A 4111.0 kg truck is parked on a 14.6° slope. What is the friction force on the truck?
If it is parked, friction is equal to the component of the trucks weight down the hill. mass*g*SinTheta
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To find the friction force on the truck, we need to first understand the concept of friction. Friction is the force that opposes the motion of an object when it is in contact with another surface. This force acts parallel to the surface and can be calculated using the formula:
Friction force = coefficient of friction * Normal force
The normal force is the force exerted by a surface to support the weight of an object resting on it. On a slope, the normal force can be calculated using the formula:
Normal force = Weight * cos(angle)
Where:
- Weight is the force exerted by the object due to gravity, given by the formula weight = mass * gravity.
- Angle is the angle of the slope.
In this case, we are given the mass of the truck as 4111.0 kg and the angle of the slope as 14.6°. We can assume the acceleration due to gravity is 9.8 m/s^2.
Step 1: Calculate the weight of the truck:
Weight = mass * gravity
Weight = 4111.0 kg * 9.8 m/s^2
Step 2: Calculate the normal force:
Normal force = Weight * cos(angle)
Normal force = (4111.0 kg * 9.8 m/s^2) * cos(14.6°)
Step 3: Calculate the friction force:
Friction force = coefficient of friction * Normal force
Please note that we don't have enough information about the coefficient of friction between the truck and the slope. Without this value, it is not possible to calculate the friction force accurately. The coefficient of friction depends on the nature of the surfaces in contact and other factors like temperature and lubrication.
To find the friction force accurately, we would need the coefficient of friction or additional information.