Final answer:
The x-component of the force of gravity can be found by multiplying the weight of the block by the sine of the ramp angle. The acceleration of the block can be found using Newton's second law, by calculating the net force and dividing it by the mass of the block.
Step-by-step explanation:
The force diagram for the block on the ramp would include the weight of the block, which is the force of gravity acting on it, and the normal force exerted by the ramp. The weight of the block can be separated into its x- and y-components. The x-component of the force of gravity would be equal to the weight of the block multiplied by the sine of the angle of the ramp.
To find the acceleration of the block, we can use Newton's second law, which states that the net force acting on an object is equal to its mass multiplied by its acceleration. In this case, the net force acting on the block is the force of gravity component in the x-direction, minus the frictional force. The frictional force can be calculated by multiplying the coefficient of friction between the block and the ramp by the normal force exerted by the ramp. Once we have the net force, we can divide it by the mass of the block to find the acceleration.