Question 460734
I presume you mean "weight" instead of "height" because I don't think it's possible to find the height. Also, the weight, not the height, has units N.


Assuming *[tex \mu] is the coefficient of kinetic friction, we can find the force of friction:


*[tex \LARGE F_f = \mu(F_n)] (F_n is the normal force).


However, we know that the frictional force must be 26 newtons; this is because "constant velocity" implies zero net force, so a 26 N pushing force must be counteracted by a 26 N frictional force. Also, if we were to label the components of the normal force, we will see that the normal force is equal to the weight times the cosine of the angle of the ramp. Hence,


*[tex \LARGE 26 N = (0.19)(mg \cos(21))]


*[tex \LARGE mg \approx 136.8 N]