To determine the time it takes to cover 5.00 miles at 9.5 mi/h, you can use the formula Time = Distance / Speed, giving approximately 31.58 minutes.
Explanation:To calculate how long it takes Anya to cover the distance of 5.00 miles, given the speed of a runner, we can use the formula:
Time = Distance / Speed
If a marathon runner averages 9.5 mi/h, we would substitute the values into the formula to find the time:
Time = 5.00 miles / 9.5 mi/h
Time = 0.5263 hours
To convert the time from hours to minutes, we multiply by 60 minutes per hour:
Time = 0.5263 hours × 60 minutes/hour
Time = 31.58 minutes
Therefore, it would take approximately 31.58 minutes for Anya to cover a distance of 5.00 miles at a speed of 9.5 mi/h.
How long would it take to drive around earth's equator? (earth's circumference ≈ 40,000 km if driving at 143km?
Final answer:
To calculate the time it would take to drive around Earth's equator at a speed of 143 km/h, you use the formula t = d/v, resulting in approximately 279.7 hours. This is an ideal, theoretical scenario.
Explanation:
The question is asking how long it would take to drive around the Earth's equator if you were driving at 143 km/h, given that the Earth's circumference is approximately 40,000 km. To solve this, we will use the formula for speed which is v = d/t, where v is the velocity or speed, d is the distance, and t is the time.
To find the time, we rearrange the formula to t = d/v. Plugging in the values, we get t = 40,000 km / 143 km/h. This calculates to approximately 279.7 hours. However, this is an ideal scenario, ignoring factors such as the need for stops, variations in speed, and the impossibility of driving continuously around the equator due to oceans and other geographic barriers.
1. What 2 things can you check prior to starting your car to evaluate if it is safe to drive?
According to statistics, currently there are approximately __________ drug users living in the United States.
A. 22 million
B. 15 million
C. 10 million
D. 5 million
A. 22 Million...........................................................
A 70 kg box is slid along the floor by a 400 N force. The coefficient of friction between the box and the floor is 0.50 when the box is sliding. Find the acceleration of the box
The acceleration of the box of mass 70 Kg sliding along the floor and havin 0.5 coefficient of friction is 0.81 m/s².
We'll begin by calculating the frictional force opposing the motion. This can be obtained as follow:Mass (m) = 70 Kg
Coefficient of friction (µ) = 0.5
Acceleration due to gravity (g) = 9.8 m/s²
Normal reaction (N) = mg = 70 × 9.8 = 686 N
Frictional force (F) =?F = µN
F = 0.5 × 686
F = 343 NThus the frictional force is 343 N.
Next, we shall determine the net force acting on the box. This can be obtained as follow:Force applied (F) = 400 N
Frictional force (Fբ) = 343 N
Net force (Fₙ) =?Fₙ = F – Fբ
Fₙ = 400 – 343
Fₙ = 57 NThus, the net force acting on the box is 57 N
Finally, we shall determine the acceleration of the box. This can be obtained as follow:Mass (m) = 70 Kg
Net force (Fₙ) = 57 N
Acceleration (a) =?Fₙ = ma
57 = 70 × a
Divide both side by 70
a = 57 / 70
a = 0.81 m/s²Therefore, the acceleration of the box is 0.81 m/s².
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What causes a regular reflection?
A. Light waves strike a rough, uneven surface at a 45 degree angle and are reflected back at a 90 degree angle.
B. Parallel light waves strike a smooth, polished surface and reflect back in the same direction.
C. Parallel light waves strike a rough, uneven surface and reflect in different directions.
D. Light waves strike a smooth, polished surface at a 90 degree angle and are reflected back at a 45 degree angle.
Answer:
Option B. Parallel light waves strike a smooth, polished surface and reflect back in the same direction.
Explanation:
Thinking process:
Light possess a dual nature. It has got wave properties as well as particle (electron-like) properties. This means that light travels in pockets or quanta.
When lights hits a smooth shiny surface, it is immediately reflected back. This can be expressed by the wave equation:
[tex]sin i = sin r[/tex]
Where i is the incident ray - the ray that hits the surface
an r is the reflected ray - the ray that leaves the surface.
If the surface is polished and even, it means that the angle of incident is equal to the angle of reflection.
