Mathematics High School

Suppose (ideally) a hammer claw moves a distance of 0.10 meters to remove a nail. If a resistance force of 1500 N is exerted by the claw, and you move the handle of the hammer 0.5 meters, what is the effort force?

Answers

Answer 1

Answer:

7500 N

Step-by-step explanation:

Given that,

A hammer claw moves a distance of 0.10 meters to remove a nail.

Resistance force, F = 1500 N

The person move the handle of the hammer 0.5 m

We need to find the effort force. Let it is F'. The mechanical advantage is given by :

[tex]m=\dfrac{effort}{resistance}=\dfrac{d_i}{d_o}[/tex]

Where [tex]d_i\ \text{and}\ d_o[/tex] are input and output distance respectively.

[tex]m=\dfrac{F'}{F}=\dfrac{0.1}{0.5}\\\\\dfrac{1500}{F}=\dfrac{0.1}{0.5}\\\\\dfrac{1500}{F}=0.2\\\\F=7500\ N[/tex]

So, the effort force is 7500 N.

Related Questions

What is the equation of this graphed line?
Enter your answer in slope-intercept form.

Please answer quickly, whoever answers correctly I will give Brainliest, thank you.

Answers

Slope: (y2-y1)/(x2-x1)
Points: (-4,-6), (2,6)
(6+6)/(2+6) = 12/8 = 3/2
Y = 3/2x +b
-6 = 3/2(-4) + b
-6 = -6 + b, b = 0
Equation: y = 3/2x

Last year a musician made a profit of $1,500 from the sale of his CDs. If he donated 5% of this profit to charity, how much money did he donate to charity?

Answers

Answer:

$3,000

Step-by-step explanation:

5% = .5

1,500 ÷ .5 = 3,000

Which expression is equivalent to –5(x + 10)? F. 5x + 50 G. −5x + 10 H. −5x − 50 I. 5x − 50

Answers

Answer:

H) -5x - 50

Step-by-step explanation:

(-5 · x) + (-5 · 10) = -5x - 50

Please help me out! I can’t do this on my own.

Answers

Answer:

y = 6x

Step-by-step explanation:

y = mx + b

Slope (m) = 6/1 up 6, right 1

Y-intercept (b) = 0

Tyler is going on a road trip with his family. He pays $16.80 for 4 gallons of gas. What is the cost per gallon? What is the cost of 3 gallons? 5 gallons?

Answers

The cost per gallon of gas is $4.2.
($16.80 divided by 4 gallons)
The cost of 3 gallons is $12.6.
(3 gallons times $4.2)
The cost of 5 gallons is $21.
(5 gallons times $4.2)
You can continue the pattern of $4.2 dollars times each gallon forever.

Pls help with this problem

Answers

Answer:

E = 4.5, F = -6.25, D = -3.25

Step-by-step explanation:

Can I have some help

Answers

Answer:

Step-by-step explanation:

Answer:

c is the answer and that's a good tung twister math problem

Deon earns $91 washing 7 dogs. At this rate, how many dogs did Deon wash to earn $117?

Answers

$91/ 7 = $13 per dog
$117/$13 = 9 dogs
He washed 9 dogs

Timothy has some coins in a jar. He has 6 pennies,8 nickels,10 dimes, and four quarters. What is the ratio of the number of nickels to the number of dimes

Answers

Answer:

8:10

Step-by-step explanation:

If Timothy has some coins in a jar. He has 6 pennies,8 nickels,10 dimes, and four quarters. Then 4:5 is the ratio of the number of nickels to the number of dimes

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

Timothy has some coins in a jar.

The number of Pennies = 6

The number of Nickels = 8

The number of dimes =10

The number of quarters =4

We need to find the ratio of the number of nickels to the number of dimes

8/10

4/5

Hence 4:5 is the ratio of the number of nickels to the number of dimes

To learn more on Ratios click:

https://brainly.com/question/1504221

#SPJ5

$4 per hour and a $3 gas fee

Answers

Answer:

What are you supposed to do?

Step-by-step explanation:

Unit rate $80 For 16 tickets?

Answers

80/16 = 5

Unit rate: $5 / ticket

Answer: each ticket cost 5 dollar

Step-by-step explanation: if you do 80 divide 16 you will get 5. So if you did 5x16 you would get 80.

whats the answer to this

Answers

Answer:

7i-5

Step-by-step explanation:

Write an equation in slope-intercept form for the line with slope -4 and y-intercept 6 . Then graph the line.

Answers

Answer:

(-4,6)

Step-by-step explanation:

graph in second quadrant

Someone please help me these are my last points

Answers

Answer:

Part A: 5 miles per hour or 12 min per mile.

Part B: 30 min to get to his friends house.

Question 16 Part B: 30 minutes.

Step-by-step explanation:

Part A:

36 min for 3 miles so the unit is :

36/3 = 12 so: 1 mile per 12 min and 5 miles per hour.

Part B:

21/2 miles away so:

one mile per 12 min so 2.5 x 12 = he'll get there in 30 min.

Question 16 Part B:

just type in 30.

So I have the answer but ..

