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A 330 kg piano slides 3.6 m down a 28o incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.4. Calculate:
A 330 kg piano slides 3.6 m down a 28o incline and is kept from accelerating by a man who is pushing back on it parallel to the incline. The effective coefficient of kinetic friction is 0.4. Calculate: a. the force exerted by the man
b. the work is done by the man on the piano
c. the work is done by the friction force
d. the work is done by the force of gravity
e. the net work done on the piano.
Final answer:The question requires calculating various types of forces and work done in the scenario where a piano is sliding down an incline. The solutions include finding forces exerted by the man and gravity, along with work done by the man, friction and gravity, and overall net work done.Explanation:This question is about calculating different types of work done and forces in a scenario involving apiano sliding down an incline. First, you need to calculate the force of gravity acting on the piano: Fg = mg = 330kg * 9.8m/s^2. Then find the component of this force acting along the incline: Fgi = Fg * sin(28°).a) Force exerted by the man:It's equal to the force required to overcome friction and the force of gravity along the incline. So, Fm = μN + Fgi. Considering N is approximately mg on a very small incline, the force by man would be Fm = μmg + Fgi.b) Work done by the man:The work done is calculated by the formula: Work = Force * displacement * cos(angle). The angle between the force by the man and the displacement is 0, therefore the work done by the man would be Work(m) = Fm * displacement.c) Work done by friction:The angle between friction force and displacement is 180 degrees. So, Work(f) = μmg * displacement * cos(180) = -μmg * displacement.d) Work done by the force of gravity: Since the angle between the force of gravity along the incline and displacement is 0°, Work(g) = Fgi * displacement.e) Net work done on the piano:The net work done can be obtained by adding up the work done by the man, gravity, and the friction force with their respective signs.Learn more about Physics - Forces and Work here:brainly.com/question/22015626#SPJ12...