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
tatyana61 [14]
3 years ago
6

A single conservative force vector F = (4.0x - 12)i hat N where x is in meters, acts on a particle moving along an x axis. The p

otential energy U associated with this force is assigned a value of 20 J at x = 0. (a) Write an expression for U as a function of x, with U in joules and x in meters.
Mathematics
1 answer:
serious [3.7K]3 years ago
7 0

Answer:

(4.0x - 12)i . (5/3)i

Step-by-step explanation:

Potential energy = Workdone

Workdone = Force x distance

Force = F = (4.0x - 12)i  N

Workdone = 20J

At  x= 0

F = -12i

/F/= 12

Workdone = Force  x distance

20  =   12 x   distance

Distance =  20/12

               =  5/3

In the vector form  distance is written as (5/3)i

Since Workdone/ Energy is scalar, U can be expressed as a dot product of  the vectors of Force and distance :

(4.0 x - 12)i . (5/3)i

You might be interested in
The cooper family owns a luxury sedan and a compact car. The fuel tank capacity of the luxury sedan 9s 22.45 gallons and that of
Viefleur [7K]

Answer:

13.75\ gal

Step-by-step explanation:

we know that

To find out the difference In the fuel tank of the two cars, subtract the fuel tank capacity of the compact car from the fuel tank capacity of the luxury sedan

so

22.45-8.7=13.75\ gal

4 0
4 years ago
Maria bought 12.5 gallons of gasoline. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the numbe
allochka39001 [22]

Answer:

47.5

Step-by-step explanation:

7 0
3 years ago
Help me please.... #5
fiasKO [112]
48+40 and 88-40
38+20 and 58-20
38+30 and 68-30

7 0
4 years ago
Question 8
LiRa [457]

Answer:

I’m pretty sure it’s 23

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What’s the area formula, of 48m
ra1l [238]

Answer:

The area formula of a circle is A=\pi* r^2 where r is the radius and in this case our r is 48 m.  So we would just plug in 48 m into r which would get squared and then multiplied by pi to give us 7,238.23\ m.

<u><em>Hope this helps!  Let me know if you have any questions</em></u>

6 0
2 years ago
Read 2 more answers
Other questions:
  • Many fans have never been to the stadium and only listen to games on the radio.
    13·1 answer
  • Theo fills a large box with boxes of staples. The volume of each box of staples is 120 cu cm. Estimate the volume of the large b
    7·1 answer
  • A city has a population of 2,549,786 people.
    9·1 answer
  • What is the solution set of the inequality 15y-9&lt;36
    14·2 answers
  • Rita and Tina each make $11 an hour working as cashiers at a supermarket. Last week, Rita worked r hours while Tina worked t hou
    8·2 answers
  • Jackson’s car was making a rumbling noise for two weeks. He decided to take it to the mechanic to get it checked out. To diagnos
    7·1 answer
  • What is the sum of the digits of the first 99 counting numbers?
    7·1 answer
  • The graph below shows the solution to which system of inequalities?
    7·1 answer
  • Put this is y-intercept form 5x + 4y = -4
    15·2 answers
  • A game has 19 more red cards than blue cards. The game has 43 red cards. How many blue cards does the game have?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!