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
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
You might be interested in
If you answer right you get brainliest. this is for 30 points
Phoenix [80]

Answer:

4th one

Step-by-step explanation:

18/6=3      3 units on the y-axis / vertical

That's the only one with (-4,-2)

3 0
2 years ago
Solve the equation for the indicated variable<br> x - 3y for y
Colt1911 [192]

Answer:y=x/3

Step-by-step explanation:

x-3y=0

or,x=3y

y=x/3

7 0
3 years ago
HELLPPPPPPPPPPPPPPPPP
forsale [732]

Answer:

y=-1/3x-8

Step-by-step explanation:

Here is the equation for slope-intercept form: y=mx+b

Ok first, let's find the y intercept, which is equal to b in slope-intercept form.

To find the y intercept, we need to look at the y axis. It is the point where the line touches it. The graph shows that the line touches the y axis at -8, so that is the y intercept, (0, -8).

Now, from that point, we need to find the slope, which is equal to m in slope-intercept form.

To find the slope, start on the point that you are on, which should be the y intercept, and count how many spaces you need to go up or down, and then left or right until you get to any other point on the line. These are called the rise (change in y) and run (change in x) respectively. The slope is equal to the rise over the run, or rise/run.

In this case, we can choose any point on the line that is shown on the graph that isn't the y intercept. I'll chose the point on the right nearest to the y intercept. From the point we are on, which is (-8,0), we will need to move one space down and three to the right.

One space down on the y axis is -1, and three spaces to the right on the x axis is +3, so our slope will be -1/+3, which is -1/3.

Let's go back to the slope-intercept form. y=mx+b. Now we can plug our information in.

We know the y intercept is -8, which is b,

and we know the slope is -1/3, which is m.

So substituting for b and m, we get y=-1/3x-8.

6 0
2 years ago
If f(x) = (square root of x -12 /)-5, find f(13)
Ilya [14]
The answer isssss 4/3.
3 0
3 years ago
Please help me with this
tester [92]

\rm\blue{Answer:}

x = 70°

<u>Explanation</u> :

To find : Value of x

Here, given angles are :

35°, 75° and x

Knowledge Required to solve it :

The sum of all the angles of a triangle is 180°.

Now,

35°+75°+x=180°

⇒110°+x=180°

⇒x=180°-110°

⇒x=70°

.°. x=70°

5 0
3 years ago
Other questions:
  • Find the slope and write an equation of the line which passes through the points. (−3, 9) and (−3, −5)
    13·1 answer
  • Identify whether the function f(x)=3x5 is a monomial function, power function, both, or neither.
    14·1 answer
  • I have inserted another photo if you could please answer ASAP that would be great.
    13·1 answer
  • How to simplify the expression 8m/12mn ?? Algebra
    11·1 answer
  • Can someone please help me with this problem? problem attached. Thank you​
    12·2 answers
  • Find the amplitude, period, and phase shift of the function.
    14·1 answer
  • John paid $50 for renting a cycle for 5 hours. Which graph shows the relationship between the cost of renting a cycle for differ
    11·2 answers
  • Gabby is 2 kg heavier than her sister who weighs 3.4 kg. what is their combined weight?​
    11·1 answer
  • There are 28 student desks in Ms. Johnson’s. Each desk measures 26.17 inches long. If you were to line up all the desks end-to-e
    10·1 answer
  • What is equivalent to 6x=3+4=5+3x+4?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!