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
PIT_PIT [208]
3 years ago
5

Use hookes law

Mathematics
1 answer:
kifflom [539]3 years ago
7 0

we know that

Hooke's law

F=kx

where

F is force

k is spring constant

x is stretched length

we are given F=265N and x=0.15m

now, we can use it and find k

265=k*0.15

we get

k=\frac{5300}{3}

now, we can plug back

F=\frac{5300}{3}x

(A)

we are given

stretches the spring 0.2

so, x=0.2

and then we can find F

F=\frac{5300}{3}*0.2

F=353.333N

(B)

we are given

F=140N

so, we can set it equal and then we can solve for x

140=\frac{5300}{3}*x

x=0.07925m............Answer

You might be interested in
A laptop computer is purchased for 2300 . After each year, the resale value decreases by 35% . What will the resale value be aft
denis-greek [22]
100-35 = 65
65% de 2300 = 1495 (mes 1)
2300-1495 = 805 (mes 2)
65% de 805 = 523,25 (mes 3)
65% de 523,25 = 340,1125 ~ 340,10 (mes 4)
8 0
3 years ago
The length of the base edge of a pyramid with a regular hexagon base is represented as x. The height of the pyramid is 3 times l
sergij07 [2.7K]

Answer:

(a)

h=3x

(b)

A=\frac{\sqrt{3} }{4} x^2

(c)

A=\frac{3\sqrt{3} }{2} x^2

(d)

V=\frac{3\sqrt{3} }{2} x^3 units^3

Step-by-step explanation:

We are given a regular hexagon pyramid

Since, it is regular hexagon

so, value of edge of all sides must be same

The length of the base edge of a pyramid with a regular hexagon base is represented as x

so, edge of base =x

b=x

Let's assume each blank spaces as a , b , c, d

we will find value for each spaces

(a)

The height of the pyramid is 3 times longer than the base edge

so, height =3*edge of base

height=3x

h=3x

(b)

Since, it is in units^2

so, it is given to find area

we know that

area of equilateral triangle is

=\frac{\sqrt{3} }{4} b^2

h=3x

b=x

now, we can plug values

A=\frac{\sqrt{3} }{4} x^2

(c)

we know that

there are six such triangles in the base of hexagon

So,

Area of base of hexagon = 6* (area of triangle)

Area of base of hexagon is

=6\times \frac{\sqrt{3} }{4} x^2

=\frac{3\sqrt{3} }{2} x^2

(d)

Volume=(1/3)* (Area of hexagon)*(height of pyramid)

now, we can plug values

Volume is

=\frac{1}{3}\times\frac{3\sqrt{3} }{2} x^2\times (3x)

V=\frac{3\sqrt{3} }{2} x^3 units^3


3 0
3 years ago
Read 2 more answers
Which of the following sets of data will have the smallest Standard Deviation?
uranmaximum [27]

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

I hope this helps, mark as Brainliest please.

6 0
3 years ago
A line passes through the point (4, -6) and has a slope of 3/2 . Write an equation in slope-intercept form for this line.
tatyana61 [14]

A slope intercept form: y = mx + b where m = slope and b = y -intercept

A slope of 3/2 is given

So y = 3/2 x + b

To find b:

b = y - mx

A line passes through the point (4, -6)

b = -6 - (3/2)(4)

b = -6 - 6

b = - 12

Answer

Equation in  slope intercept form:  y = 3/2 x - 12


8 0
3 years ago
Read 2 more answers
1/3 to 2/3 percentage increase or decrease
Leto [7]

Answer:

increase

Step-by-step explanation:

the number got bigger

6 0
4 years ago
Read 2 more answers
Other questions:
  • A coffee supply store waits until the orders for its special blend reach 100 pounds before making up a batch. Columbian coffee s
    14·1 answer
  • An animal shelter has 4/5 of its crates filled with animals. 1/2 of the filled crates are holding cats. What fraction of the tot
    8·2 answers
  • A rectangle measures 15cm by 6cm what is its area
    12·1 answer
  • A bicycle tire has a radius of 8 inches.
    12·1 answer
  • there are 25 students in Ms.Morris's class.she wants to divide the class into 3,4,5 equal teams with all students on a team . wh
    10·1 answer
  • Keisha deposits $500 into an account that pays simple interest at a rate of 2% per year. How much interest will she be paid in t
    13·1 answer
  • Which of the given expressions results in 0 when evaluated at x = 5?
    6·1 answer
  • Find the volume of this composite figure.
    9·1 answer
  • Solve the inequality. a−2>4
    8·2 answers
  • Need help plsssssssss
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!