A 170-N box is placed on an inclined plane that makes a 35.0° angle with the horizontal. Find the component of the weight force parallel to the plane's surface.

170 sin 35

97 To find the component of the weight force parallel to the plane's surface, we need to determine the weight force acting on the box. The weight force can be calculated using the formula:

Weight force = mass × acceleration due to gravity

Given that the weight force is equal to 170 N, we can rearrange the formula to solve for the mass:

mass = weight force / acceleration due to gravity

The acceleration due to gravity is a constant value of approximately 9.8 m/s^2.

Hence, we can substitute the given values into the equation:

mass = 170 N / 9.8 m/s^2

Calculating this, we find:

mass ≈ 17.35 kg

Now, we can find the component of the weight force parallel to the plane's surface. This can be done using the formula:

Component of weight force parallel to the plane's surface = Weight force × sin(angle)

The given angle is 35.0°.

Plugging in the values, we get:

Component of weight force parallel to the plane's surface = 170 N × sin(35.0°)

Evaluating this expression, we find:

Component of weight force parallel to the plane's surface ≈ 97.77 N

Therefore, the component of the weight force parallel to the plane's surface is approximately 97.77 N.