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nadezda [96]
3 years ago
12

Analysis of the relationship between the fuel economy​ (mpg) and engine size​ (liters) for 35 models of cars produces the regres

sion model ModifyingAbove mpg with caret equals 36.44 minus 3.829 times Engine size. If a car has a 5 liter​ engine, what does this model suggest the gas mileage would​ be?
Physics
1 answer:
kvasek [131]3 years ago
8 0

Answer:

Gas mileage is 17.29

Explanation:

Given data:

The total number of the model is 35

The total size of the engine is 5 ltr

The regression model is given as

36.44 - 3.829\times engine\ size

From the information given in question we have

Regression equation is : model- mpg = 36.44 - 3.829\times engine\ size

Therefore for engine capacity of 5 liters;

Gas mileage = 36.44 - 3.829\times 5  = 17.29

Gas mileage is 17.29

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The maximum energy a bone can absorb without breaking is surprisingly small. For a healthy human of mass 60 kg60 kg, experimenta
netineya [11]

Answer:

<em>the maximum height a man can jump from and land rigidly upright on both feet without breaking his legs is 0.34 m</em>

<em></em>

Explanation:

Mass of a healthy man = 60 kg

energy the bone can take without breaking = 200 J

If a healthy man jumps from a height 'h', he falls with an energy equal to the potential energy due to his initial height above the ground.

initial potential energy of the healthy man = mgh

where m = mass of the man

g = acceleration due to gravity = 9.81 m/s^2

h = the height above ground

==> PE = 60 x 9.81 x h = 588.6h

If we assume that all energy is absorbed in the leg bones in a rigid landing, then we can safely say that this calculated PE for a healthy man is equal to the energy his bone can absorb in the jump without breaking.

equating, we have

200 = 588.6h

<em>the maximum height a man can jump from without breaking his legs = 200/588.6 = 0.34 m</em>

When people jump from a height, the sudden deceleration to zero can impact a big force on the leg bones, shattering them. If the time spent in decelerating to zero is increased, the overall force on the leg bones is reduced greatly.

<em>Bending the knees gradually on landing from a jump from a height, and then rolling increases the time spent decelerating, and reduces the impact force on the legs due to the landing</em>. If you observe carefully you will see that this is what professional stunts men and acrobats do when they jump from a height.

5 0
2 years ago
A car with a mass of 1100kg is moving in a circular curve at a uniform velocity of 15m/s
Dmitrij [34]
Centripetal force = (mv^2)/r
so r = (mv^2)/ force = 246500 / 1100 = 224 m
7 0
2 years ago
Calculate the number of images formed by two plane mirrors inclined at angel of 18 to each other
allochka39001 [22]

Answer:

please give me brainlist and follow

Explanation:

Formula for number of images formed by two plane mirrors incident at an angle θ is n = 360∘θ. If n is even, the number of images is n-1, if n is an odd number of images.

4 0
3 years ago
A man starts from rest and accelerates at 4.00 m/s2. If he covers a distance of 525 m, how long does he accelerate?
rosijanka [135]

Answer:

16.2 s

Explanation:

Given:

Δx = 525 m

v₀ = 0 m/s

a = 4.00 m/s²

Find: t

Δx = v₀ t + ½ at²

525 m = (0 m/s) t + ½ (4.00 m/s²) t²

t = 16.2 s

5 0
2 years ago
two forces x and y are acting at 120 degrees to each other, if the magnitude are 8N and 10N respectively determine their resulta
Ber [7]

The resultant force of both forces is 15.62 N.

<h3 /><h3>What is resultant?</h3>

The Resultant of forces is a single force obtained when two or more forces are combined.

To calculate the resultant of the force, we use the formula below.

Formula:

  • R = √[a²+b²-2abcos∅]..................... Equation 1

Where:

  • R = Resultant of the forces.
  • ∅ = Angle between both forces

From the question,

Given:

  • a = 8 N
  • b = 10 N

Substitute these values into equation 1

  • R = √[8²+10²-2×8×10cos120°]
  • R = √[64+100-160cos120°]
  • R =√ [164-160(-0.5)]
  • R = √[164+80]
  • R = √(244)
  • R = 15.62 N

Hence, the resultant force of both forces is 15.62 N.

Learn more about resultant force here: brainly.com/question/25239010

#SPJ1

8 0
2 years ago
Read 2 more answers
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