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MatroZZZ [7]
3 years ago
11

State the Newton's first law of motion in words and in mathematical form.

Physics
1 answer:
Effectus [21]3 years ago
5 0

<em>Newton's First Law</em>

<em>*</em><em> </em><em>Newton's First Law of Motion states that a body will remain at rest or will continue to move at a constant velocity, unless an external force is applied.</em>

<em>*</em><em> </em><em>This means that in order for the acceleration of a body to change, there must be a net force applied to the body. Put another way, if the forces on an object balance, there will be no acceleration (the object will continue at the same speed).So, if we are told that a body is not accelerating (i.e. if it is moving at a constant velocity), we know that the resultant (overall) force in any one direction will be zero.</em>

<em>*</em><em> </em><em> </em><em>I</em><em>t</em><em>s</em><em> </em><em>a</em><em>n</em><em> </em><em>u</em><em>n</em><em>b</em><em>a</em><em>l</em><em>a</em><em>n</em><em>c</em><em>e</em><em>d</em><em> </em><em>f</em><em>o</em><em>r</em><em>c</em><em>e</em><em>,</em>

<em> </em><em>8</em><em>N</em><em> </em><em>a</em><em>c</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>t</em><em>o</em><em>w</em><em>a</em><em>r</em><em>d</em><em>s</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>l</em><em>e</em><em>f</em><em>t</em><em>,</em><em> </em><em>a</em><em>n</em><em>d</em><em> </em><em>2</em><em>0</em><em>N</em><em> </em><em>a</em><em>c</em><em>t</em><em>i</em><em>n</em><em>g</em><em> </em><em>t</em><em>o</em><em>w</em><em>a</em><em>r</em><em>d</em><em>s</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>r</em><em>i</em><em>g</em><em>h</em><em>t</em><em>.</em>

<em>F</em><em> </em><em>=</em><em> </em><em>F</em><em>2</em><em> </em><em>-</em><em> </em><em>F</em><em>1</em>

<em>=</em><em> </em><em>2</em><em>0</em><em>N</em><em> </em><em>-</em><em> </em><em>8</em><em>N</em>

<em>=</em><em> </em><em>1</em><em>2</em><em>N</em>

<em>F</em><em> </em><em>=</em><em> </em><em>m</em><em>a</em>

<em>a</em><em> </em><em>=</em><em> </em><em>F</em><em>/</em><em>m</em>

<em>a</em><em> </em><em>=</em><em> </em><em>1</em><em>2</em><em>N</em><em>/</em><em>5</em><em>k</em><em>g</em>

<em>a</em><em> </em><em>=</em><em> </em><em>2</em><em>.</em><em>4</em><em> </em><em>m</em><em>/</em><em>s</em><em>^</em><em>2</em>

<em>T</em><em>h</em><em>e</em><em>r</em><em>e</em><em>f</em><em>o</em><em>r</em><em>e</em><em>,</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>a</em><em>c</em><em>c</em><em>e</em><em>l</em><em>a</em><em>r</em><em>a</em><em>t</em><em>i</em><em>o</em><em>n</em><em> </em><em>o</em><em>f</em><em> </em><em>t</em><em>h</em><em>e</em><em> </em><em>o</em><em>b</em><em>j</em><em>e</em><em>c</em><em>t</em><em> </em><em>i</em><em>s</em><em> </em><em>2</em><em>.</em><em>4</em><em> </em><em>m</em><em>/</em><em>s</em><em>^</em><em>2</em>

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There is a girl pushing on a large stone sphere. The sphere has a mass of 8200 kgand a radius of 90 cm and floats with nearly ze
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35.1688 seconds

Explanation:

M = Mass of sphere = 8200 kg

R = Radius of sphere = 90 cm

F = Force = 30 N

Moment of inertia is given by

I=\dfrac{2}{5}MR^2\\\Rightarrow I=\dfrac{2}{5}\times 8200\times 0.9^2\\\Rightarrow I=2656.8\ kgm^2

Torque is given by

\tau=I\alpha\\\Rightarrow FR=I\alpha\\\Rightarrow \alpha=\dfrac{FR}{I}\\\Rightarrow \alpha=\dfrac{30\times 0.9}{2656.8}\\\Rightarrow \alpha=0.01016\ rad/s^2

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\theta=\omega_it+\dfrac{1}{2}\alpha t^2\\\Rightarrow 2\pi=0\times t+\dfrac{1}{2}\times 0.01016\times t^2\\\Rightarrow t=\sqrt{\dfrac{2\pi2}{0.01016}}\\\Rightarrow t=35.1688\ s

The time taken to rotate the sphere from rest is 35.1688 seconds

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