In Ancient Greece, athletes competing in the long jump used handheld weights called halteres to lengthen their jumps. You are a 78 kg history major on the track and field team and decide to try this strategy. You jump at 10.3 m/s, 22.8 degrees above the horizontal. At the peak of your jump you throw two 5.5 kg masses horizontally behind you such that their velocity is zero in the ground's reference frame. What distance do the halteres add to the jump in m

Answers

Answer 1

The halter add the distance to the jump in meters is 0.55 m.

What is projectile?

When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion is called the projectile.

The magnitude of velocity u =10.3 m/s, angle of jumping θ = 22.8 degrees.

Components of velocity in x and y direction are

Vx = 10.3 cos 22.8 = 9.5 m/s

Vy = 10.3 sin 22.8 = 4 m/s

Maximum Range of athlete achieved using halter is given by

R = u²sin2θ /g

where, u = initial velocity, θ is the angle of projection and g is the gravitational acceleration.

Substituting the values, we get

R = (10.3)² sin(2 x 22.8 °) / 2 x 9.81

R = 7.75m

At the peak of jump you throw two 5.5 kg masses horizontally behind you such that their velocity is zero in the ground's reference frame.

The momentum is conserved in this situation,

(M+2m)Vxo =MVx'

Vx' = (M+2m)/M x Vxo'

Change in x component of velocity ΔVx = Vx' -Vxo

Vxo = 2m/M x Vx

Vxo = 2 x 5.5 /78 x 9.5

Vxo = 1.34 s

Maximum height gained when final velocity is zero

Vy = 0 = Vyo -gt

time t = Vyo/g = 4/9.8 = 0.41s'

Increase in range by using of halters is

ΔR = ΔVx' x t

ΔR = 1.34 x 0.41

ΔR =0.55m

Thus, the halter add the distance to the jump in meters is 0.55 m.

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Related Questions

can someone do this for me please?! Just the answer pls

Answers

4.  The answer is that you will see the same sights as when you are resting.  That is because you and mirror are in rest one relative another.  If your relative speed is 0, it doesn't matter how quickly you both travel in relation to other objects.

5. The relativistic effects will not alter if the speed of light is reduced to 50m/s. According to the principle of constancy (2nd postulate), the upper limit of speed is 50m/s, which will be impossible for material objects to achieve because as the speed of light decreases, the sizes of humans and all other materials decrease as well, decreasing our relativistic velocity and thus making c=50m/s unattainable for material objects, and thus the relativistic effects will remain unchanged. A pedestrian must use caution when crossing the roadway. Let's assume you see a car arriving at 60 kilometers per hour, or 16.666 meters per second, from a distance of 100 meters. It'll take 6 seconds to arrive, giving you plenty of time to cross the street. Because the light reflected from the car to your eyes left the car two seconds ago, the car will reach at your location in four seconds and hit you (if the car is travelling in the lane on the far side of the road). It looks to you that approaching automobiles traveling at the legal limit are traveling at a speed of 100 / 4 = 25 m/s, which is 50% faster than the genuine speed of 16.666 m/s. When considering whether or not it is safe to cross the road, one would quickly become accustomed to this.

6.

what forces are acting on the book?

Answers

Answer:

please specify you question well

Struggling with this, pls answer:( Brainliest to the (FIRST) right answer

Answers

Answer:

c. a and c

Explanation:

ammeters are connected in series to measure charge/current

A parallel-plate capacitor is connected to a battery. After it becomes charged, the capacitor is disconnected from the battery and the plate separation is increased. What happens to the potential difference between the plates

Answers

Answer:

V = E * d      voltage equals charge on plates * separation

F = E q     force on charge q equals electric field * charge

W = F * d     work done equals force times the distance moved

From the very first equation, the voltage depends on the distance between the plates - while the electric field remains constant

The potential difference will decrease as the separation of the plates increases because W remains constant - work done in moving test charge from one plate to another is constant - voltage is constant

The sun produces visible light with different wavelengths. As wavelengths become longer,which of the following properties of the waves decreases?

Answers

Answer:

As wavelengths increase, the frequency of waves decreases.

Explanation:

As wavelengths increase, the frequency of waves decreases.