⚠️⚠️ HOW AM I SUPPOSED TO WRITE THE RULES ⚠️⚠️

You can use the photo as an example lol

Answers

You would say x= and then whatever it equals. then say how you got it as in; x=answer because every minute they read 1/2 a page, so in 2 minutes they read 1 whole page hope this helps, plz mark brainliest because I’m trying to be virtuoso

6 boxes of 3-inch incense sticks for $22.75 is a better buy than 8 boxes for $30 and 10 boxes for $38.00

True

False

Answers

Answer:

Step-by-step explanation:

22.75/6 boxes is $3.79 per box

30/8 boxes is $3.75 a box

38/10 boxes is $3.80 a box

68/18=3.70 a box if you combine the last two.

So no, the 6 boxes at $3.79 a box is not a better buy.

There is a elephant shaped weather vane at the top of a corn dryer tower that is 45 m high. If the weather vane weighs 190 N, what is the Potential Energy that the wether vane has?

Answers

Answer:

Potential Energy = 8550 Joules

Step-by-step explanation:

The potential energy of the body is the energy possessed by it due to its position therefore:

Potential energy = mgh

m = mass of the body measured in kg

g= acceleration due to gravity

h= height or distance measured in meters

But in the question asked we are not given mass but weight so

w= mg measured in newtons

We have

w= 190 N

h= 45m

PE= mgh

PE = w h= 190 * 45 = 8550 J

The unit of energy is Joule.

For two weeks the highest temperature each day was recorded in four different cities.

Answers

Answer:

b is your answer (:

How would I round .1245 to the nearest Hundredths???

Answers

Answer:

.12

Step-by-step explanation:

See if the number after the hundreths is greater than or 5, which in this case its not, so you will round it by keeping it the same

What is the slope of the line on the graph?

Answers

Answer:

[tex]m=6[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (1, 5)

Point (0, -1)

Step 2: Find slope m

Substitute: [tex]m=\frac{-1-5}{0-1}[/tex]Subtract: [tex]m=\frac{-6}{-1}[/tex]Divide: [tex]m=6[/tex]

can someone please help me ASAP

Answers

Answer:

42 degrees

Step-by-step explanation:

Answer:

x=42°

Step-by-step explanation:

In any triangle, when all three angles are added together, their sum will always be 180°:

∠1+∠2+∠3=180

Insert any known values:

[tex]29+109+x=180[/tex]

Simplify the addition:

[tex]138+x=180[/tex]

Use inverse operations to find angle three. Subtract 138 from both sides:

[tex]138-138+x=180-138\\\\x=42[/tex]

Therefore, the unknown angle is 42°.

:Done

In the diagram below, line segment AB has endpoints at A(-2,-6) and B (3,-1). Give the coordinates of line segment A'B' after a counterclockwise rotation of 90° about the origin.

Answers

Answer:

A’ (6,-2)

B’ (1,3)

Step-by-step explanation:

Here, we want to give the coordinates after a counterclockwise rotation of 90 degrees

Given a point with coordinates (x,y)

A counterclockwise rotation at 90 degrees to the origin will yield the coordinates (-y,x)

So A (-2,-6) will be A’ (6,-2) while B (3,-1) will be B’ (1,3)

Matilda wants to average sales in her café of $1400 per day. During the first 4 days of the week, her sales were $1289, $1498, $1327 and $1510. What does she need her sales for the 5th day of the week to meet her 5-day sales goal?

Answers

Answer

Matilda needs to sell 1376$ worth of coffee

Which is a linear graph, and which is a nonlinear graph?
How do you know?
Orange is linear; blue is nonlinear
Blue is linear; orange is nonlinear
Both are linear
Both are nonlinear

Answers

Answer:

Blue is linear; orange is nonlinear

Step-by-step explanation:

linear is straight

nonlinear is not

Given: x + 2y = -6.

Solve for y.

A.) y=x-6/2
B.)y=-x+6/2
C.)y=-x-6/2

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Subtract x from each side so you get

2y = -x-6

Then divide them by 2 to get

y = -x-6/2

someone help me Please

Answers

Answer:

Step-by-step explanation:

3+5×5-9÷3×4

3+25-3×4

3+25-12

3+13

The ratio of the number of boys to the number of girls in a dance club is 5 : 6. After 6 more boys join the club, the ratio became 13 : 12. How many people were in the club at the start?

Answers

Step-by-step explanation:

let boys be x and girls be y

x/y=5/6

x=5y/6....(1)

if 6 boys join the club that will be x+6

Therefore:

(x+6)/y=13/12

13y=12x+72

13y-12x=72

Recall x=5y/6

Therefore:

13y-12(5y/6)=72

13y-(2*5y)=72

13y-10y=72

3y=72

y=24 people

Therefore:

x=(5*24)/6

x=20 people

Therefore people in the club before are 20+24=44

What is the height of the trapezoid?
O 3 units
o 5 units
o 10 units
12 units

Answers

Answer:

5 Units

Step-by-step expla

Answer: b

Step-by-step explanation:

50 POINTS IF YOU CAN ANSWER IT!
(Click the photo to see the math problem)
Suppose your community has 3580 people this year. the population is growing 2.5% each year.
Write an exponential function to model the population. what will the population be in 3 years? Graph the function and give the domain and the range.

Answers

Step-by-step explanation:

a could be 3580 X 1.25^n

b could be 6992.19

dk c

i need help on this please

Answers

-6 answer to -4+(-2)

3 answer to 7+(-4)

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