Physics, 28.06.2019 22:00 chocolate4550

If the 1kg standard body is accelerated by only f1=(3.o)+(4.0) and f2=(-2.0)+(-6.0) then what is fnet(al in unit vector notation and as (b) magnitude and (c) an angle relative to the positive x direction? what are the (d) magnitude and (e) angle of a ?

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Answer from: makrosebud7821

(a) $\vec{F} = 1.0 \vec{i} - 2.0 \vec{j}$

The two forces are:

$\vec{F_1} = 3.0 \vec{i} + 4.0 \vec{j}\\\vec{F_2} = -2.0 \vec{i} -6.0 \vec{j}$

To calculate the net force, we must calculate the resultant of the two vectors, which is obtained by separately summing the components of each vector:

$F_x = 3.0 \vec{i}+(-2.0) \vec{i} = 1.0 \vec{i}\\F_y = 4.0 \vec{j} + (-6.0) \vec{j} = -2.0 \vec{j}$

So, the net force is

$\vec{F} = 1.0 \vec{i} - 2.0 \vec{j}$

(b) 2.24 N

The magnitude of the net force is given by the Pythagorean theorem: it is equal to the square root of the sum of the squares of the single components:

$|F|= \sqrt{F_x^2+F_y^2}=\sqrt{(1.0)^2+(-2.0)^2}=\sqrt{5}=2.24 N$

The angle of the net force, relative to the positive x direction, is equal to the arctangent of the ratio between the vertical component and the horizontal component:

$\theta=tan^{-1} (\frac{F_y}{F_x})=tan^{-1}(\frac{-2.0}{1.0})=-63.4^{\circ}$

(d) 2.24 m/s^2

The mass of the object is m = 1 kg, so according to Newton's second law the acceleration is given by

$\vec{a} = \frac{\vec{F}}{m}$

Since we are interested in the magnitude of the acceleration, we have to take the magnitude of the net force into the calculation:

$|a| = \frac{|F|}{m}=\frac{2.23 N}{1.0 kg}=2.24 m/s^2$

(e) $-63.4^{\circ}$

According to Newton's second law:

$\vec{a} = \frac{\vec{F}}{m}$

The acceleration has the same direction of the force, therefore the angle of the acceleration (measured with respect to the positive x direction) is $-63.4^{\circ}$ .

Answer from: Quest

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:

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If the 1kg standard body is accelerated by only f1=(3.o)+(4.0) and f2=(-2.0)+(-6.0) then what is fne...

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