A 4165.0kg truck is parked on a 15.8deg slope. What is the friction force on the truck?

it has to be equal to the weight down the slope, or mg*sinTheta.

one of the links have the answer

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To determine the friction force on the truck, we need to consider the gravitational force acting on the truck. Here is how you can calculate the friction force step by step:

1. Calculate the component of the weight acting parallel to the slope:
- The weight of the truck can be calculated using the formula: weight = mass × gravitational acceleration (W = m × g).
- Given that the mass of the truck (m) is 4165.0 kg and the gravitational acceleration (g) is approximately 9.8 m/s^2.
- Calculate the weight of the truck: W = 4165.0 kg × 9.8 m/s^2.

2. Determine the force component acting parallel to the slope:
- The component of the weight acting parallel to the slope can be calculated using the formula: F_parallel = weight × sin(angle) (F_parallel = W × sinθ).
- The angle in degrees is given as 15.8°. However, we need to convert it to radians before calculating the sine of the angle: θ (radians) = θ (degrees) × (π / 180°).
- Calculate the force component acting parallel to the slope: F_parallel = W × sin(15.8°).

3. Calculate the friction force:
- Since the truck is parked on the slope, the friction force will oppose the motion down the slope, thus acting in the opposite direction of the force component calculated in step 2.
- The friction force can be calculated using the static friction coefficient (μ) multiplied by the force component acting parallel to the slope: friction force = μ × F_parallel.

Now, you can plug in the calculated values in the respective formulas to find the friction force acting on the truck.