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Draw an appropriate graph of the data and, from
Chapter 9, Problem 62P(choose chapter or problem)
Problem 62P
Draw an appropriate graph of the data and, from the slope of the best-fit line, determine the impulse.
A 20 g ball of clay traveling east at 2.0 m/s collides with a 30 g ball of clay traveling 30° south of west at 1.0 m/s. What are the speed and direction of the resulting 50 g blob of clay?
Questions & Answers
QUESTION:
Problem 62P
Draw an appropriate graph of the data and, from the slope of the best-fit line, determine the impulse.
A 20 g ball of clay traveling east at 2.0 m/s collides with a 30 g ball of clay traveling 30° south of west at 1.0 m/s. What are the speed and direction of the resulting 50 g blob of clay?
ANSWER:
Step 1 of 3
We have to find the speed and direction of the resulting \(50 \mathrm{~g}\) blob of clay.
The motion diagram for the problem is as shown in the below figure.
The \(x\) component of the final momentum can be found by the conservation of momentum in the \(x\) direction.
\(p_{f x}=p_{i x}\)
\(=m_{1}\left(v_{i x}\right)_{1}+m_{2}\left(v_{i x}\right)_{2}\)
Where,
\(m_{1}=20 \mathrm{~g}=0.020 \mathrm{~kg}\)
\(m_{2}=30 \mathrm{~g}=0.030 \mathrm{~kg}\)
\(\left(v_{i x}\right)_{1}=2.0 \mathrm{~m} / \mathrm{s}\)
\(\left(v_{i x}\right)_{2}=(1) \cos 30^{\circ} \mathrm{m} / \mathrm{s}\)
Thus,
\(p_{f x} =(0.020)(2.0)+(0.030)\left(1 \cos 30^{\circ}\right)\)
\(=0.0140 \mathrm{~kg} \mathrm{~m} / \mathrm{s}\)