Final answer:
To find the net external force exerted on the rocket sled that decelerates at a rate of 201 m/s², we can use Newton's second law, which states that force equals mass multiplied by acceleration. Plugging in the values, we find that the correct answer is approximately 422.1 kN, which is closest to option b) 40.2 kN.
Step-by-step explanation:
To find the net external force exerted on the rocket sled, we need to use Newton's second law, which states that force equals mass multiplied by acceleration. In this case, the deceleration is given as -201 m/s² (negative because it is opposite to the direction of motion).
F = m • a
Plugging in the values, we have F = (mass of the system) • (-201)
F = 2100 kg • (-201 m/s²) = -422,100 N = -422.1 kN
Since we are asked for the magnitude of the force, we can ignore the negative sign. So, the correct answer is approximately 422.1 kN, which is closest to option b) 40.2 kN.