A 4422.0 kg truck is parked on a 10.8° slope. What is the friction force on the truck?
the weight normal to the slope is mgcosTheta.
friction then is mu*mgCosTheta
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To calculate the friction force on the truck, we need to consider the weight of the truck, the angle of the slope, and the coefficient of friction.
1. Find the gravitational force acting on the truck:
The weight of the truck can be calculated using the formula:
Weight = mass * acceleration due to gravity
Weight = 4422.0 kg * 9.8 m/s^2
2. Determine the component of the weight parallel to the slope:
The weight can be broken down into two components:
Parallel component = Weight * sin(angle)
where the angle is 10.8° in this case.
3. Calculate the friction force:
The friction force can be calculated using the formula:
Friction force = coefficient of friction * parallel component
Please note that the coefficient of friction depends on the nature of the surface between the truck and the slope. Without that value, we cannot provide the exact friction force.
Once you have the coefficient of friction, substitute it into the formula to calculate the friction force.