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3 years ago

How many nodes, not including the endpoints, are there in a standing wave that is two wavelengths long?.

Physics

1 answer:

Marizza181 [45]3 years ago

7 0

Not including the endpoints, there are 3 nodes.

In a wave, a node is a stationary point. For example in a vibrating string of a guitar, the endpoints would be nodes.

But here we need to ignore the endpoints, we only know that the wave has two wavelengths.

For a wave with N wavelengths the number of nodes that are not endpoints is just given by 2*N - 1 (while if we counted the endpoints we would have 2*N + 1).

So in this case we have N = 2, then there are 2*2 - 1 = 3 nodes.

If you want to learn more about waves, you can read:

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suppose a car manufacturer tested its cars for front end collsion by hauling them up on a crane and dropping them from a certain

IRINA_888 [86]

Initial height: 66.5 m

Explanation:

The problem can be solved by using the principle of conservation of energy.

If we neglect air resistance, the total mechanical energy of the car is conserved during the fall, therefore we can write:

$K_i + U_i = K_f + U_f$

where :

$K_i = 0$ is the kinetic energy of the car at the top (it starts from rest)

$U_i = mgh$ is the gravitational potential energy of the car at the top, with:

m = the mass of the car

g = the acceleration of gravity

h = the heigth of the car

$K_f = \frac{1}{2}mv^2$ is the kinetic energy of the car just before hitting the ground, with

v = 130 km/h final speed of the car

$U_f = 0$ is the gravitational potential energy of the car at the bottom

Re-arranging the equation, we find

$mgh=\frac{1}{2}mv^2$

and we have:

$g=9.8 m/s^2\\v = 130 km/h = 36.1 m/s$

Solving for h, we find the initial height of the car:

$h=\frac{v^2}{2g}=\frac{36.1^2}{2(9.8)}=66.5 m$

Learn more about kinetic energy and potential energy:

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5 0

4 years ago

What mechanism of energy is transferred by mass motion of fluid from one region of space to another?

lora16 [44]

Convection, because it is the process of heat transfer from one location to the next by the movement of fluids. The moving fluid carries energy within it.

5 0

3 years ago

What law states force is dependent on the mass and acceleration of an object

UNO [17]

Answer:

Newton's second law of motion

Explanation:

Newton's second law of motion can be stated

The acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force, in the same direction as the net force, and inversely proportional to the mass of the object.

in another form,

Force = mass * acceleration

5 0

4 years ago

in a circuit, a 10 resistor is connected in series to a parallel group containing a 60 resistor and a 5 resistor. what is the to

natka813 [3]

The 60 and the 5 in parallel have an equivalent resistance of 4.615 ohms. (rounded). The 10 in series makes it 14.615...

5 0

3 years ago

Read 2 more answers

A woman pushes an oak chest across an oak floor at a constant speed of 0.450 m/s. The chest has a mass of 40.0 kg, and the coeff

natima [27]

Answer:

A. 243 N

Explanation:

Friction is the force that opposes the relative motion between systems that are in contact.

This friction force that opposes the motion of the oak chest across the oak surface will be equal and opposite to that exerted by the woman.

First find the normal force which is the force that would point directly upwards to support weight of the block.

Normal force, N= mg where m is the mass of the chest and g is the acceleration due to gravity.

Given m=40 kg and g=9.80 m/s²

N force=40×9.80 =392N

Then find the force of friction which is given by the formula;

<em>F=μN where μ is friction coefficient for the oak chest and N is the normal force on the chest</em>

Given <em>μ</em>=0.620 and N force = 392 N then it will be;

F=0.620× 392 =243.04 N

Answer : 243 N

6 0

3 years ago