

Se lanza una pelota de hule elástica de masa mA con una velocidad VAi contra la puerta trasera de un camión muy pesado de masa mB que se encuentra en reposo ¿Cuáles son las velocidades de ambos objetos después de la colisión? Suponga un choque elástico.

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Answer from: rigobertogarza2

$v_{A}=v_{Ai}$

Explanation:

The total momentum of the system must conserve by the law of momentum conservation.

$p_b=p_a\\\\m_Av_{Ai}+m_Bv_{Bi}=m_Av_{A}+m_Bv_{B}$ ( 1 )

If you consider the shock between the ball and the truck as totally elastic, and also if the truck is much more massive than the ball, you can assume that the truck does not move when the ball hits it.

Then the truck is always at rest

Hence, you have in the expression ( 1 ):

$m_Av_{Ai}+0=m_Av_{A}+0\\\\v_{Ai}=v_{A}$

Answer from: Quest

Tell me the answers for your question and you!

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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Se lanza una pelota de hule elástica de masa mA con una velocidad VAi contra la puerta trasera de un...

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