Please Read Question Below :)

Question

A girl on a bike is moving at a speed of 1.40 m/s at the start of a 2.30 m high and 12.4 m long incline. The total mass is 50.0 kg, air resistance and rolling resistance can be modeled as a constant friction force of 41.0 N, and the speed at the lower end of the incline is 7.00 m/s. Determine the work done (in J) by the girl as the bike travels down the incline.

=______J

Answer 1

Alrighty then! this is a very tricky kinematics problem but I got the solution for you!!

You need to first find that angle at which the object is traveling downhill by using given distances the the hill and the vertical (y component height).

You should get 10.69 degrees for that angle

Then find the net time it takes for the object to travel all the way down the decline

You should get 1.77 seconds

Then using the given info get the initial velocity_y, final velocity_y , and plug in the net time = 1.77 seconds to find the acceleration_y . (Note the _y just denotes that it is in the y direction (component) of the given info

Then we no no force is exerting in the x component (direction) so the total Force (F_net) = (F_object in y component)

Plug in mass= 50kg, distance= 12.4m, and acceleration_y = 0.587 (meters/(seconds^2))

Work done = Force(distance) = Mass(acceleration_y)(distance) = 363.86 Jewels = answer !!!!