Final answer:
The coefficient of friction for a block sliding down a ramp is calculated using the known mass, frictional force, angle of incline, and gravitational acceleration. The incline angle for constant velocity is found when the component of gravitational force parallel to the ramp equals the frictional force.
Step-by-step explanation:
The question involves calculating the coefficient of friction for a 2 kg block sliding down a ramp inclined at 25° with a known frictional force and determining the incline at which the block would slide at constant velocity. The coefficient of friction (μm) is found using the formula μm = f / (mg*cos(θ)), where 'f' is the frictional force, 'm' is the mass of the block, 'g' is the acceleration due to gravity, and 'θ' is the angle of incline. To calculate the angle at which the block slides at constant velocity, we need to solve for the angle 'θ' such that the component of gravitational force parallel to the incline (mg*sin(θ)) equals the frictional force.
Given: mass (m) = 2 kg, frictional force (f) = 4.86 N, angle of incline (θ) = 25°, acceleration due to gravity (g) = 10 m/s². Using these values, we can calculate the coefficient of friction using the equation mentioned above. To find the angle for constant velocity, we would set mg*sin(θ) = f and solve for 'θ'.