A runner slows down after completing a race. Her deceleration is 0.25 m/s2. After 5 s she is travelling at 4 m/s, determine her initial velocity.​

Hi there!

This is an example of a recoil collision.

Let m1, v1 be Mary

Let m2, v2 be Jim

Utilize the conservation of momentum:

m1v1 + m2v2 = m1v1' + m2v2'

The initial velocities are zero (at rest), so:

0 = m1v1' + m2v2'

Let east be positive, so Jim recoils with a negative velocity:

0 = m1v1' - m2v2'

Set the two equal and solve:

m1v1' = m2v2'

m1v1'/m2 = v2'

(50)(2.5)/65 = v2' = 1.92 m/s to the WEST

Answer:

If and only if the object has 0 speed. Any other case is a no.

Explanation:

In increasing math complexity:

If the graph of a distance/time is a straight line with a non-zero slope it means that the velocity-time graph is an horizontal line where every point has the same second coordinate, equal to the value of the slope of the first line (ie, if the first line has equation [tex]y=2t[/tex] the second line will have equation [tex]y=2[/tex] - I'm using y to denote either the distance or the speed, read it as "the non-time variable")

If the graph of a speed/time is a straight line, the graph of the distance/time is the area of the region of space beneath the straight line in the first graph, ie a triangle. And as you increase the sides of that triangle keeping the angles fixed, you get a parabolic curve.

Bonus case: if [tex]v(t)= 0; d(t) = 0[/tex], they are both straight lines, they both pass through the origin, and they are the exact same line.

With calculus (or: math becomes fun after you add the alphabet to it)

You are asking if the answer of the IVP

[tex]\left \{ {{x'=x} \atop {x(0)=0}} \right.[/tex]

is a linear function. The answer is: besides the obvious [tex]x(t)'=x(t)=0 \ \forall t[/tex] there are no other solutions, linear or otherwise.

Answer:

2 m/s2

Explanation:

the answer is 2 m/s2

Answer:

2,800 n

Explanation:

hope this helps, have a nice day/night! :D

The force of 2812.5 N is being exerted by the chain.

An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude. The application of force is the location at which force is applied, and the direction in which the force is applied is known as the direction of the force.

Given that:

Mass of the  hunk of anorthosite moon rock : m = 500.0 kg.

Acceleration of the hunk: a = 4.0 m/s².

Acceleration due to gravity in moon = 1.625 m/s².

So, required force = 500.0(4.0 +1.625) n = 2812.5 N.

The force of 2812.5 N is being exerted by the chain.

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Answer:

Explanation:

The force acting on an object given it's mass and acceleration can be found by using the formula

force = mass × acceleration

From the question

mass = 2.5 kg

acceleration = 3.0 m/s²

We have

force = 2.5 × 3.0 = 7.5

We have the final answer as

Hope this helps you

Rogue waves are unpredictable and sudden waves that appear as surface waves and that have the ability to make ships capsize. For a wave to be a non-linear equation it means that it is unpredictable. What is expected does not actually happen. The resulting wave is often chaotic in nature.

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Answer:

50.176 [m].

Explanation:

1) the required height can be calculated using the formula:

h=V₀*t+1/2* g*t₂, where V₀ - initial velocity of the rock, t - elapsed time, g - 9.8 m/s²;

2) if V₀=0, t=3.2, g=9.8, then

h=0.5*9.8*3.2²=1024*49*10⁻³=50.176 [m].≈50[m].

Answer:

A. longer days and more direst sunlight

Explanation:

In the Northern Hemisphere, June 21 has longer days and more direct sunlight than December 21, so option A is correct.

Essentially, it alludes to a person's half-divisions. The Earth can be split up into many equal divisions. Latitudinal or longitudinal divisions may be used. Based on a hypothetical equator line, it can be either the northern or Southern Hemisphere, and based on the prime meridian, it can be either the eastern or western hemisphere. When viewed from a latitudinal perspective, the Northern and Southern Hemispheres are essentially hemispheres of the Earth.

The Northern Hemisphere is the region of the Earth that lies above the equator, which is an imaginary line. This hemisphere includes anything that is above this 0° line. It is the half of the planet that has the most people on the planet and more land than water.

The summer solstice falls on June 21 in the Northern Hemisphere and the winter solstice falls on June 21 in the Southern Hemisphere. The solstices are reversed around December 21 and winter officially starts in the Northern Hemisphere.

Therefore, in the Northern Hemisphere, June 21 has longer days and more direct sunlight than December 21.

