Draw a free body diagram to show the relationship of forces on a 200 kg boulder resting on a 15degree incline. Include the magnitude of the force applied by an aadvark as it holds the boulder in place.
To draw a free body diagram, we need to identify and represent all the external forces acting on the object. In this case, we have a 200 kg boulder resting on a 15-degree incline, and an aardvark applying a force to hold the boulder in place.
Here is how we can draw the free body diagram:
1. Start by representing the boulder as a rectangle or square (you can use any shape, but those are common choices).
2. Draw a downward arrow to represent the force of gravity acting on the boulder. The magnitude of the gravitational force can be calculated using the equation: Fgravity = mg, where m is the mass of the object (200 kg) and g is the acceleration due to gravity (approximately 9.8 m/s^2).
3. Draw a vertical arrow perpendicular to the incline, representing the normal force exerted by the incline on the boulder. The normal force is the support force exerted by the incline to counteract the force of gravity acting perpendicular to the incline.
4. Draw a horizontal arrow pointing uphill, parallel to the incline. This represents the component of the gravitational force that acts down the slope. To calculate this force, we need to find the force applied parallel to the incline. The formula is Fparallel = mgsin(theta), where theta is the angle of the incline (15 degrees in this case).
5. Finally, draw an arrow in the opposite direction of the force applied by the aardvark, representing the magnitude of the force applied by the aardvark to hold the boulder in place. The value of this force is unknown and should be provided if you have it.
Make sure to label the forces accordingly (e.g., mg, Fn, Fparallel, Fapplied).
Remember that to accurately determine the forces, it is important to consider the angle of the incline and calculate the necessary forces using the appropriate equations.