Question

A 1000-kg aircraft going 25 m/s collides with a 1500-kg aircraft that is parked. They stick
together after the collision and are moving at 10 m/s. If they skid for 9.7 seconds before
stopping, how far (in meters) did they skid?

Answer 1

Answer:

48.54 m

Explanation:

Mass of moving aircraft = 1000 kg

Mass of stationary aircraft = 1500 kg

Velocity of moving aircraft = 25 m/s

Velocity by which they both move together = 10 m/s

t = Time taken

u = Initial velocity

v = Final velocity

s = Displacement

a = Acceleration

$v=u+at\\\Rightarrow 0=10+a\times 9.7\\\Rightarrow \frac{-10}{9.7}=a\\\Rightarrow a=-1.03\ m/s^2$

$v^2-u^2=2as\\\Rightarrow s=\frac{v^2-u^2}{2a}\\\Rightarrow s=\frac{0^2-10^2}{2\times -1.03}\\\Rightarrow s=48.54\ m$

Both planes skid a distance of 48.54 m