Lost in Space Context A space shuttle drifts through space. At one point, its motors are turned on for a certain amount of time, which exerts a force perpendicular to its initial trajectory. Your objective is to determine the speed vector of the shuttle when the engines turn off. Constraints The mass of the ship is known, as well as its initial speed. The length of time the motors are on is known. The force generated by the motor is known and assumed to be constant. Modelization Models the modulus of the final speed (in km/h) according to the known parameters. Then model the angle the shuttle will travel after the motors turn off. This angle is the smallest angle measured with respect to the initial direction. Then test your model with the following parameters: Initial velocity: 460 km/h; Shuttle mass: 2098000 kg; Engine ignition duration: 13 s; Net force of motors: 4700000 N.
Lost in Space
Context
A space shuttle drifts through space. At one point, its motors are turned on for a certain amount of time, which exerts a force perpendicular to its initial trajectory. Your objective is to determine the speed vector of the shuttle when the engines turn off.
Constraints
The mass of the ship is known, as well as its initial speed.
The length of time the motors are on is known.
The force generated by the motor is known and assumed to be constant.
Modelization
Models the modulus of the final speed (in km/h) according to the known parameters. Then model the angle the shuttle will travel after the motors turn off. This angle is the smallest angle measured with respect to the initial direction.
Then test your model with the following parameters:
Initial velocity: 460 km/h;
Shuttle mass: 2098000 kg;
Engine ignition duration: 13 s;
Net force of motors: 4700000 N.
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