Physics, 27.12.2020 05:40, iddujdjddjsj8537

6. An airplane of mass 1.5 x 104 kg is moving at 60 m/s. The pilot then revs the engine so that the forward thrust by the engines becomes 7.5 x 104 N. If the force of air resistance is 4.0 x 104 N , find the speed of the airplane after it has traveled 800 m. Assume that the plane remains horizontal throughout this flight.

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answered: SMNS625

The speed of the airplane after it has travelled 800 meters is approximately 85.632 meters per second.

Explanation:

From statement, we obtain the equation of equilibrium associated with the airplane:

$\Sigma F = T - R = m\cdot a$ (1)

Where:

- Thrust force from engines, measured in newtons.

- Force of air resistance, measured in newtons.

- Mass of the airplane, measured in kilograms.

- Net acceleration of the airplane, measured in meters per square second.

If we know that $T = 7.5\times 10^{4}\,N$ , $R = 4.0\times 10^{4}\,N$ and $m = 1.5\times 10^{4}\,kg$ , then the net acceleration of the airplane is:

$a = \frac{T-R}{m}$

$a = \frac{7.5\times 10^{4}\,N-4.0\times 10^{4}\,N}{1.5\times 10^{4}\,kg}$

$a = 2.333\,\frac{m}{s^{2}}$

Lastly, the final speed of the airplane is calculated by the following kinematic equation:

$v_{f} = \sqrt{v_{o}^{2}+2\cdot a \cdot \Delta s}$ (2)

Where:

$\Delta s$ - Travelled distance, measured in meters.

$v_{o}$ , $v_{f}$ - Initial and final speeds of the aircraft, measured in meters per second.

If we know that $v_{o} = 60\,\frac{m}{s}$ , $a = 2.333\,\frac{m}{s^{2}}$ and $\Delta s = 800\,m$ , then the final speed of the aircraft is:

$v_{f} = \sqrt{\left(60\,\frac{m}{s} \right)^{2}+2\cdot \left(2.333\,\frac{m}{s^{2}} \right)\cdot (800\,m)}$

$v_{f} \approx 85.632\,\frac{m}{s}$

The speed of the airplane after it has travelled 800 meters is approximately 85.632 meters per second.

answered: Guest

a solenoid is created by wrapping a l = 90 m long wire around a hollow tube of diameter d = 4.5 cm. the wire diameter is d = 0.9 mm. the solenoid wire is then connected to a power supply so that a current of i = 9 a flows through the wire.

randomized variablesl = 90 m

d = 4.5 cm

d = 0.9 mm

i = 9 a

write an expression for the number of turns, n, in the solenoid. you do not need to take into account the diameter of the wire in this calculation.

calculate the number of turns, n, in the solenoid.

write an expression for the length of the solenoid (l2) in terms of the diameter of the hollow tube d.

calculate the length of the solenoid (l2) in meters.

calculate the magnitude of the magnetic field at the center of the solenoid in teslas.

explanation:

answered: Guest

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