Final answer:
To find the tension in the string connecting two masses on an incline, set up equations using Newton's second law for each mass, accounting for gravitational force, friction, and tension. The frictional force can be calculated using the coefficient of kinetic friction and the normal force adjusted for the incline. Due to insufficient data (such as incline angles), we cannot calculate a specific numerical value.
Step-by-step explanation:
To determine the tension in the string connecting two masses on an incline, we need to assess the forces acting on each mass. Both masses experience gravitational force along the slope, a frictional force due to kinetic friction, and the tension from the string. We can use Newton's second law of motion to set up equations for both masses. For mass Ma, the equation is T - fa - mag sin(θ) = maa, where T is the tension, fa is the friction force on Ma, mag sin(θ) is the component of gravitational force along the slope, and a is the acceleration of the system. For mass Mb, the equation is mbg sin(θ) - T - fb = mba, where fb is the friction force on Mb.
The frictional force is given by f = μN, where μ is the coefficient of kinetic friction, and N is the normal force. The normal force for each mass can be calculated using N=mxg cos(θ), where mx is the mass and cos(θ) adjusts for the incline angle. In this case, as the specific incline angles are not provided, we can assume the angles are such that the cosine component will not affect the equality of tension forces for both masses.
Therefore, to find the tension, we combine the two equations and solve for T. This involves combining gravitational forces, accounting for the kinetic friction, and solving for the acceleration.
Since there are no specific angle values and the question offers multiple choice answers rather than requiring an algebraic solution, you can select the most probable answer based on the gravitational force difference between the two masses, frictional forces, and the common coefficient of friction 0.3. However, due to the incomplete information provided, we cannot rigorously compute the numerical value for tension.