**Problem Statement:**Consider the system of two crates shown below, which are tethered to each other by a massless string, which runs over a massless frictionless pulley. Crate 1’s mass is \( m_1 = 35.0 \, \text{kg} \) and crate 2’s mass is \( m_2 = 60.0 \, \text{kg} \). Suppose crate 1 slides \( L = 22.0 \, \text{m} \) up the ramp and starts from rest. The coefficient of kinetic friction between crate 1 and the ramp is \( \mu_k = 0.205 \). Determine the speed of crate 1 after sliding \( L = 22.0 \, \text{m} \) up the ramp. Let \( \theta = 31.7^\circ \).**Diagram Description:**- The diagram depicts a ramp inclined at an angle \( \theta = 31.7^\circ \).- Crate 1 with mass \( m_1 \) is on the inclined ramp.- Crate 2 with mass \( m_2 \) hangs vertically off the edge of the ramp, attached to crate 1 via a pulley system.- The ramp shows the direction of motion for crate 1 with an arrow pointing upwards along the ramp.- The distance \( L = 22.0 \, \text{m} \) is marked along the ramp, indicating the length crate 1 travels.- A pulley is illustrated at the top of the ramp, connected to both crates. **Objective:**Calculate the speed of crate 1 after it has slid 22.0 meters up the ramp, taking into account the effects of kinetic friction and gravity.

Name: **Problem Statement:**Consider the system of two crates shown below,
Uploaded: 2024-03-20T06:57:57.000Z
Channel: Bartleby
Description: **Problem Statement:**Consider the system of two crates shown below, which are tethered to each other by a massless string, which runs over a massless frictionless pulley. Crate 1’s mass is \( m_1 = 35.0 \, \text{kg} \) and crate 2’s mass is \( m_2