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ch4aika [34]
3 years ago
15

A 10 kg blue cart moving to the right at 25 m/s collides with a 17 kg red cart moving in the opposite direction at 16 m/s. If, a

fter the collision, the blue cart's velocity is reduced to 10 m/s, how fast and in what direction is the red cart moving?
Physics
1 answer:
scoray [572]3 years ago
3 0

Answer:

24.8m/s

Explanation:

Given data

m1= 10kg

u1=25m/s

m2=17kg

u2=16m/s

v1=10m/s

v2=??

Applying the conservation of linear momentum

m1u1+m2u2=m1v1+m2v2

substitute

10*25+17*16=10*10+17*v2

250+272=100+17v2

522=100+17v2

522-100=17v2

422=17v2

Divide both sides by 17

v2= 422/17

v2= 24.8 m/s

Hence the velocity of the red cart is 24.8m/s in the opposite direction of the blue cart

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The daily average insolation on the earth surface is approximately 6 kWh/m2 (ignoring cloudy weather). If a commercially availab
miv72 [106K]

Answer:

The area is 15.502 km².

The fraction is \dfrac{31}{218500}

Explanation:

Given that,

Daily average insolation = 6 kWh/m²

Efficiency = 20%

Population  = 324 million

Per capita power = 1378 watts

Area of tennessee = 109250 km²

We need to calculate the daily power required

Using given data

daily\ power=population\times Per\ capita\ power

Put the value into the formula

daily\ power = 324\times10^{6}\times1378

daily\ power=4.4647\times10^{11}\ watts

daily\ power=4.4647\times10^{8}\ kW

We need to calculate the total energy per day

Using given data

E=6\tiimes24

E=144\ kW/m^2

We need to calculate the out of total energy

Using energy and efficiency

E'=E\times\eta

E'=144\times\dfrac{20}{100}

E'= 28.8\ kW/m^2

We need to calculate the area

Using formula of area

A=\dfrac{daily\ power}{out\ of\ energy}

Put the value into the formula

A=\dfrac{4.4647\times10^{8}}{28.8}

A=15.502\ km^2

We need to calculate the fraction of Tennessee that is required to power

Using given data

fraction =\dfrac{Area}{tennessee}

Put the value into the formula

fraction =\dfrac{15.502}{109250}

fraction=\dfrac{31}{218500}

Hence, The area is 15.502 km².

The fraction is \dfrac{31}{218500}

6 0
4 years ago
A cheetah goes from 0m/s to 25m/s in 2.5 s. What is the cheetah's rate of acceleration?
RUDIKE [14]

Answer:

10 m/s²

Explanation:

Acceleration: This the rate of change of velocity. The unit of acceleration is m/s²

From the question,

a = (v-u)/t.................... Equation 1

Where a = acceleration of the cheetah, v = final velocity of the cheetah, u = initial velocity of the cheetah, t = time.

Given: u = 0 m/s, v = 25 m/s, t = 2.5 s.

Substitute these values into equation 1

a = (25-0)/2.5

a = 25/2.5

a = 10 m/s²

Hence the acceleration of the cheetah = 10 m/s²

6 0
3 years ago
The density of lead is 11.3 g/cm3. what mass of lead is required to make a 1.00 cm3 fishing sinker?
Elza [17]

The mass of lead required to make a 1.00 cm3 fishing sinker is 11.3g.

What is mass?

Mass is a metric used in physics to express inertia, a fundamental characteristic of all matter. A mass of matter's resistance to altering its direction or speed in response to the application of a force is what it essentially is. The change that an applied force produces is smaller the more mass a body has.

Given :

Density of lead = 11.3 g/cm3

Volume of  sinker  =  1.00 cm3

One of a substance's attributes is density, which is calculated by dividing the mass by the volume. Mathematically:

Density : Mass / volume

therefore after putting the values,

mass= 11.3g

To learn more about density click on the link below:

brainly.com/question/18939565

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8 0
2 years ago
King crimson vs DIO? for science of course. and for an essay
torisob [31]

Answer:

king crimson

Explanation:

bc

4 0
3 years ago
Read 2 more answers
Describe the conditions necessary for equilibrium on a balance.
tia_tia [17]

Answer:

Explanation:

A body under concurrent forces (concurrent forces are forces with their line of action acting at a point) is said to be in equilibrium if the sum total of the forces acting on the body is zero.

For forces acting on a balance, the sum of upward forces and the downward forced acting on the balance must be equal for the balance to be in equilibrium.

Also the sum of clockwise moment must be equal to the sum of anticlockwise moment acting on the balance.

Moment is the product of force and the perpendicular distance from the force to the pivot.

7 0
4 years ago
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