Answered

IDNLearn.com: Your trusted source for finding accurate answers. Join our community to receive prompt, thorough responses from knowledgeable experts.

Two trolleys are moving in the same direction along a track. Trolley 1 has a momentum of 2 kg m/s and Trolley 2 has a momentum of 6 kg m/s. Trolley 2 catches up to Trolley 1. They collide, stick together and move off with a velocity of 2 m/s. Use the principle of conservation of momentum to work out the combined mass of the trolleys.

Sagot :

Leenaidn

Hi there!

Recall the conservation of momentum:

[tex]\large\boxed{m_1v_1 + m_2v_2 = m_1v_1' + m_2v_2'}}[/tex]

For this type of inelastic collision:

[tex]\large\boxed{m_1v_1 + m_2v_2 = v_f(m_1 + m_2)}}[/tex]

Thus, the initial momentum equal the final momentum if there are no external forces.

We can begin by writing out this problem:

[tex]2 + 6 = v_f(m_1 + m_2)[/tex]

[tex]8 = 2(m_1 + m_2)\\\\m_1 + m_2 = \boxed{4 kg}[/tex]

Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Trust IDNLearn.com for all your queries. We appreciate your visit and hope to assist you again soon.