Problem

(II) A 7700-kg boxcar traveling 14 m/s strikes a …

04:10

Problem 5 Easy Difficulty

(II) Calculate the force exerted on a rocket when the propelling gases are being expelled at a rate of 1300 kg/s with a speed of $4.5 \times 10^4 m/s$.

Answer

$5.9 \times 10^{7} \mathrm{N}$ in the opposite direction of the velocity of the gas

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Physics 101 Mechanics

Physics

Chapter 7

LINEAR MOMENTUM

Section 1

Momentum and Its Relation to Force

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Video Transcript

pose this question. We have a rocket in. This rocket is moving forward. You two's a recoil fact of gas. So just be expelled, a sort of rate and the surge of speech. And is this question is class. What is the force exerted on the rocket when we know the speed and write offs? Cass. So because is this question asked about the force? We need to use Newton's second law? But we need to speak to second now in the form of momentum. So this is equation 17 7 Essential one ofthe Chapter seven. So let's first right down that equation we have Teo Total force is a change of momentum over the change of time. So this is equation simply too, and we can expend situation momentum. It is ums a change of mass times velocity. Oh, and here we can see that so velocity is not changing its a mass. It's changing. So this is D o m. Comes opportunity. So what are we given At a rate of 13 100 kilograms Astarte n and a speed of thiss sci fi. But this rate is asserting 100 kilogram per second, so that also involves a dirty So this is actually down to em over to our cities. And this's Avi. So we have everything we need here, and we just need you plucking the equation so you can write Force equals Delta Em or Radio City crime sphere. That is good. Whose 1,300 kilogram per second times, 45,000 meter specific inside that gives us, um, 5.9, uh, times 10 to the seven kilogram meaner precision square. And this is thing unit issue as muted. So because he's a unit check softer. So we also force is the vector, so we also need to tell the direction. But we can imagine that it's a rocket and the gas is clean. One direction some force exerted on the rest of America is going to be. It's the opposite direction on, sir, curiosity of scarce. So that is the direction of force

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