Andrew was running late for class and could only find a parking space next to the golf course. His new truck was hit by a 0. 300 kg golf ball which left a 0. 400 cm dent in the hood. The golf ball was falling with a velocity of 8. 00 m/s.
a) What is the initial momentum of the golf ball? b) what average force did the hood of the truck exert on the ball to stop it? c) how long did it take for the hood to stop the ball?
Answers
The initial momentum of the golf ball is 2.40 kg⋅m/s. The average force exerted by the hood of the truck on the ball to stop it is \(-2.40 \times 10^4 N\) and the time taken for the hood to stop the ball is \(1.00 \times 10^{-4} s\)
a) The initial momentum of the golf ball can be calculated by using the formula:
p = mv
where m is the mass of the ball and v is the velocity of the ball. Plugging in the given values, we get:
p = (0.300 kg)(8.00 m/s) = 2.40 kg⋅m/s
Therefore, the initial momentum of the golf ball is 2.40 kg⋅m/s.
b) The average force exerted by the hood of the truck on the ball to stop it can be calculated using the formula:
\(F = \Delta p/ \Delta t\)
where Δp is the change in momentum of the ball and Δt is the time taken for the ball to come to rest. Since the ball comes to rest, the final momentum of the ball is zero. So the change in momentum is:
\(\Delta p\) = 0 - 2.40 kg⋅m/s = -2.40 kg⋅m/s
To find the time taken, we need to use the formula for distance traveled during a uniform deceleration:
\(d = (1/2)at^2\)
where d is the distance traveled, a is the deceleration, and t is the time taken. The distance traveled by the ball can be taken as the dent made by the ball on the hood, which is 0.400 cm or 0.00400 m. The deceleration of the ball can be found by using the formula:
\(v^2 = u^2 + 2ad\)
where u is the initial velocity (8.00 m/s), v is the final velocity (0 m/s), and d is the distance traveled (0.00400 m). Solving for a, we get:
\(a = (v^2 - u^2)/2d = -80,000 \;m/s^2\)
(Note that the negative sign indicates that the ball is decelerating.)
Now we can find the time taken:
\(t = \sqrt{(2d/a)}\)
\(t = \sqrt{(2 \times 0.00400\; m/80,000 \;m/s^2) }\)
\(t = 1.00 \times 10^{-4} s\)
So the average force exerted by the hood of the truck on the ball to stop it is:
\(F = \Delta p/ \Delta t\)
\(F = (-2.40\; kg\;m/s)/(1.00 \times 10^{-4} s)\)
\(F = -2.40 \times 10^4 N\)
(Note that the negative sign indicates that the force is in the opposite direction to the motion of the ball.)
c) The time taken for the hood to stop the ball is \(1.00 \times 10^{-4} s\), as found in part (b).
To know more about momentum refer here:
https://brainly.com/question/30677308#
#SPJ11
Related Questions
I need help in this please
Answers
The net force acting on the charge Q is in the direction D. The net force is the sum of forces from the two point charges Q+ each.
What is Coulomb's law ?According to Coulomb's law of force, the electrostatic force between two charges separated by a distance of r is given as follows:
Fq = k q1 q2 /r²
where, k is a constant.
As per this equation, the electrostatic force between two charges will increase as the magnitude of charge increases and the force decreases as the distance between them increases.
Here, the forces acting on the point charge Q- are the forces from the two Q+ charges. They are of different distances from the charges. The force in the direction E will be greater here. The net force on -Q is acting in the direction D.
Find more on Coulomb's law :
brainly.com/question/9261306
#SPJ1
ngle of a block is 45 degrees. What is the refractive index
Answers
How much GPE is stored when an 80kg astronaut climbs to the top of a 5m high lunar lander? The gravity strength on the moon is 1.6N/kg.
Answers
Answer:
The GPE, stored is 640 Joules
Explanation:
The given parameters are;
The given mass of the astronaut, m = 80 kg
The height of the top of the lunar lander to which the astronaut climbs, h = 5 m
The gravity strength on the moon, g = 1.6 N/kg
The Gravitational Potential Energy, GPE, stored is given according to the following equation;
GPE stored = m·g·h
Therefore, by substituting the known values, we have;
GPE Stored = 80 kg × 1.6 N/kg × 5 m = 640 Joules
The GPE, stored = 640 Joules.
consider a flat plate with air flowing over its surface. what happens if the first half of the plate is not heated?
Answers
When particles in one region of a fluid gain thermal energy, they spread out further, move faster, and experience more collisions. As a result, the particles have a lower density and rise through the fluid.
What is thermal energy and examples?The boiling of liquid on a stove is an example of thermal energy. Thermal energy is produced when a product's molecules and atoms move more quickly due to a rise in temperature.
How is thermal energy transferred?There are three methods that thermal energy can be transferred: conduction, convection, and radiation. Conduction is the process of thermal energy transmission between molecules that are close to one another and in touch.