Hence option B is correct.
The number of significant figures in the measurement 0.000 305 kg is
six.
two.
seven.
three.
We have that from the Question"The number of significant figures in the measurement 0.000 305 kg is " it can be said that The number of significant figures in the measurement 0.000 305 kg is
3Option DFrom the Question we are told
The number of significant figures in the measurement 0.000 305 kg is
six. two. seven. three.Generally the rule of significant number state that
Leading zeros are NOT significant.Therefore
We cont all none zero number
We have
X=3
Therefore
The number of significant figures in the measurement 0.000 305 kg is
3Option DFor more information on this visit
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A ball is thrown from ground level so as to just clear wall 4m height at distance 4m from wall and falls 14 m from wall . Velocity of ball ?
When the temperature of a coin is raised by 79 °f, the coin's diameter increases by 1.90 × 10-5 m. if the original diameter is 1.55 × 10-2 m, find the coefficient of linear expansion?
The coefficient of linear expansion of the coin be 1.55 × 10 ^-5 /°f.
What is thermal expansion?The phenomena known as thermal expansion can be seen in solids, liquids, and gases. In this procedure, the application of heat causes an object or body to expand (temperature). The term "thermal expansion" refers to an object's propensity to change its dimensions as a result of heat, including length, density, area, and volume. The substance's kinetic energy increases when it is heated.
Given that:
the original diameter of the coin: l = 1.55 × 10^-2 m.
Increase in temperature: Δt = 79 °f.
Increase in diameter of the coin: Δl = 1.90 × 10^-5 m.
So, the coefficient of linear expansion: α = Δl/(lΔt )
= 1.90 × 10^-5 m/( 1.55 × 10^-2 m × 79 °f)
= 1.55 × 10 ^-5 /°f
Hence, the coefficient of linear expansion be 1.55 × 10 ^-5 /°f.
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What would be your estimate of the age of the universe if you measured a value for hubble's constant of h0 = 30 km/s/mly ? you can assume that the expansion rate has remained unchanged during the history of the universe. express your answer using two significant figures. yr?
If you are riding in a vehicle equipped with a lap belt and also a separate shoulder belt, you are
Riding in a vehicle with a lap belt and a separate shoulder belt provides significant protection in car accidents. The lap belt secures the lower body while the shoulder belt secures the upper body.
Explanation:If you are riding in a vehicle equipped with a lap belt and also a separate shoulder belt, you are using one of the most effective safety measures for passenger vehicles. These belts, when used together, greatly reduce the chance of serious injury or death in a car accident. The lap belt secures your lower body, preventing you from sliding forward or sideways, while the shoulder belt protects your upper body, preventing you from being ejected from the vehicle or hitting the interior elements during a collision.
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Glass is a _____ conductor of heat.
The distance between twin satellites that were originally 150 meters apart are now 300 meters apart. Which best describes the gravitational force between the twin satellites? A) it increased by 1/2 B) it decreased by 1/4 C) it increased by a factor of 2 D) it decreased by a factor of 4
Answer : (B) it decreased by 1/4
Explanation :
It is given that :
The distance between twin satellites that were originally 150 meters apart are now 300 meters apart.
When the satellites are 150 m apart then the gravitational force is :
[tex]F=G\dfrac{m_1m_2}{(150\ m) ^2}[/tex]..........(1)
Similarly, when the satellites are 300 m apart then the gravitational force is :
[tex]F'=G\dfrac{m_1m_2}{(300\ m) ^2}[/tex]...........(2)
From eq (1) and (2)
[tex]\dfrac{F_c}{F_c'}=4[/tex]
[tex]F_c'=\dfrac{F_c}{4}[/tex]
So, the gravitational force between the twin satellites is decreased by 1/4.
Hence, the correct option is (b).
Answer:
B: it decreased by 1/4
Explanation:
If the electric field is 12 v/m in the positive x-direction, what is the potential difference between the origin, (0, 0), and the point (3.0 m, 4.0 m)?
The potential difference between the origin and (3.0 m, 4.0 m) in an electric field of 12 v/m is 36 V, pointing in the direction opposite to the electric field.
