mason notices that his boat sinks lower into the water in a freshwater lake than in the ocean. what can explain this?

An office heater that outputs 2050 BTUs of energy per hour can produce approximately 18,943.32 megajoules of energy per year when operated continuously, due to the conversion from BTU to kilojoules and then to megajoules.

The student wants to know how many megajoules of energy in the form of heat can be produced per year by a heater that puts out 2050 BTUs per hour. Since 1 BTU is equivalent to 1.055 kilojoules (kJ), we first convert the hourly heat output to kJ.

To find the yearly output in kJ, we multiply the hourly output by the number of hours in a year (24 hours/day × 365 days/year).

Thus, the heater can produce approximately 18,943.32 megajoules of heat energy per year if operated continuously.

Acceleration due to gravity = 2.6m/s²

Length of building = d = 88.3m

Time he needed before she hits the ground = ?
 we can find the time by using the formula;

D = 1/2at²

Now putting the value;

88.3 = (1/2) a t²

88.3 = 1/2 x 23.6 x t²

t² = 88.3 / 11.8

= 7.48

The resistance of a lamp connected to a 12v battery that generates a current of 2.0A is calculated using Ohm's law to be 6 ohms.

The question asks about the resistance of a lamp connected to a 12v battery that generates a current of 2.0 A.

Using Ohm's law which states that voltage(V) equals current(I) times resistance(R), or V = IR , we can calculate the resistance. In this case, we know the current (I) is 2.0 A and the voltage (V) is 12 V.

We rearrange the formula to find R (resistance) = V/I. Substituting the given values, we have: R = 12v/2.0A = 6 ohms.

Hence, the resistance of the lamp at the current of 2.0 A is 6 ohms.

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The mass of the lead cylinder is 1963.53 grams.

Given that;

The mass of a cylinder of lead that is 1.80 in diameter, and 4.12 in long.

Now for the mass of a lead cylinder, use the formula:

Mass = volume × density

First, calculate the volume of the cylinder.

The volume of a cylinder is given by:

[tex]\text {Volume} = \pi r^2 h[/tex]

where r is the radius and h is the height.

Given that the diameter of the cylinder is 1.80 in,

Hence, find the radius by dividing it by 2:

Radius = 1.80 in / 2

Radius = 0.90 in

Next, convert the radius and height to the same unit as the density, which is grams per millilitre (g/ml).

Let's convert the dimensions to centimetres.

Since; 1 inch = 2.54 cm:

Hence, We get;

Radius = 0.90 in × 2.54 cm/in

           = 2.29 cm

Height = 4.12 in × 2.54 cm/in

           = 10.46 cm

Now, calculate the volume:

[tex]\text { Volume} = \pi \times (2.29 cm)^2 \times 10.46 cm[/tex]

             [tex]= 172.24 cm^3[/tex]

Since the density of lead is given as 11.4 g/ml, we need to convert the volume from cm³ to ml:

[tex]Volume = 172.24 cm^3 \times (1 ml / 1 cm^3)[/tex]

             [tex]= 172.24 ml[/tex]

Finally, calculate the mass using the formula:

Mass = Volume × Density

Mass = 172.24 ml × 11.4 g/ml

Mass = 1963.53 g

Therefore, the mass of the lead cylinder is 1963.53 grams.

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Final answer:

To find the mass of a lead cylinder with given dimensions and density, calculate the cylinder's volume in cubic centimeters (which equals milliliters), then multiply by the density of lead to find the mass in grams. The mass of the cylinder is approximately 1892.63 grams or 1.893 kg.

Explanation:

The student is asking for the mass of a cylinder of lead with a diameter of 1.80 inches and a length of 4.12 inches, given that the density of lead is 11.4 g/ml. To solve this, we first need to calculate the volume of the cylinder using the formula V = πr^2h, where V is volume, r is radius (half the diameter), and h is height (or length in this case). Then, we convert the volume into milliliters (since the density is given in g/ml) and use the density formula (mass = density × volume) to find the mass.

First, convert the dimensions to centimeters because the density is given in g/cm³ (1 inch = 2.54 cm).

Answer:

9264706 molybdenum atoms have to be laid.

Explanation:

The parameter of the atom which  will determine the number of atoms needed to span a certain distance is the diameter. Diameter (d) is simply two times radius(r):

[tex]d=2r=2*136pm=272pm[/tex] (eq. 1)

If we express the number of molybdenum atoms needed with the letter x, the spanned distance (2.52mm) has to be equal to the number of atoms (x) times the diameter of these atoms.

[tex]2.52mm=x*d[/tex] (eq 2.)

Before stating an equation, all units have to be consistent (272 picometres expressed in mm, or 2.52mm expressed in pm, either one). Let's convert 272pm, using a conversion factor:

Conversion factor: [tex]1mm=1*10^9pm[/tex]

[tex]272pm=272pm*(\frac{1mm}{1*10^9pm})=2.72*10^-7mm[/tex]

Now, solving for "x" in the second equation:

[tex]x=\frac{2.52mm}{d}[/tex]

Plugging in the "d" value:

[tex]x=\frac{2.52mm}{2.72*10^-7mm}=9264706[/tex]

If the sun suddenly ceased to shine, then the earth will become dark after 8 min. The speed of light in a vacuum is given as 3* [tex]10^{8}[/tex] m/sec and the distance from the sun to earth is 148.97 million km.

