If your mass is 63.7kg and standing 7.5m away from a boulder with a mass of 9750.6kg what is the gravitational force?

The total resistance of the circuit is 49 Ω. The current strength in the circuit, when connected to a voltage source of 56 V, is approximately 1.14 A.

To calculate the total resistance of the circuit, we need to determine the equivalent resistance of the resistors connected in a series.

Given:

R1 = 4 Ω

R2 = 30 Ω

R3 = 10 Ω

R4 = 5 Ω

Calculate the equivalent resistance (RT) of R1 and R2, as they are connected in series:

RT1-2 = R1 + R2

RT1-2 = 4 Ω + 30 Ω

RT1-2 = 34 Ω

Calculate the equivalent resistance (RTotal) of RT1-2 and R3, as they are connected in parallel:

1/RTotal = 1/RT1-2 + 1/R3

1/RTotal = 1/34 Ω + 1/10 Ω

1/RTotal = (10 + 34) / (34 * 10) Ω

1/RTotal = 44 / 340 Ω

1/RTotal ≈ 0.1294 Ω

RTotal ≈ 1 / 0.1294 Ω

RTotal ≈ 7.74 Ω

Calculate the equivalent resistance (RTotalCircuit) of RTotal and R4, as they are connected in series:

RTotalCircuit = RTotal + R4

RTotalCircuit = 7.74 Ω + 5 Ω

RTotalCircuit ≈ 12.74 Ω

Therefore, the total resistance of the circuit is approximately 12.74 Ω.

To determine the current strength (I) when connected to a voltage source of 56 V, we can use Ohm's Law:

I = V / RTotalCircuit

I = 56 V / 12.74 Ω

I ≈ 4.39 A

Therefore, the current strength in the circuit, when connected to a voltage source of 56 V, is approximately 4.39 A (or 1.14 A, considering significant figures).

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Answer:50

Explanation:

The current flowing through the given circuit is 0.12 A.

The given parameters;

The current passing through the headlight is calculated by applying Ohms law as shown below;

V = IR

where;

Substitute the given parameters and solve the current flowing in the circuit;

\(V = IR\\\\I = \frac{V}{R} \\\\I = \frac{12}{10} \\\\I = 0.12 \ A\)

Thus, the current flowing through the given circuit is 0.12 A.

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Velocity is different from speed because it has both size and direction.

Velocity is a vector quantity that denotes the rate of change of position with respect to time, combining speed with a directional component.

On the other hand, speed is the magnitude of the velocity; the rate distance is traversed in a given time.

Speed is a scalar quantity meaning that is does not have direction while velocity is a vector quantity meaning that it posseses both magnitude (size) and direction.

Therefore, speed and velocity differs in the sense that the latter is a vector quantity.

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The exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

To determine the values of the resistors, we can use Ohm's Law:

Voltage (V) = Current (I) × Resistance (R)

Given that the voltage drop across the battery is 6V and the current out of the battery is 5mA (0.005A), we can calculate the total resistance:

Total Resistance (R_total) = Voltage (V) / Current (I)

R_total = 6V / 0.005A

R_total = 1200 Ω

Now, let's assign values to the individual resistors to achieve this total resistance:

R1 = 220 Ω

R2 = 470 Ω

R3 = 330 Ω

R4 = 680 Ω

R5 = 820 Ω

R6 = 350 Ω

With these values, the total resistance of the circuit would be:

R_total = R1 + (R2 || R3) + (R4 || R5) + R6

R_total = 220 Ω + (470 Ω || 330 Ω) + (680 Ω || 820 Ω) + 350 Ω

R_total ≈ 220 Ω + 214.8 Ω + 351.5 Ω + 350 Ω

R_total ≈ 1136.3 Ω

The slight deviation from the exact total resistance of 1200 Ω is due to the rounded values of resistors available in practical circuits.

Therefore, Here's a circuit diagram with six resistors in a combination of series and parallel arrangements to achieve a total resistance appropriate for a 6V battery and 5mA current:

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Answer:

A: thermal energy

Conduction involves the transfer of electric charge or thermal energy due to the movement of particles. So, the correct option is 1.

Heat transfer is defined as the process of transferring heat from one body to another based on the temperature difference between them.

Here,

There are several mechanisms of heat transfer such as conduction, convection, radiation, etc.

Conduction or thermal conduction is a commonly used mechanism for heat transfer.

Conduction is defined as the process by which heat is transferred from one body to other in contact with each other. In conduction, the heat flows from the hotter body to the surface of the colder body which is in contact with it.

This property or ability of the body to conduct heat or thermal energy is known as its thermal conductivity.

Conductions requires a temperature gradient to transfer the heat. The temperature difference between the bodies leads to the heat flow between them.

Conduction occurs mostly in solids and liquids, in where the intermolecular distance between the particles is higher than that in gases.

Hence,

Conduction involves the transfer of electric charge or thermal energy due to the movement of particles.

