How Does Rocket Thrust Affect Velocity in Space?

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In space, a 495kg rocket traveling at 85.0m/s fires its engines, producing a thrust force that varies over 30 seconds. The impulse imparted by the engine can be calculated as the area under the force-time graph, which peaks at 1000N for the first 10 seconds. This impulse results in a change in momentum, directly affecting the rocket's velocity. If the thrust direction differs from the initial velocity, trigonometric calculations may be necessary to determine the resultant speed. Understanding these dynamics is crucial for calculating maximum speed in a low-gravity environment.
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Far in space, where gravity is negligible, a 495kg rocket traveling at 85.0m/s in the positive x-direction fires its engines. The figure shows the thrust force as a function of time. The mass lost by the rocket during these 30.0s is negligible.

The variation of F vs t chart is described as t on the x-axis and goes fron 0 to 30s, on the y-axis it goes up to 1000N and the graph goes from 0N at 0s up to 1000N at 10s then back down to 0N at 30 seconds.

1. What impulse does the engine impart to the rocket? in N*s

2. What is the maximum speed?
 
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Crash_Overrid said:
Far in space, where gravity is negligible, a 495kg rocket traveling at 85.0m/s in the positive x-direction fires its engines. The figure shows the thrust force as a function of time. The mass lost by the rocket during these 30.0s is negligible.

The variation of F vs t chart is described as t on the x-axis and goes fron 0 to 30s, on the y-axis it goes up to 1000N and the graph goes from 0N at 0s up to 1000N at 10s then back down to 0N at 30 seconds.

1. What impulse does the engine impart to the rocket? in N*s

2. What is the maximum speed?

The area under Force - time graph gives the impulse. Impulse gives the change in momentum. the change in momentum will give you the change in velocity.

If the force changes direction - or is in a direction different to the initial velocity you have to involve trigonometry / Pythagorus
 
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