When there are longer waves, you could think of them as taking up more time to pass. For example, if there are really long waves (not talking about amplitude) at a beach, you could watch one up-and-down wave for a long time. If there are really short waves, you could watch many waves go by in a short time frame.

Which two statements are true of electromagnetic waves?

Answers

Answer:

I think it is A and D

Explanation:

A student jumps off a sled toward the NORTH after it stops at the bottom of an icy hill. Based on Newton's third law of motion, in which direction will the sled most likely move as the student jumps off?
A. North
B. West
C. East
D. South

Answers

When the student the sled jumps off toward the north , the sled most likely move towards the south.

What is the Newton third law?

According to the Newton third law of motion, action and reaction are equal and opposite. This means that the direction of the reaction force must also be opposite to that of the action.

As such, when the student the sled jumps off toward the north , the sled most likely move towards the south.

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When electricity is “used” or we say that energy is “wasted,” what is actually happening?

Answers

Answer:

Wasted energy is energy that is not usefully transferred or transformed. Energy cannot be made or destroyed. Energy is transformed into a different form that can be used. When energy is transformed or transferred only part of it can be usefully transformed or transferred.

can anyone solve this quick?​

Answers

Answer:

yes

Explanation:

First show me your or

The law of conservation of momentum states that, if left alone, what happens to the total momentum of two interacting objects that make up a system?

Answers

Answer:

The momentum of the colliding bodies before and after the collision remains constant.

Explanation:

The momentum is constant.

Which statement describes the magnetic field inside a bar magnet?
O It points from north to south.
• It points from south to north.
O It forms loops inside the magnet.
• There IS no field within the magnet.

Answers

The statement that describes the magnetic field inside a bar magnet is as follows: it points from north to south.

What is a bar magnet?

A bar magnet is a permanent magnet of rectangular shape.

A magnet generally possess a magnetic field, which is a condition in the space around a magnet which there is a detectable magnetic force and the presence of two magnetic poles.

A bar magnet like every other magnet possesses a magnetic field that points from the north pole to the south pole.

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Where do the three rays in a ray diagram start?

at a focal point on the opposite side of the lens
at three different points on the object
at a focal point on the same side of the lens
at a single point on the object

Answers

The three rays in a ray diagram start from a single point on the object.

What is focal point of a lens?

The focal point of a lens is the point where light rays parallel to the axis are brought to a point.

The focal point is responsible for the converging of light rays coming from the object but the rays do not start here.

Thus, the three rays in a ray diagram start from a single point on the object.

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Answer:

D

Explanation:

Hypothesis: In this section, please include the predictions you developed during your lab activity. These statements reflect your predicted outcomes for the experiment.
Moon One contains the elements
Element 1


Element 2




Moon Two contains the elements
Element 1


Element 2

Answers

The lab activity is not found here but a hypothesis is a given explanation of an observation from the real world.

What is a hypothesis?

A hypothesis is a scientific and testable explanation for an observation made by observing the real world.

Hypotheses must be falsifiable, it means that they can be confirmed or rejected by using the scientific method.

In conclusion, the lab activity is not found here but a hypothesis is a given explanation of an observation from the real world.

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Throughout the spring and summer, trees take nutrients
from the soil. these nutrients are spread throughout the
tree. in the autumn, some of these nutrients are lost
when the tree drops its leaves.
in a young, rapidly growing forest, scientists calculated
that 23 kilograms of a nutrient are taken up from the soil
by the trees in one year. in the autumn, the leaves that
fall contain 21 kilograms of the nutrient.
18 the trees can be considered a subsystem of the
larger ecosystem. if there are no other inputs or outputs from the trees, how much of the nutrient
is added to the tree subsystem (stored in the trees) in this year?
a. 2 kg
b. 21 kg
c. 23 kg
d. not enough information is available to determine.
(help!!!!) science

Answers

The amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.

What are plant nutrients?

Plants nutrients are the mineral elements required by plants for their growth and development.

Plant nutrients are mostly obtained from the soil as well as from the atmosphere.

Based on the data provided, each tree will absorb 23 - 21 Kg nutrients = 2 kg of nutrients

18 trees will absorb 18 × 2 = 36 Kg of nutrients.

