You push an 20-kg crate up an inclin with an angle of 35 degrees to the horizontal with a force of 260-N. If the crate is moving at a constant velocity:
1. what is the component of the crate's weight parallel to the surface?
2. WHat is the sum of the forces parallel to the surface?
3. What is the force due to friction?
4. WHat is the coefficient of frictiion?
see other post, at constant velocity,a=0
To find the answers to the given questions, we need to break down the problem and apply some physics concepts. Let's go step by step:
1. To determine the component of the crate's weight parallel to the surface, we first need to calculate the weight of the crate. Weight (W) is given by the formula: W = mass (m) × acceleration due to gravity (g).
Given: mass (m) = 20 kg
Acceleration due to gravity (g) ≈ 9.8 m/s² (typically rounded to 10 m/s² for simplicity)
Calculating the weight of the crate:
W = 20 kg × 10 m/s² = 200 N
The component of the crate's weight parallel to the surface is equal to the weight multiplied by the cosine of the angle between the incline and the horizontal. In this case, the angle is 35 degrees.
Component of weight parallel to the surface = Weight × cos(angle)
Component of weight parallel to the surface = 200 N × cos(35°)
Therefore, the component of the crate's weight parallel to the surface is 166.76 N (rounded to two decimal places).
2. The sum of the forces parallel to the surface determines whether the crate is moving at a constant velocity. Since the crate is moving at a constant velocity, the net force acting on it is zero.
Sum of forces parallel to the surface = Input force - Force of friction
Since the crate is moving at a constant velocity, the force of friction is equal in magnitude to the force applied. Therefore, the sum of the forces parallel to the surface is also equal to the applied force.
Sum of the forces parallel to the surface = 260 N
3. The force due to friction is equal in magnitude to the force applied (as explained above). Therefore, the force due to friction is 260 N.
4. To find the coefficient of friction, we need to know the force of friction and the normal force. Unfortunately, we don't have the value of the normal force in this problem. Without the normal force, we cannot directly calculate the coefficient of friction. The coefficient of friction is typically determined experimentally for different surfaces.
Therefore, we cannot determine the coefficient of friction without additional information.
Remember, in physics, it's vital to have all the necessary values to find answers accurately.