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Answer:

I think it would be c, crashing into another car

Answer:

the electric energy travels through the plug or wire or whatever is connecting the energy source to the lightbulb, which conducts electricity, and to the light bulb. the electric energy is transfered into light energy and thermal energy

Explanation:

i hope i understood this question and answered it correctly XD

Answer:

A hydrometer is an instrument used to determine specific gravity

Answer:

it is used determine specific gravity

Explanation:

and u can see them in use by measuring proof of moonshine

Answer:

1 $1260.00-$700.00=$560.00

2 $700.00/$1260.00*100= approximately 55.6%

Explanation:

* this sign means Multiplication

Please find attached photograph for your answer.

Hope it helps.

Do comment if you have any query.

Answer:

[tex]4 ms^{-2}[/tex]

Explanation:

Normal force - should be the reaction from the surface it's on - nullifies the weight of the object. At this point the only force is of [tex]22-14 = 8N[/tex] from whoever is pushing the square and the friction, towards the right. At this point we divide the force by the mass of the object to obtain an acceleration of [tex]8/2 = 4 ms^{-2}[/tex]

Answer:

Venus

Explanation:

basic 2nd grade smarts "no offense"

Answer:

c.

Explanation:

Answer:

No work is done on the weight. :3

To solve this we must be knowing each and every concept related to work and its calculation. Therefore, 250J is the work done in joule by the rope on the weight.

Work in physics is the energy delivered to or out of an item by applying force across a displacement. It is frequently expressed in its most basic form as the combination of displacement and force.

When a force is applied, it is said to produce positive work if it has a proportion in the orientation of the movement of a site of application. Work done is positive when the direction of force acting on the object and displacement of the object both are in the same direction.  

Mathematically,    

Work= force ×displacement

force =20 N

displacement=2.00 m

displacement=2×3.14×2=12.5m

substituting all the given values in the above equation, we get

Work= 20 ×12.5

Work =250J

Therefore, 250J is the work done in joule by the rope on the weight.

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Answer:

KE = 19.652 J to the right

Explanation:

KE = J or N*m

KE = (1/2)m*v²

KE = kinetic energy

m = mass(kg)

v = velocity (m/s)

KE = .5*0.068kg*(17m/s)²

KE = 9.826 J to the left

So double it to the right to get 17m/s.

KE = 19.652 J to the right

J = Joules or can be expressed as N*m which is Newton-meters.

The vertical height of the cliff on which the diver drove off is 33.76 m.

The given parameters;

The time of motion of the cliff diver is calculated as follows;

[tex]t = \frac{X}{v} \\\\t = \frac{21}{8} \\\\t = 2.625 \ s[/tex]

The vertical height of the cliff is calculated as follows;

[tex]h = v_0_y t + \frac{1}{2} gt^2\\\\h = 0 + 0.5 \times 9.8 \times 2.625^2\\\\h = 33.76 \ m[/tex]

Thus, the vertical height of the cliff on which the diver drove off is 33.76 m.

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The coefficient of kinetic friction between the block and the horizontal surface is 0.051.

The given parameters;

The acceleration of the block is calculated as follows;

[tex]v^2 = u^2 + 2(-a)s\\\\v^2 = u^2 - 2as\\\\a = \frac{u^2 - v^2}{2s} \\\\a = \frac{3^2 - 0^2}{2\times 9} \\\\a =0.5 \ m/s^2[/tex]

The coefficient of kinetic friction between the block and the horizontal surface is calculated as follows;

[tex]\mu_k mg = ma\\\\\mu_k = \frac{a}{g} \\\\\mu_k = \frac{0.5}{9.8} \\\\\mu_k = 0.051[/tex]

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P= 10m = 10 x 115 = 1150 N

work done while lifting a 115 kg sofa 1.5 m off the ground :

A= Ph = 1150 x 1.5 = 1725 J

P/s: I think the weight first is 115kg

ok done. Thank to me :>

Answer:

question is incomplete

Answer:

1470 N

Explanation:

Weight = m*g

So 150 kg * 9.8 m/s^2 = 1470 N

Answer:

“Eat more delicious whole-food plants at every meal and snack. Fruits, vegetables, whole grains, nuts and seeds are packed with nutrients and contain satisfying fiber that is good for digestion, disease prevention and sustained energy.

Explanation:

Answer:

B

Explanation:

Y won't sink because his shoes have wider area

Answer:

Ink

mud

hcl

ocean water

co2

h20