A plane starting at rest at the south end of a runway undergoes a constant acceleration of 1.6 m/s/s for a distance of 1600m before takeoff. What is the time required for takeoff? What is the plane’s velocity at takeoff?

Answers

Answer 1

v^2 = Vi^2 + 2ax
Plugging in the numbers for the variables gives me
v^2 = 0^2 + 2 x 1.6 x 1600
so
v^2 = 5120
sq(5120
V = 71.554 m/s
For part B, all I did was:
t = Vf - Vi / A
Plugging in the numbers for the variables gives me
t = 71.554 - 0 / 1.6
so
t = 44.72 seconds for the plane to take off

Answer 2

Final answer:

The time the plane requires for takeoff, calculated using the equations of motion, is 50 seconds. The plane's velocity at takeoff is 80 m/s.

Explanation:

The subject of your question involves motion in linear dimensions which is a concept in physics. We can solve this using the equations of motion. We can use equation s = ut + 0.5at², where s is the distance, u is the initial velocity, a is the acceleration, and t is the time. Since the plane starts from rest, u = 0. Thus, the equation turns into s = 0.5at².

To find the time required for takeoff, we rearrange the equation to solve for t, giving us t = sqrt(2s/a). Substituting the given values, we find t = sqrt((2 * 1600m)/1.6m/s²) = 50 seconds.

For the plane’s velocity at takeoff, we can use the equation v = u + at where v is the final velocity. Since again the plane starts from rest, u = 0. Substituting the given values, we find the plane's velocity at takeoff to be v = 0 + (1.6m/s² * 50s) = 80 m/s.

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Related Questions

What minimum speed must the rocket have just before impact in order to save the explorer's life?

Answers

Answer: Assuming that I understand the geometry correctly, the combine package-rocket will move off the cliff with only a horizontal velocity component. The package will then fall under gravity traversing the height of the cliff (h) in a time T given by h = 0.5*g*T^2 However, the speed of the package-rocket system must be sufficient to cross the river in that time v2 = L/T Conservation of momentum says that m1*v1 = (m1 + m2)*v2 where m1 is the mass of the rocket, v1 is the speed of the rocket, m2 is the mass of the package, and v2 is the speed of the package-rocket system. Expressing v2 in terms of v1 v2 = m1*v1/(m1 + m2) and then expressing the time in terms of v1 T = (m1 + m2)*L/(m1*v1) substituting T in the first expression h = 0.5*g*(m1 + m2)^2*L^2/(m1*v1)^2 solving for v1, the speed before impact is given by v1 = sqrt(0.5*g/h)*(m1 + m2)*L/m1

What advantages do sports drinks or juices have over water in terms of electrolyte content? Why does this matter for strenuous exercise?

Answers

Sports drinks do offer some benefits when comparing sports drinks vs. water. While water actually works better at fluid replacement, sports drinks are often more appealing to the palate. In other words, people who enjoy the taste of sports drinks may drink more of a sports drink than they would water; this will lead to better hydration.

Sports drinks also contain electrolytes and carbohydrates. While exercising for short periods of time, it is not necessary to replace electrolytes; however, athletes and marathon participants exercising for period of an hour or more can benefit from electrolyte replacement in particular. Carbohydrates offer the body energy. When the body burns calories, it needs carbohydrates to replace energy lost. The longer the workout, the more carbohydrates are needed.

Final answer:

Sports drinks or juices have advantages over water in terms of electrolyte content, as they provide a source of electrolytes that help replenish those lost during strenuous exercise. Electrolytes are minerals that maintain fluid balance and support muscle and nerve function.

Explanation:

In terms of electrolyte content, sports drinks or juices have advantages over water. Electrolytes are minerals that help maintain the balance of fluids in the body and aid in nerve and muscle function. During strenuous exercise, the body loses electrolytes through sweat. Sports drinks or juices contain electrolytes such as sodium, potassium, and magnesium, which help replenish the lost electrolytes and maintain hydration.

Water, on the other hand, does not contain electrolytes. While it is essential for hydration, it does not provide the same replenishment of electrolytes as sports drinks or juices. This is particularly important during strenuous exercise as the loss of electrolytes can lead to muscle cramps, fatigue, and impaired performance.

In conclusion, sports drinks or juices have an advantage over water in terms of electrolyte content because they provide a source of electrolytes that help replenish those lost during strenuous exercise, supporting hydration and maintaining optimal muscle and nerve function.

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For most people, getting 8 to 9 hours of sleep increases concentration, improves physical health, and improves one's mood.

Please select the best answer from the choices provided.

T
F

Answers

That statement is true

Answer: The given statement is true.

Explanation:

It is known that when we get enough sleep then we feel refreshed. Also, sleeping for 8 to 9 hours helps in the improvement of health of a person because more we sleep more our mind remains relaxed.

As a result, we feel good, happy and delighted. Therefore, we are able to focus on our goals with more concentration.

Thus, we can conclude that the statement for most people, getting 8 to 9 hours of sleep increases concentration, improves physical health, and improves one's mood, is true.

While conducting a lab experiment, Ali calculated that 1.20 E6 Joules of heat were needed to melt of 18.5 kilograms of an unknown substance at its melting point. What is the latent heat of fusion of the substance?

Answers

1.20 E^6/18.5=6.48E^4

Final answer:

The latent heat of fusion is the heat required to change a substance from solid to liquid state. In this case, the latent heat of fusion is calculated for an unknown substance when 1.20 E6 Joules of heat melts 18.5 kilograms of it.

Explanation:

The latent heat of fusion of a substance is the amount of heat required to change one mole of a substance from the solid to the liquid state.

In this case, we can calculate the latent heat of fusion by using the formula Q = m * Lf, where Q is the heat required, m is the mass of the substance, and Lf is the latent heat of fusion.

For the given scenario with 18.5 kg of the unknown substance and 1.20 E6 Joules of heat needed, we can calculate the latent heat of fusion as:

Convert 1.20 E6 J to kJ: 1.20 E6 J = 1200 kJ

Calculate Lf: Lf = Q / m = 1200 kJ / 18.5 kg

Lf = 64.86 kJ/kg

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What is convection?

Transfer of heat through objects touching source
Transfer of heat through direct physical contact
Transfer of heat through electromagnetic waves
Transfer of heat through the movement of particles

Answers

Convection is the movement of denser (cooler) materials falling and less dense (hotter) materials rising. This creates a cycle because the materials usually then heat up or cool, which restarts the movement again. Therefore, convection would be the transfer of heat through the movement of particles.

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