How Do You Calculate Total Momentum of Two Connected Rocks in Motion?

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SUMMARY

The total momentum of a system consisting of two connected rocks can be calculated using the formula for momentum, which is the product of mass and velocity. In this case, rock 1 has a mass of 0.2 kg and a velocity of 2 m/s upwards, while rock 2 has a mass of 0.35 kg and a velocity of 8.5 m/s horizontally. The total momentum is a vector sum of the individual momenta, resulting in a total momentum of 1.4 kg·m/s upwards and 2.975 kg·m/s in the +x direction. Therefore, the total momentum vector can be expressed as (2.975, 1.4) kg·m/s.

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Homework Statement


Two rocks are tied together with a string of negligible mass, and thrown into the air. At a particular instant, rock 1, which has a mass of 0.2 kg, is headed straight up with a speed of 2 m/s, and rock 2, which has a mass of 0.35 kg, is moving parallel to the ground, in the +x direction, with a speed of 8.5 m/s.

What is the total momentum of the system consisting of both rocks and the string?


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