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
Molly read a few books each week during the summer. How many books did she read over four weeks<br>​
anastassius [24]
Is there a specific amount of books she read ?
7 0
3 years ago
Could someone please check the Answer to my Math problem, Thank you.
denis-greek [22]
Y=6 looks good to me hope you get an A
8 0
3 years ago
PLEASE HELP ME ANSWER THIS FAST! REWARDING THE MOST POINTS FOR BEST ANSWER!!!!!!!!!!
uysha [10]

Answer:

           \large\boxed{\large\boxed{\$ 17.60/hour}}

Explanation:

The <em>profit</em> will be the revenue less the cost.

The revenue will be the price times the number of items sold. <em>The price is $40 the piece</em>. Work with a piece.

  • Revenue = $40

The total cost of a piece is the sum of the <em>cost of the supplies</em>, the s<em>eller's fees</em> and the <em>shipping costs</em> of a piece:

  • Cost of supplies: $8.00
  • Seller's fee: 9% of $40 = 0.09 × $40 = $3.60
  • Shipping costs: $2.00
  • Total cost = $8 + $3.60 + $2 = $13.60

Profit = Revenue - Cost = $40 - $13.60 = $26.40

To find the <em>hourly profit</em> you must divide the profit of a piece by the <em>hours of labor</em> to make a piece.

  • Hourly profit = $26.40/1.5hour = $17.60/hour
3 0
3 years ago
Andrea deposited 138 dollars into her bank account. Write an expression representing Andrea's bank account.
Fiesta28 [93]
Y=x+138. Since $138 is added, that will be the equation (expression) x= the amount she had before and y=her current amount after the deposit.
8 0
4 years ago
11 is what percentage of 16? Round the nearest tenth.
mylen [45]

Answer:

.69, but you can round it to .70 because of the 9

Step-by-step explanation:

70%

7 0
3 years ago
Read 2 more answers
Other questions:
  • The governor of state A earns 50, 440 more than the governor of state B. If the total of their salaries is $283,910, can you fin
    11·1 answer
  • Negitive 4/5 - 7/8 pls help confused about this
    9·1 answer
  • Find the circumference and area of a circle with a diameter of 22 inches. Leave your answers in terms of pi.
    6·1 answer
  • SOMEONE PLZ HELP ! I am stuck on this and I don’t know how to do it someone please help, thank you !
    8·1 answer
  • Which two numbers should be placed in the blanks below so that the difference between consecutive numbers is the same?
    10·1 answer
  • How many minutes are there in 4 1/4<br> hours?<br> mins<br> Pls help
    5·1 answer
  • A class collects $218.43 for a field trip. If there are 27 students in the class, what is the average amount of money each stude
    5·1 answer
  • ZA and ZB are vertical angles. If mZA = (3.C – 9)° and m B = (x+3)°, then find the value of x.​
    7·1 answer
  • For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 1
    9·2 answers
  • At an ice cream parlor, ice cream cones cost $1.10 and sundaes cost $2.35. One day, the receipts for a total of 172 cones and su
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!