A clarinetist, setting out for a performance, grabs his 3.010 kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 28.05 N. Find the case's vertical acceleration. Indicate an upward acceleration as positive and a downward one as negative. Answer needs to be in m/s2.

-0.481 m/s^2

Explanation:

The force equation of this problem is given as:

F - W = ma

where F = upward force holding the clarinet bag

W = downward force (weight of the clarinet)

The mass of the clarinet bag is 3.010 kg, therefore, its weight is:

W = mg

W = 3.010 * 9.8 = 29.498

F = 28.05 N

Therefore:

28.05 - 29.498 = 3.010 * a

-1.448 = 3.010a

=> a = - 1.448 / 3.010

a = - 0.481 m/s^2

The acceleration of the bag is downward.