The graph shows the motion of a cyclist.



Calculate;

a) The acceleration in the first 20 s.

b) The acceleration between 20 and 30s.

c) The acceleration in the last 10 s.

d) The distance travelled by the cyclist when he was moving at a constant speed?
Show working.

Answer:

1500 divided by 150(15m x 10m/s^2) = 10

Explanation:

K = 5kg[tex](2 m/s)^{2}[/tex]/2 = 10 J

Answer:

20

Explanation:

because I am always right yo bro be like me

Answer:

10.2 m/s

Explanation:

Using conservation of energy:

PE = KE

mgh = ½ mv²

v = √(2gh)

v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)

v = 10.2 m/s

The velocity when car reaches the bottom of the hill is 10.2 m/s.

The mechanical energy is the sum of kinetic energy and the potential energy of an object at any instant of time.

M.E = KE +PE

M.E = ½ mv² + mgh

where g is the acceleration due to gravity, v is the velocity, m is the mass and h is the height of the object.

Given is a 1380 kg car starts from rest at the top of a 28.0 m long hill inclined at 11.00 degrees.

Using conservation of energy principle, we have

PE = KE

mgh = ½ mv²

v = √(2gh)

Substitute the values, we get

v = √(2 × 9.8 m/s² × 28.0 m × sin 11.0°)

v = 10.2 m/s

Thus, the velocity when car reaches the bottom of the hill is 10.2 m/s.

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Answer:

Distance = 420 km

Explanation:

Speed = Distance/ Time

Where speed = 70 km/hr and time = 6 hours

Distance = Speed × Time

D = 70 km/hr × 6 hrs

D = 420 km

Answer:

GIVEN DATA :

TIME TAKEN=t=6h

SPEED OF THE TRAIN=v=70km/h

TO FIND:

DISTANCE COVERED=d=?

SOLUTION:

AS WE KNOW THAT

SPEED=DISTANCE COVERED / TIME TAKEN

SPEED × TIME TAKEN = DISTANCE COVERED

70km/h×6h=distance covered

distance covered=420km

Answer:

A ( Jack did twice as much work as Jill

Explanation:

Answer:

636.4 J

Explanation:

The potential energy between one of the charges at the corner of the square and the fifth identical charge is U = kq²/r where q = charge = +50 × 10⁻⁶ C  and r = distance from center of square. = √2 m (since the midpoint of the sides = 1 m, so the distance from the charge at the corner to the center is thus √(1² + 1²) = √2)

Since we have four charges, the additional potential energy to move the charge to the centre of the square is U' = 4U = 4kq²/r

U' = 4kq²/r

= 4 × 9 × 10⁹ Nm²/C² (+50 × 10⁻⁶ C)²/√2 m

= 900 Nm²/√2 m

= 636.4 J

The total external energy required is 636.4 J.

According to the question, a square of side a = 2m has 4 identical charges on the corners with charge Q = 50×10⁻⁶C.

A fifth identical charge is brought at the geometric center of the square. The geometric center is at the center of the diagonal:

[tex]r=\frac{a}{\sqrt{2} }=\sqrt{2}\;m[/tex]

The potential energy is a state function which means that it depends on the initial and final position.

Now the energy required is equal to the change in potential energy

[tex]\Delta U=\frac{1}{4\pi\epsilon_o}\frac{4Q^2}{r}\\\\\Delta U=\frac{4\times9\times10^9\times(50\times10^{-6})^2}{\sqrt{2} } \\\\\Delta U=636.4\;J[/tex]

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Answer:

0.333

Explanation:

Weight of the sinker in water = 25gf

Weight of cork in air and sinker in water = 25gf + 2.5gf

= 27.5gf

Weight of the cork and sinker in water = 20gf

Loss of weight of cork in water = 27.5- 20 = 7.5gf

Rd of cork = weight of cork in air/ loss of weight of cork in water

= 2.5/7.5

= 1/3

= 0.333

Hence the Relative density of the cork is 0.333

Answer:

Explanation:

The force acting to the right of the body is acting in the positive x direction while the force acting to the left of the body is acting in the negative x direction.

If a force of 12N acts to the left on a body and a force of 16 N acts to the right, force acting to the left will be -12N while that acting to the right will be +16N.

The resultant force acting on the bod will be the sum of the two forces.

Resultant = -12N+16N

Resultant = 4N

The direction of the resultant force will be towards the right since the resultant is a positive value.

Answer:

The answer to the following question is given below.

Explanation:

This means a mixture of interconnected, interlinked, or interactive elements that establish the collaborative entity or entities.  

Answer:

During charging by conduction, both objects acquire the same type of charge. If a negative object is used to charge a neutral object, then both objects become charged negatively. ... In this case, electrons are transferred from the neutral object to the positively charged rod and the sphere becomes charged positively.

