Physics, 01.08.2019 21:00 OnlyaBurden

Abody 'a' of mass 1.5kg travelling along the positive x-axis with speed of 4.5m/s collides with another body 'b' of mass 3.2kg, which initially is at rest as a result of the collision, 'a' is deflected and moves in a speed of 2.1m/s in a direction which is at an angle of 30 degree below the x-axis. 'b' is set in motion at an angle φ above the x-axis. calculate the velocity of 'b' after the collision.

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We can solve this problem using only the law of conversion of energy. Because you don't need to calculate the angle $\phi$ you don't have to deal with momentum and this makes this problem a lot easier. A good portion of the information about the problem is redundant. We have masses of both bodies and velocity of body A before and after the collision. You can see that it's velocity decreased, that's because some of it's initial energy was transferred to body B.
Let us write down the law of conversion of energy.
$\frac{m_av_a^2}{2} = \frac{m_av'_a^2}{2} + \frac{m_bv_b^2}{2}$
m_bv_b^2=m_a(v_a^2-v'_a^2)

$v_b= \sqrt{ \frac{m_a(v_a^2-v'_a^2)}{m_b} }$
The final answer is:
$v_b=2.72 \frac{m}{s}$

Answer from: Quest

the arctic is a region of the planet, north of the arctic circle, and includes the arctic ocean, greenland, baffin island, other smaller northern islands, and the far northern parts of europe, russia (siberia), alaska and canada.

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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Abody 'a' of mass 1.5kg travelling along the positive x-axis with speed of 4.5m/s collides with anot...

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