An 80-kg quarterback jumps straight up in the air right before throwing a 0.43-kg football horizontally at 15 m/s . How fast will he be moving backward just after releasing the ball?

Sort the following quantities as known or unknown. Take the horizontal direction to be along the x axis.

mQ: the mass of the quarterback
mB: the mass of the football
(vQx)i: the horizontal velocity of quarterback before throwing the ball
(vBx)i: the horizontal velocity of football before being thrown
(vQx)f: the horizontal velocity of quarterback after throwing the ball
(vBx)f: the horizontal velocity of football after being thrown

Answers

Answer 1

Answer:

vBxf = 0.08625m/s

Explanation:

This is a problem about the momentum conservation law. The total momentum before equals the total momentum after.

\(p_f=p_i\)

pf: final momentum

pi: initial momentum

The analysis of the momentum conservation is about a horizontal momentum (x axis). When the quarterback jumps straight up, his horizontal momentum is zero. Then, after the quarterback throw the ball the sum of the momentum of both quarterback and ball must be zero.

Then, you have:

\(m_Qv_{Qxi}+m_{Bxi}v_{Bxi}=m_Qv_{Qxf}+m_{Bxf}v_{Bxf}\)    (1)

mQ: the mass of the quarterback = 80kg

mB: the mass of the football = 0.43kg

(vQx)i: the horizontal velocity of quarterback before throwing the ball = 0m/s

(vBx)i: the horizontal velocity of football before being thrown = 0m/s

(vQx)f: the horizontal velocity of quarterback after throwing the ball = ?

(vBx)f: the horizontal velocity of football after being thrown = 15 m/s

You replace the values of the variables in the equation (1), and you solve for (vBx)f:

\(0\ kgm/s=-(80kg)(v_{Bxf})+(0.46kg)(15m/s)\\\\v_{Bxf}=\frac{(0.46kg)(15m/s)}{80kg}=0.08625\frac{m}{s}\)

Where you have taken the speed of the quarterback as negative because is in the negative direction of the x axis.

Hence, the speed of the quarterback after he throws the ball is 0.08625m/s


Related Questions

A 5 kW, 230 V motor draws a current of 24 A from the supply. Determine the efficiency of this motor.

Answers

The efficiency of motor is 90.58%.To determine the efficiency of the motor, we need to calculate the input power and the output power, and then divide the output power by the input power

The input power can be calculated using the formula:

Input Power = Voltage × Current

Given that the voltage is 230 V and the current is 24 A, we have:

Input Power = 230 V × 24 A

Input Power = 5520 W (or 5.52 kW)

The output power of the motor is given as 5 kW (since it is a 5 kW motor).

Now, we can calculate the efficiency:

Efficiency = (Output Power / Input Power) × 100%

Efficiency = (5 kW / 5.52 kW) × 100%

Efficiency ≈ 90.58%

Therefore, the efficiency of this motor is approximately 90.58%.

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how long will it take for a motorcycle to come to a stop from 35 m/s if it slows down with an acceleration of -12m/s/s?

Answers

Answer:

It would take 3 seconds approximately.

Explanation:

since it's going to stop it's final velocity is 0m/s

Now,

acceleration = (v-u)/t

or, a = (0-35)/t

or, -12 = -35/t

or, t = -35/-12

so, t = 2.9 seconds.

How are gases and liquids different from each other? A. Gases can change volume, and liquids cannot. O B. Liquids can change volume, and gases cannot. C. Gases can change shape, and liquids cannot. D. Liquids can change shape, and gases cannot.​

Answers

Answer:

A.gasses can change volume, and liquids cannot

Explanation:

if you pour a glass of water you don't have to worry about it expanding such that it overflows. however if you air up a ballon you may notice that it becomes lager the warmer it gets and smaller the cooler it gets

1 question I still have about Baroque music​

Answers

Answer:

yes

Explanation:

yesim guessing that yes u still have

Answer:

Baroque Music:

Baroque music is another way to refer to Western classical music composed between approximately 1600 and 1750. Some of the most famous Baroque music composers included Bach, Handel, and Vivaldi.

pa follow at pa brainlest answer na den

1. What were enron failure issue ? What were corporate Governance isues in Enron.​

Answers

The Enron scandal drew attention to accounting and corporate fraud as its shareholders lost $74 billion in the four years leading up to its bankruptcy, and its employees lost billions in pension benefits.

What were Enron failure issue ?

Enron's Board of Directors failed to fulfil its fiduciary duties towards the corporation's shareholders. Secondly, the top executives of Enron were greedy and acted in their own self-interest.

