(This was actually an assignment)
Problem: A 400-kg bear grasping a vertical tree slides down at constant velocity. What is the friction force that acts on the bear? (Calculate it)
The first step is: understand the description of the problem/question.
2nd step: visualize it... Draw the situation... Show all the forces which are acting on the body considered ( the bear in this case )
3rd step: Since the forces are vectors, make a sign convention... In the diagram below, if the force is directed up it should have a negative (-) coefficient once involved in an equation, if downward, positive (+). (as indicated by the violet arrow).
4th step: Use the Newton's Second Law of Motion. Start the mathematical solution from the equation a = Fnet/m. (as shown)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEhLwZI8uAW_Ewe0ROO2lykx87yy-vJmSnLcDTRg0KPEwJaPOjiirM2bmtivNFrRR6oGzsQL9GmpQ_AE8P6uwmrt9P5vmscM9w37Ag0IcnDo1e_T64AborN65b_qF0RaCLuFb-LXeZYnP98/s400/bear+solution+to+friction.bmp)
Fnet = W - f , because f is directed up.
Why a = 0 ? Because, as stated the bear is sliding with constant velocity (which means as it slide its velocity does not vary). So the acceleration is zero.
Question #2: Is m really cancelled? (on Gravitational force on an object)
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEiCa1Mp8cdfLBqj_M7frO3AiXJTOWNx8Vrq9qd6nYJAKOKabSmgL-AK3H8oDh4pNPh4nmWQDWCX1kRjWnXIPeF_1J_U4zAOZGavlRDpbgIsTB4B8raRmcFkCnyTv_GYM15oYGZV7eQ3TsY/s400/is+m+really+cancelled.bmp)
Answer: Yes. By a law of mathematics, it is cancelled. The specific, step-by-step derivation goes like this!
![](https://blogger.googleusercontent.com/img/b/R29vZ2xl/AVvXsEjZ8_B-iRKfLO_xHufpE-rHAroo_NZ3j_dq5_77wu4tc_SFvrwWcaC1lZrfQ2Fjn0lSMzoiyCUN1pXaxiRzFVmz1ddehgduBHo6VGuyZFBgW2FhRc90I9JFO-8tn68YXicwuQdqJee0PSU/s400/is+m+really+cancld+soln.bmp)