A cycle travels along a circular track of diameter 42 m. Calculate the distance travelled and the displacement of the cycle in (a) Half round (b)One round.



please explain it to me clearly,its so confusing
i will give brainlist to the one who explains it clearly​

Answers

Answer 1

Answer:

(a) i) The distance travelled by the cycle in half round is approximately 65.97 m

ii) The displacement is 42 m

(b) (i) The distance travelled in one round is approximately 131.95 m

(ii) The displacement of the cycle in one round is 0

Explanation:

The diameter of the track through which the cycle travels, D = 42 m

(a) i) Half round is the motion of half the length of the circular path

The distance travelled by the cycle in half round = The length of half the circular track = (1/2) × π × D

∴ The distance travelled by the cycle in half round = (1/2) × π × 42 m = 21·π m ≈ 65.97 m

ii) The displacement half round = The change in the location of the cycle = The difference between the start and stop locations of the cycle on a straight line after half round

The angle at the center of the circular path the cycle turns in half round  = 180°

Therefore, the path between the start and stop location of the cycle in half round = The diameter of the circular track

The displacement of the cycle in half round = The diameter of the circular track = 42 m

(b) (i) The distance travelled in one round = The perimeter of the circular track = π·D

∴ The distance travelled in one round = π × 42 m ≈ 131.95 m

(ii) The displacement of the cycle in one round = The change in the location of the cycle

The start and stop location of the cycle after moving one round is the same, therefore, there is no change in the location of the cycle.

Therefore we have;

The displacement of the cycle in one round = 0 (no change in location of the cycle)


Related Questions

Write down the conservation of momentum?​

Answers

Law of conservation of momentum states that when two objects collide with each other , the sum of their linear momentum always remains same or we can say conserved and is not effected by any action, reaction only in case is no external unbalanced force is applied on the bodies.
Let,
m
A

= Mass of ball A
m
B

= Mass of ball B
u
A

= initial velocity of ball A
u
B

= initial velocity of ball B
v
A

= Velocity after the collision of ball A
v
B

= Velocity after the collision of ball B
F
ab

= Force exerted by A on B
F
ba

= Force exerted by B on A
Now,
Change in the momentum of A= momentum of A after the collision - the momentum of A before the collision
= m
A

v
A

−m
A

u
A


Rate of change of momentum A= Change in momentum of A/ time taken
=
t
m
A

v
A

−m
A

u
A




Force exerted by B on A (F
ba

);
F
ba

=
t
m
A

v
A

−m
A

u
A



........ [i]
In the same way,
Rate of change of momentum of B=
t
m
b

v
B

−m
B

u
B




Force exerted by A on B (F
ab

)=
F
ab

=
t
m
B

v
B

−m
B

u
B



.......... [ii]
Newton's third law of motion states that every action has an equal and opposite reaction, then,
F
a

b=−F
b

a [ ' -- ' sign is used to indicate that 1 object is moving in opposite direction after collision]

Using [i] and [ii] , we have
t
m
B

v
B

−m
B

u
B



=−
t
m
A

v
A

−m
A

u
A




m
B

v
B

−m
B

u
B

=−m
A

v
A

+m
A

u
A


Finally we get,
m
B

v
B

+m
A

v
A

=m
B

u
B

+m
A

u
A


This is the derivation of conservation of linear momentum.

A body having uniform velocity has zero acceleration? give reason​

Answers

Answer:

A body having uniform velocity has zero acceleration because

there is not change in velocity.

explain why resistors connected in parallel are called current dividers​

Answers

Explanation:

A parallel circuit is often called a current divider for its ability to proportion—or divide—the total current into fractional parts. Once again, it should be apparent that the current through each resistor is related to its resistance, given that the voltage across all resistors is the same

A simple machine has efficiency 90%. What does it mean? No machine has 109 efficiency,why?​

Answers

Answer:

Efficiency of a machine is 90% this means that the total energy produced to the machine only 90% is useful and given as a output.

