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A motorcycle can produce an acceleration of 3.50 m/s² while traveling at 90.0 km/h. What is the magnitude of the force that the motorcycle exerts backward on the ground?

a) 854 N
b) 899 N
c) 872 N
d) 837 N

1 Answer

5 votes

Final answer:

The magnitude of the force that the motorcycle exerts backward on the ground is approximately 857.5 N.

Step-by-step explanation:

The magnitude of the force that the motorcycle exerts backward on the ground can be determined using Newton's second law of motion, which states that force is equal to mass multiplied by acceleration.

Given:
Acceleration (a) = 3.50 m/s²
Mass (m) = 245 kg

Using the formula:
Force (F) = m * a

Substituting the given values:
F = 245 kg * 3.50 m/s²

Calculating:
F = 857.5 N

Therefore, the magnitude of the force that the motorcycle exerts backward on the ground is approximately 857.5 N.

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