Change in Linear Momentum with mass and velocity

AI Thread Summary
The discussion focuses on calculating the change in kinetic energy and linear momentum of a truck that changes direction and speed. The kinetic energy change was calculated to be approximately 88450 J. However, there was confusion regarding the calculation of momentum change, as the initial method used was incorrect; it requires vector analysis rather than simple subtraction. To determine the direction of the change in momentum, a diagram and trigonometric functions are necessary, emphasizing that momentum is a vector quantity. Proper understanding of vector addition is crucial for solving the problem accurately.
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Homework Statement




A 2700 kg truck traveling north at 37 km/h turns east and accelerates to 47 km/h.

(a) What is the change in the truck's kinetic energy?

(b) What is the magnitude of the change in the linear momentum of the truck?

(c) What is the direction of the change in the linear momentum of the truck?
__° (measured clockwise from east)

Homework Equations



p = m * v

The Attempt at a Solution


Part A is easy enough, i found it to be around 88450 J.

Part B, finding the change in momentum, I tried (m * v) - (M * V), with the latter part being the final speed (after converting to m/s), and got an answer of 7400 kg*m/s, which was wrong. I don't see why this doesn't work, so any explination would be much appreciated.

Part C, I have no clue.. I don't remember seeing any formulas with angles in them.. after searching google i found some confusing looking formulas that have to do with angular momentum, but the problem specifically says linear.. so any insights on that would be appreciated as well, thanks.
 
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You're messing this up because momentum is a vector! Find the magnitudes of the initial and final momentum -- but then don't just subtract! Make a diagram and do the vector math (it will involve trig functions).
 
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