Machines are not 100% efficient because some of the work done by a machine is used to overcome friction

.............................

Answers

Dot, dot, dot, dot, lol

The T-chart compares the average temperature and humidity of two different environments. Which of the following correctly labels the environments?

a t-chart with one column labeled A listing: High humidity: 70%, Temperature Range: 2 degrees Celsius (35 degrees Fahrenheit) in the winter to 24 degrees Celsius (75 degrees Fahrenheit); and another column labeled B listing: Low humidity (13-15%), Temperature Range: -18 degrees Celsius (-1 degrees Fahrenheit) to 49 degrees Celsius (120 degrees Fahrenheit)

A is a desert, and B is a tundra.
A is a grassland, and B is a desert.
A is a tundra, and B is a rainforest.
A is a tundra, and B is a swamp.

Answers

Answer:

A turndra B rainforest

Explanation:

is placing a compass near a wire with live electrical current biology, chemistry, or physics?

Answers

The process of PLACING a compass wherever you want it involves Biology.  Biology deals with everything that has to happen for your brain to send instructions to your muscles, your muscles to operate your arm and your hand, and your hand to move the compass to where you want it, while your eyes keep track of what's happening and send course-corrections through your brain.

Once you get the compass there and see it start doing strange things, those EFFECTS are explained by laws of nature that are covered in Physics.

Placing a compass near a wire with live electrical current involves physics. Because, the deflection in magnetic field by the current from the electrical wire is dealt with physics.

What is magnetic field ?

A magnetic field is generated by the field lines originating from a magnet or an electrical  coil. The moving current is always associated with a magnetic field.

A compass acts as a tiny magnet and it deflects to the north in  the absence of an electrical field. If an electric field is brought in contact with the compass the needle will deflect into the direction of the magnetic field from the wire.

The strength of a magnetic field, associated electric field, magnetic flux etc. are more focused in the branches of physics. The magnetic properties of a substance is a physical property.

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Which type of electromagnetic wave is deliberately used in some
circumstances to cause damage to living cells in the human body?
A. Infra-red
B. Gamma rays
C. Microwaves
D. Radio waves.

Answers

Gamma rays

used in radiotherapy

in a cathode-ray tube, particles are fired at the screen. What are these particles

Answers

Thomson's experiments with cathode ray tubes showed that all atoms contain tiny negatively charged subatomic particles or electrons.

Explain why a person travelling in a bus falls forward when bus stops suddenly

Answers

Answer:

Cause of Inertia of Motion

Explanation:

It can be explained as follows...when the moving bus suddenly stops, the lower part of the body of the passenger contact with the bus suddenly comes to rest while the upper part of the body tends to retain its state of motion due to inertia. As a result, the passenger is thrown forward.

b) A force is represented in magnitude and direction as (6N, 250degrees. Find both the vertical and horizontal components of the force.​

Answers

Answer:

Explanation:

To find the horizontal component, the x component specifically, use the formula:

[tex]V_x=Fcos\theta[/tex] and for the vertical component, the y component, use the formula:

[tex]V_y=Fsin\theta[/tex]

where F is the magnitude of the force and theta is the angle in degrees.

For the x-component:

[tex]V_x=6cos250[/tex] so

[tex]V_x=-2.1[/tex] and depending upon whether this is a displacement vector or a velocity vector, the label would be meters/feet or m/s, respectively.

For the y-component:

[tex]V_y=6sin250[/tex] so

[tex]V_y=-5.6[/tex]

out of solid and liquid which has more effect on gravitation​

Answers

Answer:

The effect of gravitation is more in liquid than on solid because inter molecular force of attraction is less in liquid and it is weak than that of solid. ... Whereas in solid the molecule are densely packed together an the inter molecular forces are constantly acting upon one another, this results in higher forces.

What benefits does using this model have over preforming the modeled procedure with physical materials?


Please help!!

