The resistance of a wire depends on

Two identical2,000-kg cars travel each at 50.0 km/h in directions perpendicular to one another. The cars crash and form asingle

Firdavs [7]

Answer:

0Joules

Explanation:

Kinetic energy is the energy possessed by a body by virtue of its motion. It is expressed mathematically as;

K.E = 1/2mv² where

m is the mass of the object

v is the velocity

Given mass of the cars = 2000kg

Velocity = 50km/hr = 50000m/3600s

Velocity = 13.89m/s

Kinetic energy of the 2000kg identical cars traveling at a speed of 13.89m/s before collision is given as;

K.E = 1/2 × 2000 × 13.89²

K.E = 192,932.1Joules

Their individual kinetic energy before collision is 192,932.1Joules

Their total kinetic energy before collision will be 192,932.1+192,932.1

= 385,864.2Joules

To get the kinetic energy of the bodies after collision, we must first know their common velocity after collision.

According to the conservation law which states that 'the sum of momentum of bodies before collision is equal to the sum of momentum of the bodies after collision.

Momentum = mass × velocity

Before collision, momentum of each bodies will be;

2000 × 13.89

= 27,780kgm/s

After collision their momentum will be;

(2000+2000)v

= 4000v kgm/s²

Using the law to calculate v;

27780+27780 = 4000v

55,560 = 4000v

v = 55,560/4000

v = 13.89m/s

Their KE after collision will then be;

KE = 1/2(4000)×13.89²

KE(after) = 385,864.2Joules

Energy lost due to collision will be KE(before collision) - KE(after collision)

Energy lost due to collision = 385,864.2-385,864.2

Energy lost after collision is 0Joules which shows that no energy was lost after collision.

3 0

3 years ago

A cylindrical block of mass M=50kg and height h=0.2m is hanging on a rope and is in equilibrium. Any difference in atmospheric p

agasfer [191]

Answer:

$\Delta P = 1961.4\,Pa$

Explanation:

The difference of pressure is given by gauge pressure:

$\Delta P = \rho_{w}\cdot g \cdot \Delta h$

$\Delta P = \left(1000\,\frac{kg}{m^{3}} \right)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\cdot (0.2\,m)$

$\Delta P = 1961.4\,Pa$

8 0

4 years ago

Read 2 more answers

Ice wedging is brought about by ____.

grigory [225]

<span>Ice wedging is caused by water freezing and thawing. During this process of conversion of the water into ice the water is expanded and crack in the ground is formed. These cracks are formed duing the winter, when the water freezes, expands and the enlarges the cracks. In summer, when the ice melts more water is accumulated in the cracks and the process repeats.</span>

7 0

3 years ago

A 15 m ladder with a mass of 51 kg is leaning against a frictionless wall, which makes an angle of 60 degrees with the horizonta

timofeeve [1]

Answer:

Explanation:

Given that, .

Mass of ladder is 51kg

Then, it weight is

WL = mg = 51 × 9.81 = 500.31N

This weight will act at the midpoint of the ladder

Length of ladder is 15m

The ladder makes an angle 55°C with the horizontal

An object whose mass is 81kg is at 4m from the bottom of the ladder

Then, weight of object

Wo = mg = 81 × 9.81 = 794.61 N

Using newton second law

Check attachment

Ng is normal force on the ground

Ff is the horizontal frictional force

Nw Is the normal force on the wall

ΣFy = 0

Ng = Wo + WL

Ng = 794.61 + 500.31

Ng = 1294.92 N

Also

ΣFx = 0

Ff — Nw = 0

Then,

Ff = Nw

Now taking moment about point A.

Check attachment

using the principle of equilibrium

Sum of clockwise moment equals to sum of anti-clockwise moment

Also note that the Normal force on the wall is not perpendicular to the ladder, so we will resolve that and also the weights of ladder and weight of object

Clockwise = Anticlockwise

Wo•Cos60 × 4 + WL•Cos60 × 7.5 = Nw•Sin60 × 15

794.61Cos60 × 4 + 500.31Cos60 × 7.5 = Nw × Sin60 × 15

1589.22 + 1876.163 = 12.99•Nw

3465.383 = 12.99•Nw

Nw = 3465.383 / 12.99

Nw = 266.77 N

Since, Nw = Ff

Then, Ff = 266.77N

the horizontal force exerted by the ground on the ladder is 266.77 N

8 0

3 years ago

Read 2 more answers

Can a compound be separated by physical means?

Julli [10]

No, it is not possible.
A compound is a substance or material constituting of two or more elements that have been chemically combined together to form a new, different substance

Any elements that have been joined together chemically can only be separated back into their constituent elements by chemical means because the bonds holding them together can only be broken using chemical means.

A good example is sodium chloride, table salt. Poisonous chlorine gas and toxic sodium metal react together whereby sodium loses one electron which chlorine readily accepts and in the process an ionic bond is formed between the two resulting in a totally new, harmless compound , sodium chloride.

Only through electrolysis can sodium chloride be separated back into sodium and chlorine gas. No physical means can be used to do that.

3 0

4 years ago