Someone places a box weighing 299.7 N on an inclined plane that makes a 43.5◦ angle with the horizontal.

Compute the component of the gravita-
tional force acting down the inclined plane.

Answer in units of N.

To compute the component of the gravitational force acting down the inclined plane, we need to find the weight of the box along the incline. The weight is the gravitational force acting on an object and is given by the formula:

Weight = mass * gravitational acceleration

First, we need to convert the weight of the box from Newtons to kilograms. Since weight is given in Newtons, we can use the following conversion:

1 N = 1 kg * m/s^2

Thus, the weight of the box in kilograms (mass) can be calculated as:

Mass = Weight / gravitational acceleration

Next, we need to find the gravitational acceleration. The standard value for gravitational acceleration on Earth is approximately 9.8 m/s^2.

We can use the formula for the component of the weight along the inclined plane, which is given by:

Component of weight along the plane = Weight * sin(angle)

Where:
- Weight is the weight of the box in kg
- angle is the angle of the inclined plane with the horizontal.

Substituting the values given in the question into the equation:

Component of weight along the plane = Weight * sin(angle)
= (Mass * gravitational acceleration) * sin(angle)
= (Mass * 9.8 m/s^2) * sin(43.5°)

Now, we can calculate the numerical value for the component of the gravitational force acting down the inclined plane.

Please note that the question did not provide the weight of the box in Newtons. To calculate the component, we need to know the weight of the box in Newtons.