A mass of 6 kg with initial velocity 16 m/s travels through a wind tunnel that exerts a constant force 8 N for a distance 1.6 m. It climbs a frictional incline of height 2.9 m inclined at an angle 16°, then moves along a second frictional surface of coefficient 0.1 before coming to rest. The acceleration of gravity is 9.8 m/s^2. If the first frictional surface has a coefficient of 0.21 for a distance 1 m, how far does it slide along the second frictional region before coming to rest?

Explanation:

From the question we are told that

Mass  

Velocity of mass  

Force of Tunnel  

Length of Tunnel

Height of frictional incline

Angle of inclination  

Acceleration due to gravity  

First Frictional surface has a coefficient  

Second Frictional surface has a coefficient

Generally the initial Kinetic energy is mathematically given by

Generally the work done by the Tunnel is mathematically given as

Therefore

Generally the energy lost while climbing is mathematically given as

Generally the energy lost to friction is mathematically given as

Generally the energy left in the form of mass is mathematically given as

Since

Therefore

It slide along the second frictional region

find the sum of the two horizontal vectors and the sum of the two vertical vectors

isoceles right angled triangle