Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Our platform connects you with professionals ready to provide precise answers to all your questions in various areas of expertise. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

Ina shoots a large marble (Marble A, mass: 0.08 kg) at a smaller marble (Marble B, mass: 0.05 kg) that is sitting still. Marble A was initially moving at a velocity of 0.5 m/s, but after the collision it has a velocity of –0.1 m/s. What is the resulting velocity of marble B after the collision?

Sagot :

Answer:

The resulting velocity of marble B after the collision is 0.96 m/s.

Explanation:

Mass of marble A ,[tex]m_1= 0.08 kg[/tex]

Initial velocity of the marble A,[tex]u_1 = 0.5 m/s[/tex]

Mass of marble B,[tex]m_2 = 0.05 kg[/tex]

Initial velocity of the marble B,[tex]u_2 = 0 m/s[/tex]

final velocity of the marble A,[tex]v_1 = -0.1 m/s[/tex]

final velocity of the marble B,[tex]v_2 = ?[/tex]

Applying law of conservation of mass:

[tex]m_1u_1+m_2u_2=m_1v_1+m_2v_2[/tex]

[tex]0.08 kg\times 0.5 m/s+0.05kg\times 0 m/s=0.08 kg\times (-0.1 m/s)+0.05kg \times v_2[/tex]

[tex] v_2=0.96 /s[/tex]

The resulting velocity of marble B after the collision is 0.96 m/s.

Answer:

the other ball will move with speed 0.96 m/s

Explanation:

Here in collision type of questions we can use momentum conservation because there is no force on the system

So here we will have

[tex]m_a v_{1i} + m_b v_{2i} = m_a v_{1f} + m_b v_{2f}[/tex]

so here we have

[tex]0.08(0.5) + 0.05(0) = 0.08(-0.1) + 0.05 v[/tex]

[tex]0.048 = 0.05 v[/tex]

[tex]v = 0.96 m/s[/tex]

So the light ball will move with speed 0.96 m/s

We appreciate your time. Please revisit us for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.