Light moves at about 300,000 kilometers per second in a vacuum, which has a refractive index of 1.0, but it slows to 225,000 kilometers per second in water and 200,000 kilometers per second in glass, both of which have refractive indices of 1.3.

Given that in the question when sun ceased to shine than light on the earth will come after 8 min of ceasing because sunlight takes 8 min to reach on the earth. The speed of light in a vacuum is 186282 miles per second (299792 km/sec.

Light will come after 8 min when sun ceased to shine.

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The query involves the application of physics specifically taking into consideration projectile motion. The minimum speed of the ball when it left the bat, assuming a 45° launch angle and no air resistance, is calculated to be approximately 28.36 m/s.

This is a question about projectile motion in physics and requires the understanding and application of kinematic equations. Projectile motion assumes air resistance is negligible, and the only force operating on the object is gravity.

The formula to calculate the initial velocity (or speed when the angle is 45°) of the projectile is v = sqrt((g * d) / sin(2θ)), where g is the acceleration due to gravity (approx. 9.8 m/s²), d is the distance, and θ is the launch angle.

So plugging in the values: sqrt((9.8 m/s² * 81 m) / sin(90°)) gives us approximately 28.36 m/s. Therefore, the minimum speed of the ball when it left the bat, assuming a 45° launch angle, is roughly 28.36 m/s.

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Final answer:

The round trip swimming in the river with a current takes a total of 2016.8 seconds, while the same trip in still water would take 1666.7 seconds. The additional time required when there is a current is because the effective speed of the swimmer is reduced when going against the current, which outweighs the time saved by the increased speed when going with the current.

Explanation:

A river has a steady speed of 0.500 m/s and a student swims upstream a distance of 1.00 km and swims back to the starting point. Given these conditions, we can calculate the time taken for the entire trip, the time required for a similar trip in still water, and understand why swimming in a current takes longer.

Part A: Time for the round trip with current

Upstream, the student's effective speed is 0.70 m/s (1.20 m/s - 0.500 m/s) since the current opposes the swimmer. Downstream, the effective speed is 1.70 m/s (1.20 m/s + 0.500 m/s) as the current aids the swimmer. To find the time, we use the formula time = distance / speed. Thus, the time taken upstream is 1428.6 seconds and downstream is 588.2 seconds. The total time for the round trip is 2016.8 seconds.

Part B: Time for the same swim in still water

In still water, where there is no current, the speed of the swimmer is 1.20 m/s. The total distance of 2.00 km (1.00 km upstream and 1.00 km downstream) would require 1666.7 seconds to swim, calculated using the same distance/speed formula.

Part C: Intuition behind increased time with current

Intuitively, when there is a current, the effective speed of the swimmer decreases when swimming upstream because the current opposes the swimmer's motion, and although it increases when swimming downstream, the overall effect is that more time is needed to complete the swim as compared to swimming in still water. This is due to the fact that the loss of speed when going against the current has a more significant impact on the total time than the gain in speed when going with the current.

The answer is not B.

Answer: Option (b) is the correct answer.

Explanation:

A positively charged particle that consists of two protons and two neutrons is known as an alpha particle.

The symbol for alpha particle is [tex]^{4}_{2}\alpha[/tex]. An alpha particle is similar to a helium atom because helium atom also has mass number (number of protons + number of neutrons) as 4 and atomic number (number of protons) as 2.

Symbol of helium atom is [tex]^{4}_{2}He[/tex].

Thus, we can conclude that an alpha particle is also referred to as a nucleus of helium isotope.

Answer:

The likely result is that you die due to a strong discharge of electricity.

Explanation:

Electricity goes its way to the cities through a high voltage grid. Traveling over hundreds of kilometers of wire, electric power is very dangerous and can cause shock as a result of an electric shock that can kill any living thing. Falling, covered or empty power lines are very dangerous and should not be touched under any circumstances. These lines can contain high voltage energy and cause death if touched by someone who is not properly protected, so it can only be touched by professionals with proper protective equipment.

The time for the feather to fall to the surface of the moon is about 1.29 seconds.

To determine the time for the feather to fall to the surface of the moon, we can use the equation:

distance = (initial velocity × time) + (0.5 × acceleration × time^2)

Since the feather is dropped, its initial velocity is 0 m/s. The distance is 1.40 meters and the acceleration is -1.67 m/s^2. Plugging these values into the equation and solving for time:

1.40 = 0.5 × (-1.67) × time^2

time^2 = -1.40 / (-0.5 × 1.67)

time^2 = 1.67

time ≈ √1.67

Using a calculator, the approximate value of √1.67 is 1.29 seconds. Therefore, it will take about 1.29 seconds for the feather to fall to the surface of the moon.

