Find the value of a that satisfies the congruency of the triangles. In two or more complete sentences, explain the relevance bet

When jumping, a flea rapidly extends its legs, reaching a takeoff speed of 1.0 m/s over a distance of 0.50 mm . part a what is t

zzz [12365]

The flea experiences an acceleration of 1,000 m/s².

Detailed explanation

This scenario involves motion with constant acceleration.

The relevant variables include the following.

$\boxed{u \ or \ v_i = initial \ velocity}$

$\boxed{u \ or \ v_t \ or \ v_i = terminal \ or \ final \ velocity}$

$\boxed{a = acceleration \ (constant)}$

$\boxed{d = distance \ travelled}$

We know the flea attains a takeoff velocity of 1.0 m/s over a distance of 0.50 mm.

The flea starts from rest, so the initial velocity is zero. The question asks for the flea's acceleration during leg extension.

The equation we apply is:

$\boxed{ \ v^2 = u^2 + 2ad \ }$

a = acceleration (m/s²)
u = initial speed = 0 m/s
v = takeoff velocity = 1.0 m/s
d = displacement = 0.50 mm

First, convert 0.50 mm to meters: $\boxed{0.50 \ mm = 0.50 \times 10^{-3} \ m = 5.0 \times 10^{-4} \ m}$

Solution steps:

Rearrange the formula to isolate acceleration (a).

$\boxed{ \ v^2 = u^2 + 2ad \ }$

$\boxed{ \ v^2 - u^2 = 2ad \ }$

$\boxed{ \ 2ad = v^2 - u^2 \ }$

$\boxed{ \ a = \frac{v^2 - u^2}{2d} \ }$

Insert the given values into the rearranged equation.

$\boxed{ \ a = \frac{(1.0)^2 - (0)^2}{2(5.0 \times 10^{-4})} \ }$

$\boxed{ \ a = \frac{1}{10 \times 10^{-4}} \ }$

$\boxed{ \ a = \frac{1}{1 \times 10^{-3}} \ }$

$\boxed{ \ a = 1 \times 10^{3}\ = 1,000 \ m/s^2 \ }$

This yields the flea's acceleration as 1,000 m/s².

Additional resources

Scientific notation: brainly.com/question/7263463
Determining substance mass: brainly.com/question/4053884
Conversion into cubic units: brainly.com/question/1446243

Keywords: flea, jumping, leg extension, takeoff velocity, initial speed, displacement, acceleration, constant acceleration, unit conversion

5 0

3 months ago

Read 2 more answers

Joe wants to paint the outside of a wooden box. He needs to find the surface area of the box

Zina [12379]

4 multiplied by 2 equals 8

4 multiplied by 1.5 equals 6

2 multiplied by 1.5 equals 3

8 multiplied by 2 equals 16

2 multiplied by 6 equals 12

2 multiplied by 3 equals 6

16 plus 12 plus 6 totals 34 ft

3 0

3 months ago

Read 2 more answers

Starting from 300 feet away, a car drives toward you. It then passes by you at a speed of 48 feet per second. The distance dd (i

Svet_ta [12734]

To this problem, the solution is 5 seconds.

In this scenario, you have the initial distance of 300 feet, a car speed of 48 feet per second, and a final distance of 60 feet. You also have the equation for calculating the distance, which should simplify the problem. You're asked to find out when the distance equals 60 feet. Thus, the calculation would be:

distance= 300-48t
60 = 300ft - 48t
48t = 300 - 60 = 240
t = 5

7 0

3 months ago

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A piggy bank contains some dimes and nickels. There are 8 more dimes than nickels in the bank. There is a total of $1.40. How ma

zzz [12365]

Answer:

4 nickels

12 dimes

Step-by-step explanation:

Dimes have a value of $0.10 each, while nickels are worth $0.05 each.

There are 8 more dimes than nickels. Let d represent the count of dimes and n represent nickels, so d equals n plus 8.

The total value of nickels and dimes is $1.40, giving the equation 0.10d + 0.05n = 1.40.

Combining equations:

d = n + 8

0.10d + 0.05n = 1.40

— Substitute the first into the second:

0.10(n + 8) + 0.05n = 1.40

Distribute terms:

0.8 + 0.10n + 0.05n = 1.40

Combine like terms:

0.8 + 0.15n = 1.40

Subtract 0.8 from both sides:

0.15n = 0.6

Divide both sides by 0.15:

n = 0.6 / 0.15 = 4

Since there are 8 more dimes, d = 4 + 8 = 12.

5 0

3 months ago