A 700- kg car collides with a 1500- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 15.0 km/h in a direction of 20 o with respect to the positive x axis. The heavier car moves at 18 km/h at -49 o with respect to the positive x axis. What was the initial speed of the lighter car (in km/h)? What was the initial direction (as measured counterclockwise from the x-axis)? **Figure 7.21**This diagram illustrates a collision scenario involving two vehicles, labeled \(m_1\) and \(m_2\), with respective velocities. The initial velocity of \(m_1\) is unknown, indicated as \(v_1 = ?\).- **Axes:** The diagram features a coordinate system with an \(x\)-axis and \(y\)-axis.- **Velocities:** - \(v_1\) is the velocity of vehicle \(m_1\), forming an angle \(\theta_1\) with the \(x\)-axis. - \(v_2\) is the velocity of vehicle \(m_2\), forming an angle \(\theta_2\) with the \(x\)-axis. - **Collision Point:** The origin \(O\) marks the point of collision.- **Angles:** - \(\theta_1\) is the angle between \(v_1\) and the \(x\)-axis. - \(\theta_2\) is the angle between \(v_2\) and the \(x\)-axis.The purpose of the diagram is to determine \(v_1\) using the given information about the motion and angles of the cars. This scenario is part of Problem 7.50 for further analysis.

Name: A 700- kg car collides with a 1500- kg car that was initially at rest
Uploaded: 2024-03-20T06:57:37.000Z
Channel: Bartleby
Description: A 700- kg car collides with a 1500- kg car that was initially at rest at the origin of an x-y coordinate system. After the collision, the lighter car moves at 15.0 km/h in a direction of 20 o with respect to the positive x axis. The heavier car moves