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Yuliya22 [10]
3 years ago
14

At the start of his race, 86-kg Olympic 100m champion Usain Bolt pushes against the starting block, exerting an average force of

1700N. The force that the block exerts on his foot points 20 degrees above the horizontal. Determine his horizontal speed after the force is exerted for 0.32 seconds.
Mathematics
1 answer:
Leviafan [203]3 years ago
3 0
1) Determine the horizontal force, Fx, exerted by the block on Usain

cos(20°) = Fx / F => Fx = F*cos(20) = 1700N*cos(20) = 1597.48 N

2) Determine the Impulse of that force on Usain.

I = F*t = 1597.48N * 0.32s = 511.19 N*s

3) Determine change in momentum of Usain, Δp

Δp = I = 511.19 N*s

4) Find change if velocity

Δp = Δ(mV) = mΔV => ΔV = Δp / m = 511.19 N*s / 86 kg = 5.94 m/s

Given the Usain started from rest, the velocity is ΔV - 0 = 5.94 m/s

Answer: 5.94 m/s
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Answer:

0=2+3x+3/2

0=7/2+3x

-3x=7/2

divide by -3 on both sides

x=-7/6

hope this helps

Step-by-step explanation:

3 0
3 years ago
If i am dtiving 8 miles at 55 miles per hour how long willnit take
anyanavicka [17]

Answer:

It takes 0.145 hours

Step-by-step explanation:

Given:

Distance  = 8 miles

Speed = 55 miles per hour

To Find:

Time taken = ?

Solution:

The time taken for an object to travel a particular distance  with  a  average speed can be found by

\text{Time Taken} = \frac{distance}{ speed}

Now Substituting the given values , we get

\text{Time Taken} = \frac{8}{55}

\text{Time Taken} = 0.145

Time taken will be 0.145 hours

3 0
3 years ago
Find the distance from point A to the given line:<br> A(-1, 7), y=3x<br><br> How do I solve this?
kipiarov [429]

he formula of a distance between a point (a, b)

and a line Ax + By + C = 0:

d=\dfrac{|Aa+Bb+C|}{\sqrt{A^2+B^2}}

We have the point A(-1, 7) → a = -1, b = 7

and the line y = 3x → 3x - y = 0 → A = 3, B = -1, C = 0.

Substitute:

d=\dfrac{|(3)(-1)+(-1)(7)+0|}{\sqrt{3^2+(-1)^2}}=\dfrac{|-3-7|}{\sqrt{9+1}}=\dfrac{|-10|}{\sqrt{10}}=\dfrac{10\sqrt{10}}{\sqrt{10}\cdot\sqrt{10}}\\\\=\dfrac{10\sqrt{10}}{10}=\sqrt{10}

<h3>Answer: d = √10</h3>
3 0
3 years ago
HELP PLEASE!!!!
kumpel [21]

Answer:

The rational numbers are \frac{11}{3}, 6.25, 0.01045,\sqrt{\frac{16}{81}},0.\bar{42} and the irrational functions are \sqrt{48},\sqrt{\frac{3}{16}}.

Step-by-step explanation:

A rational number can be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example 2,3.5,\frac{2}{5},....

An irrational function can not be expressed in the form of \frac{p}{q}, where p and q are integers and q is not equal to 0. For example \sqrt{2},\sqrt{3},\sqrt{5},....

If any number is multiplied by a irrational number then the resultant number is an irrational number.

By the above definition we can conclude that:

The number \frac{11}{3} is a rational number.

\sqrt{48}=\sqrt{16\times 3}=4\sqrt{3}

Therefore \sqrt{48} is an irrational number.

6.25=\frac{625}{100}=\frac{25}{4}

Therefore 6.25 is a rational number.

0.01045=\frac{1045}{100000}=\frac{209}{20000}

Therefore 0.01045 is a rational number.

\sqrt{\frac{16}{81}}=\frac{4}{9}

The number \frac{16}{81} is a rational number.

\sqrt{\frac{3}{16}}=\frac{\sqrt{3}}{4}

The number \frac{3}{14} is an irrational number.

0.\bar{42}=\frac{42}{99}

Therefore 0.\bar{42} is an irrational number. The numbers with recursive bar are always rational numbers.

3 0
3 years ago
A set of data is normally distributed with a mean of 75 and a standard deviation of 3. What percent of the data is in the
lord [1]

Answer:

Step-by-step explanation:

8 0
3 years ago
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