To know more about Thermal energy visit:
https://brainly.com/question/11278589
#SPJ4
The game of floor hockey is primarily a blank
and blank
game.
Answers
Answer:
Fast and Energetic
Explanation:
The game of floor hockey is primarily a Fast and Energetic game. The main objective of the game of field hockey is to score more goals than the opposing team by shooting the Hockey ball into the goal post of the opposing team, Field hockey is similar to Ice hockey but the major difference is that Filed hockey is played without skates
An incident light ray hits a plane surface at 20 degrees (hint: remember where the angle is measured from). What is the angle between the incident and reflected rays? So is it 20 degrees or 40 degrees
Answers
Answer:
\(40^{\circ}\)
Explanation:
The incident angle is \(20^{\circ}\) so the reflected ray will also be \(20^{\circ}\).
The normal divides the angle between the incident and reflected ray. So, the angle between them would be
\(\text{Incident angle}+\text{Reflected angle}=20+20=40^{\circ}\)
So, the angle between the incident and reflected rays is \(40^{\circ}\).
a 1000 kg rhinoceros running at its top speed of 15 m/s has a kinetic energy of a.bc X 10^ J. What are the values of a.b.c. and d?
Answers
Answer:
K.E = 1.13 × 10^5 J
When compared to;
K.E = a.bc X 10^d J
We can observe that;
a = 1
b = 1
c = 3
d = 5
Explanation:
Given;
Mass of rhinoceros m = 1000kg
Velocity v = 15m/s
The kinetic energy of the body at this speed is;
K.E = 0.5×mv^2 ........1
Substituting the values of m and v into equation 1;
K.E = 0.5×1000×15^2
K.E = 112500 J
K.E = 1.13 × 10^5 J
When compared to;
K.E = a.bc X 10^d J
We can observe that;
a = 1
b = 1
c = 3
d = 5
Atmospheric air flows inside a thin-walled tube of diameter 3 cm. The mean velocity of the flow is 0.5 m/s. The flow is hydrodynamically and thermally fully developed. Heating can be either done by condensing steam on the outer surface of the tube, thus maintaining a uniform surface temperature, or by electric resistance heating, thus maintaining a uniform surface heat flux. Assuming that air properties can be evaluated at 400 K, determine the heat transfer coefficient for both cases.
Answers
The formula to calculate the heat transfer coefficient (h) using the Nusselt number is Nu = 0.023 * Re^0.8 * Pr^0.3
To determine the heat transfer coefficient for both cases of heating, we can use the concepts of forced convection and apply appropriate correlations.
Case 1: Condensing Steam on Outer Surface (Uniform Surface Temperature)
In this case, the heat transfer coefficient can be determined using the Nusselt number correlation for forced convection over a tube, such as the Dittus-Boelter equation. The Dittus-Boelter equation is valid for fully developed turbulent flow and can be expressed as:
Nu = 0.023 * Re^0.8 * Pr^0.4
where Nu is the Nusselt number, Re is the Reynolds number, and Pr is the Prandtl number.
The Reynolds number can be calculated using the mean velocity (V) and tube diameter (D) as:
Re = (ρ * V * D) / μ
where ρ is the air density and μ is the air dynamic viscosity.
The Prandtl number can be evaluated at 400 K using the air properties.
Once we have the Nusselt number, we can determine the heat transfer coefficient (h) using the equation:
Nu = h * (D / λ)
where λ is the thermal conductivity of air.
Case 2: Electric Resistance Heating (Uniform Surface Heat Flux)
In this case, we can use the Dittus-Boelter equation modified for uniform heat flux, given as:
Nu = 0.023 * Re^0.8 * Pr^0.3
The subsequent steps are the same as in Case 1 to calculate the heat transfer coefficient (h) using the Nusselt number.
By evaluating the heat transfer coefficients for both cases, we can compare the effectiveness of condensing steam and electric resistance heating for transferring heat to the flowing air in the tube.
Learn more about heat transfer coefficient from below link
https://brainly.com/question/13088474
#SPJ11
what happens to the electron flow within a conductor if the emf or voltage source is removed?
Answers
If the voltage source or EMF is removed from a conductor, the electron flow within the conductor will eventually stop.
This is because the voltage source creates an electric field that causes the free electrons in the conductor to move, creating an electric current. When the voltage source is removed, the electric field disappears, and the free electrons in the conductor will no longer have a driving force to move them. As a result, the electrons will begin to lose energy and eventually come to a stop, leading to the cessation of the electric current.
It's worth noting that the time it takes for the electron flow to stop depends on various factors such as the resistance of the conductor, the capacitance of the circuit, and the amount of charge stored in any capacitors present in the circuit.
To learn more about conductor follow the link:
https://brainly.com/question/14405035
#SPJ4
On James’s MP3 player, he has 12 sad songs and 40 upbeat songs that he wants to put into playlists. He wants to have the same number of sad songs and upbeat songs in each playlist. What is the maximum number of playlists that he can create?
