In the figure below, m1 = 9.5 kg and m2 = 4.0 kg. The coefficient of static friction between m1 and the horizontal surface is 0.60 while the coefficient of kinetic friction is 0.30.
Without the "figure below", or a better description of the problem, I cannot help you. Sorry.
By the way, you omitted whatever the question is.
To fully answer your question, I would need the figure you mentioned. However, I can still explain how to find the solution based on the information you provided.
First, let's define the problem. We have two masses, m1 and m2, and they are in contact with a horizontal surface. The coefficient of static friction, µs, between m1 and the surface is 0.60, while the coefficient of kinetic friction, µk, is 0.30.
To address the problem, we need to consider both static and kinetic friction separately.
1. Static Friction:
Static friction occurs when the two surfaces are not moving relative to each other. In this case, we need to determine the maximum value of the static friction force, Fs(max), which is given by the equation:
Fs(max) = µs * Normal Force
The normal force is the force exerted by the surface on m1 and can be calculated using the equation:
Normal Force = m1 * g
where g is the acceleration due to gravity (approximately 9.8 m/s²).
2. Kinetic Friction:
Kinetic friction occurs when the two surfaces are sliding against each other. The kinetic friction force, Fk, can be calculated using the equation:
Fk = µk * Normal Force
In this case, since we have not specified any motion or forces applied to m1 and m2, we will assume they are at equilibrium and are not moving.
To determine if the system is in equilibrium, we compare the maximum static friction force, Fs(max), with the force pulling m1 towards the right. If the pulling force is greater than Fs(max), the system will move; otherwise, it will remain at rest.
Once you have the force exerted by m1 and m2, you can further analyze the problem, such as calculating acceleration, net force, or any other related quantities.
Remember, without the specific figure or additional information about the problem (e.g., forces applied), I can only guide you on the general steps to solve this kind of problem.