Answer :
To determine the magnitude of the required net force, we can use Newton's second law of motion. Given the mass of the rocket sled (340 kg) and the acceleration rate, we can calculate the net force. The magnitude of the required net force is approximately 654.20 N.
According to Newton's second law of motion, the net force acting on an object is equal to the product of its mass and acceleration. Mathematically, [tex]F_{net} = m * a.[/tex]
Given:
Mass of the rocket sled (m) = 340 kg
Final velocity (v) = 1700 km/h
Time taken (t) = 245 s
Convert the final velocity from km/h to m/s:
Final velocity (v) = 1700 km/h * (1000 m/km) / (3600 s/h) = 472.22 m/s
Calculate the acceleration (a) using the formula:
Acceleration (a) = (Final velocity - Initial velocity) / Time taken
Since the sled starts from rest, the initial velocity is 0 m/s.
Acceleration (a) = (472.22 m/s - 0 m/s) / 245 s = 1.93 m/s²
Apply Newton's second law of motion:
Net force (F_net) = Mass (m) * Acceleration (a)
Net force (F_net) = 340 kg * 1.93 m/s² = 654.20 N
Therefore, the magnitude of the required net force to accelerate the rocket sled is approximately 654.20 N.
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