Friction physics problem?

Question

At the beginning of a new school term, a
student moves a box of books by attaching a
rope to the box and pulling with a force of
F = 82.4 N at an angle of 63degrees.
The acceleration of gravity is 9.8 m/s/s.
The box of books has a mass of 14 kg and
the coefficient of kinetic friction between the
bottom of the box and the floor is 0.23.

What is the acceleration of the box? An-
swer in units of m/s/s.

Answer 1

The normal force of the block is
N=14*9.8-82.4*sin(63)
the force of friction is
f=N*0.23

Therefore, the acceleration of the box is
14*a=82.4*cos(63)-f

solve for a

a=1.62 m/s^2

j

Answer 2

Total force equals 82.4 N cos 63 degrees -( 82.4N sin 63 degrees -0.23 *9.8 m/s2 times14 kg)

once you have the total force. divided it by the mass 14 kg... and you have your acceleration.

Answer 3

i don't understand the position you're on your physics coaching, yet there's a theorem said as the "paintings-skill Theorem" that really could are available accessible the following. not declaring that the kinematics thoughts are incorrect, it truly is only a special attitude. The paintings-skill theorem is as follows: paintings = replace in kinetic skill If we hit upon the initial and extremely last kinetic energies of the practice making use of a million/2(mv^2), we are able to be certain out how a lot paintings the frictional stress has to do on the practice to slow it down. Our replace in kinetic skill is Kf - Ki, or very last kinetic skill minus the initial kinetic skill. of route, we favor our very last kinetic skill to be 0 because the practice is stopped. this gives you with you with a unfavourable volume because the outcome. This result's how a lot paintings the frictional stress has to do on the practice with the intention to offer up it. the subsequent step is to discover the frictional stress. The frictional stress is given by using F = uN the position u is the coefficient of friction and N is the conventional stress. consequently, N = mg, the position m is the mass of the practice and g is the acceleration by using gravity. stress will be unfavourable consequently, assuming the route of action of the practice is efficient, which friction acts adverse to. Now that all of us understand the quantity of (unfavourable) paintings to be finished and the (unfavourable) stress by using friction, we are able to discover the gap taken to finish this quantity of work by using making use of the equation for paintings, it quite is: W = Fd, the position d is the gap. enhancing this equation, we hit upon that d = W/F. considering all of us understand both W and F, purely plug those parts into the equation, cancel the gadgets, and also you may finally end up such as your distance in meters that it takes for the practice to thoroughly supply up. desire this helps!