if a cart goes around a turn at 20 km/h ,what remains constant

1.position
2.velocity
3.direction
4.speed

Complete Question

A field mouse trying to escape a hawk runs east for 5.0m, darts southeast for 3.0m, then drops 1.0m down a hole into its burrow. What is the magnitude of the net displacement of the mouse?

Answer:

The  values is  [tex]s =  7.49 \  m[/tex]

Explanation:

From the question we are told that

   The  distance it travels eastward is  [tex]x =  5.0 \ m[/tex]

   The distance it travel towards the southeast  is [tex]l  =  3.0\  m[/tex]

   The distance it travel towards the south is  [tex]z =  1 \  m[/tex]

Let x-axis  be east

      y-axis  south

       z-axis into the ground

The angle made between east and south is  [tex]\theta  =  45^o[/tex]

The displacement toward x-axis is

       [tex]x =  5 +  3cos(45)[/tex]

       [tex]x =  7.12[/tex]

 The  displacement toward the y-axis is  

     [tex]y  =  3 *  sin (45)[/tex]

      [tex]y =  2.123[/tex]

Now the overall displacement of the rat is mathematically evaluated as

        [tex]s =  \sqrt{7.12^2 +  2.12^2 +  1^2}[/tex]

      [tex]s =  7.49 \  m[/tex]

Answer:

It will take 15 seconds

Answer:

[tex]\huge\boxed{\sf Frequency = 10\ Hz}[/tex]

[tex]\huge\boxed{\sf Time\ Period = 0.1\ secs}[/tex]

Explanation:

Given:

No. of times = 600 times

Time = 60 seconds

Required:

Frequency = f = ?

Time Period = T = ?

Solution:

Frequency = 600 / 60

Frequency = 10 Hz

Time Period = 1 / 10

Time Period = 0.1 secs

Answer:

2.52 s

Explanation:

We can use equation of motion to solve this.

[tex]s \: = ut + \frac{1}{2} a {t}^{2} [/tex]

Assuming initial velocity to be 0 and no air resistance,

[tex] s \: = \frac{1}{2} a {t}^{2} \\ 31.16 = \frac{1}{2} (9.81) {t}^{2} \\ t = 2.52s[/tex]

The time of flight is 3.54 s.

There are three equation of motions that can be used when motion of the object is under constant acceleration and on a straight path.

They are listed below as:

[tex]v = u + at\\\\s = ut + \dfrac{1}{2} at^2\\\\v^2 = u^2 + 2as[/tex]

where the symbols have following meanings:

u = initial velocity of the considered object

v = final velocity of the object

a = acceleration of the object

s = distance traveled by the object in 't' time.

It is given that A woman leaning over the railing of a tall bridge accidentally drops her cell phone. If the bridge is 31.16 m high, then  how long will it take the phone to hit the river below the bridge.

We can use equation of motion to solve this;

[tex]s = ut + \dfrac{1}{2} at^2[/tex]

where:

s = 31.16 m is the vertical displacement of the phone

u = 0 is the initial vertical velocity

Assuming initial velocity to be 0 and no air resistance,

[tex]s = 1/2 (9.8)(t)^2\\31.16 = 1/2 (9.8)(t)^2\\t = 2.52 s[/tex]

Hence, The time of flight is 3.54 s.

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Answer:

Speed, [tex]v=1.6\times 10^8\ m/s[/tex]

Explanation:

Given that,

Distance covered by the electron, d = 32 cm = 0.32 m

Time, t = 2 ns

We need to find the speed of an electron. Speed is equal to distance covered divided by time. So,

[tex]v=\dfrac{0.32}{2\times 10^{-9}}\\\\v=1.6\times 10^8\ m/s[/tex]

So, the speed of the electron is [tex]1.6\times 10^8\ m/s[/tex].

Answer:

2.68 hours

Explanation:

A.) Suppose the wind blows out from the west (with the air moving east). The pilot should then head her plane to northwest direction to move directly north.