Explanation:
The potential difference (ΔV) between two points in an electric field can be calculated using the formula: ΔV = -E x (Xf - Xi), where E is the electric field strength, and Xf and Xi are the final and initial positions, respectively. In this case, the electric field is in the positive x-direction and given as 12 v/m, and the point of interest is (3.0 m, 4.0 m). However, because the electric field is only in the x-direction, the y-coordinate does not affect the outcome.
So, Xf = 3.0 m (the x-coordinate of the point) and Xi = 0 (as we're calculating the potential difference from the origin).
Substituting the given values into the equation, we get ΔV = -12 v/m x (3.0 m - 0) = -36 V.
The negative sign indicates that the potential decreases in the direction of the electric field. So, the potential difference between the origin and the point (3.0 m, 4.0 m) is 36 V, in the direction opposite to the electric field.
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The bearing of a ship from a lighthouse was found to be n14 degrees14°e. after the ship sailed 7.27.2 miles dueâ south, the new bearing was n31 degrees31°e. find the distance between the ship and the lighthouse at each location.
To solve this problem, let us first assign some reference points. Let us say that initial position of the ship is called point A while the final position is called point B. While the position of the light house is called point L. Together they form a triangle.
The angles are:
angle LAB = 14°
angle ABL = (180 – 31)° = 149°
The lighthouse is at L.
The ship sails 7.2 miles to B.
We see that angle angle ALB = 180 – angle LAB – angle ABL
Therefore
angle ALB = 180 – 14 – 149 = 17°
Now in the triangle ABL, we use the Law of Sines:
AL / sin 149 = 7.2 / sin 17
AL = 12.68 miles
BL / sin 14 = 7.2 / sin 17
The question requires using bearings and trigonometry to calculate distances between a ship and a lighthouse at two points in time. We form two right-angled triangles with common sides, representing the initial distance, and apply trigonometric functions to solve the distances.
The question involves finding the distance between a ship and a lighthouse at two different locations using bearings. Initially, the bearing of the ship from the lighthouse is N14°E. After the ship travels 7.2 miles due south, the bearing from the lighthouse becomes N31°E. To solve this, you can create two right-angled triangles sharing a common side (the initial distance from the lighthouse) - the first triangle for the initial position and the second for the position after the ship's southward journey. You can then use trigonometry to solve for the distances.
To find the initial distance, consider the bearing N14°E as the angle from due north. This implies the ship is east of the lighthouse. Apply the cosine of 14° to calculate the adjacent side, which represents the initial distance from the lighthouse to the ship. Similarly, for the new bearing of N31°E, after sailing due south, the ship will be further east. Use the cosine of 31° for calculating the new distance to the lighthouse. These calculations will require the use of a calculator.
Using the new position distance and the southward travel of 7.2 miles, it is also possible to calculate the initial distance to the lighthouse before the ship moved southwards. Add the distances traveled eastward from the two positions of the ship to find this initial distance.
Jack tries to place magnets on the door of his refrigerator. He observes that the magnets don’t stick. He guesses that the door of the refrigerator is made of a nonmagnetic substance. What stage of scientific investigation does his guess represent?
ask questions
construct a hypothesis
explain the results
make observations
Answer:the one above
Explanation:
the one above
The acceleration due to the earth's gravity, in si units, is 9.8 m/s2. in the absence of air friction, a ball is dropped from rest. its speed on striking the ground is exactly 60 m/s. for what time interval was the ball falling?
A 900-N lawn roller is to be pulled over a 5-cm (high) curb. Radius of roller is 25 cm. What minimum pulling force is needed if angle made by handle is (a) 0 deg (b) 30 degrees?
Final answer:
When the handle angle is 0 degrees, no minimum pulling force is needed. When the handle angle is 30 degrees, the minimum pulling force needed is 36,000 N.
Explanation:
To calculate the minimum pulling force needed to pull a 900-N lawn roller over a 5-cm curb, we can use trigonometry and the concept of work. The work done to lift the roller over the curb is equal to the force applied multiplied by the distance moved in the direction of the force. Since the force is perpendicular to the direction of motion when the handle angle is 0 degrees, no work is done.
Therefore, no minimum pulling force is needed. When the handle angle is 30 degrees, the work done is equal to the force applied multiplied by the vertical distance lifted. Using trigonometry, the vertical distance lifted is given by 5 cm multiplied by the sine of 30 degrees, which is 2.5 cm (or 0.025 m). Therefore, the minimum pulling force needed is the work done divided by the distance moved, which is 900 N divided by 0.025 m, equal to 36,000 N.