Answers

Explanation:

Advantages of physical models include accuracy, safety, visualization, education, and trying things out that would be impossible in the real world due to safety, cost, or practical concerns. You can visualize things that are extremely tiny, happened millions of years ago, or that otherwise can't be viewed directly.

balloon moves backward when air rushes out of it why​

Answers

Answer:

Because the air can move out of the balloon at such a speed, it propells the balloon forward.

Explanation:

SmolFox no longer exists

~Chad~

The action of the balloon pushes against the balloon moving it in the backward direction

What is newton's third law of motion ?

Newton's third law of motion states that every action have a equal and opposite reaction . If object A  exert force on object B , then object B will also exert an equal and opposite force on object A . Forces result from interaction of two bodies .

As we know according to Newton's third law of motion , when the air rushes out and pushes against the air which pushes  the balloon to move in opposite direction , the action of the balloon pushes against the balloon moving it in the backward direction

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The net force determines how and if and object will

Answers

Answer:

Move. It also determines the total amount of force put on an object

Explanation:

The question is incomplete, the complete question is;

The net force determines how and if an object will?

A) make a balanced force

B) change its mass

C) move or accelerate

When unbalanced forces act on an  object, the object moves  or accelerates. The correct answer is option C: move or accelerate

Force is considered as a push or pull. Unbalanced forces refers to a system of forces acting in opposite direction and are not equal in magnitude.

Unbalanced forces cause an object to move or accelerate in the direction of the larger force.

Hence, The net or resultant force determines how and if an object will move or accelerate when under the action of unbalanced forces.

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A golf club hits a 0.04551 kg golf ball off a golf tee. The club is in contact with the ball for 0.020 s, and the force applied by the club is 115 N. What is the speed of the ball as it leaves the tee

Answers

Answer:

v = 50.5 m/s

Explanation:

F = (m)(^v/^t)

115N = (0.04551kg)(v/(0.020s))

2,526.917161 m/s² = v/(0.020s)

v = 50.53834322 m/s

v = 50.5 m/s

Which quantity can be measured directly using a micrometer screw gauge? A the area of a sheet of paper B the mass of a sheet of paper с the thickness of a sheet of paper D the volume of a sheet of paper​

Answers

Answer: C) the thickness of a sheet of paper.

Explanation:

A micrometer screw gauge is a tool that measures distances (in order of millimeters), from this, we can see that the correct option is C: the thickness of a sheet of paper.

Now let's expand on this.

Knowing that the micrometer only can measure distances, we need to analyze which of the options is only a distance.

Notice that while area and volume have similar units, are really different things.

So analyzing the options we have:

A) "the area of a sheet of paper"

To find the area we need two measures (length and width) and then multiply this, but with a micrometer, we never measure the length of a sheet of paper (the maximum measure that you can get in a micrometer is of a few centimeters).

B) "the mass of a sheet of paper"

We can't measure mass with a micrometer.

C) " the thickness of a sheet of paper"

The thickness of a sheet of paper is of the order of 1mm, so we can easily measure this with a micrometer screw gauge.

D) " the volume of a sheet of paper​"

We have a similar problem as the one seen in A.

Then the correct option is C.

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State one effect of increase in heat for a temperature range of 50°C to 100°C
on Plastic

Answers

Answer:

why is fraction called a necessary evil

The heat for a temperature in plastic increases at the range of 50°C to 100°C then the plastic decreases its stiffness or flexural modulus.

It is given that the temperature is increased from 50°C to 100°C that means temperature is increasing.

It is required to state the effect of increase in heat on plastic.

What will be the effect of increase in heat for a temperature range of 50°C to 100°C on Plastic?

The plastic starts to lose its stiffness or we say that it converts into a softened material as long as we increase the temperature of the material.

So if we increase the temperature too much or exceed above the limit of temperature range then it will distort.

Also there are many qualities that can be affected by increasing the temperature like mechanical property, material fatigue or chemical phenomenon.

