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Answer :
To find the pushing force for the motorbike, we can use the formula relating power, force, and velocity. Power [tex]P[/tex] is given by the equation:
[tex]P = F \times v[/tex]
Where:
[tex]P[/tex] = Power (in watts)
[tex]F[/tex] = Force (in newtons)
[tex]v[/tex] = Velocity (in meters per second)
We're given that the power [tex]P = 90000 \text{ W}[/tex] and the velocity [tex]v = 30 \text{ m/s}[/tex]. We need to solve for the force [tex]F[/tex]:
[tex]F = \frac{P}{v} = \frac{90000}{30} = 3000 \text{ N}[/tex]
Thus, the pushing force is [tex]3000 \text{ N}[/tex]. Therefore, the correct answer is (A) 3000 N.
For the car, we need to find how much power is developed by the engine using the same formula:
[tex]P = F \times v[/tex]
Where:
[tex]F = 4000 \text{ N}[/tex] (force)
[tex]v = 15 \text{ m/s}[/tex] (velocity)
So, the power [tex]P[/tex] is:
[tex]P = 4000 \times 15 = 60000 \text{ W}[/tex]
Therefore, the power developed by the engine is [tex]60000 \text{ W}[/tex]. The correct choice is (A) 60000 W.
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