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The bright, visible surface of the sun that we see from the earth is called the photosphere, which emits majority of light and has an average temperature of 5500 degrees Celsius.

The bright, visible surface of the sun that we see from Earth is known as the photosphere. The photosphere is the layer of the sun where the majority of the light is emitted. It's responsible for the visible light we see, and hence, it appears bright to us. The average temperature of the photosphere is approximately 5500 degrees Celsius. The sunspots, which are darker and cooler areas, can also be observed in this layer due to magnetic activity.

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Answer:

Kinetic energy, KE = 45 J

Explanation:

It is given that,

Force applied by girl on a sled, F = 15 N

It moves a distance, d = 3 m

We need to find the kinetic energy of the sled after she pulls it. We know that the work done is equal to the change in kinetic energy

[tex]W=\Delta E=K_f-K_i[/tex]

[tex]K_i=0[/tex] (initial at rest)

[tex]KE=W=F\times d[/tex]

[tex]KE=15\ N\times 3\ m=45\ J[/tex]

So, the kinetic energy of the sled after she pulls it is 45 J. Hence, this is the required solution.

Answer:

26m/s

Explanation:

Acceleration is the change in velocity of a body with respect to time. Mathematically,

Acceleration = change in velocity/time

Acceleration = final velocity (v) - initial velocity (u)/time (t)

Given a = 4m/s², v = ? u = 18m/s, t = 2seconds.

Substituting in the given formula,

4 = v-18/2

8 = v-18

v = 8+18

v = 26m/s

The new velocity of the body is therefore 26m/s

Answer:

Distance 1000 meters

Displacement: 600 meters east.

Average speed: 500 meters per minute

Average velocity: 300 meters per minute

Explanation:

In order to calculate this you just have to know the difference between distance and displacement, distance is the total meters that someone walk or run or moved accros, and displacement is a vector, that is the result of how far away from the starting point the object finished. Then with this two values you can calculate average speed which is distance between time, and average velocity which is displacement between time.

Answer:

[force hope this help]

Explanation:

You will take 400N divide by 2. The answer will be 200N.

Final answer:

The chronological order of events according to the Big Bang theory begins with the formation of hydrogen and helium atoms a few seconds after the Big Bang, followed by the formation of protostars and stars around 400 to 500 million years later. Subsequent events include the creation of heavier elements through supernova explosions, culminating in the formation of our Sun and the Earth about 9 billion years after the Big Bang.

Explanation:

To put each event in order of its occurrence according to the Big Bang theory, we can use our knowledge of cosmic history and the timelines provided by theoretical predictions and observational evidence to create a chronological list.

Formation of hydrogen and helium atoms - This event occurs a few seconds after the Big Bang, when the universe was extremely hot and dense, allowing for the creation of protons, neutrons, and eventually leading to the formation of hydrogen and helium nuclei.

Formation of large nebulae into protostars and eventually full-blown stars - About 400 to 500 million years after the Big Bang, the universe had expanded and cooled enough for the first stars and galaxies to begin forming from large clouds of gas.

Early massive stars exploded producing supernovae and heavier elements - This process of star formation and destruction, including supernovae, would have begun relatively soon after the first stars formed and continued throughout the history of the universe, enriching the interstellar medium with heavier elements over time.

Formation of our Sun and the Earth - Our solar system, including the Sun and Earth, formed about 9 billion years after the Big Bang, from the gravitational collapse of a region within a large molecular cloud.

Answer:

-3.2

Explanation:

This question involves the concept of magnification and image height.

The image height is "3.2 cm".

The magnification of a mirror can be given as the ratio of height of image to the height of object. It can also be given as the ratio of the distance of image from mirror to the distance of object from the mirror.

[tex]M = \frac{h_i}{h_o}=\frac{q}{p}[/tex]

where,

Therefore,

[tex]\frac{h_i}{8\ cm}=\frac{16\ cm}{40\ cm}\\\\h_i=\frac{(8\ cm)(16\ cm)}{40\ cm}[/tex]

[tex]h_i=3.2\ cm[/tex]

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Final Answer:

a) 1960 m

b) 1860 m

Explanation:

a) When the balloon is at rest, the height it was dropped from can be calculated using the formula for free fall: [tex]\( h = \frac{1}{2} g t^2 \)[/tex], where h is the height, g is the acceleration due to gravity, and t is the time taken. Substituting the given values, we find [tex]\( h = \frac{1}{2} \times 9.8 \, \text{m/s}^2 \times (20 \, \text{s})^2 = 1960 \, \text{m} \)[/tex].

b) If the balloon is ascending with a speed of 50 m/s when the bottle is dropped, we subtract the distance traveled by the balloon in 20 s from the height calculated in part (a). The distance traveled by the ascending balloon is [tex]\( 50 \, \text{m/s} \times 20 \, \text{s} = 1000 \, \text{m} \)[/tex]. Therefore, the height of the balloon is [tex]\( 1960 \, \text{m} - 1000 \, \text{m} = 960 \, \text{m} \)[/tex].