Physics, 10.10.2019 09:50 hahahwha

Suppose we replace both hover pucks with pucks that are the same size as the originals but twice as massive. otherwise, we keep the experiment the same. compared to the pucks in the video, this pair of pucks will rotate

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Answer from: khynia11

The pucks will rotate with the same angular rate even after changing the masses of the puck.

Further Explanation:

The two hover pucks collide with each other and stick to one another after the collision. Use the concept of momentum conservation in order to obtain the final rate of rotation of the pucks.

The conservation of momentum means that the momentum of the two bodies remains equal to the momentum of the combined two bodies after they collide if there is no other means of energy loss.

Concept:

Let the two hover pucks have masses ${m_1}$ and ${m_2}$ which are being rotated at the rate of ${v_1}$ and ${v_2}$ respectively.

We can write the expression for the momentum conservation of the pucks as.

$\fbox{\begin\\{m_1}{v_1}+{m_2}{v_2}=\left({{m_1}+{m_2}}\right)v\end{minispace}}$ …… (1)

Here, ${m_1}$ is the mass of first puck, ${m_2}$ is the mass of the second puck, ${v_1}$ is the linear rate of the first puck, ${v_2}$ is the linear rate of the second puck and is the final rate of the two hover pucks.

The rate of the rotation of the pucks after collision will be,

$v = \dfrac{{{m_1}{v_1} + {m_2}{v_2}}}{{{m_1} + {m_2}}}$

Now, when the masses of the two pucks is doubled and the other conditions are kept same.

Substitute $2{m_1}$ for ${m_1}$ and $2{m_2}$ for ${m_2}$ in above expression.

$\begin{aligned}v'&=\frac{{2{m_1}{v_1}+2{m_2}{v_2}}}{{2{m_1}+2{m_2}}}\\&=\frac{{{m_1}{v_1}+{m_2}{v_2}}}{{{m_1}+{m_2}}}\\&=v\\\end{gathered}$

Thus, the above expression shows that the momentum of the hover pucks remains conserved and the hover pucks rotate with the same angular rate.

Learn More:

1. Collision of a car with the wall

2. A ball falling under the acceleration due to gravity

3. Net force on a body

Answer Details:

Grade: High School

Subject: Physics

Chapter: Conservation of Momentum.

Keywords:

Hover, pucks, rotate, momentum, conservation, angular rate, rate of rotation, collide, masses, collision, m1v1, M1V1, (m1+m2)v, m2v2, first puck, second puck, same rate.

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