A 2000 pound car is parked on a street that make an angle of 12 degrees with the horizontal figure
Find the force perpendicular to the street.
To find the force perpendicular to the street, we need to resolve the weight of the car into its components.
First, let's draw a diagram to visualize the situation. The weight of the car (2000 pounds) acts vertically downwards.
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Street
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Now, let's resolve the weight of the car into two components: one parallel to the street and one perpendicular to the street.
The force parallel to the street won't affect the car's position since it's balanced by the friction between the tires and the road. So, we are interested in finding the force perpendicular to the street.
To resolve the weight into components, we use trigonometry. We know that the angle between the street and the horizontal is 12 degrees.
The component of the weight perpendicular to the street can be found using the formula:
Force = weight * sin(angle)
In this case:
Weight = 2000 lb
Angle = 12 degrees
Calculating the force perpendicular to the street:
Force = 2000 lb * sin(12 degrees)
Now, let's calculate the force using this information.
Force = 2000 lb * sin(12 degrees)
Using a scientific calculator, we find that:
Force = 413.09 lb
Therefore, the force perpendicular to the street is approximately 413.09 pounds.