A 500g sample of Potassium-40 is left to decay radioactively. After 3.9 x 109 years, about how many grams of Potassium-40 are expected to remain? [The half-life of Potassium-40 is 1.3 x 109 years.]

Static electricity is shown by building up electric charges on a Van de Graaff generator. Given statement is correct.

The imbalance of electric charges within or on the surface of a substance, or between materials, is known as static electricity.

Static electricity is generated by Van de Graaff generators. Static does not include acceleration, implying that it is stationary, which pertains to the formation of electric charges.

Static electricity is shown by building up electric charges on a Van de Graaff generator.

Hence,given statement is correct.

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When you drive along the right-rear side of another vehicle, you are in one of the driver's blind spots and in danger of a collision.

Driving is the controlled operation and movement of a vehicle, including cars, motorcycles, trucks, buses, and bicycles.

The most critical thing to do before you pass another vehicle is check to the right side.  It is also very important never to drive faster than the the speed limit, or at a speed that is unsafe for the current traffic,

weather or road condition in order to pass other vehicles. The law requires you to only pass other vehicles on the left (using the left lane). This is why you should check the right side.

Hence when you drive along the right-rear side of another vehicle, you are in one of the driver's blind spots and in danger of a collision.

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Answer:

Series

Explanation:

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If you practice good human relation skills then you will be more happy, be open, talk more, you will think more positive and a lot more. (these are just some examples)

Hope this will help someone! ;)

The acceleration of a cheetah that can increase its speed from 0 to 70 mph in 2.2 seconds is 14.224 m/s² after converting the velocity into meters per second.

To calculate the acceleration of a cheetah that can go from 0 to 70 mph in 2.2 seconds, we first need to convert the speed from miles per hour (mph) to meters per second (m/s). The conversion factor is 1 mph = 0.44704 m/s. So, 70 mph is equivalent to 70 × 0.44704 m/s, which equals 31.2928 m/s. According to the formula for acceleration (a), which is the change in velocity (Δv) divided by the time (Δt), the cheetah's acceleration would be:

a = Δv / Δt = (31.2928 m/s - 0 m/s) / 2.2 s = 14.224 m/s²

Therefore, the cheetah's acceleration is 14.224 m/s².

Final answer:

The Duracell and Interstate brands offer golf cart batteries with differences in performance, battery life, and maintenance needs. While Duracell is known for reliable and long-lasting power, Interstate emphasizes build quality and has a strong support network. The choice depends on user preferences and cart compatibility.

Explanation:

The Duracell and Interstate brands offer golf cart batteries, with distinctions that can influence a consumer's choice. Duracell batteries are known for their long-standing reputation in battery reliability and performance. They typically provide a range of batteries for various applications, including golf carts, with attention to long-lasting power and durability. On the other hand, Interstate batteries boast top-quality construction and are also very reliable, with a strong presence in the automotive battery market. Consumers may find differences in the specifications such as battery life, maintenance requirements, performance under varying conditions, and price between the two brands.

When choosing between Duracell and Interstate golf cart batteries, one should consider factors such as the type of battery (flooded lead-acid vs. AGM), capacity, cycle life, maintenance needs, and warranty offered by the manufacturer. Duracell generally offers a reliable and consistent performance, while Interstate emphasizes build quality and has a strong distribution network for customer support. Ultimately, the decision should be based on the specific needs and preferences of the user, as well as the compatibility with their golf cart model.

To calculate the average speed of the person's entire trip, you would use the formula of total distance divided by total time. In this scenario, the total distance is twice the distance from point A and B, and the total time is the sum of the times taken to walk from A to B and back.

The question is asking about the concept of average speed, which in physics is defined as the total distance travelled divided by the total time taken. In this case, the subject walks from point A to B and then retraces her steps back to A.

Since she's retracing her exact path, the total distance travelled is essentially twice the distance from A to B. The total time taken is the time taken to walk from A to B plus the time taken to walk back.

Firstly, we would determine the time taken for each leg of the journey by dividing the distance, say 'd', by her speed. However, since we don't have a specific distance given, we can use variables.

Let's say the time taken to travel from A to B is 't1' (d/2.3) and from B to A is 't2' (d/1.1).

Her total journey time 'T' is the sum of 't1' and 't2'. To get the average speed, we divide the total distance travelled (which is '2d') by 'T'. This would give us an equation that represents her average speed for the entire trip.

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A person starts walking at a constant speed of 2.3 m/s in a straight line from point A to point B. At point B she turns around and walks back to point A at a speed of 1.1 m/s

Let distance between A and B be s.

When she goes from A to B,

Time taken = Distance travelled/ Speed

= s/ 2.3

When she goes from B to A,

Time taken= Distance travelled/ Speed

= s/1.1

Total distance travelled= s+s= 2s

Total time taken:

= s/2.3+s/1.1

=1.1s+2.3s/1.1*2.3

=3.4s/2.53

Average speed= Total distance/ Total time

= 2s / (3.4s/2.53)

= 1.48 m/s

Therefore, the average speed of the whole journey is 1.48 m/s.

Answer:

Z: Gamma rays

X: Visible light

Explanation:

A close look at the diagram attach shows the core of the sun and then the external surface.

Gamma rays are intricately associated with the nuclear reactions that go on in the core of the sun that makes it to produce light. Hence Z must refer to gamma rays emitted in these nuclear processes at the core of the sun.

Visible light is given out by the sun and seen externally. Hence X is visible light.

Answer:

4.8*10^-8M

Explanation:

To determine the concentration of Pb2+ in the anode compartment, we can use the Nernst equation. By rearranging the Nernst equation and plugging in the given values, we can calculate the concentration of Pb2+ in the anode compartment.

