1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Yanka [14]
3 years ago
12

When the speed of your car is doubled, by what factor does its kinetic energy increase?

Physics
1 answer:
Tju [1.3M]3 years ago
7 0

Answer:

a. 4

Explanation:

Hi there!

The equation of kinetic energy (KE) is the following:

KE = 1/2 · m · v²

Where:

m = mass of the car.

v = speed of the car.

Let´s see how would be the equation if the velocity is doubled (2 · v)

KE2 = 1/2 · m · (2 · v)²

Distributing the exponent:

KE2 = 1/2 · m · 2² · v²

KE2 = 1/2 · m · 4 · v²

KE2 = 4 (1/2 · m · v²)      

KE2 = 4KE

Doubling the velocity increased the kinetic energy by 4.

You might be interested in
A fisherman is fishing from a bridge and is using a "42.0-N test line." In other words, the line will sustain a maximum force of
lara31 [8.8K]

Answer:

(a) 42 N

(b)36.7 N

Explanation:

Nomenclature

F= force test line (N)

W : fish weight  (N)

Problem development

(a) Calculating of weight of the heaviest fish that can be pulled up vertically, when the line is reeled in at constant speed

We apply Newton's first law of equlibrio because the system moves at constant speed:

∑Fy =0

F-W= 0

42N -W =0  

W = 42N

(b) Calculating of weight of the heaviest fish that can be pulled up vertically, when the line is reeled with an acceleration whose magnitude is 1.41 m/s²

We apply Newton's second law because the system moves at constant acceleration:

 m= W/g , m= W/9.8 ,  m:fish mass , W: fish weight g:acceleration due to gravity

∑Fy =m*a

m= W/g , m= W/9.8 ,  m:fish mass , W: fish weight g:acceleration due to gravity

F-W= ( W/9.8 )*a

42-W=  ( W/9.8 )*1.41

42= W+0.1439W

42=1.1439W

W= 42/1.1439

W= 36.7  N

8 0
3 years ago
What is the magnitude of the total acceleration of point A after 2 seconds? The bar starts from rest and has a constant angular
monitta

Answer:

a_total = 2 √ (α² + w⁴) ,   a_total = 2,236 m

Explanation:

The total acceleration of a body, if we use the Pythagorean theorem is

          a_total² = a_T²2 + a_{c}²

where

the centripetal acceleration is

  a_{c} = v² / r = w r²

tangential acceleration

   a_T = dv / dt

angular and linear acceleration are related

         a_T = α  r

we substitute in the first equation

       a_total = √ [(α r)² + (w r² )²]

       a_total = 2 √ (α² + w⁴)

Let's find the angular velocity for t = 2 s if we start from rest wo = 0

        w = w₀ + α t

        w = 0 + 1.0 2

        w = 2.0rad / s

       

we substitute

        a_total = r √(1² + 2²) = r √5

        a_total = r 2,236

In order to finish the calculation we need the radius to point A, suppose that this point is at a distance of r = 1 m

         a_total = 2,236 m

7 0
4 years ago
How does size influence the appearance of a star? Give an example in your response.
vlabodo [156]
The size of the star defines wither of not it is a dwarf star, or a red giant.
5 0
4 years ago
A person hears sounds with a frequency in the range of about 16 Hz to 20000 Hz. What is the wavelength of sound in air and water
Alex17521 [72]

Answer:

v=f×λ

Explanation:

v=f×λ

v is the speed of sound

f is the frequency of sound

λ is the wavelength

The speed of sound in air and water is different, but the frequency can be calculated from the given range above.

HAVE FUN LEARNING!!!( sorry im just to lazy to get the number so...)

4 0
3 years ago
9. A student notices that wearing darker colors in sunlight makes him feel warmer, so he decides to conduct an experiment. He ta
Rama09 [41]

Answer: 4

Explanation:

The dependent variable is the temperature of the water.

3 0
3 years ago
Other questions:
  • Which biomes receive less than 100 cm of rain each year
    9·2 answers
  • Which one of the following states of matter has no definite shape but does have a fixed volume A. Liquid B. Element C. Gas D. So
    7·2 answers
  • Heather and Jerry are standing on a bridge 60 m above a river Heather throws a rock straight down with a speed of 14 m/s. Jerry,
    9·1 answer
  • A particle moving uniformly along the x axis is located at 16.6 m at 0.802 s and at 3.22 m at 2.71 s. Find its displacement. Ans
    8·1 answer
  • Car decelerates uniformly and comes to a stop after 10 s. The car's average velocity during deceleration was 50 km/h. What was t
    15·1 answer
  • PART ONE
    12·1 answer
  • Which is one physical property that all stars have
    8·1 answer
  • When an apple falls towards the earth, the earth moves up to meet the apple . Is this true ? If yes . Why is the earth's motion
    5·1 answer
  • During a lab investigation, students added four 50 g masses to two boxes and arranged the boxes so that they were motionless on
    9·1 answer
  • Which of the following objects has no kinetic energy ?
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!