Answered

IDNLearn.com provides a seamless experience for finding the answers you need. Our experts provide accurate and detailed responses to help you navigate any topic or issue with confidence.

The largest single publication in the world is the 1112-volume set of British Parliamentary Papers for 1968 through 1972. The complete set has a mass of 3,548 kg. Suppose the entire publication is placed on a cart that can move without friction. The cart is at rest, and a librarian is sitting on top of it, just having loaded the last volume. The librarian jumps off the cart with a horizontal velocity relative to the floor of 2.65 m/s to the right. The cart begins to roll to the left at a speed of 0.03 m/s. Assuming the cart’s mass is negligible, what is the librarian’s mass? Round to the hundredths.

Sagot :

ANSWER:

40.17 kg

STEP-BY-STEP EXPLANATION:

Given:

m1 = 3548 kg

V1 = -0.03 m/s

V2 = 2.65 m/s

We apply law of conservation of linear momentum:

[tex]\begin{gathered} P_i=P_f \\ P_i=0 \\ P_f=m_1\cdot V_1+m_2\cdot V_2 \end{gathered}[/tex]

We replace and calculate the mass as follows:

[tex]\begin{gathered} m_1\cdot V_1+m_2\cdot V_2=0 \\ 3548\cdot-0.03+2.65\cdot m_2=0 \\ -106.44+2.65\cdot m_2=0 \\ m_2=\frac{106.44}{2.65} \\ m_2=40.17\text{ kg} \end{gathered}[/tex]

Therefore the mass is equal to 40.17 kg

We are happy to have you as part of our community. Keep asking, answering, and sharing your insights. Together, we can create a valuable knowledge resource. Thank you for visiting IDNLearn.com. We’re here to provide accurate and reliable answers, so visit us again soon.