A force F=180 N pulls a crate at a 60 degree angle on a rough surface. The weight of the crate is 296 N and the friction force between the crate and the surface is 90 N. What state of motion might the crate be in?
net force: 180cos60-90
90-90which means the acceleration is zero, so it is at constant velocity. right?
To determine the state of motion of the crate, we need to consider the different forces acting on it. The given force F = 180 N is pulling the crate at a 60-degree angle. The weight of the crate is 296 N, and the friction force between the crate and the surface is 90 N.
Let's break down the forces acting on the crate:
1. The applied force F: This force is pulling the crate in one direction.
2. The weight of the crate: This force is directed downwards due to gravity. It can be calculated as the mass of the crate multiplied by the acceleration due to gravity (9.8 m/s²).
3. The friction force: This force acts in the opposite direction to the motion of the crate and can be calculated using the formula friction force = coefficient of friction * normal force. Since the value of the coefficient of friction is not given, we cannot calculate this force exactly. Instead, we know that the friction force is equal to 90 N.
Now, let's analyze the forces:
If the applied force F is greater than the friction force and the force of gravity combined, then the crate will accelerate in the direction of the applied force and be in a state of motion called "acceleration." This means the crate will move in the direction of the force with an increasing velocity.
If the applied force F is equal to the friction force and the force of gravity combined, then the crate will be in a state of motion called "constant velocity" or "uniform motion." This means the crate will move at a constant speed in the direction of the applied force.
If the applied force F is less than the friction force and the force of gravity combined, then the crate will be in a state of motion called "rest" or "static equilibrium." This means the crate will not move and will remain stationary.
To determine which of these states of motion the crate is in, we need to compare the magnitudes of the forces. Since the value of the coefficient of friction is not given, we cannot compare the magnitudes of the friction force and the applied force accurately. However, we can say that since the weight of the crate is 296 N, and the friction force is 90 N, the combined force of gravity and friction is greater than the applied force.
Therefore, the crate might be in a state of "rest" or "static equilibrium," meaning it is not moving and remains stationary on the rough surface.