Therefore, the amount of nutrients added to the tree subsystem in one year after leaf fall is 36 kg of nutrients.

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What conclusions can you draw about how objects can exert forces on each other even when they are not in contact? write an evidence-based claim

Answers

The conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.

What is a non contact force?

A non contact force is a type that occurs when two objects that are not in contact exerts force on each other.

This type of force is possible because of gravitational force of Earth.

Thus, the conclusions that can be drawn about how objects can exert forces on each other even when they are not in contact is due to Earth's gravitational force as proposed by Newton.

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Which arrow represents the change of state described
above?
M
N
P

Q

Answers

Answer: The Q arrow

Explanation: when the solid is heated it changes into a liquid state first this action represented the Q arrow

Answer:

Its D

Explanation:

Bc i got it right on edge

How does chemical bonding work?

Answers

Answer:

A chemical bond is a force of attraction between atoms or ions. Bonds form when atoms share or transfer valence electrons. Valence electrons are the electrons in the outer energy level of an atom that may be involved in chemical interactions. Valence electrons are the basis of all chemical bonds.

The distance between a charge and the source of an electric field changes from 3 mm to 6 mm. as a result of the change, the electric potential energy of the charge is .

Answers

The electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.

What is electric potential energy?

Electric potential energy can be defined as the energy needed to move a charge against an electric field.

It is calculated using the formula;

U = Kq1 q2 ÷ r

Where Q = electric potential energy

k = Coulombs constant

q1 and q2 = charges

r = distance of separation

Electric potential energy is inversely proportional to the distance of separation of the charges.

If the distance of the charges changes from 3mm to 6mm, then the electric potential energy of the charges is reduced because it decreases with increase in the distance of the charges.

Therefore, the electric potential energy of the charge is reduced because it decreases with increase in the distance between charges.

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Answer: B

Explanation: divided by 2

Danielle is doing some diy. she uses a 1.2kw electric saw for 20 minutes and then a 1000w electric sander for half an hour. which job is the more expensive in terms of electricity used - sawing or sanding?

Answers

Based on the calculations, the electric sander (sanding) is the more expensive in terms of electricity used.

How to determine the more expensive?

Mathematically, the quantity of energy consumed by an electrical device can be calculated by using this formula:

Energy consumption = power × time

For the electric saw, we have:

Power = 1.2 kW = 1.2 × 1000 = 1,200 Watts.Time = 20 minutes.

Substituting the given parameters into the formula, we have;

Energy consumption = 1,200 × 20

Energy consumption = 24,000 Joules.

For the electric sander, we have:

Power = 1000 Watts.Time = half-hour = 30 minutes.

Substituting the given parameters into the formula, we have;

Energy consumption = 1,000 × 30

Energy consumption = 30,000 Joules.

Therefore, the electric sander (sanding) is the more expensive in terms of electricity used.

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Answer: sanding

Explanation:

Energy used by saw = power × time = 1,200W × 1,200s = 1,440,000J.

Energy used by sander = power × time = 1,000W × 1,800s = 1,800,000J.

The sander uses more energy.

A metal sign for a car dealership is a thin, uniform right triangle with base length b and height h. the sign has mass m.

required:
a. what is the moment of inertia of the sign for rotation about the side of length h?
b. if m = 4.40 kg ,b = 1.30 m and h = 1.30 m , what is the kinetic energy of the sign when it is rotating about an axis along the 1.30-m side at 2.40 rev/s ?

Answers

(a) The moment of inertia of the sign for rotation about the side of length h is 1.24 kgm².

(b) The kinetic energy of the sign when it is rotating about an axis is 141.37 J.

Moment of inertia of the triangular sign

The moment of inertia of the sign for rotation about the side of length h is calculated as follows;

I = 2 x ¹/₃M(b/2)²

I = 2 x ¹/₃Mb² x ¹/₄

I = ¹/₆Mb²

I = ¹/₆ x 4.4 x 1.3²

I = 1.24 kgm²

Rotational kinetic energy of the ball

K.E(rot) = ¹/₂Iω²

where;

ω is angular speed = 2.4 rev/s = 2.4 x (2π rad)/s = 15.1 rad/s

K.E(rot) = ¹/₂(1.24)(15.1)²

K.E(rot) = 141.37 J

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A 4.0-W resistor, an 8.0-W resistor, and a 10.0-W resistor are connected in series across an 11-V battery. What is the total voltage drop across the 4.0-W and 8.0-W resistors?

Answers

The answer to this is -6

PLANETARY MOTION: When the masses of two objects are doubled, which of the following would happen to the gravitational force between the two objects? ​

Answers

Answer:

So as the mass of either object increases, the force of gravitational attraction between them also increases. If the mass of one of the objects is doubled, then the force of gravity between them is doubled.

Explanation:

Welcome

In the reaction below, how would adding more of product C affect the equilibrium of the system? (2 points) A + B ⇄ C + D Group of answer choices Shift it to the right toward the products. Shift it to the left toward the reactants. Equally create more products and reactants. It would have no effect.

Answers

Answer:

identify the action reaction force in the following cases

a boy walking on the ground

firing a bullet from the gun

a book lying on the table

a boy swimming in the swimming pool

launching of a rocket from the earth surface

Answer:

A Shift it to the right towards the products

Explanation:

If more reactants or products are added to a reaction system at equilibrium, the equilibrium will shift away from what was added to lower its concentration. If a reactant or product was removed from a reaction system at equilibrium, the equilibrium systems will shift to replace some of what was removed.

Which of the following would have the smallest coefficient of kinetic friction when slid along your hang.

a Bar of Soap
carpet
sand paper

Answers

A soap bar because the material of a carpet or sandpaper is more rough than a soapbar and thus has a higher coefficient of friction.
Soap is the obvious choice

An engineer who is helping to design a tall building is studying the frequencies that seismic waves travel through the ground that the building will be built on. Why would she want to know about the frequencies of seismic waves?

Answers

The frequencies of seismic waves will check if the presence of the waves have made buildings with weak foundations to be prone to destruction.

What is Frequency?

This is defined as the number of occurrences of a repeating event per unit of time and the unit is hertz.

Knowing the frequency of the seismic wave is a good safety precaution which has to be taken to prevent loss of lives and properties.

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Answer:

If a seismic wave has the same frequency as the resonance of a building, the risk of damage is greatest.

Explanation:

can you guys help me please
brainliest if correct answer​

Answers

All I know is that 5 is melanin

Direction:choose only the letter of your answer in the box.
A-Everyday
B-4-6 Times a week
C-2-3 Times a week
D-cut Down on

Answers

Answer:

A,

Explanation:

im going to choose a because they should probably still water it so it doesn’t die at least until it grows or gets a little bigger.

Where does solar energy wastes go

Answers

Answer:

Space

Explanation:

Solar energy is energy from the Sun. This energy is in form of radiation heat and light. When solar energy reaches a surface it bounces off. This is because they are radiation waves.

A 20 gram bullet exits the rifle at a speed of 985 m/s. the gun barrel is 0.8 m long. what
was the force during the rocket's launch?

Answers

Hello!

We can use the following relationship:

[tex]\Delta KE = W = F \cdot d[/tex]

ΔKE = Change in Kinetic Energy (J)
W = Work done on object (J)

F = Force (N)

d = distance of which the force is applied to the object. (This is equivalent to the length of the gun barrel, or 0.8 m)

Also, recall that:
[tex]KE = \frac{1}{2}mv^2[/tex]

m = mass of bullet (0.02 kg)

v = velocity of bullet (vfinal = 985 m/s, vinitial = 0 m/s)

We can now solve.

[tex]\Delta KE = F \cdot d\\\\KE_f - KE_i = F \cdot d\\\\\frac{1}{2}(0.02)(985^2) - \frac{1}{2}(0.02)(0^2) = (0.8)F\\\\9702.25 = 0.8F\\\\F = \frac{9702.25}{0.8} = \boxed{12127.813 N}[/tex]

Mr. huff and puff is getting ready to blow up a pool float because he can't find the air pump. he takes a big breath in after exhaling normally. the air he takes in is the

Answers

it’s just the second time my boy
The air he takes in is the inspiratory capacity.
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