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
mixas84 [53]
3 years ago
14

A runner moves 2.88 m/s north. She accelerates at 0.350 m/s^2 at a -52.0 angle. At the point in the motion where she is running

directly east, what is Δx?
Physics
2 answers:
MrRissso [65]3 years ago
8 0

The runner has initial velocity vector

\vec v_0=\left(2.88\dfrac{\rm m}{\rm s}\right)\,\vec\jmath

and acceleration vector

\vec a=\left(0.350\dfrac{\rm m}{\mathrm s^2}\right)(\cos(-52.0^\circ)\,\vec\imath+\sin(-52.0^\circ)\,\vec\jmath)

so that her velocity at time t is

\vec v=\vec v_0+\vec at

She runs directly east when the vertical component of \vec v is 0:

2.88\dfrac{\rm m}{\rm s}+\left(0.350\,\dfrac{\rm m}{\mathrm s^2}\right)\sin(-52.0^\circ)\,t=0\implies t=10.4\,\rm s

It's not clear what you're supposed to find at this particular time... possibly her position vector? In that case, assuming she starts at the origin, her position at time t would be

\vec x=\vec v_0t+\dfrac12\vec at^2

so that after 10.4 s, her position would be

\vec x=(10.1\,\mathrm m)\,\vec\imath+(17.2\,\mathrm m)\,\vec\jmath

which is 19.9 m away from her starting position.

likoan [24]3 years ago
3 0

Answer:

Δx = 11.7 and Δy = 15

You might be interested in
The four tires of an automobile are inflated to a gauge pressure of 2.2 ✕ 105 Pa. Each tire has an area of 0.022 m2 in contact w
Trava [24]

Answer:

P =\frac{F}{A}

And solving for F we got:

F = PA

And replacing we got:

F = 2.2x10^5 Pa * 0.088 m^2 =19360 N

And if we want the mass we can solve from this formula:

F =mg

With g=9.8 m/s^2 the gravity

Explanation:

For this case we can find the total area of the 4 tires and we got:

A = 4*0.022 m^2 = 0.088m^2

Now we know that the total pressure is:

P=2.2 x10^5 Pa

And then we can find the weight with from this formula:

P =\frac{F}{A}

And solving for F we got:

F = PA

And replacing we got:

F = 2.2x10^5 Pa * 0.088 m^2 =19360 N

And if we want the mass we can solve from this formula:

F =mg

With g=9.8 m/s^2 the gravity

7 0
3 years ago
If 14:15=42:x find the value of x​
Yuliya22 [10]

Answer:

x=45

Explanation:

by taking 42 and dividing it by 14 you get 1/3, because 14 is 1/3 of 42 you can then see that the ratio is multiplied by 3. si then you can just multiply 15 by 3 to get 45

3 0
2 years ago
Read 2 more answers
A ball with 100 J of PE is released from a height of 10 m. What will be the KE of the ball at 5
harkovskaia [24]

Answer:

The kinetic energy is: 50[J]

Explanation:

The ball is having a potential energy of 100 [J], therefore

PE = [J]

The elevation is 10 [m], and at this point the ball is having only potential energy, the kinetic energy is zero.

E_{p} =m*g*h\\where:\\g= gravity[m/s^{2} ]\\m = mass [kg]\\m= \frac{E_{p} }{g*h}\\ m= \frac{100}{9.81*10}\\\\m= 1.01[kg]\\\\

In the moment when the ball starts to fall, it will lose potential energy and the potential energy will be transforme in kinetic energy.

When the elevation is 5 [m], we have a potential energy of

P_{e} =m*g*h\\P_{e} =1.01*9.81*5\\\\P_{e} = 50 [J]\\

This energy is equal to the kinetic energy, therefore

Ke= 50 [J]

8 0
3 years ago
A 4.00-m long rod is hinged at one end. The rod is initially held in the horizontal position, and then released as the free end
Natalka [10]

Answer:

The angular acceleration α = 14.7 rad/s²

Explanation:

The torque on the rod τ = Iα where I = moment of inertia of rod = mL²/12 where m =mass of rod  and L = length of rod = 4.00 m. α = angular acceleration of rod

Also, τ = Wr where W = weight of rod = mg and r = center of mass of rod = L/2.

So Iα = Wr

Substituting the value of the variables, we have

mL²α/12 = mgL/2

Simplifying by dividing through by mL, we have

mL²α/12mL = mgL/2mL

Lα/12 = g/2

multiplying both sides by 12, we have

Lα/12 × 12 = g/2 × 12

αL = 6g

α = 6g/L

α = 6 × 9.8 m/s² ÷ 4.00 m

α = 58.8 m/s² ÷ 4.00 m

α = 14.7 rad/s²

So, the angular acceleration α = 14.7 rad/s²

5 0
3 years ago
What is the property of matter in which a substance can transfer heat or electricity
IgorLugansk [536]

Conductivity is the property of matter in which a substance can transfer heat or electricity

6 0
3 years ago
Other questions:
  • The top floor of the Ostankino TV Tower in Moscow is located at a height of 360.4 m. Assume a stone is dropped from this top flo
    5·1 answer
  • Identify a wave that speeds up when it passes from air to water as well as one that slows down
    7·1 answer
  • What is the focal length of the mirror? follow the sign conventions?
    9·1 answer
  • If the x-component of a vector is 17, and the angle between the vector and the x-axis is 46 degrees, what is the magnitude of th
    14·2 answers
  • Describe how absorption and scattering can affect a beam of light
    6·1 answer
  • What effect would increasing the number of loops in a coil of wire have on an elctromagnet
    11·2 answers
  • In what direction does an applied force move an object?
    5·2 answers
  • Photo used to help with the question is below!! Please answer! Will mark BRAINLIEST!
    10·1 answer
  • If a car travels 200 m to the east in 8.0s what is the car's average velocity.
    12·1 answer
  • An 5kg object is released from rest near the surface of a planet. The vertical position of the object as a function of time is s
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!