All categories

2 years ago

WILL GIVE BRAINLIEST!!

Mathematics

2 answers:

TEA [102]2 years ago

6 0

Answer:

Simple springs obey Hooke's Law. Hooke's Law states that the force on a spring is proportional to it's displacement from it's resting length:

F = -k*x

Where F is the force, x is how far the string is stretched or compressed, and k is a proportionality constant called the spring constant. The negative sign is because the spring resists stretching.

In this case, we can solve for k using the first case:

(100N) = -k * (5cm)

k = ???

And plug that answer in to find x in the second case:

(360N) = -k * x

This is a "Hooke's Law" problem: the restoring force required to compress or stretch a spring is proportional to the distance the spring is deformed. You can figure solve it by setting up a proportion equation and then using the algebraic tool of cross multiplication to solve for the unkown "stretch".

1) set up the proportion equation

100 = 360

5 x

2) cross multiply to get a linear equation

100x = 5*360

3) solve for x

100x = 1800

x = 18

Upvote

•

Downvote

Add comment

Molodets [167]2 years ago

3 0

Answer:

The law: F=kx

Therefore,

180N = k * 5cm

k = 180÷5= 36N per cm

Using the known constant with the law,

270=36*x

x= 270 ÷ 36 = 7.5cm

You might be interested in

M=p/n+4 make n the subject

Kipish [7]

Answer:

$n = \frac {p - 4m}{m}$

Step-by-step explanation:

Given the algebraic expression;

$m = \frac {p}{n + 4}$

To make n the subject of formula.

Cross-multiplying, we have;

$m*(n+4) = p$

$mn + 4m = p$

Rearranging the equation, we have;

$mn = p - 4m$

$n = \frac {p - 4m}{m}$

6 0

3 years ago

Read 2 more answers

An item is regularly priced at $69. David bought it at a discount of 55% off the regular price. How much did David pay?

zysi [14]

Answer:

37.95

Step-by-step explanation:

55% of $69

so 0.55 x 69 = 37.95

8 0

3 years ago

Read 2 more answers

The volume of a cone is 16 pi cubic inches. Its height is 12 inches. What is the radius of the cone? 2 in. 4 in. 12 in. 16 in.

mart [117]

The radius of cone is 2 inches

Solution:

The volume of cone is given by formula:

$V = \frac{\pi r^2h}{3}$

Where,

"V" is the volume of cone

"r" and "h" are the radius and height of cone respectively

Given that, volume of a cone is 16 pi cubic inches

Its height is 12 inches

Therefore, we get,

V = $16 \pi$ cubic inches

h = 12 inches

r = ?

Substituting the values in formula, we get

$16 \pi = \frac{ \pi \times r^2 \times 12}{3}\\\\16 = 4r^2\\\\r^2 = 4\\\\r = \pm 2$

Since, radius cannot be negative, ignore r = -2

Thus radius of cone is 2 inches

8 0

3 years ago

Read 2 more answers

Phillip's Soup Kitchen charges the same price, $8.95, for a bowl of any of their soups. The Rag-dale Family Reunion was being he

777dan777 [17]

P = 8.95R Hope this helps!!

8 0

3 years ago

Sample Work Suppose you are constructing a LEGO Technic Land Rover Defender with a total of 2573 pieces. You have already put to

ahrayia [7]

Answer:

The relationship is linear.

Step-by-step explanation:

A linear relationship is a trend in the data that can be modeled using a straight line, such that a relationship between two variables x and y is linear if the rate of change is constant. That is, whenever x increases by 1, and it always increases by the same constant.

The constant by which y increases as x increases by 1 is called the slope and is denoted by the letter m. Being b the y-intercept, the linear relationship is modeled by the expression:

y=m*x + b

In this case x represents the minutes and y is the total number of pieces put together, so that each time x (minutes) increases by 1, "y" increases by 5 pieces. So knowing that you have already collected 253 pieces, the expression of the linear relationship is:

y=5*x + 253

The relationship is linear.

6 0

3 years ago