To determine the concentration of Pb2+ in the anode compartment, we need to use the Nernst equation. The Nernst equation relates the cell potential to the concentration of ions in each compartment of the cell. It is given by: Ecell = E°cell - (0.0592/n) × log([Pb2+]/[Sn2+]), where Ecell is the cell potential, E°cell is the standard cell potential, [Pb2+] is the concentration of Pb2+ in the anode compartment, [Sn2+] is the concentration of Sn2+ in the cathode compartment, and n is the number of electrons transferred in the balanced redox reaction.

In this case, the cell potential is 0.24 V, [Sn2+] is 1.50 M, and n is 2 (since it is a Sn2+/Pb2+ redox reaction). Therefore, the equation becomes: 0.24 = E°cell - (0.0592/2) × log([Pb2+]/1.50). We can rearrange this equation to solve for [Pb2+]: [Pb2+] = (10^((E°cell - 0.24) × 2 / 0.0592)) × 1.50.

The volume of the cube-shaped pool when filled to the top is 27 cubic feet, as the cube has a side length of 3 feet.

To determine the volume of a cube-shaped pool when it is filled to the top, given that the water is currently 3 feet deep and at half capacity, we can apply the formula for the volume of a cube: Volume = length times width times height. Since the pool is half full, and given that the height of the water is 3 feet, it means that the length of a side of the cube is also 3 feet, as it is a cube shaped pool.

Therefore, the volume of the pool when full would be:
Volume = 3 feet times 3 feet times 3 feet = 27 cubic feet.

This calculated volume represents the pool's total capacity, assuming it's filled all the way to the top.

Answer:

The given circuit diagram shows parallel circuit.

Explanation:

In this circuit diagram two bulbs are connected in parallel combination because current flows from the battery gets bifurcated at the junction. Thus, two bulbs are connected in parallel combination.

This parallel combinations of bulbs then connected to the battery given in the diagram. So, the combinations of bulbs are connected in parallel combinations with the battery.

Hence, both bulbs and battery are connected in parallel combinations with each other.

The circuit diagram shown in figure is parallel.

Answer:

The given circuit is in

Series circuit is the one in which there is more than one resistor.

Combination circuit is the one in which gates are used to form the circuit.

Open circuit is the one in which there is no battery.

Parallel circuit is one in which current is divided in different paths.

Here, we can see that we have a battery in the circuit that means it is closed circuit.

And Current is divided that means it is parallel combination.

Therefore, Option D is correct that is parallel.

Answer:

(1) Physical characteristics different.

(2) Difference in direct relation of mental picture with the real object.

Explanation:

There are the points which describe the non similarities between symbolic and analogical representation:

Answer:

[tex]5.65\times 10^{26} kg[/tex]

Explanation:

From Kepler's third law: Mass of the planet is given by:

[tex] M = \frac{4\pi ^2d^3}{GT^2}[/tex]

where, T is the time period of satellite revolving about the planet at a distance d. G is the gravitational constant = 6.67 × 10⁻¹¹ Nm²/kg²

Given, d = 1.87 × 10⁸ m

T = 82800 s

⇒[tex] M = \frac{4\pi ^2 (1.87\times 10^8)^3}{(6.67\times 10^{-11})(82800)^2}=5.65\times 10^{26} kg[/tex]

Answer:

C.The amount of force stays the same; the direction changes. You pull down to move something up.

Explanation:

i got it right so trust me. if you dont ur loss

The path of the electron is 30.2μm

Data;

The path of the electron is circular and the radius can be calculated with the help of centripetal force.

[tex]qvB = \frac{mv^2}{r} \\qB = \frac{mv}{r}\\ r = \frac{mv}{qB} \\[/tex]

Let's substitute the value and solve.

[tex]r = \frac{mv}{qB}\\r = \frac{9.10*10^-^3^ * 1.70* 10^6}{(1.60*10^-^1^9 * 0.320}\\r = 3.02*10^-5\\r = 30.2 \mu m[/tex]

The path of the electron is 30.2μm

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Final answer:

The path of an electron projected upward into a horizontal magnetic field, when viewed from above, forms a circular motion due to the magnetic force acting as a centripetal force. The electron will circulate clockwise because of its negative charge.

Explanation:

An electron is projected vertically upward with a speed of 1.70 × 106 m/s into a uniform magnetic field of 0.320 T that is directed horizontally away from the observer. When an electron moves through a magnetic field perpendicular to the direction of the field lines, it experiences a magnetic force perpendicular to both the field and its velocity. This force acts as a centripetal force and causes the electron to move in a circular path.

Since the magnetic field is horizontal and the electron is projected upward, the magnetic force will cause the electron to circulate in a plane perpendicular to the magnetic field. When viewed from above, the path of the electron will be a circle.

It's important to note that the direction of the force and thus the direction of the circular motion depends on the fact that the electron has a negative charge. According to the right-hand rule, as the electron is projected upward, the force will be directed to the observer's left, causing the electron to circulate clockwise when viewed from above.

In conduction mode of heat transfer energy is transferred through medium molecules by their vibration about their own position. SO here medium particles remain at their own position while energy is transferred from one point to other

In convection mode of heat transfer the heat is carried by the medium molecules from one place to other. So here medium moles itself transfer with the energy.

In radiation mode heat energy is transferred through electromagnetic waves so there is no medium required for this.

So correct answer is

Convection and conduction transfer thermal energy through matter only, and radiation transfers thermal energy through both matter and empty space.

Convection and conduction transfer thermal energy through matter only, and radiation transfers thermal energy through both matter and empty space.