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Answer :
Final answer:
The net force on a 630 kg car pulling a 535 kg trailer, with an acceleration of 2.22 m/s², is found using Newton's second law of motion (F=ma) and is calculated to be 2586.3 N.
Explanation:
To calculate the net force on the car, we can use Newton's second law of motion which states that force equals mass times acceleration (F=ma). Given that the car has a mass of 630 kg and the trailer has a mass of 535 kg, the total mass being accelerated is the sum of the two, which is 1165 kg. The given acceleration is 2.22 m/s².
The net force can be calculated as follows:
Net Force = Total Mass × Acceleration
Net Force = (630 kg + 535 kg) × 2.22 m/s²
Net Force = 1165 kg × 2.22 m/s²
Net Force = 2586.3 N
Therefore, the net force acting on the car is 2586.3 newtons.
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Final answer:
The net force on a 630 kg car pulling a 535 kg trailer, both accelerating at [tex]2.22 m/s^2,[/tex] is 2586.3 Newtons, calculated using Newton's second law of motion (F = ma).
Explanation:
The question is about calculating the net force on a car pulling a trailer, given the mass of both and the acceleration. The net force on an object can be determined using Newton's second law of motion, which states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration (F = ma). In this case, both the car and the trailer are accelerating together, so their combined mass should be used. Hence, the total mass is 630 kg (car) + 535 kg (trailer) = 1165 kg. The acceleration is given as 2.22 m/s2.
To calculate the net force, we use the formula: F = ma. So, F = 1165 kg × 2.22 m/s2 = 2586.3 N. Therefore, the net force on the car is 2586.3 Newtons.