Enron's downfall was attributed to its reckless use of derivatives and special purpose entities. By hedging its risks with special purpose entities which it owned, Enron retained the risks associated with the transactions. This arrangement had Enron implementing hedges with itself.

Enron raised fundamental issues about corporate fraud, accounting transparency, and investor protection.

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The velocity time graph of an object mass 50 g is shown in figure study graph and answer
1)calculate force acting on object in time interval 0-3 seconds
2)calculate the force acting on the object in the time interval 6-10 seconds 
3)Is there any time interval in which no force acts on object.Justify

The velocity time graph of an object mass 50 g is shown in figure study graph and answer1)calculate force

Answers

1) The force acting on the object during the time interval 0-3 seconds is 1/3 N.

2) The force acting on the object during the time interval 6-10 seconds is -0.5 N.

3) There is no time interval in which no force acts on the object.

(i) Force acting on the object in time interval 0-3 seconds. Force acting on the object is equal to the product of its mass and acceleration, i.e.,F = ma.

In the given velocity-time graph, the acceleration of the object can be determined by determining the slope of the velocity-time graph from 0 to 3 seconds.

Slope = (change in velocity) / (change in time)= (20-0) / (3-0) = 20/3 m/s^2

Acceleration, a = slope= 20/3 m/s^2

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × 20/3= 1/3 N.

Therefore, the force acting on the object during the time interval 0-3 seconds is 1/3 N.

(ii) Force acting on the object in time interval 6-10 seconds. Similar to the first question, the force acting on the object in time interval 6-10 seconds can be determined by determining the acceleration of the object during this time interval.

The slope of the velocity-time graph from 6 seconds to 10 seconds can be determined as follows:

Slope = (change in velocity) / (change in time)= (-20-20) / (10-6) = -40/4= -10 m/s^2 (negative sign indicates that the object is decelerating)

Mass of the object, m = 50 g = 0.05 kg

∴ Force acting on the object, F = ma= 0.05 × (-10)= -0.5 N.

Therefore, the force acting on the object during the time interval 6-10 seconds is -0.5 N.

(iii) Time interval in which no force acts on the object. There is no time interval in which no force acts on the object. This is because, as per Newton's first law of motion, an object will continue to remain in a state of rest or uniform motion along a straight line unless acted upon by an external unbalanced force.In other words, if the object is moving with a constant velocity, there must be a force acting on the object to maintain its motion.

Therefore, there is no time interval in which no force acts on the object.

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Can some one answer this please NO LINKS !!!
What causes drag?
1: decrease in velocity
2: Bernoulli´s principle
3: friction
4: lift

Answers

Answer:

3) Friction

Explanation:

Hope it helps

Peace out

^^ ^-^ :) ;) ~-~ $-$

2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere​

Answers

Answer:

Motor cortex

Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).

Explanation:

10
Which classification/category requires the player to land an object closest to the designated target as possible?
A. Target
c
B. Net Wall
C. Striking/Fielding
D. Invasion

Answers

The answer for this equation is A

How has the expansion of the universe affected the cosmic microwave background radiation?
A. It has caused it to heat up.
B. It has caused it to cool.
C. It has caused it to blue shift.
D. It has caused it to red-shift.

Answers

Answer:

The expansion of the universe has caused cosmic microwave background radiation to cool. As the universe expands, the radiation is stretched out, causing its wavelength to increase and its temperature to decrease. This phenomenon is known as cosmic microwave background radiation redshift.

the answer is D. It has caused it to red-shift.

Cynthia accelerated from rest at 6.84 m/s for 2.39 seconds. Determine her displacement

Answers

+16.3476m
Distance is speed times time so to calculate her displacement you’re oils multiply the speed by the time

6.84m/s*2.39s
16.3476m
Th displacement would then be 16.3476 meters since the direction is unknown you can add a positive

If the torque required to loosen a nut on a wheel has a magnitude of 40.0 N·m and the force exerted by a mechanic is 133 N, how far from the nut must the mechanic apply the force?

Question 7 options:

1.) 0.15 m
2.) 0.6 m
3.) 0.3 m
4.) 1.2 m

Answers

Answer:

3.) 0.3 m

Explanation:

Given parameters:

Torque  = 40Nm

Force = 133N

Unknown:

Distance from the nut that the mechanic must apply the force  = ?

Solution:

Torque is the force that causes an object to rotate on its axis;

  Torque  = force x distance

   Distance  = \(\frac{40}{133}\)  = 0.3m

A car travels at an average speed of 30.0 m/s for 0.8 hours. What is the total distance traveled in km?

