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3 years ago

How are wavelength and frequency of a wave related?

2 answers:

8 0

Wavelength is the length from one peak of a wave to the next, while frequency is the amount of waves present in a unit of time. The greater the wavelength the smaller the frequency. The smaller the wavelength, the bigger the frequency.

tester [92]3 years ago

6 0

The product of

(wavelength) x (frequency)

is always the same number. It's the speed of the wave.

So if either number changes, the other will always change by the
same factor in the opposite direction, in order to keep their product
constant.

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A heat pump receives heat from a lake that has an average winter time temperature of 6o C and supplies heat into a house having

Natalija [7]

Answer:

Explanation:

60000 kJ / h = 60000 x 1000 / (60 x 60 )

= 16667 J /s

$\frac{Q_H}{W} =\frac{T_H}{T_H-T_C}$

where $Q_H$ and $W$ are heat supplied and heat given from outside source .

Here $Q_H$ = 16667 J/s

$\frac{T_H}{T_H-T_C}=\frac{298}{298-279}$

= 15.684

$Q_H = 16667 J/s$

16667 / W = 15.684

W= minimum power supplied = 1062.7 W.

b )

If $T_C=283K$

$\frac{T_H}{T_H-T_C}=\frac{298}{298-283}$

=19.87

$\frac{Q_H}{W} = 19.87$

$W=\frac{Q_H}{19.87}$

$W=\frac{16667}{19.87}$

= 838.8 W .

4 0

3 years ago

Matter that organisms require for their life processes are

hram777 [196]

Answer:

nutrients

Explanation:

Nutrients are matter that organisms require for their life processes.

5 0

3 years ago

Which car has the most kinetic energy?

mixas84 [53]

Answer:

B. A car of mass 2000 kg with speed 7 m/s

Explanation:

The kinetic energy of an object is given by:

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

where m is the mass of the object and v is its speed.

From the formula, we see that the larger the mass and the speed of the object, the larger its kinetic energy. Among the choices given, we see that the car with largest mass and largest speed is car B, which has a mass of 2000 kg and speed of 7 m/s. Its kinetic energy is:

$K=\frac{1}{2}(2000 kg)(7 m/s)^2=49,000 J$

We can verify that the other cars have smaller kinetic energy. In fact:

- Car A: $K=\frac{1}{2}(1000 kg)(3 m/s)^2=4,500 J$

- Car C: $K=\frac{1}{2}(1000 kg)(7 m/s)^2=24,500 J$

- Car D: $K=\frac{1}{2}(2000 kg)(3 m/s)^2=9,000 J$

So, car B is the one which has most kinetic energy.

5 0

4 years ago

nder some circumstances, a star can collapse into an extremely dense object made mostly of neutrons and called a neutron star. T

Alexeev081 [22]

Answer:

2.92 * 10³ rad/s

Explanation:

Given:

Initial Radius of Original Star (Ri) = 6.0 * 10^5 km

Final Radius of Neutron Star (Rf) = 16km

Angular Speed = 1 revolution in 35 days

We need to convert this to rad/s

To do that, we first convert to rad/day

i.e (1 rev/35 days) * (2π rad/ 1 rev)

We then convert the days to hour

i.e. (1 rev / 35 days) * (2π rad/ 1 rev) * (1 day / 24 hours)

Finally, we convert the hour to seconds (3600 seconds makes an hour)

i.e. (1 rev / 35 days) * (2π rad/ 1 rev) * (1 day / 24 hours) * (1 hour/ 3600 sec)

Angular Speed = 2π rad/ 3024000 secs

Angular Speed (wi) = 2.079 * 10^-6rad/s

From the question, we're asked to calculate the angular speed of the neutron star (wf)

Applying law of conservation of angular momentum to a system whose moment of Inertia changes, we have

Ii*wi = If * wf ----------------- Formula

Where Ii and If are the initial and final Inertia of the star

The relationship between Inertia and Radius of each object is I = 2/5MR²

So, Ii = 2/5(MRi²) and If = 2/5(MRf²)

Substitute the above in the formula quoted

We have 2/5(MRi²)wi = 2/5(MRf²)wf ---------------- Divide through by 2M/5

We are left with, Ri²wi = Rf²wf

Make wf the subject of the formula

wf = wi * (Ri/Rf)²

wf = 2.079 * 10^-6rad/s * (6.0 * 10^5 km/16km)²

wf = 2.079 * 10^-6rad/s * (6.0 * 10^5 km/16km) * (6.0 * 10^5 km/16km)

wf = 2.92 * 10³ rad/s

5 0

3 years ago

26. A 40 kg boy jumps from a height of 4m onto a plate-form mounted on springs. As the

denpristay [2]

Answer:

c. 1600J

Explanation:

The loss in potential energy of the boy is given by:

$U=mg \Delta h$

where

m = 40 kg is the mass of the boy

g = 9.8 m/s^2 is the acceleration of gravity

$\Delta h = 4 m + 0.02 m = 4.02 m$ is the total change in the height of the boy (4 metres + 2 cm due to the compression of the spring)

Substituting, we find

$\Delta U = (40 kg)(9.8 m/s^2)(4.02 m) = 1577 J \sim 1600 J$

4 0

3 years ago