Compared with a force, a torque involves
You may have noticed that when water boils you can see the bubbles that rise to the surface of the water.. what is inside these bubbles?
The bubbles that form and rise when water boils contain primarily water vapor. When the temperature reaches 100°C, the vapor pressure inside the bubbles equalizes with the atmospheric pressure, causing them to rise. This process is what we observe as boiling.
When water boils, you can see bubbles that rise to the surface. These bubbles contain water vapor. At lower temperatures, like 20°C, the bubbles start with some dissolved air and water vapor. As the temperature rises to boiling point (100°C), the amount of water vapor inside the bubbles increases because the vapor pressure reaches 1.00 atm, equalizing with atmospheric pressure. This causes the bubbles to grow and rise to the surface, where they burst, releasing water vapor into the air.
How much heat transfer occurs from a system, if its internal energy decreased by 150 j while it was doing 30.0 j of work?
Hence the heat transfer that occurs from a system will be -120 J.
What is heat transfer?Heat transfer refers to the movement of heat. The flow of heat across a system's boundary is due to a temperature differential between the system and its surroundings.
The given data in the problem is;
ΔU is the internal energy -150 J
W is the work fon = - 30 J
Q is the heat transfer that occurs from a system
The internal energy of the system is found as;
[tex]\rm \triangle U = Q + W \\\\-150 =Q-30 \\\\ Q=-120 \ J[/tex]
The heat transfer that occurs from a system will be -120 J.
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A plane can fly 600 miles in the same time as it takes a car to go 120 miles. if the car travels 120 mph slower than the plane, find the speed of the plane.
If an engine operates on an input temperature of 800k and an exhaust temperature of 600k, calculate the efficiency of the engine.
Answer:
25.0 %
Explanation:
Water turning into steam represents what kind of change
A railroad freight car with a mass of 29,000 kg is moving at 2.2 m/s when it runs into another car with a mass of 30,000 kg the second car is at rest the cars locked together what is the final velocity
Answer:
1.1 m/s for apex 4.1.6.
Explanation:
i clicked that option and it was right
If there's nothing faster than light, how did the dark get there first
As a solid element melts, the atoms become __________ and they have __________ attraction for one another. more separated, more more separated, less closer together, more closer together, less larger, greater
What is the value of work done on an object when a 10-newton force moves it 30 meters and the angle between the force and the displacement is 25°?
Fluid clutches are used on equipment that is subjected to?
Final answer:
Fluid clutches are used on equipment that is subjected to various loads and forces. In physics, fluid mechanics is the study of how fluids behave under different conditions, including how they transmit forces and pressures. Hydraulic systems, which use fluid clutches, are a key application of fluid mechanics in engineering.
Explanation:
Fluid clutches are used on equipment that is subjected to various loads and forces. In physics, fluid mechanics is the study of how fluids behave under different conditions, including how they transmit forces and pressures. Hydraulic systems, which use fluid clutches, are a key application of fluid mechanics in engineering.
For example, in heavy machinery like backhoes, hydraulic and mechanical lever systems, powered by fluid clutches, are used to transfer forces and lift heavy loads. These systems can increase or decrease the force applied to them by controlling the pressure and area of the fluid.
What is the difference between accurate data and reproducible data?
Answer:
Accuracy is ‘the state of being correct’ and on the other hand precision is ‘the state of being exact.
Explanation:
Accuracy shows the nearness of the measurement with the actual measurement while precision shows the nearness of an individual measurement with other measurements.
Accuracy focuses on the errors caused by the problem in the instrument. while precision is concerned with errors, which occurs periodically with no recognizable pattern.
If the measurement is precise but inaccurate, the result will not be the expected one. And if the result is accurate but imprecise, then there are huge variations in the measurements. And finally, if the actual measurement is neither accurate nor precise, then the result would not have correctness and exactness at the same time.
You place a book on top of a spring and push down, compressing the spring by 10 cm. When you let go of the book, it is pushed up by the spring. Which statement describes what happens to the energy of the spring-book-system?
Answer: The gravitational potential energy of the system increases.
Explanation: