A rocket of mass 5000 kg is launched vertically with a constant thrust of 20,000 N. Calculate the rocket's acceleration and its 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.
Given:
Mass of the rocket (m) = 5000 kg
Thrust (F) = 20000 N
Acceleration (a) = Net force (F) / Mass (m)
= 20000 N / 5000 kg
= 4 m/s^2
Therefore, the rocket's acceleration is 4 m/s^2.
To calculate the rocket's velocity after 30 seconds, we can use the equation of motion:
Velocity (v) = Initial velocity (u) + (Acceleration x Time)
Given:
Initial velocity (u) = 0 (since the rocket is launched vertically)
Acceleration (a) = 4 m/s^2
Time (t) = 30 seconds
Velocity (v) = 0 + (4 m/s^2 x 30 seconds)
= 120 m/s
Therefore, the rocket's velocity after 30 seconds is 120 m/s.
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