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Problem 4 Easy Difficulty

In a certain men's track and field event, the shotput has a mass of 7.30 $\mathrm{kg}$ and is released with a speed of 15.0 $\mathrm{m} / \mathrm{s}$ at $40.0^{\circ}$ above the horizontal over a man's straight left leg. What are the initial horizontal and vertical components of the momentum of this shotput?

Answer

$83.9 \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$ ; $70.4 \mathrm{kg} \cdot \mathrm{m} / \mathrm{s}$

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Video Transcript

{'transcript': "we have the months off the shot boot. Most of the shot put em is equal to 7.3 kilogram its initial speedy's 15 meters per second. So initial speed V is equal to 15 meters per second and the angle Peter is equal to 40 degrees right and the angle is above the horizontal. We know they d for particle has lost its components. We'll be X and Levi. Then it's linear momentum components are given by well X component of linear momentum is equal to most times the most along act sixties and lenient momentum along why exes is equal to moss Times velocity long waxes and the velocity components are given by X component Off lost is equal to we go Sign off, Peter, and why Component of velocity is equal to we times sign Tita. All right, well, we take why exes along the vertical and XX is among the horizontal eso. Let's calculate we X and we want well. We X is equal to 15 times go sign off 40 degrees so we X is equal to 11 point 49 meter per second and we y is equal to 15 times Sign of 40 degrees, a sign of 40 degrees, and that is equal to 9.649 point 64 meter for a second now, we can easily find out X and my component of momentum. Let's find out X component off leaner momento. The X is equal to 7.3 times 11 point for nine, and this product is equal to 83 0.8 feet. Killer ground meter per second kill a crown meter per second. That's the unit of momentum and B Y on That's bolena momentum along. Why exes? The lie is equal to 7.3 times nine point 64 The 7.3 times 9.64 is 70.39 So lean and momentum alone waxes physical, too. Saving 2.39 can look round, meter per second kilogram meter or second."}