A 4111.0 kg truck is parked on a 14.6° slope. What is the friction force on the truck?
friction? it has to equal the weight down the plane, but opposite direction.
weight down plane: mg*SinTheta
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To find the friction force on the truck parked on a slope, we need to consider two components: the force of gravity and the normal force.
Step 1: Find the force of gravity:
The force of gravity can be calculated using the formula: force of gravity = mass × acceleration due to gravity.
Given that the mass of the truck is 4111.0 kg and the acceleration due to gravity is approximately 9.8 m/s², we can calculate the force of gravity:
Force of gravity = 4111.0 kg × 9.8 m/s² = 40276.8 N.
Step 2: Find the normal force:
The normal force is the perpendicular force exerted by a surface to support the weight of an object resting on it. On an inclined plane, this force can be decomposed into two components: the force of gravity acting parallel to the slope (mgsinθ) and the force of gravity acting perpendicular to the slope (mgcosθ), where θ is the angle of the slope.
In this case, the perpendicular component (mgcosθ) will be equal to the normal force.
Normal force = force of gravity × cos θ
Normal force = 40276.8 N × cos 14.6°
Normal force ≈ 38947.8 N.
Step 3: Find the friction force:
The friction force acts parallel to the surface and opposes the motion or tendency of motion of the object. On an inclined plane, the friction force can be calculated using the formula: friction force = coefficient of friction × normal force.
Since the coefficient of friction is not given, we cannot find the exact value of the friction force without this information. However, if the coefficient of friction is given, you can find the friction force by multiplying it by the normal force.
So, to determine the friction force, we need to know the coefficient of friction between the truck tires and the surface of the slope.