Final answer:
To calculate the normal force and force of friction for the shipping container, the weight (6000 N), angle of incline (30°), and the tension in the cable (160 N) are used in conjunction with the gravitational acceleration and the coefficient of kinetic friction.
Step-by-step explanation:
The question is asking to determine the value of the normal force and the force of friction acting on a shipping container sliding down an incline. To solve this, we must consider the various forces at play, including gravity, tension from the cable, frictional forces, and the normal force. Using the information that the shipping container has a force due to gravity (weight) of 6000 N and slides down a 30° incline, we can calculate the normal force.
The normal force (N) can be found using the equation:
N = mg × cos(θ) - T × sin(θ)
where m is mass, g is the acceleration due to gravity (9.8 m/s2), θ is the angle of the incline, and T is the tension in the cable. However, we need the weight (W = mg) instead of mass, thus:
N = W × cos(θ) - T × sin(θ)
The frictional force (f) acting on the container is given by the equation:
f = μ × N
where μ is the coefficient of kinetic friction.
Calculating these values will yield the normal force and force of friction for the shipping container sliding down the incline.