Calculate the magnitude of the component of the brick’s weight that acts in a direction perpendicular to the slope.

To calculate the magnitude of the component of the brick's weight that acts in a direction perpendicular to the slope, you need to know the weight of the brick and the angle of the slope. Here are the steps:

1. Determine the weight of the brick. This can be calculated by multiplying the mass of the brick (in kilograms) by the acceleration due to gravity (approximately 9.8 m/s²). For example, if the brick has a mass of 2 kg, its weight would be 2 kg * 9.8 m/s² = 19.6 N (Newtons).

2. Determine the angle of the slope. This will be given in the problem. Let's say the angle is θ.

3. The component of the weight perpendicular to the slope is given by the formula: W_perpendicular = W * cos(θ), where W is the weight of the brick and θ is the angle of the slope.

4. Substitute the known values into the formula. For example, if the angle of the slope is 30 degrees, the perpendicular component of the weight would be: W_perpendicular = 19.6 N * cos(30) = 16.97 N.

So, the magnitude of the component of the brick's weight that acts in a direction perpendicular to the slope is 16.97 N.