- #1

RioAlvarado

- 15

- 4

## Homework Statement

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Two cars are approaching a perpendicular intersection without a stop sign. Car 1 has a mass ## m_1 = 900 kg ## and is heading north at ##v_1 = 25 m/s ##. Car 2 has mass ##m_2 = 700 kg ## and is heading west at an unknown speed ##v_2##. The two cars collide at the intersection, and stick together as a result of the collision. The police report stated that after the collision, the two cars moved together in a direction 40 degrees west of north and stopped after sliding ## d = 35 m ## from the collision point.a. Find the speed of car 2 before the collision. ##v_2 = ##b. What is the speed of the cars immediately after the collision? ## v = ##c. What is the coefficient of kinetic friction between the cars and the pavement? ##μ_k = ##d. What is the magnitude of the impulse exerted on car 1 during the collision? ##J_1 = ##e. If the collision lasted 0.3 seconds, then what is the magnitude of the average force on car 1 during the collision? ##F_{avg} = ##

f. What is the magnitude of the impulse exerted on car 2 during the collision? ##J_2 = ##

## Homework Equations

I assume:

##m_1*v_{i1}+m_2*v_{i2} = v_{f1}*m_1 + v_{f2}*m_2) ## eq. 1

##P = mv## eq. 2

##J = \int_{t_i}^{t_f} F dt## eq. 3

##P_f = P_i + J## eq. 4

There may be others, but those are the ones I could think of.

## The Attempt at a Solution

I thought to try and use systems of equations to find my speeds, my attempt was:

##20*900 + 800*v_2 =v_{1f}*900 + v_{2f}*800 , tan(40)=\frac{v_{2f}}{v_{1f}}##. However as can be seen I ran into the issue of having two equations and three unknowns. I obtained the ##tan(40)## piece from (what I think to be a correct) extrapolation from the information about both cars moving together in a direction of 40 degrees. Beyond that I am stuck, and obviously unable to continue on to the next parts.My thanks for any and all assistance.