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katrin2010 [14]

4 years ago

14

A turnip is dropped from a height of 70 meters. How long does it take to hit the ground?

1 answer:

Bess [88]4 years ago

3 0

Here's a formula for the distance an object falls from rest:

D = (1/2) A T² ... <== MEMORIZE THIS

Distance = (1/2) · (acceleration) · (time²)

On Earth, the acceleration of gravity is always 9.8 m/s². So for a fall that starts with zero speed, the formula says

70 m = (1/2) (9.8 m/s²) (time²)

70 m = (4.9 m/s²) (time²)

Divide each side by (4.9 m/s²) ;

time² = (70 m) / (4.9 m/s²)

time² = (70/4.9) sec²

time = √(70/4.9) seconds

time = 3.78 seconds

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3 years ago

Read 2 more answers

A mass with mass 4 is attached to a spring with spring constant 24 and a dashpot giving a damping 20. The mass is set in motion

aleksandrvk [35]

Answer: $x(t) = 14e^{-2t} - 10e^{-3t}$

Explanation: In a mass-spring-damper system, the differential equation that rules the motion of the mass is: mx" + cx' + kx = 0

Using m = 4, k = 24 and c = 20, we have

4x" + 20x' + 24x = 0

Simplifying, we have

x" + 5x'+ 6x = 0

The characteristic equation of this differential is

$r^{2} + 5r + 6 = 0$

The solutions for the quadratic equation are: $r_{1} = -2$ and $r_{2} = -3$

Hence:

x(t) = $C_{1}e^{-2t} + C_{2}e^{-3t}$

x'(t) = $-2C_{1}E^{-2t} - 3C_{2}e^{-3t}$

To determine the constants, we have the initial conditions x(0) = 4 and

x'(0) = 2, then:

$x(0) = C_{1} + C_{2} = 4\\ C_{1} = 4 - C_{2}$

$x'(0) = -2C_{1} -3C_{2} = 2\\-2(4-C_{2}) -3C_{2} = 2\\C_{2} = -10\\C_{1} = 4 - C_{2}\\C_{1} = 14$

Substituing the constants:

$x(t) = 14e^{-2t} - 10e^{-3t}$

The position function for this system is: $x(t) = 14e^{-2t} - 10e^{-3t}$

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3 years ago

4 newtons, 4 amps, 4 joules, 4 watts, 4 ohms, 4 volts<br> what does I=

Ganezh [65]

Answer:

I $= 4$ amperes

Explanation:

Newton is the unit of force. Hence 4 newton is not the current “I”

Joules is the unit of energy and hence it do not signify current I

Watt is the unit of power i.e the rate of transfer of energy.

Ohm is the unit of resistance produces thereby obstructing the flow of current

And Volts is the unit of voltage or potential difference between two ends of an electric circuit. Thus, it is also does not signifies current.

Thus, I $= 4$ amperes

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3 years ago

a filament lamp is at full brightness with a potential difference of 12v across it. If a current of 1.8A flows through the lamp.

kvasek [131]

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4 years ago

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marissa [1.9K]

Answer:

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3 years ago