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Alexus [3.1K]
2 years ago
12

The drag force due to air resistance on a soccer ball traveling through the air at 20 m/s is 2.3 N. What is the drag force on th

at same soccer ball when it is moving through the air at 35.4 m/s
Physics
1 answer:
Aneli [31]2 years ago
3 0

The drag force on that same soccer ball when it is moving through the air at 35.4 m/s is 7.2 Newton.

Given the data in the question;

  • Initial speed; v_1 = 20m/s
  • Initial drag force; F_1 = 2.3N
  • Final speed; v_2 = 35.4m/s

Final drag force; F_2 =\ ?

From Newton's laws, Drag force is directly proportional to velocity squared:

F\ \alpha \ v^2 \\\\F = Kv^2

Where k is the constant of proportionality.

Hence;

\frac{F_1}{F_2} = \frac{V_1^2}{V_2^2}

We make "F_2" the subject of the formula

F_2 = \frac{F_1 * v_2^2}{v_1^2}

We substitute our values into the equation;

F_2 = \frac{2.3N * (35.4m/s)^2}{(20m/s)^2}\\\\F_2 = \frac{2.3N * 1253.16}{400} \\\\F_2 = \frac{2882.268N}{400}\\\\F_2 = 7.2N

Therefore, the drag force on that same soccer ball when it is moving through the air at 35.4 m/s is 7.2 Newton.

Learn more: brainly.com/question/2867185

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A cyclist accelerates from a velocity of 10 miles/hour east until reaching a velocity of 20 miles/hour east in 5 seconds. What w
Sliva [168]

Answer:

a = 0.894\ m/s^2

Explanation:

<u>Motion with Constant Acceleration</u>

A body moves with constant acceleration when the speed changes uniformly in time. The equation used to find the final speed vf is

v_f=v_o+at

Where vo is the initial speed, a is the acceleration, and t is the time.

The cyclist has an initial speed of vo=10 miles/hour and ends up at vf=20 miles/hour in t=5 seconds.

Both speeds are given in miles/hour and we must convert it to m/s:

1 mile/hour = 0.44704 m/s

10 mile/hour = 4.47 m/s

20 mile/hour = 8.94 m/s

The acceleration is calculated by solving for a:

\displaystyle a=\frac{v_f-v_o}{t}

\displaystyle a=\frac{8.94-4.47}{5}

a = 0.894\ m/s^2

3 0
2 years ago
A ball is thrown horizontally from the top of a building 14.9 m high. The ball strikes the ground at a point 107 m from the base
umka2103 [35]

Answer:

1) t=1.743 sec

2)Vo=61.388  m/sec

3)the x component of its velocity just be- fore it strikes the ground is the same as the  initial velocity of the ball that is=61.388  m/sec

4)Vf=17.08 m/s

Explanation:

1)From second equation of motion we get

h=Vit+(1/2)gt^2

here in case(a): Vi=0 m/s,h=14.9m,,put these values in above equation to find the time the ball is in motion

14.9=(0)*t+(1/2)(9.8)t^2

t^2=14.9/4.9

t^2=3.040 sec

t=1.743 sec

2) s=Vo*t

Putting values we get

107=Vo*1.743

Vo=61.388  m/sec

3)the x component of its velocity just be- fore it strikes the ground is the same as the  initial velocity of the ball that is=61.388  m/sec

4)From third equation of motion we know that

Vf^2-Vi^2=2gh

here Vi=0 m/s,h=14.9 m

Vf^2=Vi^2+2gh=0+2(9.8)(14.9)

Vf^2=292.04

Vf=17.08 m/s

8 0
3 years ago
Which of the following is an example of how culture can help humans
serg [7]

A prime example of how culture has contributed to human survival is the development of agriculture, which helps feed enormous numbers of people. Option A is correct.

<h3 /><h3>What is culture?</h3>

A population's collective ways of life are known as culture. The manner of life for an entire society has been said about culture. It encompasses manners, rituals, and artistic standards.

The invention of farming helps feed large populations of humans and is an example of how culture can help humans survive.

Hence option A is correct.

To learn more about the culture refer to:

brainly.com/question/12678729

#SPJ1

7 0
1 year ago
How do you find the total magnification of a microscope?
Alla [95]
In order to find total magnification of a microscope, you need to multiply the power of eyepiece and objective lens.

Hope this helps!
6 0
3 years ago
Initially sliding with a speed of 1.9 m/s, a 1.8 kg block collides with a spring and compresses it 0.35 m before coming to rest.
Alika [10]
Let k =  the force constant of the spring (N/m).

The strain energy (SE) stored in the spring when it is compressed by a distance x=0.35 m is
SE = (1/2)*k*x²
     = 0.5*(k N/m)*(0.35 m)²
     = 0.06125k J

The KE (kinetic energy) of the sliding block is
KE = (1/2)*mass*velocity²
     = 0.5*(1.8 kg)*(1.9 m/s)²
     = 3.249 J

Assume that negligible energy is lost when KE is converted into SE.
Therefore
0.06125k = 3.249
k = 53.04 N/m

Answer:  53 N/m  (nearest integer)

3 0
3 years ago
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