B.) Given that plane flies at a speed of 102 km/h in still air. And the wind blows out from the west (with the air moving east) at a speed of 46 km/h.

The plan resultant speed can be calculated by using pythagorean theorem.

Resultant Speed = Sqrt( 102^2 + 46^2 )

Resultant Speed = Sqrt( 12520)

Resultant speed = 111.89 km/h

From the definition of speed,

Speed = distance/time

Where distance = 300 km

Substitute the resultant speed and the distance into the formula.

111.89 = 300/time

Time = 300/111.89

Time = 2.68 hours

Therefore, it take her 2.68 hours to reach a point 300 km directly north of her srarting point

Given :

A kayak on a lake is moving at a constant speed of 4.1 m/s in a direction 41.6° north of west.

To Find :

After 10 min :

(a) how far west the kayak has traveled km.

(b) how far north the kayak has traveled km.

Solution :

a) Time taken in seconds :

[tex]t=10\times 60 \ s = 600\ s[/tex] .

Distance travelled in 600 s is :

[tex]D=s\times t\\\\D=4.1\times 600\ m\\\\D=2460\ m[/tex]

Distance in km is :

[tex]D=\dfrac{2460}{1000}=2.46\ km[/tex]

b) Now , distance from the north is given by :

[tex]d=D\times sin\ 41.6^o\\\\d=2.46 \times sin\ 41.6^o\\\\d=1.63\ km[/tex]

Hence , this is the required solution .

Answer:

Time taken by car to cover 10m is 5.42 seconds and final velocity is 0m/s.

Answer:

C. 30.6m

Explanation:

To find the height of the tower, we are to use Newtons law of motion to solve this problem. Since the penny is falling from the top of the tower, it is acted by the acceleration due to gravity. The formula to be used is:

[tex]H=ut+\frac{1}{2}gt^2[/tex]

Where H is the height of the tower, t is the time taken to hit the ground, u is the initial velocity and g is the acceleration due to gravity.

Given that, t = 2.5 s, g =9.8 m/s², u = 0 m/s (at the top of tower)

[tex]H=ut+\frac{1}{2}gt^2\\\\H=0(2.5)+ \frac{1}{2}(9.8)(2.5)^2\\\\H=30.6\ m[/tex]

Answer:

330 km

55*6= 330 km. An easy formula for this is multiplying time with speed.

Explanation:

330 kilometros

55 * 6 = 330 km. Una fórmula fácil para esto es multiplicar el tiempo por la velocidad.

Answer:330 km

Explanation:55*6= 330 km. An easy formula for this is multiplying time with speed.

Answer:

provides a first hand account of an event or time period and are considered to be authoritative

Answer:

main source

Explanation:

Answer:

6?

Explanation:

Answer:

did you get the answer bc I think its -3

Explanation:

Answer:

smooth

go far

Answer:

a

 The  charge is  [tex]Q =  2.0*10^8 \  C[/tex]

b

The number of electrons  [tex]N  =  1.25 *10^{27} \  electrons[/tex]

Explanation:

From the question we are told that

    The  maximum rate of charge flow is  [tex]\frac{dq}{dt} = I =  20000 \  C/s[/tex]

Here  I means current

    The time interval is [tex]t=100 \mu s  = 100*10^{-6}[/tex]

Generally the amount of charge is mathematically represented as

        [tex]Q =  \frac{I}{t}[/tex]

=>      [tex]Q =  \frac{20000}{ 100*10^{-6}}[/tex]

=>    [tex]Q =  2.0*10^8 \  C[/tex]

The number of electrons that flow during that time is evaluated as

    [tex]N  =  \frac{Q}{e}[/tex]

Here e is the charge on a single electron with value [tex]e=  1.60*10^{-19} \  C[/tex]

So

         [tex]N  =  \frac{2.0*10^8}{ 1.60*10^{-19}}[/tex]

         [tex]N  =  1.25 *10^{27} \  electrons[/tex]

Answer:

7.5 meters

Explanation:

Answer:

7.5 kilometers

Explanation:

The distance can be found by multiplying the speed by the time.

