While standing at the edge of the roof of a building, you throw a stone upward with an initial speed of 5.55 m/s. The stone subsequently falls to the ground, which is14.7 m below the point where the stone leaves your hand. At what speed does the stone impact the ground? How much time is the stone in the air? Ignore air resistance and take g = 9.81 m/s2.

What is the Impact Speed:____m/s

What is the Elapsed Time:____s

Answers

Answer 1
Let's solve first for the impact speed. The impact speed or velocity of any free-falling body follows the formula written below:

v = √2gy
where
y is the height of the free fall

Now, the length of y includes the distance it took for the upward motion, and the free falling motion that covers the maximum height plus the remaining distance of 14.7 ft. Let's compute first the maximum height reached:

Hmax = v₀²/2g, where v₀ is the initial velocity
Hmax = (5.55 m/s)²/2(9.81 m/s²) = 1.57 m
Thus,
y = 1.57 m + 14.7 m = 16.27 m
v = √2(9.81 m/s²)(16.27 m)
v = 17.87 m/s

For the second question, there are two sections of the total time. The first is the time for the upward motion:
t₁ = 2v₀/g = 2(5.55 m/s)/(9.81 m/s²) = 1.13 s
The second section is the time for the free fall:
t₂ = √2y/g = √2(16.27 m)/9.81 m/s² = 1.82 s
Thus, the total time is:
Time = 1.13 s + 1.82 s = 2.95 s

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the sun is in the middle of the milky way and the planets in our solar system rotate around it

What is the magnitude of the electric field due to the dipole at location a, a distance d?

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Zero. Dipoles do not have an electric field as it is cancelled out by the dipole it's self. However, the general rule for the propagation of an electric field is the inverse square law.

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The resistivity of a silver wire with a radius of 5.04 × 10–4 m is 1.59 × 10–8 ω · m. if the length of the wire is 3.00 m, what is the resistance of the wire?

Answers

5.98 x 10^-2 ohms. Resistance is defined as: R = rl/A where R = resistance in ohms r = resistivity (given as 1.59x10^-8) l = length of wire. A = Cross sectional area of wire. So plugging into the formula, the known values, including the area of a circle being pi*r^2, gives: R = 1.59x10^-8 * 3.00 / (pi * (5.04 x 10^-4)^2) R = (4.77 x 10^-8) / (pi * 2.54016 x 10 ^-7) R = (4.77 x 10^-8) / (7.98015 x 10^-7) R = 5.98 x 10^-2 ohms So that wire has a resistance of 5.98 x 10^-2 ohms.

The resistivity of a silver wire is 5.98 x 10^-2 ohms.

How do find the resistivity of a silver wire?

Resistance is defined as: R = r*l/A where R = resistance in ohms r = resistivity (given as 1.59x10^-8) l = length of wire. A = Cross sectional area of wire.

Substituting into the formula, the known values, including the area of a circle being pi*r^2, gives:

R = 1.59x[tex]10^{-8}[/tex] * 3.00 / ([tex]\pi[/tex] * (5.04 x [tex]10^{-4}[/tex])²)

R = (4.77 x[tex]10^{-8}[/tex]) / (pi * 2.54016 x [tex]10^{-7}[/tex])

R = (4.77 x [tex]10^{-8}[/tex]) / (7.98015 x [tex]10^{-7}[/tex])

R = 5.98 x [tex]10^{-2}[/tex] ohms

The wire has a resistance of 5.98 x 10^-2 ohms.

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Help me please

The velocity of an object increases from -10m/s to -15m/s in 2.0s what is the average acceleration of the object?

-2.5m/s^2
+2.5m/s^2
+12.5m/s^2
-12.5m/s^2

Answers

To find the average acceleration of an object, subtract the initial velocity from the final velocity and divide it by the time taken. In this case, the average acceleration is -2.5 m/s².

The average acceleration of an object can be calculated by using the formula:

acceleration = (change in velocity) / (time taken)

In this case, the change in velocity is  -15 m/s - (-10 m/s) = -5 m/s and the time taken is 2.0 s. So, acceleration = (-5 m/s) / (2.0 s) = -2.5 m/s² which means the correct answer is -2.5 m/s².

Therefore, the first option is correct.

A 1200-kg car starts from rest and accelerates with constant acceleration, traveling 200 m in 9.00 s. what is the force of the road on the car during this acceleration?

Answers

First calculate the acceleration using the formula:

d = v0 t + 0.5 a t^2

where d is distance = 200 m, v0 = initial velocity = 0, t is time = 9s, a = acceleration (?)

200 = 0 + 0.5 * a * 9^2

a = 4.94 m/s^2

 

Force is mass times acceleration, therefore:

F = m a = 1200 kg * 4.94 m/s^2

F = 5,925.93 N

Final answer:

To calculate the force exerted on the car by the road, we first find the acceleration of the car using the formula: a = Δv/Δt. After calculating the acceleration to be approximately 9.88 m/s², we then use Newton's second law, F = ma, which results in the force being approximately 11856 N.

Explanation:

In physics, to find the force exerted, we need to apply Newton's second law of motion which states that the force acting on an object is equal to the mass of that object multiplied by its acceleration (F = ma). Given the mass of the car (1200 kg) and the need to find acceleration, we can use the formula for acceleration: a = Δv/Δt, where Δv is the change in velocity and Δt is the change in time. Initially, the car is at rest so initial velocity is zero and the final velocity can be calculated as v = a*t. Now substituting the values into the equation, 200m = 0.5*a*(9s)^2, we find acceleration a=9.88 m/s². Then, applying Newton's second law F = 1200kg * 9.88m/s² we get the force exerted on the car by the road is approximately 11856 N.

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The nucleus of any atom has which kind of charge?

Answers

It would have positive since it has protons and no electrons. If I helped, gimme a brainliest

Answer:

positive charge

The nucleus contains protons, which have a positive charge equal in magnitude to the electron's negative charge. The nucleus may also contain neutrons, which have virtually the same mass but no charge.

Explanation:

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