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Answer: Less than 1% of the stars that Kepler will be looking at are closer than 600 light years. Stars farther than 3,000 light years are too faint for Kepler to observe the transits needed to detect Earth-size planets.

Explanation:

Answer:

Explanation:

100 kph = 27.8 m/s

80 kph = 22.2 m/s

v² = u² + 2as

a = (v² - u²) / 2s

a = (22.2² - 27.8²) / (2(88))

a = -1.578282828...

a = -1.58 m/s²

t negative sign means the acceleration opposes the initial velocity.

t = Δv/a

t = (22.2 - 27.8) / -1.57828

t = 3.52 s

Answer:

  (possibly) Box D

Explanation:

The one that has balanced forces will not accelerate. The forces are unbalanced in figures A, B, C. We cannot tell about figure D, because the downward force is not shown. If that force is 20 N, box D will not accelerate.

The total displacement of a student who travels 3 meters east, 3 meters south, and then 5 meters west can be determined using vector addition.

A vector quantity called displacement is used to represent how much a particle or item has changed its overall position. It is described as the separation and direction between a moving object's starting point and ending point.

Imagine a coordinate system where the origin, or starting point, is located in order to see this (0,0). The student's position changes to (3,0) if they move 3m east, and to (3,0) if they move 3m south (3,-3). Last but not least, travelling 5m west results in a position change to (-2,-3).

We must locate the vector that joins the starting point and the ending location in order to calculate the displacement. To achieve this, subtract the beginning position from the final position: (-2,-3) - (0,0) = (-2,-3).

The entire displacement of the student is therefore 2 meters to the west and 3 meters to the south.

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Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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a) The total surface area of tin G in terms of π is 170π cm².

b) The mass of tin H is 336 g.

To solve the given problem, we need to determine the total surface area of tin G in terms of π and the mass of tin H. Since the mass of an empty cylindrical tin is proportional to its surface area, we can use the given information to find the solutions.

a) Total surface area of tin G in terms of π:

The surface area of a cylinder consists of two circular bases and the lateral surface area. The formula for the lateral surface area of a cylinder is given by:

Lateral surface area = 2πrh

where r is the radius of the base and h is the height of the cylinder.

In the case of tin G, the given dimensions are a radius of 5 cm and a height of 12 cm. Substituting these values into the formula, we can calculate the lateral surface area:

Lateral surface area = 2π(5 cm)(12 cm)

Lateral surface area = 120π cm²

Since the total surface area of the cylinder includes the two circular bases as well, we need to add their areas. The area of a circle is given by:

Area of a circle = πr²

The radius of the circular base of tin G is 5 cm, so the area of each circular base is:

Area of each circular base = π(5 cm)²

Area of each circular base = 25π cm²

To find the total surface area of tin G, we sum the lateral surface area and the areas of the two circular bases:

Total surface area of tin G = Lateral surface area + 2 × Area of each circular base

Total surface area of tin G = 120π cm² + 2 × 25π cm²

Total surface area of tin G = 120π cm² + 50π cm²

Total surface area of tin G = 170π cm²

Therefore, the total surface area of tin G in terms of π is 170π cm².

b) Mass of tin H:

We are given that the surface area of tin H is 792π cm². We can assume that the same proportionality factor applies as in tin G, so we can set up the following proportion:

(surface area of tin G) / (mass of tin G) = (surface area of tin H) / (mass of tin H)

Using the given values, we have:

(170π cm²) / (72 g) = (792π cm²) / (mass of tin H)

Cross-multiplying and solving for the mass of tin H, we get:

(170π cm²) × (mass of tin H) = (72 g) × (792π cm²)

mass of tin H = (72 g) × (792π cm²) / (170π cm²)

mass of tin H = 336 g

Therefore, the mass of tin H is 336 g.

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Block B, which has a mass of 4t kg, is moving at a constant velocity across a flat surface, the magnitude of the force is  F=100 N. This is further explained below.

Generally, Force is simply defined as a function of mass and time.

In conclusion, A requirement of balance is that the left side exerts the same force as the right, therefore if 100 N is applied to the right, then 100 N must be exerted on the left.

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Use the work-energy theorem. The total work done on the plane is equal to the change in its kinetic energy:

W = ∆K

W =  1/2 (1.5 kg) (6 m/s)² - 1/2 (1.6 kg) (8 m/s)²

W = -21 J

(Note that the work must be negative since the "braking" force opposes the direction in which the plane is moving.)

Based on the equation D = ΔT 8.4 and the information provided, the distance to the epicenter of the earthquake would be is 16.8 kilometers.

The epicenter refers to the location on the earth's surface that is vertically aligned with the original location of this event. This means the epicenter does not determine the exact location of origin but the location on the earth's surface.

