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atroni [7]
4 years ago
6

Inertia ____.

Physics
1 answer:
OlgaM077 [116]4 years ago
4 0
The correct answer is (c.) resists a change in motion of an object. Inertia basically resists any physical changes in an object in terms of its state. As stated in the Newton's first law of motion or also known as law of inertia, an object that is at rest will stay at rest and an object that is in motion will stay in motion. In short, an object will keep doing what it is already doing UNLESS net force is acted upon it,
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An anchor with a density of 700 lb/ft3 tied to a rope is submerged in water (but is not touching the bottom). It has a volume of
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Answer:

Explanation:

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Density of anchor \rho _a=700\ lb/ft^3

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. A block of mass 4.0 kg on a spring has displacement as a function of time given by, x (t) = (1.0 cm) cos [(2.0 rad/s) t + 0.25
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Answer and Explanation:

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x(t)=1cos(2t+0.25)\\x(0.5)=cos(2*0.5+0.25)=cos(1+0.25)=cos(1.25)=0.3153223624\approx0.31cm

2. The period of motion T can be calculated as:

T=\frac{2\pi}{\omega}

Where:

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T=\frac{2\pi}{2}=\pi\approx3.14s

3. The angular frequency can be expressed as:

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4. Find the derivate of x(t):

\frac{dx}{dt} =v(t)=-2sin(2t+0.25)

Now, the sine function reach its maximum value at π/2 so:

2t+025=\frac{\pi}{2}

Solving for t:

t=\frac{\frac{\pi}{2} -0.25}{2} =0.6603981634s

Evaluating v(t) for 0.6603981634:

v(0.6603981634)=-2sin(2*0.6603981634+0.25)=-2sin(\frac{\pi}{2} )=-2*1=2

So the maximum speed of the block is:

v(0.6603981634)=2cm/s=0.02m/s

In the negative direction of x-axis

5. The force is given by:

F=kx

The cosine function reach its maximum value at 2π so:

2t+0.25=2\pi

Solving for t:

t=\frac{2\pi-0.25}{2} =3.016592654s

Evaluating x(t) for 3.016592654:

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F=16*0.01=0.16N

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