Question

A 3.2kg mass starts from rest at the top of the 30°inclined that is 6m long its speed as it reaches the bottom is 3m/s use the energy method to find the average friction force that regards the sliding motion ​?

Answer 1

To find the average friction force, use the energy method by calculating the potential and kinetic energy and then solving for the work done by the net force.

Step-by-step explanation:

To find the average friction force, we need to use the energy method. The energy method states that the change in the object’s potential energy is equal to the work done on the object. In this case, the change in potential energy is equal to the work done by the net force.

Using the energy method, we can calculate the average friction force as follows:

First, calculate the gravitational potential energy at the top of the incline using the equation PE = mgh, where m is the mass (3.2 kg), g is the acceleration due to gravity (9.8 m/s²), and h is the height (6 sin(30°) = 3 m).

Next, calculate the kinetic energy at the bottom of the incline using the equation KE = 0.5mv², where v is the speed (3 m/s).

Finally, calculate the work done by the net force using the equation ΔPE + ΔKE = Fd, where F is the average friction force and d is the distance traveled along the incline (6 m).

Plugging in the values and solving the equation, we can find the average friction force.