[tex]d=s*t[/tex]

The car's speed is 1.5 kilometers per minute. It is traveling for 5.0, or 5  minutes. Therefore,

[tex]s= 1.5 km/min\\t=5 min[/tex]

Substitute the values into the formula.

[tex]d=1.5 km/min * 5 min[/tex]

Multiply. When you multiply, the minutes, or "min" will cancel each other out.

[tex]d= 1.5 km * 5[/tex]

[tex]d=7.5 km[/tex]

The distance the car travels is 7.5 kilometers.

Answer:

B. Running one mile faster than normal

Explanation:

Just took the quiz, good luck ❤

The best example of increasing the intensity of a workout is running one file faster than normal. Hence, option B is correct.

Exercise is a physical activity for the body that improves or preserves physical fitness as well as general health and wellness.

It is done for a variety of objectives, such as support growth and enhance strength, needs to better and also the cardiovascular system, refine sports skills, maintain or lose weight, improve health, or just for fun. Many people like to work outside where they may interact, gather in groups, and enhance their physical and emotional well-being.

The amount of advised exercise for health benefits varies on the objective, the style of activity, and the age of the individual. Exercise is better for you than not at all, even if it is only a little.

Therefore, the best example of increasing the intensity of workout or exercise by running one mile faster than normal.

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Answer:

a) to the right

b) up

c) down

d) there will be no force on the proton

e) there will be no force on the proton

Explanation:

The complete question is

If the velocity of a proton is straight up(thumb pointing up) then RHR2 (right hand rule) shows that the force points to the left. What would the direction of the force be if the velocity were a)down, b)to the right, c)to the left, d)into the page, and e)out of the page?

The right hand rule for a positive charge states that...

Hold the thumb of the right hand at right angle to the rest of the fingers, and the rest of the fingers parallel to one another, and pointing away from the body. If the thumb shows the velocity of a positive charge in a magnetic field, and the fingers all point in the direction of the magnetic field, then the palm will push in the direction of the force on the positive charge (proton).

From this, we can deduce from the original statement about this proton that the direction of the field is into the screen of this computer. with that field direction held constant, we can work out that

a) if the thumb point down, the force will be to the right

b) if the thumb points to the right, the force will be upwards

c)  if the thumb points to the left, the force is downwards

d)  if the thumb points into the page, then there will be no force on the proton since the proton must travel perpendicularly to the magnetic field for a force to be induced on it

e) explanation is the same as foe option d.

Answer:

50.2m/s

Explanation:

Using first equation of motion we have

V= u+gt

V= final speed

U= initial speed

So v = 1.2m/s + 9.8(5s)

50.2m/s

Answer:

Jun 29, 2016 · Tectonic plates are large segments of the Earth’s crust that move slowly. Suppose that one such plate has an average speed of 4.0 cm/year. (a) What distance does it move in 1.0 s at this speed? (b) What is its speed in kilometers per million years?

Explanation:

Hey There!! ~

The answer to this is: Complete these sentences.

If a bouncing ball has a total energy of 20 J and a kinetic energy of 5 J, the ball’s potential energy is 15J.

If the kinetic energy of the ball decreases, then the potential energy will Increase.

