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2 years ago

Calculate the Ek of a car which has a mass of 1000 kg and is moving at the rate of 20 m/s

Mathematics

1 answer:

Dvinal [7]2 years ago

6 0

The kinetic energy of the car is $2.0\cdot 10^5 J$

Step-by-step explanation:

The kinetic energy of an object is the energy possessed by an object due to its motion. Mathematically, it is given by:

$E_k = \frac{1}{2}mv^2$

where

m is the mass of the object

v is its speed

For the car in this problem, we have:

m = 1000 kg is the mass of the car

v = 20 m/s is its speed

Substituting into the equation, we find its kinetic energy:

$E_k = \frac{1}{2}mv^2 = \frac{1}{2}(1000)(20)^2=2.0\cdot 10^5 J$

Learn more about kinetic energy:

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2 years ago

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jeka94

Answer:

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Step-by-step explanation:

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2 years ago

PLEASE HELP WILL MARK BRAINLIEST!!!!

MaRussiya [10]

(a) The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b) The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + c

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

tickets and fair admission

(a) The slope of the line is $\frac{3}{4}$

(b) The equation of the line in point-slope form is:

y - 3 = $\frac{3}{4}$ (x + 4)

y = $\frac{3}{4}$ x + 6

The inequality that model the problem is:

20x + 10y ≥ 2000

Step-by-step explanation:

The given is:

1. The county fair charges $1.25 per ticket for the rides.

2. Jermaine bought 20 tickets for the rides and spent a total of $35.00

at the fair

3. Jermaine spent his money only on ride tickets and fair admission

4. The price of the fair admission is the same for everyone

Use y to represent the total cost and x to represent the number of

ride tickets

∵ The price of a ticket = $1.25

∵ The number of tickets = x

∵ y represents the total cost

∵ The total cost = the cost of a ticket × the number of tickets + the price

of the fair admission

∴ y = 1.25 x + c, where c is the fair admission

∵ Jermaine bought 20 tickets

∴ x = 20

∵ Jermaine spent a total of $35.00 at the fair

∴ y = 35

- Substitute these values in the equation in step b

∴ 35 = 1.25(20) + c

∴ 35 = 25 + c

- Subtract 25 from both sides

∴ c = 5

∵ c represents a constant term (y-intercept) in the linear equation

∴ The price of the fair admission for any one is $5

(a)

The variables are:

→ y is the total cost

→ x is the number of ride tickets

→ c is the price of the fair admission

(b)

The linear equation that can be used to determine the cost for

anyone who only pays for ride tickets and fair admission is

y = 1.25 x + 5

(c)

Because the equation is linear which means the value of y depends on

the value of x and the value of c = 5 does not change so the equation

can be used to determine the cost for anyone who only pays for ride

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A line goes through the points (-4 , 3) and (4 , 9)

The rule of the slope of a line is $m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

∵ $x_{1}$ = -4 and $x_{2}$ = 4

∵ $y_{1}$ = 3 and $y_{2}$ = 9

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(a)

The slope of the line is $\frac{3}{4}$

(b)

The point-slope form of the equation is $y-y_{1}=m(x-x_{1})$

∵ $y_{1}$ = 3 and $x_{1}$ = -4

∵ m = $\frac{3}{4}$

∴ y - 3 = $\frac{3}{4}$ (x - -4)

∴ y - 3 = $\frac{3}{4}$ (x + 4)

The equation of the line in point-slope form is:

y - 3 = $\frac{3}{4}$ (x + 4)

(c)

The slope-intercept form of the equation is y = mx + c, where c is the

y-intercept

∵ m = $\frac{3}{4}$

∴ y = $\frac{3}{4}$ x + c

- To find c substitute x and y by the coordinates of one of the two

given points

∵ x and y are the coordinates of point (4 , 9)

∴ 9 = $\frac{3}{4}$ (4) + c

∴ 9 = 3 + c

- Subtract 3 from both sides

∴ c = 6

∴ y = $\frac{3}{4}$ x + 6

The equation of the line in slope-intercept form is:

y = $\frac{3}{4}$ x + 6

Jacob and Sarah are saving money to go on a trip

The given is:

1. They need at least $2000 in order to go

2. Jacob mows lawns and Sarah walks dogs to raise money

3. Jacob charges $20 each time he mows a lawn and Sarah charges

$10 each time she walks a dog

4. x representing the number of lawns mowed and y representing the

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∴ Sarah can earn 10y

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5 0

2 years ago