A 0.30 kg ball of putty is thrown at a stationary 1.2 kg cart. The ball of putty is initially moving with a speed of 6.0 m/s. Th
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Answer:
- R = ( 4.831 m , 1.469 m )
- Magnitude of R = 5.049 m
- Direction of R relative to the x axis= 16°54'33'
Explanation:
Knowing the magnitude and directions relative to the x axis, we can find the Cartesian representation of the vectors using the formula
where its the magnitude and θ.
So, for our vectors, we will have:
and
Now, we can take the sum of the vectors
This is R in Cartesian representation, now, to find the magnitude we can use the Pythagorean theorem
To find the direction, we can use
As we are in the first quadrant, this is relative to the x axis.