Question

A clarinetist, setting out for a performance, grabs his 3.070 kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 25.60 N. Find the case's vertical acceleration. Indicate an upward acceleration as positive and a downward one as negative. Use for =9.810 m/s2 for the acceleration due to gravity.

Answer 1

the vertical acceleration of the case is 1.46 m/s

Step-by-step explanation:

Given;

mass of the clarinet case, m = 3.07 kg

upward force applied by the man, F = 25.60 N

Apply Newton's second law of motion;

the upward force on the clarinet case = its weight acting downwards + downward force due to its downward accelaration

F = mg + m(-a)

the acceleration is negative due to downward motion from the top of the piano.

F = mg - ma

ma = mg - F

`a = (mg - F)/(m) \\\\a = ((3.07 * 9.8) \ - \ 25.6)/(3.07) \\\\a = 1.46 \ m/s^2`

Therefore, the vertical acceleration of the case is 1.46 m/s²