Answer:

Solar panels have increased in efficiency over the past 20 years

Explanation:

Because if efficiency have increased other technologies will be discovered

Answer:

Solar panels have increased in efficiency over the past 20 years

Explanation:

Answer: find the answer in the explanation

Explanation:

The capillarity of water molecules is different from the mercury molecules.

What is capillarity ?

This is the tendency of a liquid substance to rise in a capillary tube.

Molecules water rises up in a harrow tubes because of the force of adhesion between the water molecules and the tube molecules is greater than the force of cohesion between the water molecules. This helps water to wet the tube and rise. While mercury which is also a liquid falls in a narrow tubes to level below the outside surface because the force of cohesion between the mercury molecules is greater than the force of adhesion between the mercury molecules and the tube molecules. Mercury does not wet.

Answer:

Ok, as the gas starts to cool down, the kinetic energy of the particles starts to decrease, so the first thing that happens is:

"the gas loses thermal energy" (as the gas cools down, the temperature decreases, so it loses thermal energy)

Now, the kinetic energy must decrease, so now:

"the particles of gas move slower".

Then, as the particles start to move slower, they start to get closer to eachother, then we have:

"The space between the gas particles decreases."

As the particles start to get close to eachother, the density of the gas starts to increase, until a point where we get to the condensation point, here we have a change of phase and the gas changes to a liquid, so here we have:

"The gas changes to a liquid."

Answer:

a

Explanation:

Answer:

Hello! Thanks! I hope you are too! hope this helps!

Explanation:

The primary reason is to create more water pressure. ... If a municipal water tank is elevated to more than a hundred feet above the ground, there is an increase of . 43 psi per foot. A tank that has been elevated to an appropriate height can create water pressure similar to that created by a large pump

Answer:

✌✌✌✌✌✌✌✌✌✌✌

Explanation:

The primary reason is to create more water pressure. ... If a municipal water tank is elevated to more than a hundred feet above the ground, there is an increase of . 43 psi per foot. A tank that has been elevated to an appropriate height can create water pressure similar to that created by a large pump.

Answer:

m = 1,975 m / kg , b = 38.05 m

Explanation:

In this experiment, the elongation is plotted against the applied mass

getting a straight line

            y = m x + b

where b would be the initial length of spring let's calculate the slope for which we use two well separated points

           m = (56.3 -48.4) / (8 - 4)

           m = 1,975 m / kg

the equation remains

         y = 1,975 x + b

for x = 2 kg y = 42.0 m

we substitute in the equation

           42 = 1,975 2 + b

           b = 42 - 3.95

           b = 38.05 m

Answer:

Explanation:

so, p1v1=p2v2

p2=p1xv1/v2

Answer:

b. 40m/s2

Explanation:

Acceleration is calculated by dividing velocity over time. Therefore 200m/s by 5s equals 40m/s2

Answer:

B

Explanation:

v = vo + at

200 = 0 + a*5

200 = 5a

a = 200/5 = 40 m/s²

initial velocity (vo) is 0 because it says it start from station

[tex]power = 2548 \: watt \\ solution \\ mass = 130 \: kg \\ distance = 10m \\ time = 5 \: sec \\ power = \frac{w}{t} \\ \: \: \: \: \: \: \: \: \: \: = \frac{f \times d}{t} \\ \: \: \: \: \: \: \: \: = \: \frac{m \times g \times d}{t} \\ \: \: \: \: \: \: \: \: \: = \frac{130 \times 9.8 \times 10}{5} \\ \: \: \: \: \: \: \: \: = \frac{12740}{5} \\ \: \: \: \: \: = 2548 \: watt \\ hope \: it \: helps[/tex]

Answer:

32000 m

Explanation:

1000m in 1 km, so 32000m in 32 km.

Answer:

32000m

Explanation:

1km=1000m

so 32 kn is equals to 32000m

Answer:

1.5m/s2

Explanation:

F=ma

a=F/m

a=15/10

a=1.5m/s2

Answer:

Its A

Explanation:

Thats because federalists wanted to take away rights. But the fathers wanted to definitely ensure that each person had equal rights and liberty.

Answer:  Force per unit area. Explanation: P = 25/20. P = 5/4 Pascal or 1.25 Pascal

Explanation: is this what you were looking for

Answer:

1298.5watt

Explanation:

Power is defined as the rate at which work is done

Expressed mathematically as;

P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered

Hence for 1 person the power consumption is ;

Note weight =mass× acceleration of free fall due to gravity,g

g is known as 9.8m/S2

Time taken is 1min which is 60 sec

60 ×9.8 × 5.3/60 = 51.94 watt

Hence for 25 persons we have

25 × 51.94 =1298.5watt

1.3kilo watt( kilo is 1000)

The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

The Work Done is calculated as:

Force (F) = 60 × 9.8

Distance (d) = 5.30 meters

Work (W) = F × d

Work (W) = (60 × 9.8) × 5.30

Work (W) = 3,080.4 joules

The Power is calculated as:

Time (t) = 1 minute

Power (P) = Work / Tim (t)

Power (P) = 3,080.4 / 60

Power (P) = 51.34 watts

Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

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Explanation:

"1 meter per second per second" means acceleration of an object. It is equal to the rate of change of velocity. Its SI unit is [tex]m/s^2[/tex].

