Multiple Choice: A small amplitude transverse wave is travelling on a string. The frequency of the wave is suddenly doubled. Which one of the following is a true statement?a) The period of the wave doubles
b) The wavelength doubles
c) The speed of the wave doubles
d) The wavelength is cut in half
e) The speed of the wave is cut in half

Answers

Answer 1

Answer: The wavelength of the string is cut in half. The answer is D. The higher the frequency the shorter the wavelength. They are inversely proportional.

Answer 2

Answer:

Final answer:

Doubling the frequency of a transverse wave on a string would result in the wavelength of the wave being halved. This is due to the inverse relationship between frequency and wavelength in the context of wave speed remaining constant.

Explanation:

When considering a transverse wave travelling on a string, if the frequency is suddenly doubled, then the wavelength would be cut in half rather than any other given option. This is because the speed of a wave is determined by the medium through which it travels—in this case, the string—rather than its frequency or amplitude. Because the speed remains constant when the frequency doubles, the only factor left to adjust is the wavelength, according to the wave speed equation 'v = fλ', where 'v' is wave speed, 'f' is frequency, and 'λ' is wavelength. Thus, frequency and wavelength have an inverse relationship: if frequency increases (doubles, in this case), wavelength must decrease (halve) to maintain the constant wave speed.

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A marble is thrown horizontally with a speed of 15.0 m/s from the top of a building. When it strikes the ground, the marble has a velocity that makes an angle of 65.0° with the horizontal. From what height above the ground the marble was thrown. How far from the base of the building, did the marble land?

Answers

The answer is 52.79 m.

I used this formula to get the formula for Vy:
v^2=vi^2+2(a)(x)
And got
Vy=square root (19.6 h)

Then I used that and put it in this formula:

tan(65) =Vy/Vx

tan(65) = square root (19.6 h)/15.0

Then I rearranged it to:

h=[(15.0)(tan65)]/19.6

h=52.79 m

The answer for this question is 52.79

A conducting coil of 1850 turns is connected to a galvanometer, and the total resistance of the circuit is 30 Ω. The area of each turn is 4.00 × 10-4 m2. This coil is moved from a region where the magnetic field is zero into a region where it is nonzero, the normal to the coil being kept parallel to the magnetic field. The amount of charge that is induced to flow around the circuit is measured to be 8.0 × 10-3 C. Find the magnitude of the magnetic field.

Answers

Answer:

0.324 T

Explanation:

Parameters given:

Number of turns, N = 1850

Resistance, R = 30Ω

Area of each turn, A = $4.00 * 10^(-4) m^2$

Charge in the circuit, q = $8.0 * 10^(-3) C$

The induced EMF in the coil is given as:

$V = (-NBA)/(t)$

EMF is also given in terms of current, I, and resistance, R, as:

V = IR = $(-NBA)/(t)$

=> $I*R*t = -NBA$

Charge, q, is the product of current and time. Hence:

It = q

=> $q*R = -NBA$

Hence, magnetic field, B, will be:

$B = (qR)/(-NA)$

$B = (8 * 10^(-3) * 30)/(-1850 * 4 * 10^(-4)) \n\n\nB = -0.324 T$

The magnitude of magnetic field, |B| will be |-0.324| = 0.324 T

In order to increase thermal energy, the temperature must ___________.a.
increase
c.
remain the same
b.
decrease
d.
it cannot be determined

Answers

Answer: Option (a) is the correct answer.

Explanation:

Energy obtained by an object due to the motion of particles that are present within the object is known as thermal energy.

So, when we increase the temperature of a substance then its molecules tend to gain kinetic energy. Because of this molecules will start to move from their initial position and hence, there will be more number of collisions between the molecules.

As a result, there will be increase in thermal energy of the substance.

Thus, we can conclude that in order to increase thermal energy, the temperature must increase.

In order to increase thermal energy, the temperature must increase

how much time would it take for an airplane to reach its destination if it traveled at an average speed of 790 kilometers/hours for a distance of 4700 kilometers? what is the airplanes speed in miles/hours?

Answers

If the airplane covered 790 kilometers along the ground every hour,
and if it could keep that up, and if there was no wind, and if the
airplane pointed its nose directly toward its destination and never
zigged or zagged even the slightest bit, then it would cover
790 kilometers of the distance during the first hour, another
790 kilometers of the distance during the second hour, another
790 kilometers of the distance during the third hour, 790 more
kilometers of the distance during the fourth hour, and so forth
and so on until it had arrived at its destination.

The minimum time it would need for the total trip would be

   (4,700 kilometers) / (790 kilometers per hour) =

   5.9494... hours (rounded)

   5hours 56m 57.7seconds (rounded) .

(790 kilometers) x (1 mile / 1.609344 kilometers) = 490.88 miles (rounded)

$t = ( \Delta S)/( \Delta V) \n \n t = (4700)/(790) \n \n t \approx 5.95 hours.$

1 kmph is approx. 0.6214 mph.
Then.. 790 will be approx. 490 mph.

The weight of a body floating in a liquid is

Answers

Answer:

The apparent weight is the weight of the body minus the weight of the liquid displaced. The body will float only when both the weights are same. In this case, the given body of weight W is floating and hence the apparent weight is zero.

Answer:

Zero

Explanation:

A ferry coming into port is sailing at 12 m/s. It takes 2.5km to come to rest in the port. Calculate the deceleration of the ferry.

Answers

Answer: -0.0288 m/s^2

Explanation:

Let's suppose that the ferry decelerates at a constant rate A (deceleration is an acceleration in the opposite direction to the original motion of an object)

Then the acceleration equation of the ferry will be:

a(t) = -A

(the negative sign is because this acceleration is in the opposite direction with respect to the movement of the ferry)

To get the velocity equation of the ferry, we need to integrate with respect to the time, t, we will get:

v(t) = -A*t + v0

where v0 is the initial velocity of the ferry, v0 = 12m/s.

v(t) = -A*t + 12m/s

For the position equation of the ferry we need to integrate again over time:

p(t) = (-A/2)*t^2 + (12m/s)*t + p0

Where p0 is the initial position of the ferry, in this case, it can be zero, because it will depend on where we put the origin on our coordinate axis.

then p0 = 0m

P(t) = (-A/2)*t^2 + (12m/s)*t

The ferry will come to rest at the moment when it's velocity is equal to zero, this will happen when:

v(t) = 0m/s = -A*t + 12m/s

We need to find the value of t.

A*t = 12m/s

t = (12m/s)/A

Now we can replace this in the position equation because we know that the ferry needs 2.5 km or 2500 meters to come to rest.

p( (12m/s)/A) = 2500m = (-A/2)*( (12m/s)/A)^2 + (12m/s)*((12m/s)/A)

2500m = (-72 m^2/s^2)/A + (144m^2/s^2)/A

2500m = (72 m^2/s^2)/A

2500m*A = (72 m^2/s^2)