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iVinArrow [24]
3 years ago
6

The driver of a 810.0 kg car decides to double the speed from 23.6 m/s to 47.2 m/s. What effect would this have on the amount of

work required to stop the car, that is, on the kinetic energy of the car? KEi= × 105 J KEf= × 105 J times as much work must be done to stop the car.
Mathematics
1 answer:
Setler [38]3 years ago
8 0

Answer:

  • KEi = 2.256×10^5 J
  • KEf = 9.023×10^5 J
  • 4 times as much work

Step-by-step explanation:

The kinetic energy for a given mass and velocity is ...

  KE = (1/2)mv^2 . . . . . m is mass

At its initial speed, the kinetic energy of the car is ...

  KEi = (1/2)(810 kg)(23.6 m/s)^2 ≈ 2.256×10^5 J . . . . . m is meters

At its final speed, the kinetic energy of the car is ...

  KEf = (1/2)(810 kg)(47.2 m/s)^2 ≈ 9.023×10^5 J

The ratio of final to initial kinetic energy is ...

  (9.023×10^5)/(2.256×10^5) = 4

4 times as much work must be done to stop the car.

_____

You know this without computing the kinetic energy. KE is proportional to the square of speed, so when the speed doubles, the KE is multiplied by 2^2 = 4.

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Answer:

The vertex angle is 180-(60+75)=45.

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Step-by-step explanation:

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3 years ago
Catarina is buying supplies for a party. She plans to spend at least $100 on food and at least $50 on party favors. She can spen
harkovskaia [24]

Answer:

food \geq 100

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3 years ago
How much 78 octane gas and 91 octane gas should be blended to make 13 gallons of 85 octane gas
Tatiana [17]
13 x 85 = 1105
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5 0
3 years ago
Read 2 more answers
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the numbe
Thepotemich [5.8K]

Answer:

 5.93 years

Step-by-step explanation:

The continuous compounding formula tells you the amount after t years will be ...

  A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years

  7400 = 5500e^(0.05t)

  ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs

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It will take about 5.93 years for $5500 to grow to $7400.

8 0
3 years ago
Given f(x) and g(x) = f(k⋅x), use the graph to determine the value of k.
rewona [7]
Step 1
Find the equation of f(x)
we have the points
(-10,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 2
Find the equation of g(x)
we have the points
(-2,-6) and (0,4)
Find the slope m

The function in slope intercept form is equal to

we have

-----> the point (0,4) is the y-intercept
substitute

step 3
Find the value of k
we have

-----> equation A
-----> equation B
----> equation C
substitute equation A and equation C in equation B and solve for k

3 0
3 years ago
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