A rocket of mass 1000 kg is launched vertically with a constant thrust of 10,000 N. Calculate the rocket's acceleration and velocity after 30 seconds.
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To calculate the rocket's acceleration, we can use Newton's second law of motion, which states that the acceleration of an object is equal to the net force acting on it divided by its mass.
The net force acting on the rocket is the thrust force, given as 10,000 N.
Acceleration = Net Force / Mass
Acceleration = 10,000 N / 1000 kg
Acceleration = 10 m/s²
The rocket's acceleration is 10 m/s².
To calculate the rocket's final velocity after 30 seconds, we can use the equation of motion:
Final velocity = Initial velocity + (Acceleration × Time)
Given that the initial velocity is 0 m/s (since the rocket is launched from rest), the equation becomes:
Final velocity = 0 m/s + (10 m/s² × 30 s)
Final velocity = 0 m/s + 300 m/s
Final velocity = 300 m/s
The rocket's final velocity after 30 seconds is 300 m/s.
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