Question

The figure below shows two boxes connected to each other by a light cord that passes over a pulley with negligible friction. The box of mass m1 = 3.80 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.6 kg hangs vertically. (a) What is the magnitude of the acceleration of each box (in m/s²)? (Here, a1 is the acceleration of m1, and a2 is the acceleration of m2.) a1 = m/s² a2 = m/s² (b) What is the tension in the cord (in N)?

          The figure below shows two boxes connected to each other by a light cord that passes over a pulley with negligible friction.
The box of mass m1 = 3.80 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.6 kg hangs vertically.
(a) What is the magnitude of the acceleration of each box (in m/s²)? (Here, a1 is the acceleration of m1, and a2 is the acceleration of m2.)
a1 = m/s²
a2 = m/s²
(b) What is the tension in the cord (in N)?

The figure below shows two boxes connected to each other by a light cord that passes over a pulley with negligible friction.
The box of mass m1 = 3.80 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.6 kg hangs vertically.
(a) What is the magnitude of the acceleration of each box (in m/s²)? (Here, a1 is the acceleration of m1, and a2 is the acceleration of m2.)
a1 = m/s²
a2 = m/s²
(b) What is the tension in the cord (in N)?

Added by Paul B.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Paul Gabriel

05/23/2022

Step 1

- For mass \(m_1\) (3.80 kg), the forces are tension (\(T\)) in the direction of the cord and its weight (\(m_1g\)), but since it's on a frictionless surface, we ignore friction. - For mass \(m_2\) (10.6 kg), the forces are its weight (\(m_2g\)) acting downwards Show more…

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The figure below shows two boxes connected to each other by a light cord that passes over a pulley with negligible friction. The box of mass m1 = 3.80 kg lies on a horizontal table with negligible friction, while the box of mass m2 = 10.6 kg hangs vertically. (a) What is the magnitude of the acceleration of each box (in m/s²)? (Here, a1 is the acceleration of m1, and a2 is the acceleration of m2.) a1 = m/s² a2 = m/s² (b) What is the tension in the cord (in N)?