A clarinetist, setting out for a performance, grabs his 3.230 kg3.230 kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 30.10 N.30.10 N. Find the case's vertical acceleration. Indicate an upward acceleration as positive and a downward one as negative.

Respuesta :

Answer:

- 0.5 m/s²

Explanation:

m = mass of the clarinet case = 3.230 kg

W = weight of the clarinet case in downward direction

a = vertical acceleration of the case

Weight of the clarinet case is given as

W = mg

W = 3.230 x 9.8

W = 31.654 N

F = Upward force applied = 30.10 N

Force equation for the motion of the case is given as

F - W = ma

30.10 - 31.654 = 3.230 a

a = - 0.5 m/s²

The vertical acceleration of the case will be - 0.5 m/s². Where negative shows that the acceleration is upward in nature.

What is acceleration?

The rate of the velocity change with respect to time is known as acceleration. When there is a change in the velocity of the body occurring with respect to the time the body got acceleration.

According to the condition here, the weight of the body is acting downwards while the applied force is acting upward with the acceleration.

The following relation is obtained according to the condition.

F - W = ma

m = mass of the clarinet case = 3.230 kg

W = weight of the clarinet case acting in a downward direction

The weight of the clarinet case, W = mg

a = vertical acceleration of the case

F - W = ma

30.10 - 31.654 = 3.230 a

a = - 0.5 m/s²

The vertical acceleration of the case will be  - 0.5 m/s².

To learn more about acceleration refer to the link.

https://brainly.com/question/2437624