Midterm review time!
I just can't manage to get this question.
"A 12kg shopping cart rolls due south at 1.5m/s, 30 degrees E of S. What is the magnitude of the change in momentum sustained by the shopping cart?"
I know momentum equals the mass times the change in velocity, but I'm not sure how to get the correct velocity?
Unless there was some previously different speed or direction, and some sort of collision, there is no change in momentum.
Did you omit a previous set of facts about this problem? Was there some sort of event that is "sustained" ?
To solve this question, you need to find the change in velocity of the shopping cart.
Given that the shopping cart is rolling at 1.5 m/s, 30 degrees E of S, we need to break down this velocity into its north-south and east-west components.
To find the north-south component, we need to find the sine of the given angle. In this case, the angle is 30 degrees E of S, which means it is 60 degrees from the north direction.
The north-south component can be found using the equation:
north-south component = velocity * sin(angle)
north-south component = 1.5 m/s * sin(60 degrees)
Similarly, to find the east-west component, we need to find the cosine of the given angle.
The east-west component can be found using the equation:
east-west component = velocity * cos(angle)
east-west component = 1.5 m/s * cos(60 degrees)
Now that we have the north-south and east-west components of the velocity, we can calculate the change in momentum.
Change in momentum = mass * change in velocity
Since the mass is given as 12kg and the change in velocity can be found using the north-south and east-west components, we can substitute these values into the equation to get the magnitude of the change in momentum.
Change in momentum = 12kg * √(north-south component^2 + east-west component^2)
Simplifying the equation will give you the magnitude of the change in momentum sustained by the shopping cart.