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
Stella [2.4K]
3 years ago
14

A 4-lb. force acting in the direction of (4, -2) moves an object over 7 ft. from point (0, 4) to (5, -1). Find the work done to

move the object to the nearest foot-pound.
A. 35 ft. - lbs
B. 27 ft.- lbs
C. 18 ft. - lbs
D. 7 ft. - lbs
Mathematics
2 answers:
8090 [49]3 years ago
7 0

Answer:

The work done to move the object is 27 ft-lbs

B is correct.

Step-by-step explanation:

A 4-lb. force acting in the direction of (4, -2).

First we find the unit vector of direction of force.

\hat{a}=\dfrac{4i}{\sqrt{20}}-\dfrac{2j}{\sqrt{20}}

4-lb force acting in direction of vector a

\vec{F}=\dfrac{4}{\sqrt{20}}(4i-2j)

Object move 7 ft from point (0,4) to (5,-1)

Displacement vector whose length 7 ft

\vec{r}=\dfrac{7}{\sqrt{50}}(5i-5j)

Now, we will find workdone by force

W=\vec{F}\cdot \vec{r}

W=\dfrac{4}{\sqrt{20}}(4i-2j)\cdot \dfrac{7}{\sqrt{50}}(5i-5j)

W=\dfrac{28}{\sqrt{1000}}(20+10)

W=26.56\approx 27\text{ ft-lbs}

Hence, The work done to move the object is 27 ft-lbs

Furkat [3]3 years ago
6 0
The answer is 18ft-lbs
You might be interested in
Can someone give me the answer ?!?
Alex17521 [72]

Answer:

25%

Step-by-step explanation:

Probability = # of favorable outcomes / possible outcomes

favorable outcomes is what we want to happen ( throwing more than 3 pitches )

So to find the # of favorable outcomes we must find the frequency that the pitcher throws more than 3 pitches ( note: frequency of throwing 3 pitches is not included)

There are two possible outcomes of the pitcher pitching more than 3 pitches, 4 pitches having a frequency of 15, and 5 pitches which has a frequency of 10

So # of favorable outcomes = 10 + 15 = 25

Now we want to find the # of possible outcomes.

To do so we simply add the frequencies of each possible outcome.

15 + 20 + 40 + 15 + 10 = 100

So there are a total of 100 possible outcomes

Finally to find the probability of the pitcher throwing more than 3 pitches we divide favorable outcomes ( 25) by possible outcomes (100)

Our answer = 25/100 which can be converted into a percentage as 25%

7 0
3 years ago
NEED HELP PLEASE|!!!! ANSWER ASAP!!!!!!
Anastaziya [24]

its bella saves more per chore than sweet tea, because 3.5 x c = the amount of chores bella does. Add 11 to that, and she will get more than Sweet Tea. for Sweet tea, one chore saves her twelve dollars. For Bella, one chore saves her more.

8 0
3 years ago
Evaluate y^5 for y = 1.
kkurt [141]

Answer:

1

Step-by-step explanation:

note that 1^{n} = 1 for any value of n, thus

1^{5} = 1

8 0
3 years ago
Simplify 2x - 8x - 6y + 9 -14 + x + 11y. Thanks!
yarga [219]
-5x+5y-5 is the answer
7 0
3 years ago
Read 2 more answers
What is the least common denominator of 8/9 + 4/7?
SVEN [57.7K]
Do you mean LCM (Least common multiple)
7 0
3 years ago
Read 2 more answers
Other questions:
  • A video game sets the points needed to reach the next level based on the function g(x) = 10(2)x − 1, where x is the current leve
    5·2 answers
  • A farmer has a rectangular field ro plow. The field has an area of 18,963 yards. The field is shown below. Fill in the missing l
    7·2 answers
  • On a vacation trip, the smith family traveled 2,648 miles by car to a lake resort on the return trip they took a shorter route a
    14·1 answer
  • What is the value of X.​
    7·2 answers
  • the greenhouse effect occurs on many planets . if the actual temp of venus is -40 degrees , and the temp of the greenhouse is 80
    11·1 answer
  • Your cookie recipe calls for 3/4 cup of flour. You want to make 3 batches of cookies. Which diagram shows how much flour you nee
    6·1 answer
  • Can someone help me ??
    6·1 answer
  • E help mah brotha pls
    13·2 answers
  • That’s why the words “Member FDIC” are so important. This indicates that your bank is covered by the federal government. If anyt
    10·1 answer
  • Determine the Chromatic Number of the following Graph for all of these.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!