Therefore, the heat for a temperature range of 50°C to 100°C

Plastic increases then the plastic decreases its stiffness or flexural modulus.

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what is the kinetic energy of a 2,000-kg car moving at 20m/s

Answers

Answer:

400k

Explanation:

Formula for KE = [tex]\frac{1}{2} mv^{2}[/tex]

Plug in:

KE =  [tex]\frac{1}{2} mv^{2}[/tex]

KE =  [tex]\frac{1}{2}[/tex] × 2000 × 20^2

Solve:

1000 × 400 = 400,000 or 400k

Hope this helped.

Answer : 400000J OR 4×10^4J

Kinetic energy= 1/2mv^2

Here, m=2000kg; V=20m/s

1/2×2000×20×20=400,000J

An object is moving across a surface, but it does not gain or lose speed. Which best describes the object's force?
O The net force is positive.
O The net force is zero.
The positive force is greater than the negative force.
O The negative force is greater than the positive force.
Mark this and retum
Save and Exit
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Submit

Answers

Answer:

The net force is positive

Explanation:

This would mean that altogether, the force would cause the object to always be going the same way, and if it is not gaining or losing speed, we can say the force has not changed and that the object has reached terminal velocity. It is not correct to say that the positive is greater than the negative as friction also causes some type of effect and it is neither positive nor negative

2. ¿Puede haber trabajo en un sistema si no hay movimiento
a. Sí, si hay una fuerza siempre.
b. Sí, ya que el movimiento es sólo relativo.
c. No, ya que un sistema que no se mueve no tiene energía.
d. No, porque la ecuación de trabajo lo define.

Answers

Answer:

d. No, porque la ecuación de trabajo lo define.

Explanation:

En Física, el trabajo realizado se puede definir como la cantidad de energía transferida cuando un objeto o cuerpo se mueve a lo largo de una distancia debido a la acción de una fuerza externa.

Matemáticamente, el trabajo realizado viene dado por la fórmula;

[tex] W = F * d [/tex]

Dónde;

W es el trabajo realizado.F representa la fuerza que actúa sobre un cuerpo. d representa la distancia recorrida por el cuerpo.

Por lo tanto, podemos deducir de la definición de trabajo y su fórmula que el trabajo se realiza cuando un objeto (cuerpo) se mueve una distancia o experimenta cualquier forma de desplazamiento mientras transfiere energía.

(9x10^2) + (1x10^2)
10x10^4
10x10^3
1x10^4
1x10^3

Answers

Answer:

10 x 10⁴

I hope it's helps you

Answer:

Yes

Explanation:

balance the following equations: CUCO3+H2SO4- CUSO4+H2O+CO2​

Answers

Answer:

It is already balanced

Explanation:

It is already balanced

can someone help me asap please​

Answers

Answer:

Resultant force is 20 N

Explanation:

Resolving vertically:

[tex]{ \sf{F_{y} = (8 \cos 30 \degree) + (12 \cos 30 \degree) }} \\ { \sf{ \sum F_{y} = 17.3 \: newtons }}[/tex]

Resolving horizontally:

[tex]{ \sf{F_{x} = (8 \sin 30 \degree) + (12 \sin 30 \degree) }} \\ { \sf{ \sum F _{x} = 10 \: newtons}}[/tex]

Resultant force:

[tex]{ \boxed{ \bf{F = \sqrt{ {F _{x} }^{2} + {F _{y} }^{2} } }}} \\ { \sf{F = \sqrt{ {17.3}^{2} + {10}^{2} } }} \\ { \sf{F = \sqrt{399.29} }} \\ F = 19.98 \approx20 \: newtons[/tex]

A motorcycle moving with velocity and 30m/s accelerate with 4m/s2 to gain velocity of 6mls. calculate its time to gain that velocity​

Answers

Initial velocity=30m/s=uAcceleration=a=4m/s^2Final velocity=v=6m/sTime=t

Using first equation of kinematics

[tex]\boxed{\sf v=u+at}[/tex]

