A clarinetist, setting out for a performance, grabs his 3.130 kg3.130 kg clarinet case (including the clarinet) from the top of the piano and carries it through the air with an upward force of 29.17 N.29.17 N. Find the case's vertical acceleration. Indicate an upward acceleration as positive and a downward one as negative. Use for g=9.810 m/s2g=9.810 m/s2 for the acceleration due to gravity.

-0.49 m/s²

Explanation:

Given that.

Mass of the clarinet case, m = 3.13 kg

Force acting on the case upwards, F(u) = 29.17 N

Gravitational force acting on the case, F(g)

We will use this very simple equation to understand the relationship between the 3 forces

Applied Force - Gravitational Force = Net Force, or symbolically represented by

F(u) - F(g) = F. If we go ahead to substitute, we have something like

29.17 - (3.13 * 9.81) = F

F = 29.17 - 30.71

F = -1.54 N

This means that the clarinet will accelerate downwards.

Now, Remember also, F = ma. So that

a = F/m

a = -1.54 / 3.13

a = -0.49 m/s²

This thus, is a negative acceleration

diagram is missing, but i will try to explain your doubt.

answer:

amplitude is the maximum displacement or distance moved on a point of a vibrating body or wave measured from its equilibrium position.it is equal to half the length of vibration path.

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm.   the wire diameter is d = 0.9 mm.   the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a                                          

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2)   in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation: