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
zlopas [31]
3 years ago
13

A man walks 600 m [E47°N], then 500 m [N38°W], then 300 m [W29°S], and finally 400 m [S13°E]. Find his resultant displacement.

Physics
1 answer:
Archy [21]3 years ago
4 0

The horizontal component of an angular distance can be calculated by multiplying the distance with the cosine of the angle, Dx = D * cos θ

While the vertical component is calculated by multiplying the distance with the sine of the angle, Dy = D * sin θ

The resultant displacement can then be obtained using the formula for hypotenuse and summations of each component:

R^2 = (summation of Dx)^2 + (summation of Dy)^2

summation of Dx = 600 * cos47 + 500 * cos128 + 300 * cos209 + 400 * cos(-77) = -71.0372

summation of Dy = 600 * sin47 + 500 * sin128 + 300 * sin209 + 400 * sin(-77) = 297.6267

<span>                        Note: you have to draw the lines to correctly determine the angles</span>

R^2 = (-71.0372)^2 + 297.6267^2

R = 306 m

The resultant angle is:

tan θ = Dy / Dx

θ = tan^-1 (297.6267 / -71.0372)

θ = 103˚ = [N 13˚ W]

Therefore displacement is 306 m <span>[N 13˚ W].</span>

You might be interested in
7. How much work is done in moving a charge of 10 micro coulombs 1 meter along an equipotential of 10 volts?
Neko [114]

It takes work to push charge through a change of potential. 
There's no change of potential along an equipotential path,
so that path doesn't require any work.

8 0
3 years ago
Read 2 more answers
I would like help with this physics problem
Darina [25.2K]

(a) This is a freefall problem in disguise - when the ball returns to its original position, it will be going at the same speed but in the opposite direction. So the ball's final velocity is the negative of its initial velocity.

Recall that

v_f=v_i+at

We have v_f=-v_i, so that

-2v_i=at\implies-2\left(8\,\dfrac{\mathrm m}{\mathrm s}\right)=\left(-2\,\dfrac{\mathrm m}{\mathrm s^2}\right)t\implies t=8\,\mathrm s

(b) The speed of the ball at the start and at the end of the roll are the same 8 m/s, so the average speed is also 8 m/s.

(c) The ball's average velocity is 0. Average velocity is given by \dfrac{v_i+v_f}2, and we know that v_f=-v_i.

(d) The position of the ball x_f at time t is given by

x_f=x_i+v_it+\dfrac12at^2

Take the starting position to be the origin, x_i=0. Then after 6 seconds,

x_f=\left(8\,\dfrac{\mathrm m}{\mathrm s}\right)(6\,\mathrm s)+\dfrac12\left(-2\,\dfrac{\mathrm m}{\mathrm s^2}\right)(6\,\mathrm s)^2=42\,\mathrm m

so the ball is 42 m away from where it started.

We're not asked to say in which direction it's moving at this point, but just out of curiosity we can determine that too:

x_f-x_i=\dfrac{v_i+v_f}2t\implies42\,\mathrm m=\dfrac{8\,\frac{\mathrm m}{\mathrm s}+v_f}2(6\,\mathrm s)\implies v_f=6\,\dfrac{\mathrm m}{\mathrm s}

Since the velocity is positive, the ball is still moving up the incline.

8 0
3 years ago
A major physical disability usually leaves people ________ than able-bodied people with depression. Most patients "locked in" a
Ierofanga [76]

Answer:

happier; do not

Explanation:

A major physical disability usually leaves people __happier______ than able-bodied people with depression. Most patients "locked-in" a motionless body ____do not____ indicate they want to die.

4 0
3 years ago
Read 2 more answers
Describe how a radiation is similar to b- radiation​
Lina20 [59]

Complete question is;

Describe how α-radiation is similar to β-radiation?

Answer:

Explained below

Explanation:

The similarity between both alpha radiation and beta radiation is that in both cases, they both show deflection when they go through electric and magnetic fields. Although alpha deflects towards the negative plate while bets deflects towards the positive plate.

Secondly they both have high speeds. Just that alpha is from the helium nucleus while beta is from electrons.

3 0
3 years ago
Can someone please help?
Diano4ka-milaya [45]

I think you go to my school!

7 0
3 years ago
Other questions:
  • On a warm, balmy summer day you decide to relax by watching the latest building renovation in your neighborhood. You notice that
    13·1 answer
  • A boat crosses a river of width 161 m in which the current has a uniform speed of 1.09 m/s. The pilot maintains a bearing (i.e.,
    13·1 answer
  • Which of the following describes the variable that responds to a change?
    15·2 answers
  • Atoms are the smallest portions of an element that retain the original characteristics of the element. True or false
    13·1 answer
  • The weight of a body of certain mass becomes zero in space.why?write with reasons​
    5·1 answer
  • Derive the explicit rule for the pattern <br> 3, 0, -3, -6, -9,
    5·2 answers
  • What is the velocity of a jet that travels 785 m [W] in 2.39 s?
    7·1 answer
  • Two band members are marching toward each other beginning from opposite end zone goal lines (100 yards apart). One band member i
    8·1 answer
  • A physicist wants to estimate the rate of emissions of alpha particles from a certain source. He counts 400 emissions in 80 seco
    12·1 answer
  • Write the mathemetical relation between work force and displacement​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!