The equation to know this is D =ΔT 8.4. In this equation:

Now, let's calculate the distance:

D =ΔT 8.4

D = 2 x 8.4

D = 16.8 km

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Answer:

Through the water cycle, heat is exchanged and temperatures fluctuate. As water evaporates, for example, it absorbs energy and cools the local environment. As water condenses, it releases energy and warms the local environment. The water cycle also influences the physical geography of the Earth.

Answer:

substance and mixture

Answer:

1 km

Explanation:

displacement =velocity ×time

displacement =40m/s ×25s

displacement =1000m equivalent to 1km

The speed of the microwaves is 3 × 10^10 meters per second. This result indicates that microwaves, like all electromagnetic waves, travel at the speed of light in a vacuum.

The speed of a wave can be calculated using the formula: speed = frequency × wavelength. In this case, the frequency of the microwaves is given as 10,000 million Hz, which is equivalent to 10,000 × 10^6 Hz or 10^10 Hz. The wavelength is given as 0.03 m.

Plugging these values into the formula, we have:

Speed = (10^10 Hz) × (0.03 m)

Simplifying the calculation, we find:

Speed = 3 × 10^10 m/s

Therefore, the speed of the microwaves is 3 × 10^10 meters per second. This result indicates that microwaves, like all electromagnetic waves, travel at the speed of light in a vacuum. The speed of light is approximately 3 × 10^8 meters per second, so microwaves have a slightly higher speed due to their longer wavelength. It's important to note that the speed of light is a fundamental constant of nature and does not depend on the properties of the specific electromagnetic wave being considered.

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Answer:

Explanation:

Concave mirrors is otherwise known as converging mirrors: These are mirrors that are caved inwards (reflecting surface is on the outside curved part). It is called a converging mirror due to the fact that light converges to a point when it strikes and reflects from the surface of the mirror. This type of mirror is used to focus light; parallel rays that are directed towards it will be concentrated to a point.

For a concave mirror to reflect light with properties that are the same as a spotlight (directed light rays parallel to each other), one has to consider its property to gather light to a point after reflecting. Meaning that, we can achieve the spotlight by locatng the point where the rays will be parallel, this point is called the focal point.

Therefore, the light bulb should be placed at the focal point of the mirror.

The earth is accelerating toward the apple at a rate of 6.2 × 1025 m/s2.

The apple weighs m = 0.37 kg.

The apple's speed when it approaches the earth's surface is 9.8 meters per second.

Earth's mass, M, is 5.98 × 1024 kg.

Using Newton's Second Law of Motion, we may now:

The strength of the force exerted by Earth on the apple is,

F = ma

⇒ F = 0.37 × 9.8

⇒ F = 3.626 N

We are informed that the apple must exert an equal but opposite force on Earth in accordance with Newton's third law of motion.

Therefore, the force exerted by the apple on Earth will be of the following magnitude:

F = 3.626 N

Let "A" be the acceleration of the earth relative to the apple in m/s2.

Thus,

The following will be used to determine how quickly the earth is moving toward the apple:

F = MA

⇒ 3.626 = [5.98 × 10²⁴] × A

⇒ A = 3.626 / [5.98 × 10²⁴]

⇒ A = 0.606 × 10⁻²⁴

⇒ A = 6.06 × 10⁻²⁵ m/s²

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Answer:

D

Explanation:

The acceleration of the car is determined as 0.35 m/s².

The acceleration of the car is calculated by applying the formula for Newton's second law of motion as follows;

F(net) = ma

where;

Fy = F sinθ

200 = F x sin(30)

F = 200 / sin(30)

F = 400 N

The tension in horizontal direction;

Fₓ = 400 N x cos(30)

Fₓ = 346.4 N

The acceleration of the car is calculated as;

a = Fₓ / m

a = 346.4 / 1000

a = 0.35 m/s²

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Given,

Force, F=450 N

Area is

To find

The pressure on the piston

Explanation

The pressure is

Conclusion

The pressure is

Answer:

Wavelength = 0.15 m

Explanation:

The frequency of a microwave oven is 2.00 GHz or \(2\times 10^9\ Hz\).

We need to find the wavelength of the radiation produced by this appliance. We know that the relationship between the frequency and wavelength is given by :

\(c=f\lambda\)

Where,

\(\lambda\) is the wavelength

So,

\(\lambda=\dfrac{c}{f}\\\\\lambda=\dfrac{3\times 10^8}{2\times 10^9}\\\\=0.15\ m\)

So, the wavelength of the radiation produced by this appliance is 0.15 m.

Answer:

A. 336.15g

Explanation:

Sana makatulong

The temperature of a substance is determined by the average kinetic energy of its particles, so Substance X and Substance Y have higher temperatures because their particles have more kinetic energy. The number of particles does not affect temperature. The correct options are (A) and (C).

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Answer:

A stronger force can cause a greater change in velocity.

Explanation:

Forces affect how objects move. They may cause motion; they may also slow, stop, or change the direction of motion of an object that is already moving. Since force cause changes in the speed or direction of an object, we can say that forces cause changes in velocity. Remember that acceleration is a change in velocity.