Calculating Horizontal Force of Toy Car Wheels

AI Thread Summary
To calculate the horizontal force exerted by the toy car wheels, use Newton's second law, which states that force equals mass times acceleration. The coefficient of friction is 0.62, and the acceleration is 0.40056 m/s², but the mass of the car is unknown, making it difficult to determine the normal force. The motor's torque of 0.0382 Nm and wheel size of 85 mm may provide additional insights into the force applied by the motor to the wheels. Understanding the relationship between torque, wheel radius, and force can help in calculating the effective horizontal force. Ultimately, knowing the mass of the car is crucial for accurate calculations.
saracen
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How do i find out the horizontal force the wheels on a toy car exert on the ground if i know the acceleration and the coefficient of friction?

I have a coefficient of friction of 0.62
and an acceleration of 0.40056 m/s^2


Any help is helpful =) thank you.
 
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If you know the mass of the car, and if friction is the only horizontal force acting on the car, then use Newton's 2nd law.
 
I do not know the mass of the car, so i cannot get the normal force.

However, I've just read above the question and it says that the electric motor for the car directly drives _one_ of the rear wheels. I'm not sure how this could help, but what i know about the motor is that it has a torque of 0.0382 Nm, 15 rev/s, and the wheel size is 85 mm dia.
 
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Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
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