Hope It Helped!~

[tex]ItsNobody[/tex]~

Answer:

a. 1.80 %

b. 0.60 %

c. 1.20 %

d. 0.60 %

e. 0.60 %

Explanation:

In order to calculate percent uncertainties in each case, we forst need to calculate the average value:

Average Diameter = (16.4 mm + 16.8 mm + 16.9 mm + 16.6 mm +16.8 mm)/5

Average Diameter = 16.7 mm

Now, the formula for percent uncertainty is:

% Uncertainty = (Uncertainty/Average) * 100 %

where,

Uncertainty = |Value - Average|

For Each Case:

a. 16.4 mm:

Uncertainty = |16.4 mm - 16.7 mm| = 0.3 mm

Therefore,

% Uncertainty = (0.3 mm/16.7 mm) * 100%

% Uncertainty = 1.80 %

b. 16.8 mm:

Uncertainty = |16.8 mm - 16.7 mm| = 0.1 mm

Therefore,

% Uncertainty = (0.1 mm/16.7 mm) * 100%

% Uncertainty = 0.60 %

c. 16.4 mm:

Uncertainty = |16.9 mm - 16.7 mm| = 0.2 mm

Therefore,

% Uncertainty = (0.2 mm/16.7 mm) * 100%

% Uncertainty = 1.20 %

d. 16.6 mm:

Uncertainty = |16.6 mm - 16.7 mm| = 0.1 mm

Therefore,

% Uncertainty = (0.1 mm/16.7 mm) * 100%

% Uncertainty = 0.60 %

e. 16.8 mm:

Uncertainty = |16.8 mm - 16.7 mm| = 0.3 mm

Therefore,

% Uncertainty = (0.1 mm/16.7 mm) * 100%

% Uncertainty = 0.60 %

Answer:

h = 1.07 m

Explanation:

It is given that,

The average sped of the kingfisher, v = 4.6 m/s

Time, t = 1.4 s

Final speed, v = 0 (as it hits the water)

We need to find the height from which the bird dove. Let the height is h. According to the conservation of energy.

[tex]mgh=\dfrac{1}{2}mv^2\\\\h=\dfrac{v^2}{2g}\\\\h=\dfrac{(4.6)^2}{2\times 9.8}\\\\h=1.07\ m[/tex]

So, the bird dove from a height of 1.07 m.

All we need to do is divide the momentum and weight to find the velocity:

v = m / w

Solve using the values we are given.

v = 952/68 = 14 m/s

Best of Luck!

Answer:

Explanation:

From the question we are told that

  The  height is  [tex]h  =  0.518 \  m[/tex]

    The  sphere density is  [tex]\rho =  22.2g/cm^3 =  \frac{22.2 }{1000}  *  1*10^{6} =  22200 kg/m^3[/tex]

    The  radius is  [tex]r =  2.12 \  mm =0.00212 \ m[/tex]

Generally the power required  is mathematically represented as

   [tex]P  =  \frac{16 *  \pi *  \rho *  r *  g *  h^2 * c }{3}[/tex]

substituting values  

    [tex]P  =  \frac{16 * 3.142 *  22200 *  0.00212 *  9.8 *  0.518^2 *  3.0*10^{8}}{ 3}[/tex]

   [tex]P  = 6.22*10^{11} \  W[/tex]

Given :

Distance of point P from the origin is , d = 9.83 mm .

To Find :

The electric field produced by this charge at point P , if charge is placed at origin .

Solution :

Let , charge on origin is q .

Electric field at point P is given by :

[tex]E=\dfrac{kq}{r^2}[/tex]    ..... ( 1 )

Here , k is constant , [tex]k=9\times 10^{9}\ N \ m^2/C^2[/tex] .

Putting value of k and r in above equation , we get :

[tex]E=\dfrac{q\times 9\times 10^9}{(9.83\times 10^{-3})^2}\ N/C\\\\E=(9.31\times 10^{13})q\ N/C[/tex]

Hence , this is the required solution .

Answer:

If the earth stops rotating the apparent weight will increase at most of the places because the upward component of the centrifugal force due to rotation will disappear.

Answer:

Clockwise direction

Explanation:

In a case of a wire carrying a current, the right hand rule is used.

The thumb in the direction of current while the finger curl around in the direction of the magnetic field.

The right hand rule applies to a current in a straight line wire.

If the direction a wire carrying a current perpendicularly into this page, the direction of the magnetic field will be in a clockwise direction .