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Phoenix [80]
3 years ago
9

Vector sum of 15 m, East and 9 m, West is 24 m, East. True False

Physics
2 answers:
Natasha2012 [34]3 years ago
8 0

Answer:

False.

Explanation:

The sum of two vectors is given by :

S = a + b

As we know that vectors have both magnitude and direction. Let us consider that East points in +x axis and west points in -x axis. Let the sum is given by S. So,

S = 15 m + (-9 m)

S = 6 meters

So, the vector sum of 15 m, East and 9 m, West is 6 m not 24 m. Hence, the given statement is false.

Firlakuza [10]3 years ago
7 0

Answer:

False

Explanation:

Because when you go through east

( +x axis ) then you go to west ( -x axis )

You will subtract -9 from +15

it's become +6

( I talk about the displacement not distance) ( West = - East )

I hope that it's a clear ") .

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(b) If the wire passes through the center of the coil but it is perpendicular to the plane of the wire, the net flux through the coil is still zero.
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3 years ago
A 2kg mass is initially at rest on a frictionless surface. A 45N force acts at an angle of 300
raketka [301]

Answer:

a) The work done by the force is 136.400 joules.

b) The speed of the mass at the end of the 3.5 meters is approximately 11.679 meters per second.

Explanation:

The correct statement is shown below:

<em>A 2-kg mass is initially at reat on a frictionless surface. A 45 N force acts at an angle of 30º to the horizontal for a distance of 3.5 meters:</em>

<em>a)</em><em> Find the work done by the force.</em>

<em>b)</em><em> Find the speed of the mass at the end of the 3.5 meters.</em>

a) Given that a external constant force is acting on the mass on a frictionless surface, the work done by the force (W_{F}), measured in joules, is:

W_{F} = F\cdot \Delta s \cdot \cos \theta (1)

Where:

F - External constant force exerted on the mass, measured in newtons.

\Delta s - Horizontal travelled distance, measured in meters.

\theta - Direction of the external force regarding the horizontal, measured in sexagesimal degrees.

If we know that F = 45\,N, \Delta s = 3.5\,m and \theta = 30^{\circ}, then the work done by the force is:

W_{F} = (45\,N)\cdot (3.5\,m)\cdot \cos 30^{\circ}

W_{F} = 136.400\,J

The work done by the force is 136.400 joules.

b) The final speed of the mass at the end ot the 3.5 meter is calculated by means of the Work-Energy Theorem, which means that the work done on the mass is transformed into a translational kinetic energy. That is:

W_{F} = \frac{1}{2}\cdot m \cdot (v_{2}^{2}-v_{1}^{2}) (2)

Where:

m - Mass, measured in kilograms.

v_{1}, v_{2} - Initial and final speeds of the mass, measured in meters per second.

If we know that W_{F} = 136.400\,J, m = 2\,kg and v_{1} = 0\,\frac{m}{s}, then the final speed of the mass is:

\frac{2\cdot W_{F}}{m} = v_{2}^{2}-v_{1}^{2}

v_{2}^{2} =v_{1}^{2}+\frac{2\cdot W_{F}}{m}

v_{2} =\sqrt{v_{1}^{2}+\frac{2\cdot W_{F}}{m} }

v_{2} =\sqrt{\left(0\,\frac{m}{s} \right)^{2}+\frac{2\cdot (136.400\,J)}{2\,kg} }

v_{2} \approx 11.679\,\frac{m}{s}

The speed of the mass at the end of the 3.5 meters is approximately 11.679 meters per second.

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