Answers

Answer:

86.4 km

Explanation:

30.0 m/s * (0.8*60*60 sec) = 86,400 m = 86.4 km

Which of the following scenarios would have the MOST friction force between the object and the surface?
A. a 7 kilogram bicycle with rubber tires on concrete
B. a 7 kilogram bicycle with rubber tires on ice
C. a 0.25 kilogram toy car with rubber tires on ice
D. a 0.25 kilogram toy car with rubber tires on concrete

Answers

Answer: A

Explanation: mass and friction are proportional if the mass increases the friction increases

What is the potential energy of a 10 kg rock that is sitting on top of a hill 300m high?

Answers

Answer:

The potential energy would be 29430 Joules.

Which of the following is NOT a geological event caused by the movement of tectonic plates?
A) Sand Dunes
B) Mountain forming
C) Earthquakes
D) Volcanoes

Answers

The answer is A. Mountains form because tectonic plates overlap. Earthquakes form because of the moving of tectonic plates. The moving of tectonic plates causes holes in the crust so magma from the mantle escapes and erupts from volcanoes. I hope I helped!

Let's say you had a pulley system with a mechanical
advantage of 3. If you want to lift a boulder 10 meters off
the ground, how far would you have to pull the rope?

A) 3 meters
B) 10 meters
C) 30 meters
D) 300 meters

Answers

C) 30 meters is an answer

List the 6 questions you may apply to formulating a logical, reasonable perspective to any situation.

Answers

Steps to formulate a logical, reasonable perspective to any situation are: gather information, identify problem, analyze the situation, consider assumptions, generate solutions, evaluate options, consider your values, make decision and monitor and adjust

What are the 6 questions that may be applied to formulate logical, reasonable perspective to any situation?

Here are the six questions that you can apply to formulating a logical, reasonable perspective to any situation:

What are the issues that should be addressed?

What are the relevant facts and data related to this problem or issue?

What assumptions am I making about the problem or issue?

What are the possible solutions or outcomes, and what are the pros and cons of each?

What are my values and priorities related to this problem or issue?

What additional information do I need to make an informed decision or come to a reasonable conclusion?

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4.Briefly Describe how a Nuclear Power Plant works.

Answers

Nuclear Power plant are used to generate electrical energy.

In nuclear power plant, nuclear fission occurs.

Nuclear fission is a process in which one atom splits into two atoms.

During this process, large amount of heat energy is released.

This heat energy is used to generate steam.

Turbine starts moving due to the steam.

This turbine converts mechanical energy into electrical energy.

Which one of the following is true about the victims of elder obtuse

Answers

Answer: 85% of the victims in domestic abuse cases are women.

Explanation:

This question is already asked

WILL GIVE 25 POINTS AND BRAINLIEST -

Check image for graph.



Serena Williams is returning a serve from her sister Venus. Below is the graph of the force of her racquet on the tennis ball. Use the following graph to answer questions 3 and 4



3. What is the impulse on the tennis ball when it is in contact with Serena’s racquet?



4. If the 0.06kg tennis ball is originally traveling at 56 m/s towards Serena, what is the ball’s velocity after Serena returns the serve?

WILL GIVE 25 POINTS AND BRAINLIEST -Check image for graph.Serena Williams is returning a serve from her

Answers

bd dmd she s he sus she she she’s h

A 210 kg cannon fires a 1 kg projectile with a muzzle velocity of 610 m/s. The gun recoils against a constant resisting force of 1 700 N. What is the time in which the cannon is brought to rest?

Answers

Answer:75.3 seconds

Explanation:

Using conservation of momentum, the initial momentum of the cannon and the projectile is equal to the final momentum of the cannon and the projectile:

m_cannon * v_cannon = (m_cannon + m_projectile) * v_final

where m_cannon is the mass of the cannon, v_cannon is the initial velocity of the cannon, m_projectile is the mass of the projectile, and v_final is the final velocity of the cannon and projectile together.

Substituting the given values gives:

210 kg * 0 m/s - 1 kg * 610 m/s = (210 kg + 1 kg) * v_final

Solving for v_final gives:

v_final = -1.83 m/s

The negative sign indicates that the cannon and projectile are moving in the opposite direction after the firing.

The time required to bring the cannon to rest can be found using the equation:

F_resistive = m_cannon * a

where F_resistive is the resisting force, m_cannon is the mass of the cannon, and a is the acceleration of the cannon.

Substituting the given values gives:

1,700 N = 210 kg * a

Solving for a gives:

a = 8.10 m/s^2

The time required to bring the cannon to rest can be found using the kinematic equation:

v_final = v_initial + a * t

where v_initial is the initial velocity of the cannon, which is equal to the muzzle velocity of the projectile, and v_final is zero. Solving for t gives:

t = -v_initial / a

Substituting the given values gives:

t = -610 m/s / 8.10 m/s^2 = 75.3 s

Therefore, the time required to bring the cannon to rest is 75.3 seconds.

