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
harkovskaia [24]
1 year ago
5

two soccer players, mary and jane, begin running from nearly the same point at the same time. mary runs in an easterly direction

at 4.43 m/s, while jane takes off in a direction 60.2o north of east at 5.07 m/s. how long is it before they are 24.7 m apart? what is the velocity of jane relative to mary? enter first the x-component and then the y-component. how far apart are they after 4.08 s?
Physics
1 answer:
goblinko [34]1 year ago
5 0

The time taken before the two soccer players are 24.7 m apart is 3 seconds.

Velocity of Jane relative to marry is 4.4 m/s in y-direction and 6.95 m/s in x direction.

The distance between Jane and Mary after 4.08 seconds is 33.58 m.

<h3>Resultant velocity of Mary and Jane</h3>

Vertical component of the velocity;

Jane: Vy1 = V sinθ

Vy1 = 5.07 m/s  x  sin(60.2)

Vy1 = 4.4 m/s

Horizontal components of the velocity;

Jane: Vx1 = V cos θ

Vx1 = 5.07 m/s  x  cos60.2

Vx1 = 2.52 m/s

mary: Vx2 = 4.43 m/s

total horizontal components of the velocity = 4.43 m/s + 2.52 m/s = 6.95 m/s

<h3>Resultant velocity</h3>

V = √Vy² + Vx²

V = √(4.4² + 6.95²)

V = 8.23 m/s

<h3>Time taken before they are 24.7 m apart</h3>

t = 24.7 m / 8.23 m/s

t = 3 seconds

Velocity of Jane relative to marry is 4.4 m/s in y-direction and 6.95 m/s in x direction.

<h3>Distance between Jane and Mary after 4.08 seconds</h3>

d = vt

d = 8.23 m/s  x 4.08 s

d = 33.58 m

Learn more about relative velocity here: brainly.com/question/17228388

#SPJ1

You might be interested in
How does the density of the Earth’s core compare to the other layers of the Earth?
Delvig [45]
The answer is A) for sure
3 0
3 years ago
Read 2 more answers
A crate with a mass of m = 450 kg rests on the horizontal deck of a ship. The coefficient of static friction between the crate a
Zielflug [23.3K]

Answer:F_{v} =\mu_{k} mg

Magnitude of the force is 2601.9 N

Explanation:

m = 450 kg

coefficient of static friction μs = 0.73

coefficient of kinetic friction is μk = 0.59

The force required to  start crate moving is F_{s} =\mu_{s} mg.

but once crate starts moving the force of friction is reduced  F_{v} =\mu_{k} mg.

Hence  to keep crate moving at constant velocity we have to reduce the  force pushing crate ie F_{v} =\mu_{k} mg.

Then the above pushing force will equal the frictional force due to kinetic friction and constant velocity is possible as  forces are balanced.

Magnitude of the force

F_{v} =\mu_{k} mg\\F_{v} =0.59 \times 450 \times 9.8\\F_{v} =2601.9  N

4 0
3 years ago
A block of weight 1200N is on an incline plane of 30° with the horizontal, a force P is applied to the body parallel to the plan
pshichka [43]

Answer:

a)  P = 807.85 N,  b)  P = 392.15 N,  c)  P = 444.12 N

Explanation:

For this exercise, let's use Newton's second law, let's set a reference frame with the x-axis parallel to the plane and the direction rising as positive, and the y-axis perpendicular to the plane.

Let's use trigonometry to break down the weight

         sin θ = Wₓ / W

         cos θ = W_y / W

         Wₓ = W sin θ

         W_y = W cos θ

         Wₓ = 1200 sin 30 = 600 N

          W_y = 1200 cos 30 = 1039.23 N

Y axis  

      N- W_y = 0

      N = W_y = 1039.23 N

Remember that the friction force always opposes the movement

a) in this case, the system will begin to move upwards, which is why friction is static

       P -Wₓ -fr = 0

       P = Wₓ + fr

as the system is moving the friction coefficient is dynamic

      fr = μ N

      fr = 0.20 1039.23

      fr = 207.85 N

we substitute

       P = 600+ 207.85

       P = 807.85 N

b) to avoid downward movement implies that the system is stopped, therefore the friction coefficient is static

        P + fr -Wx = 0

       fr = μ N

       fr = 0.20 1039.23

        fr = 207.85 N

we substitute

        P =  Wₓ -fr

        P = 600 - 207,846

        P = 392.15 N

c) as the movement is continuous, the friction coefficient is dynamic

         P - Wₓ + fr = 0

         P = Wₓ - fr

         fr = 0.15 1039.23

         fr = 155.88 N

         P = 600 - 155.88

         P = 444.12 N

6 0
3 years ago
On a highway curve with a radius of 46 meters, the maximum force of static friction that can act on a 1,200 kg car going around
Mekhanik [1.2K]

Answer:

v\approx 16.956\,\frac{m}{s}

Explanation:

The motion of the vehicule on a highway curve can be modelled by the following equation of equilibrium:

\Sigma F = f = m\cdot \frac{v^{2}}{R}

The maximum speed is:

v = \sqrt{\frac{f\cdot R}{m} }

v = \sqrt{\frac{(7500\,N)\cdot (46\,m)}{1200\,kg} }

v\approx 16.956\,\frac{m}{s}

7 0
3 years ago
1)a persons ________ will change if they move from the earth to the moon
fgiga [73]

A person's weight will change if they move from the earth to the moon. This does not however, change the person's mass. Mass is the amount of matter that makes up an object, and volume is how much space it takes up. On the moon, there is a lighter gravitational pull on said person, so they will not weigh as much if they stepped on a scale.

3 0
3 years ago
Read 2 more answers
Other questions:
  • If a wheel falls from an airplane that is flying horizontally at an altitude of 500 m, how long will it take for the wheel to st
    14·1 answer
  •  I NEED TO KNOW FAST PLZ SOMEONE KNOW THE ANSWER Spiral galaxies usually contain many young stars, so they often have a reddish
    7·1 answer
  • A solid cylinder of mass 3.0 kg and radius 0.2 m starts from rest at the top of a ramp, inclined 15°, and rolls to the bottom wi
    8·1 answer
  • A golf ball is hit with an initial velocity of 15 meters per second at an angle of 35 degrees above horizontal. What is the vert
    8·1 answer
  • The unit of electrical current is the ampere (A).
    5·1 answer
  • Your toaster has a power cord with a resistance of 2.2x10^−2 Ω connected in series with a 9.7 Ω nichrome heating element. The po
    6·1 answer
  • Hello please help i’ll give brainliest
    10·1 answer
  • Relate the changes in molecular motion of particles as they change from solid to liquid to gas.
    7·1 answer
  • The tools to distinguish the thickness of two objects of thickness of 1.92mm and the other with thickness of 1.93mm is ?
    9·1 answer
  • Which kind of inclined plane pushes up more? Steeper or flatter?
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!