All categories

3 years ago

When a particular mass-spring system is started by stretching the spring 3 cm, one complete oscillation takes 4 seconds.

Mathematics

1 answer:

11Alexandr11 [23.1K]3 years ago

4 0

Answer:

A. 5.16 s.

B. 5.66 s.

Step-by-step explanation:

For a simple harmonic motion,

T = 2pi (sqrt * (l/g))

Given:

L1 = 3 cm

T1 = 4 s

L2 = 5 cm

T2 = ?

4 = 2pi*sqrt(3/g)

g = 7.4

At, L2,

T2 = 2pi*sqrt(5/7.4)

= 5.16 s.

M1 = M1

M2 = 2*M1

For a simple harmonic motion,

T = 2pi (sqrt * (m/k))

4 = 2pi (sqrt * (M1/k))

M1/k = 0.405

Inputting the above values,

T2 = 2pi (sqrt * (2*M1/k))

= 2pi (sqrt * (2 * 0.405))

= 5.66 s.

You might be interested in

Find the missing angle in the triangle

EastWind [94]

Answer:

$a + 95 \degree + 53\degree = 180\degree \\ a = 180\degree - (95 + 53)\degree \\ a = 32\degree$

4 0

2 years ago

Read 2 more answers

The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories

ziro4ka [17]

The scatterplot shown includes the (blue) least-squares regression line, whose equation is y = .975 + .005x, where y is calories (in thousands) and x is years after 1960. Choose the correct statement.

Answer: In the given regression equation, the calories are in thousands. Therefore, the slope 0.005 (0.005 x 1000 =5 calories) means the consumption is increasing at a rate of 5 calories per year.

Hence the option a. Consumption is increasing at a rate of 5 calories per year. is correct

4 0

3 years ago

Read 2 more answers

B) A car priced at $3600 is reduced by 25%.<br> What is the reduced price?

gavmur [86]

3600:25 =144

reduced price is 144$

8 0

3 years ago

What is a peregrine falcon's maximum speed while diving to catch prey,

Sergeu [11.5K]

This is an incomplete question, here is a complete question.

What is a peregrine falcon's maximum speed while diving to catch prey 200 miles per hour in feet per second? (Round your answer to the nearest whole number. (1 mile = 5280 feet)

Answer : The speed in feet per second is, 293 feet/s

Step-by-step explanation :

As we are given that the speed of peregrine falcon's is 200 miles per hour. Now we have to determine the speed in feet per second.

As we know that:

1 mile = 5280 feet

1 hour = 3600 second

So,

1 mile/hr = 1.4667 feet/s

As, 1 mile/hr = 1.4667 feet/s

So, 200 mile/hr = $\frac{200\text{ mile/hr}}{1\text{ mile/hr}}\times 1.4667\text{ feet/s}$

= 293.34 feet/s ≈ 293 feet/s

Therefore, the speed in feet per second is, 293 feet/s

5 0

3 years ago

Create a story context for the following expression.<br> 1/3 x ($20 - $3.20)

maksim [4K]

Answer:

Julie and her 2 sisters want to buy a new videogame, it costs $20, if their grandmother gives them $3.20 to buy it, how much will each have to pay?

Step-by-step explanation:

When you have a problem like this you just have to thing on a reason to multiply by a fraction and a withdrawal from the total, if you are multiplying by a fraction, that means you are dividing money, so thats why we put julie and her sisters as subjects, and her grandma givin them money is to withdraw from the total amount those $3.20

4 0

3 years ago