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3 years ago

How do you find the maximum acceleration on a graph?

Physics

2 answers:

slavikrds [6]3 years ago

8 0

Answer:

If you have a graph of an object's velocity vs. time, then the acceleration can be found by calculating the slope of the graph

Karo-lina-s [1.5K]3 years ago

5 0

Answer:

If you have a graph of an object's velocity vs. time, then the acceleration can be found by calculating the slope of the graph.

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Observe and compare the forces acting on the turtle and the cat.

Pepsi [2]

Answer:

The forces are balanced on both animals because they are not moving

More importantly than not moving is not accelerating.

Explanation:

5 0

3 years ago

An automobile follows a circular road whose radius is 50 m. Let x and y respectively denote the eastern and northern directions,

IceJOKER [234]

Answer:

The automobile is running at speed of 23.806 meters per second.

Explanation:

From Kinematic we remember that acceleration ( $a$ ) can be defined by this ordinary differential equation in terms of distance:

$a = v\cdot \frac{dv}{ds}$ (1)

Where:

$v$ - Speed of the automobile, measured in meters per second.

$s$ - Distance travelled by the automobile, measured in meters.

If we know that $v = 0.5\cdot s - 0.0025\cdot s^{2}$ , then the equation of acceleration is:

$a = (0.5\cdot s - 0.0025\cdot s^{2})\cdot \left(0.5-0.0050\cdot s\right)$

$a = s\cdot (0.5-0.0025\cdot s)\cdot (0.5-0.0050\cdot s)$

$a = s\cdot (0.0025\cdot s - 0.5)\cdot (0.0050\cdot s-0.5)$

But distance covered by the vehicle is defined by the following formula:

$s = \theta \cdot r$ (2)

Where:

$\theta$ - Arc angle, measured in radians.

$r$ - Radius, measured in radians.

Then, we expand (1) by means of this result:

$a = \theta\cdot r \cdot (0.0025\cdot \theta\cdot r -0.5)\cdot (0.0050\cdot \theta \cdot r-0.5)$

$a = \theta\cdot r \cdot (1.25\times 10^{-5}\cdot \theta^{2}\cdot r^{2}-3.75\times 10^{-3}\cdot \theta\cdot r +0.25)$

$a = 1.25\times 10^{-5}\cdot \theta^{3}\cdot r^{3}-3.75\times 10^{-3}\cdot \theta^{2}\cdot r^{2}+0.25\cdot \theta \cdot r$

And finally we get the following third order polynomial:

$1.25\times 10^{-5}\cdot \theta^{3}\cdot r^{3}-3.75\times 10^{-3}\cdot \theta^{2}\cdot r^{2}+0.25\cdot \theta \cdot r - a = 0$ (3)

If we know that $r = 50\,m$ , $a = 0.6\cdot g$ and $g = 9.807\,\frac{m}{s^{2}}$ , then the polynomial becomes into this:

$1.5625\cdot \theta^{3}-9.375\cdot \theta^{2} +12.5\cdot \theta - 5.886 = 0$ (3b)

This polynomial can be solved analytically by Cardano's Method or by numerical methods. The roots of the polynomial are, respectivelly:

$\theta_{1} \approx 4.365\,rad$ , $\theta_{2} \approx 0.818+i\,0.441\,rad$ , $\theta_{3}\approx 0.818 -i\,0.441\,rad$ , $\theta_{4} \approx 1.563\,rad$

Both first and fourth roots are physically reasonable solution, but the latter represents the angle where automobile begins to skid first. Then, the automobile begins to skid at an angle of 1.563 radians relative to x axis.

The distance travelled by the automobile is: ( $r = 50\,m$ , $\theta \approx 1.563\,rad$ )

$s = (1.563\,rad)\cdot (50\,m)$

$s = 78.15\,m$

Lastly, the speed of the automobile at this location is: ( $s = 78.15\,m$ )

$v = 0.5\cdot s - 0.0025\cdot s^{2}$ (4)

$v = 0.5\cdot (78.15)-0.0025\cdot (78.15)^{2}$

$v = 23.806\,\frac{m}{s}$

The automobile is running at speed of 23.806 meters per second.

7 0

3 years ago

PLEASE HELP:( urgent!!

never [62]

Fnet =ma
1560)(1.3102)
the answer is b

7 0

3 years ago

Energy Transformation and Conservation Explain how different forms of energy are related.

SVETLANKA909090 [29]

Answer:

Energy transformation is when energy changes from one form to another – like in a hydroelectric dam that transforms the kinetic energy of water into electrical energy. While energy can be transferred or transformed, the total amount of energy does not change – this is called energy conservation.

Explanation:

3 0

3 years ago

PLEASE HELP. Really important

Kruka [31]

Explanation:

2) C would need the least effort, because the longer the effort distance, the least the effort applied.

3 0

3 years ago