It is simply given by :

[tex]a=\dfrac{dv}{dt}[/tex]

dv is change in velocity

dt is small interval of time

"1 meter per second per second" means that the velocity of an object can increase by 1 meter per second.

Answer:

The difference in tension,  between adjacent sections of the pull cable at the given conditions is 17.701 kN

Explanation:

We take the cars as moving upwards such that the resultant pulling force on the car, F, along the cable is given by the relation

[tex]F_{car}[/tex] = Upward tension force,  [tex]Tension_{(upwards)}[/tex] - Downward tension force, [tex]Tension_{(downwards)}[/tex] - Component of the weight of the car along the taut cable

The parameters given are;

Mass of car, m = 2750 kg

Angle of inclination of taut cables, θ = 35°

The upward acceleration of the car, a = 0.81 m/s²

Given that the weight is acting vertically downwards, we have;

Component of the weight of the car along the taut cable = m × g × sin(θ)

∴ Component of the weight of the car along the taut cable = 2750 × 9.81 × sin (35°) = 15473.66 N

We therefore have;

[tex]F_{car}[/tex] =  [tex]Tension_{(upwards)}[/tex] - [tex]Tension_{(downwards)}[/tex] - 15473.66 N

[tex]F_{car}[/tex]  = m × a = 2750 × 0.81 =  [tex]T_{upwards}[/tex] - [tex]T_{downwards}[/tex] - 15473.66

∴  [tex]Tension_{(upwards)}[/tex] - [tex]Tension_{(downwards)}[/tex] = 2750 × 0.81 + 15473.66 = 17701.16 N

Hence the difference in tension,  [tex]Tension_{(upwards)}[/tex] - [tex]Tension_{(downwards)}[/tex] between adjacent sections of the pull cable if the cars are at the maximum permissible mass and are being accelerated up the incline = 17701.16 N or 17.701 kN.

Given :

The frequency of travelling sound = f = 282 Hz

The speed of travelling sound = c = 343 m/s

To Find :

The distance of waves crests

Solution :

∵ wavelength of sound wave =

i.e         =

Or,        =

∴          = 1.12   m

So, The wavelength of sound wave =   = 1.21  m

Thus , The distance of waves crests =wavelength of sound wave = 1.21 m

Hence, The distance of waves crests is 1.21 meters    Answer

Answer: Find the answer in the explanation

Explanation:

The music playing on the radio will be heard through the sound waves coming from the radio.

The travelling wave will obey Newton's first law of motion which state that:

An object or particle will remain at rest or continue its linear motion in a straight line except an external force is applied.

The external force through wind could affect the travelling of the sound waves. Since the wave is longitudinal wave. That is, it needs a medium (air) for its propagation.

Answer:

7.61 m/s

Explanation:

Given:

Δx = 87.4 m

v = 21.0 m/s

t = 6.11 s

Find: v₀

Δx = ½ (v + v₀) t

87.4 m = ½ (21.0 m/s + v₀) (6.11 s)

v₀ = 7.61 m/s

71.6

Δx = 87.4 m

v = 21.0 m/s

t = 6.11 s

Find: v₀

Δx = ½ (v + v₀) t

87.4 m = ½ (21.0 m/s + v₀) (6.11 s)

v₀ = 7.61 m/s

Answer:

[tex]T_{m }[/tex] = 4.86 s

[tex]T_{e}[/tex] = 1.98 s

Explanation:

Given:

Length = l = 1 m

Acceleration due to gravity of moon = [tex]g_{m}[/tex] = 1.67 m/s²

Acceleration due to gravity of Earth = [tex]g_{e}[/tex] = 10 m/s²

Required:

Time period = T = ?

Formula:

T = 2π [tex]\sqrt{\frac{l}{g} }[/tex]

Solution:

For moon

Putting the givens,

T = 2(3.14) [tex]\sqrt{\frac{1}{1.67} }[/tex]

T = 6.3 [tex]\sqrt{0.6}[/tex]

T = 6.3 × 0.77

T = 4.86 sec

For Earth,

Putting the givens

T = 2π [tex]\sqrt{\frac{1}{10} }[/tex]

T = 2(3.14) [tex]\sqrt{0.1}[/tex]

T = 6.3 × 0.32

T = 1.98 sec