How Does Rocket Thrust Affect Velocity in Space?

In summary, the rocket's engines impart an impulse to the rocket, which is equal to the change in momentum and ultimately leads to a change in velocity. The maximum speed can be found by calculating the area under the Force-time graph, which will give the impulse and thus the change in momentum.
  • #1
Crash_Overrid
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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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  • #2
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
 

FAQ: How Does Rocket Thrust Affect Velocity in Space?

What is momentum in physics?

Momentum in physics is defined as the quantity of motion an object has. It is calculated as the product of an object's mass and velocity.

How is momentum calculated?

Momentum is calculated by multiplying an object's mass (m) in kilograms by its velocity (v) in meters per second. The formula for momentum is p = m * v.

What are the units of momentum?

The units of momentum are kilogram-meters per second (kg*m/s). This is the combination of the units of mass (kg) and velocity (m/s).

What is the law of conservation of momentum?

The law of conservation of momentum states that the total momentum of a closed system remains constant. This means that in a collision or explosion, the total momentum before and after the event will be the same.

How does momentum affect collisions?

Momentum plays a crucial role in collisions. In an elastic collision, where no energy is lost, the total momentum before and after the collision will be the same. In an inelastic collision, where some energy is lost, the total momentum will be conserved but may be distributed differently among the objects involved.

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