Answer :
Final answer:
To find the magnitude of the force exerted on the snowmobile, use Newton's second law of motion. The force exerted on the snowmobile is -7.575 N.
Explanation:
To find the magnitude of the force exerted on the snowmobile, we can use Newton's second law of motion, which states that force is equal to the mass of an object multiplied by its acceleration.
First, let's calculate the acceleration of the snowmobile using the equation: acceleration = (final velocity - initial velocity) / time. Plugging in the given values: acceleration = (0.1 m/s - 4.6 m/s) / 60 s = -0.075 m/s². Since the acceleration is negative, it means the snowmobile is decelerating.
Now, we can find the magnitude of the force using the equation: force = mass × acceleration. Plugging in the given values: force = 101 kg × -0.075 m/s² = -7.575 N.
The negative sign indicates that the force is exerted in the opposite direction of motion.
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