[tex]\\ \sf\longmapsto t=\dfrac{v-u}{a}[/tex]

[tex]\\ \sf\longmapsto t=\dfrac{30-6}{4}[/tex]

[tex]\\ \sf\longmapsto t=\dfrac{24}{4}[/tex]

[tex]\\ \sf\longmapsto t=6s[/tex]

A 210 Ohm resistor uses 9.28 W of power. How much current flows through the resistor? (unit=A)

Answers

Answer:

.21

Explanation:

i see everyone got it wrong so ill give you the answer, good luck :)

(2) Why do spring balance shows wrong reading after they had been uses for a long time?​

Answers

This is because of continuous usage, the wire loses its elasticity and dose not regain it original dimension

Answer:

When a spring balance has been used for a long time, the spring in the balance fatigued and there is loss of strength of the spring. In such a case, the extension in the spring is more for a given load and hence the balance gives wrong readings.

Q: Riri wants to bake a cake. She adds flour, sugar, egg, baking soda, and yeast into a bowl and mixed them together. After all the ingredients are mixed, she leaves the dough for 30 minutes and the dough starts to rise. Which changes Occurred in this process? Explain your reason.​

Answers

Answer:

I don't know what you mean about which changes occurred in this process but if its why the dough starts rising then its caused by the carbon dioxide in baking soda and yeast which is a fungus

Answer:

When baking,flour is mixed with water,the other ingredients and yeast to form a paste called a dough.what happens is that the zymase enzyme from the yeast acts on the sugars to form carbon dioxide and alcohol.the carbon dioxide begins to form bubbles in the dough causing it to rise..

I hope this helps

A man sees a deer in the road and slams on his brakes. If he is traveling at 45.2 m/s and comes to a stop in 2.74 s, what is his acceleration? O -6:02 m/s2 -0.0606 m/s2 -47.9 m/s2 0 -16.5 m/s2 ​

Answers

Answer:

16.50 m/s²

Explanation:

initial velocity(u)=45.2 m/s

final velocity(v)= 0 (it stops)

time taken(t)= 2.74 s

now,we have

acceleration(a)= (v-u)/t

= (0-45.2 m/s)/2.74s

= -45.2 m/s / 2.74s

= -16.50 m/s²

Answer:

[tex]\boxed {\boxed {\sf -16.5 \ m/s^2}}[/tex]

Explanation:

We are asked to find the acceleration of a man driving. Acceleration is the change in velocity over the change in time. Acceleration is calculated with the following formula.

[tex]a= \frac{v_f- v_i}{t}[/tex]

The driver's initial velocity is 45.2 meters per second. His final velocity is 0 meters per second because he came to a stop. He stopped in 2.74 seconds.

[tex]\bullet \ v_f= 0 \ m/s \\\bullet \ v_i= 45.2 \ m/s \\\bullet \ t= 2.74 \ s[/tex]

Substitute these values into the formula.

[tex]a= \frac{0 \ m/s - 45.2 \ m/s }{ 2.74 \ s}[/tex]

Solve the numerator by subtracting.

[tex]a= \frac{- 45.2 \ m/s }{ 2.74 \ s}[/tex]

[tex]a= -16.49635036 \ m/s^2[/tex]

The original measurements of velocity and time have 3 significant figures, so our answer must have the same. For the number we calculated, that is the tenths place. The 9 in the hundredth place tells us to round the 4 in the tenths place up to a 5.

[tex]a \approx -16.5 \ m/s^2[/tex]

The acceleration is approximately -16.5 meters per second squared. The acceleration is negative because the man slowed down and came to a stop.

A liquid has a density of 2 g/mL, the volume is measured at 20 mL, what is the mass of the liquid?

Answers

Answer: 40 grams, if it is two grams per mL and you have 20 mL, you multiply 2 grams/mL and you get the answer

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