2D vector Magnitude & Direction:
Initial momentum is zero - the watermelon was at rest.
Conservation of momentum along the y-axis:
0 = (mV - (3m)(Vf)cosθ)j
Conservation of momentum along the x-axis:
0 = (mV - (3m)(Vf)sinθ)i
Adding the two equations:
A watermelon is blown into three pieces by a large firecracker. Two pieces of equal mass m fly away perpendicular to one another, one in the x direction another in the y direction. Both of these pieces fly away with a speed of V = 25 m/s. The third piece has three times the mass of the other two pieces.
Part (a) Write an expression for the speed of the larger piece, that is in terms of only the variable V.
Part (b) What is the numeric value for the speed of the larger piece, in meters per second?
Part (c) At what angle does the largest piece travel with respect to the -y axis, in degrees?
Frequently Asked Questions
What scientific concept do you need to know in order to solve this problem?
Our tutors have indicated that to solve this problem you will need to apply the Push-Away Problems concept. You can view video lessons to learn Push-Away Problems. Or if you need more Push-Away Problems practice, you can also practice Push-Away Problems practice problems.
What professor is this problem relevant for?
Based on our data, we think this problem is relevant for Professor Onel's class at IOWA.