Two masses, $ m_y = 32 $ $ \text{kg} $ and $ m_z = 38 $ $ \text{kg} $, are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder of radius $ R = 0.311 $ $ \text{m} $ and mass $ 3.1 $ $ \text{kg} $. Initially, $ m_y $ is on the ground and $ m_z $ rests $ 2.5 $ $ \text{m} $ above the ground.

Question

Two masses, $ m_y = 32 $ $ \text{kg} $ and $ m_z = 38 $ $ \text{kg} $, are connected by a rope that hangs over a pulley. The pulley is a uniform cylinder of radius $ R = 0.311 $ $ \text{m} $ and mass $ 3.1 $ $ \text{kg} $. Initially, $ m_y $ is on the ground and $ m_z $ rests $ 2.5 $ $ \text{m} $ above the ground.(a) If the system is released, use conservation of energy to determine the speed of $ m_z $ just before it strikes the ground. Assume the pulley bearing is frictionless.
, (b) Verify your answer to part (a) by using forces, torque, and kinematics, instead. This part also serves to drive home how conservation of energy can often be used to dramatically simplify problem solving.
:

Jason · Accepted Answer

$2.03 \text{ m/s}$

AP Physics 1 With Jason

AP Physics 1

Log In to Continue

Similar Questions

Tools for a 5