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Please help !!
Urgent !
The options are the same for the questions

Please help !! Urgent ! The options are the same for the questions

Answers

Answer:

it have magnitude and direction is vector

it have magnitude but not direction is scalar

by multiplying ..... is magnitude

ny adding you get another vector

Explanation:

yeah I hope this helpa

when you charge a balloon by rubbing it on your hair this is an example of what method of charging; what happens when you bring the balloon near your hair after rubbing it; static electricity; balloons and static electricity answers; what happens when you touch a metal doorknob after rubbing your shoes on the carpet?; balloon and paper experiment explanation; if you rub a glass rod with a piece of silk, the rod becomes positively charged this means that; why does the balloon stick to the wall

Answers

The balloon sticks to wall due to electrostatic force

What is electrostatic force?

Electrostatic forces are attractive or repulsive forces between particles that are caused by their electric charges. This force is also called the Coulomb force or Coulomb interaction and is so named for French physicist Charles-Augustin de Coulomb, who described the force in 1785.

The electrostatic force acts over a distance of about one-tenth the diameter of an atomic nucleus or 10-16 m. Like charges repel one another, while unlike charges attract one another. For example, two positively charged protons repel each other as do two cations, two negatively charged electrons, or two anions. Protons and electrons are attracted to each other and so are cation and anions

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How many years does it take for the number of americium-241 nuclei to decrease
from 10 000 to 5000?
Time =
years=

Answers

Answer:

432 years

Explanation:

the half life of americium-241 is approx. 432 years, and the half life means the time it takes for half of the atoms to decay. hope this helps!

physics homework helpCell phones use electromagnetic radiation with an energy of about 1.08J/mol photons. Calculate the wavelength and frequency that can be used to describe light with this energy.

Answers

The formula for calculating the energy of radiation is expressed as

E = hf

where

E is the energy

h is the planck constant = 6.626 x 10^-34

f is the frequency of the wave

From the information given,

Which part of an object's rate of change best defines acceleration?

force
speed
oposition
velocity​

Answers

Answer:

velocity

Explanation:

acceleration is defined as the rate of change of velocity

A_ is a cut made through the wood
along the same direction as the grain
from end to end
a
MITER CUT
b
RIP CUT
С
CROSS CUT

Answers

Answer:

i believe the answer is B only because i looked it up on g00gle so take what i say with a GRAIN of salt all puns intended

Explanation:

 

The answer is B have a nice day

creation
Design a device to minimize impact from a collision.
Design a device to convert one form of energy to another.

In 2-3 paragraphs explain your design, the materials that would be used to construct it, its function, and the relative efficiency of your design compared to something that already exists and performs a similar function

Answers

Designing a device to minimize impact from a collision:

The device I would design to minimize impact from a collision would be a shock absorber made from a combination of rubber and metal. The device would be installed between the two colliding objects, and its function would be to absorb and dissipate the energy of the collision, thereby reducing the impact forces on the objects.
CONSTRUCTION:

The shock absorber would consist of a metal cylinder with a rubber insert that would compress upon impact. The metal cylinder would be made from a strong and durable material such as steel, while the rubber insert would be made from a high-density rubber material with excellent shock-absorbing properties.

Compared to existing shock-absorbing devices such as airbags and crumple zones, this design would be more efficient in reducing the impact forces on the colliding objects. Unlike airbags and crumple zones, which are designed to absorb the impact forces by deforming, the shock absorber would absorb the impact energy through compression and dissipation of the energy as heat.

Designing a device to convert one form of energy to another:The device I would design to convert one form of energy to another would be a piezoelectric generator. The function of this device would be to convert mechanical energy into electrical energy through the use of piezoelectric materials.The piezoelectric generator would consist of a piezoelectric material such as quartz or lead zirconate titanate (PZT) sandwiched between two metal plates. When mechanical stress is applied to the piezoelectric material, it generates an electrical voltage across the metal plates.

Compared to existing devices such as generators and batteries, the piezoelectric generator would be more efficient in converting mechanical energy into electrical energy. This is because the piezoelectric effect is a direct conversion of mechanical energy into electrical energy, without the need for any intermediate steps such as the conversion of mechanical energy into rotational energy in a generator. Additionally, the piezoelectric generator would be smaller and more lightweight than traditional generators, making it ideal for use in portable electronic devices.

What is the momentum of a 12 kg ball with velocity of 24 m/s?

Answers

Answer:

288 kg.m/s

Explanation:

The momentum of an object can be found by using the formula

momentum = mass × velocity

From the question we have

momentum = 12 × 24

We have the final answer as

288 kg.m/s

Hope this helps you

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