1. A firecracker is heading due north with speed v when it explodes into two pieces of equal mass. If one piece is traveling due west with speed v, what is the speed and direction of the second piece? Hint: Call the mass of the firecracker m. Draw a north-south-east-west diagram and overlay a coordinate system (pick an x- and y-direction). Write the initial momentum of the firecracker as a vector (include unit vector notation). Once the firecracker splits in half, what is the mass of each piece? Write the momentum of the piece traveling due west as a vector. Set up a conservation of momentum equation (initial momentum of single firecracker = final momentum of each piece added together), where the components of momentum of the second piece are unknown. Split your equation into components in each direction and solve.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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1. A firecracker is heading due north with speed v when it explodes into two pieces of equal
mass. If one piece is traveling due west with speed v, what is the speed and direction of
the second piece?
Hint: Call the mass of the firecracker m. Draw a north-south-east-west diagram and overlay a
coordinate system (pick an x- and y-direction). Write the initial momentum of the firecracker as
a vector (include unit vector notation). Once the firecracker splits in half, what is the mass of
each piece? Write the momentum of the piece traveling due west as a vector. Set up a
conservation of momentum equation (initial momentum of single firecracker = final momentum
of each piece added together), where the components of momentum of the second piece are
unknown. Split your equation into components in each direction and solve.
Transcribed Image Text:1. A firecracker is heading due north with speed v when it explodes into two pieces of equal mass. If one piece is traveling due west with speed v, what is the speed and direction of the second piece? Hint: Call the mass of the firecracker m. Draw a north-south-east-west diagram and overlay a coordinate system (pick an x- and y-direction). Write the initial momentum of the firecracker as a vector (include unit vector notation). Once the firecracker splits in half, what is the mass of each piece? Write the momentum of the piece traveling due west as a vector. Set up a conservation of momentum equation (initial momentum of single firecracker = final momentum of each piece added together), where the components of momentum of the second piece are unknown. Split your equation into components in each direction and solve.
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