In object of mass 30 kg is in freefall in a vacuum where there is no air resistance determine the acceleration of the object

1 answer:

3 0

The free fall acceleration due to the Earth's gravity will always be 9.8m/s^2. So, if this question is taking place on Earth, then the acceleration of an object in free fall is 9.8m/^2.

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a flag of mass 2.5 kg is supported by a single rope. A strong horizontal wind exerts a force of 12 N on the flag. Calculate the

tatuchka [14]

The free-body diagram of the forces acting on the flag is in the picture in attachment.

We have: the weight, downward, with magnitude
$W=mg = (2.5 kg)(9.81 m/s^2)=24.5 N$
the force of the wind F, acting horizontally, with intensity
$F=12 N$
and the tension T of the rope. To write the conditions of equilibrium, we must decompose T on both x- and y-axis (x-axis is taken horizontally whil y-axis is taken vertically):
$T \cos \alpha -F=0$
$T \sin \alpha -W=$
By dividing the second equation by the first one, we get
$\tan \alpha = \frac{W}{F}= \frac{24.5 N}{12 N}=2.04$
From which we find
$\alpha = 63.8 ^{\circ}$
which is the angle of the rope with respect to the horizontal.

By replacing this value into the first equation, we can also find the tension of the rope:
$T= \frac{F}{\cos \alpha}= \frac{12 N}{\cos 63.8^{\circ}}=27.2 N$

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A bag of sand has a density of 45 g/cm3 and a mass of 15 kg. How much space does the sand take up?

Aleks [24]

Volume = mass/density

Volume = 15000 g/45 g/cm3 ≈ 333.3 cm3

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kenny6666 [7]

Answer:

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The temperature of water will boil at one hundred degrees celsius when the external pressure is at 17.5 torr. Essentially, it is based off of the vaporizing of heat, as well as the gas constant. This is a matter of solving a physics equation and breaking down the factors that will affect the boiling point.

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The Pacific plate collides with and is subducted under four other crustal plates. The area where this happens has lots of volcanic activity. This area is called the Ring of Fire. This is a place under the Pacific Ocean and it has numerous volcanic eruptions and earthquakes and so this region is called the Ring of Fire. In this place there are about 450 active and dormant volcanoes and it is almost 75 percent of the volcanoes present in our earth.

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