Final answer:
To find the new speed of the mass after sliding up the incline and the coefficient of kinetic friction between the mass and the incline, you can use the work-energy principle and the equations for force of friction. The work done on the mass is equal to the change in its kinetic energy. The force of friction can be determined by equating it to the force applied by the mass.
Step-by-step explanation:
The new speed of the mass after sliding a distance of 1.0 m up the incline can be determined using the work-energy principle. The work done on the mass is equal to the change in its kinetic energy. The work done against friction can be calculated using the equation: work = Force * distance. The force of friction can be found using the equation: force of friction = coefficient of kinetic friction * normal force. The normal force can be calculated by multiplying the mass of the object by the acceleration due to gravity and the cosine of the angle of the incline. Substituting these values into the equations will allow you to solve for the new speed of the mass.
The coefficient of kinetic friction between the mass and the incline can be determined by equating the force of friction to the force applied by the mass. The force applied by the mass can be calculated using the equation: force = mass * acceleration. Rearranging the equation for force of friction and substituting the known values will allow you to solve for the coefficient of kinetic friction.