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Answer :
Final answer:
The total momentum of Mighty Mikey and Rod Runner is calculated by finding the momentum of each individual (product of mass and velocity) and adding the results. The total momentum is 618.15 kg-m/s.
Explanation:
The magnitude of the total momentum of Mighty Mikey and Rod Runner can be calculated using the formula of momentum which is the product of mass and velocity. To find the total momentum, we add up the momentum of each individual.
Firstly, we calculate momentum of Mighty Mikey who weighs 93 kg and running down the football field at 3.4 m/s. The momentum of Mighty Mikey will be 93 kg * 3.4 m/s = 316.2 kg-m/s.
Secondly, we calculate momentum of Rod Runner who weighs 61 kg and running towards Mighty Mikey at a speed of 4.95 m/s. The momentum of Rod Runner will be 61 kg * 4.95 m/s = 301.95 kg-m/s.
Finally, we add up the momentum of Mighty Mikey and Rod Runner to find the total momentum. So, the total momentum will be 316.2 kg-m/s + 301.95 kg-m/s = 618.15 kg-m/s.
So, the magnitude of the total momentum of Mighty Mikey and Rod Runner is 618.15 kg-m/s.
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Final answer:
The total momentum of Mighty Mikey and Rod Runner combination is 12.75 kg-m/s.
Explanation:
The momentum of an object is defined as the product of its mass and velocity. To find the total momentum of Mighty Mikey and Rod Runner, we need to add up their individual momenta. The momentum of an object is given by the equation p = mass x velocity.
For Mighty Mikey, the momentum is 93 kg x 3.4 m/s = 316.2 kg-m/s.
For Rod Runner, the momentum is 61 kg x (-4.95 m/s) = -303.45 kg-m/s (negative because Rod Runner is moving in the opposite direction).
To find the total momentum, we add their individual momenta: 316.2 kg-m/s + (-303.45 kg-m/s) = 12.75 kg-m/s.
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