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SCORPION-xisa [38]
4 years ago
15

How many normal modes of oscillation or natural frequencies does each if the following have: (

Physics
1 answer:
Vadim26 [7]4 years ago
6 0
<span>Each of these systems has exactly one degree of freedom and hence only one natural frequency obtained by solving the differential equation describing the respective motions. For the case of the simple pendulum of length L the governing differential equation is d^2x/dt^2 = - gx/L with the natural frequency f = 1/(2π) √(g/L). For the mass-spring system the governing differential equation is m d^2x/dt^2 = - kx (k is the spring constant) with the natural frequency ω = √(k/m). Note that the normal modes are also called resonant modes; the Wikipedia article below solves the problem for a system of two masses and two springs to obtain two normal modes of oscillation.</span>
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A gas has a volume of 8.21 mL and exerts a pressure of 2.9 atm. What new volume will the gas have if the pressure is changed to
labwork [276]

Answer:

5.95 ml

Explanation:

Given info

P1=2.9 atm

V1=8.21 ml

P2=4 atm

From Boyle's law we know that p1v1=p2v2 where p and v are pressure and volume respectively. This is at a constant temperature. Making v2 the subject of formula then

V2=p1v1/p2

V2= 2.9*8.21/4=5.95 ml

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3 years ago
PLEASE HELP GIVING BRAINLIEST!!
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3 years ago
What is the average speed of a car that travels 60 meters in 2<br> seconds?
blondinia [14]

Answer:

30 m/s

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6 0
3 years ago
Which of the following rocks most likely resulted from compacting and cementing particles together?
kotegsom [21]
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A magnetic field has a magnitude of 1.2 \times 10^{-3} T, and an electric field has a magnitude of 4.6 \times 10^{3}N/C. Both fi
lana66690 [7]

Answer: F = 113.4.10^{-3}N

Explanation: Net Force is the total forces acting in an object. In this case, there are two forces acting on the charge: one due to magnetic field (Fm) and another due to electric field (Fe). So, net force is

F = Fe + Fm

Force due to electric field

To determine this force:

Fe = q.E, where q is the charge and E is electric field.

Calculating:

Fe = q.E

Fe = 1.8.10^{-6}.4.6.10^{3}

Fe = 8.28.10^{-3}N

Force due to magnetic field: It can only happens when the charge is in movement, so

Fm = q.(v×B), where v represents velocity and B is magnetic field

The cross product indicates that force is perpendicular to the velocity and the field.

Calculating:

Fm = q.v.B.senθ

As θ=90°,

Fm = q.v.B

Fm =  1.8.10^{-6}.3.1.10^{6}.1.2.10^{-3}

Fm = 6.696.10^{-3}N

F, Fm and Fe make a triangle. So, using Pythagorean theorem:

F = \sqrt{Fe^{2} + Fm^{2} }

F = \sqrt{(8.28.10^{-3} )^{2} +(6.696.10^{-3} )^{2} }

F = 113.4.10^{-3}N

The net force acting on the charge is F = 113.4.10^{-3}N

4 0
3 years ago
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