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1. A 6.5 kg scooter moves with a constant acceleration of [tex]3.4 \, \text{m/s}^2[/tex]. Determine the net applied force responsible for the acceleration.

2. What average net force is required to accelerate a 405 kg motorcycle, initially at rest, to a speed of [tex]27.2 \, \text{m/s}[/tex] over a distance of 185 m?

Answer :

The net applied force responsible for the acceleration of the scooter is 22.1 Newtons.

The average net force required to accelerate the motorcycle to the given speed over the given distance is 436.38 Newtons.

1. To determine the net applied force responsible for the acceleration of the 6.5 kg scooter, we can use Newton's second law of motion, which states that force is equal to mass multiplied by acceleration (F = m * a). In this case, the mass of the scooter is 6.5 kg, and the acceleration is given as 3.4 m/s^2. Plugging these values into the equation, we get:

[tex]F = 6.5 kg * 3.4 m/s^2[/tex]
F = 22.1 N

Therefore,

2. To determine the average net force required to accelerate a 405 kg motorcycle from rest to a speed of 27.2 m/s over a distance of 185 m, we can use the equation for average force:

Average force (F) = mass (m) * acceleration (a)

The initial speed is zero, so we can use the equation:

Final velocity^2 = Initial velocity^2 + 2 * acceleration * distance

Rearranging the equation, we get:

Acceleration = (Final velocity^2 - Initial velocity^2) / (2 * distance)



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