2 playlists
3 playlists
4 playlists
10 playlists
Answers
Answer:
i would say a) two playlists
hope this helps!
Explanation:
Answer:
The answer is c, 4 playlists. You can put 10 upbeat songs and 3 sad songs into 4 playlists.
Explanation:
Hope this helps. Ask any questions below ^^
If an object were in space like voyager satellite we launched how much force is be needed to keep it going
Answers
Answer:
zero
Explanation:
Zero force is required to keep it moving at a constant speed
due to inertia ====> objects at rest tend to stay at rest and objects moving tend to remain that way unless acted upon by forces
Stored digital data are easily changed. How could this be a disadvantage?
A. Changing data results in too much data to be stored in most
computers
B. Easily changed data are difficult to protect with a security system.
c. Once a change is made, the change is permanent.
D. True information in the digital data can be changed to false
information
SUBMIT
I need help on this
Answers
The disadvantage of easily changeable digital data is: true information in the digital data can be changed to false information. Hence, option (D) is correct.
What is digital data?Digital data, in information theory and information systems, is information represented as a string of discrete symbols, each of which can take on one of only a finite number of values from some alphabet, such as letters or digits.
An example is a text document, which consists of a string of alphanumeric characters. The most common form of digital data in modern information systems is binary data.
Learn more about digital data here:
https://brainly.com/question/27820639
#SPJ1
Answer: The answer is D.
Explanation: I took the test
Which material would you expect to have the greatest index of refraction? a. Carbon dioxide at 0°C e b. Diamond at 20° C c. Liquid water at 20° C d. none
Answers
Diamond at 20°C is expected to have the greatest index of refraction.
The index of refraction is a property that describes how light propagates through a medium. It is a measure of how much the speed of light is reduced when passing through a particular material. The higher the index of refraction, the slower light travels through that material.
Among the given options, diamond is known for having a very high index of refraction. This is due to its dense molecular structure and high refractive index value, which is approximately 2.42. Diamond's unique crystal lattice and high optical density result in a substantial bending of light as it passes through the material.
Carbon dioxide at 0°C, liquid water at 20°C, and other materials generally have lower indices of refraction compared to diamond. While carbon dioxide and liquid water can refract light to some extent, their refractive indices are significantly lower than that of diamond.
Among the given options, diamond at 20°C is expected to have the greatest index of refraction. Its dense molecular structure and high refractive index value allow for a significant bending of light as it passes through the material.
To know more about refraction, visit
https://brainly.com/question/27932095
#SPJ11
Problem 5
A 300 kg pig is standing at the top of a muddy hill on a rainy day. The hill is 30 m high.
A. What is the total initial energy of the pig?
B. Half way down the hill what is the KE of the pig?
C. What is the pigs speed half way down the hill?
Answers
Mass of pig,
m=430 kg
Length of hill,
L=100m
Vertical drop,
h=37.4 m
By the law of conservation of mechanical energy we have
m(g)h=1/2mv²
417×9.8×37.4=0.5×417v²
v=27.1m/s
What is energy?
Increase your consumption of foods that will help you build more muscle and stronger bones. Common types of energy include the kinetic energy of a moving object, potential energy stored by an object (for instance because of its location in a field), elastic energy present in solid objects, chemical energy linked to chemical reactions, radiant energy carried by electromagnetic radiation, and internal energy present within a thermodynamic system.
All living things constantly use and expend energy. Any stationary object that has mass (referred to as rest mass) also has an equivalent amount of energy (referred to as rest energy), as well as any additional energy. This is referred to as mass-energy equivalence.
To know more about the energy, click the link given below:
https://brainly.com/question/1932868
#SPJ1
afootball of mass 550g is at rest on the ground the football is kicked with a force of 108 newton the footballers boot is in contact with the ball for 0.3 minute what is the kenitic
energy of the ball
Answers
If "0.3 minute" is correct, then it's 9,543,272 Joules.
If it's supposed to say "0.3 SECOND", then the KE is 2,651 Joules.
3. Use the simulation to predict where you think the magnet’s magnetic field was
strongest. Explain your answer.
Answers
Magnetic field is stronger at the poles whereas weaker at the center.
The magnetic field on the bar magnet is strongest at the poles because the field lines are most concentrated at the poles while on the other hand, the magnetic field is weaker in the central part of magnet.
Magnetic field has equal amount of strength at both the poles so in my opinion as well as scientific point of view, magnet field is stronger at the poles and weaker at the center of magnet.
Learn more: https://brainly.com/question/25400445
the block is allowed to travel around the hoop for a time t1. at that moment the speed of the block is v1. the experiment is repeated but the initial speed of the block in the second trial is greater than v0. will the speed of the block after a time t1 be greater than, less than, or equal to v1?
Answers
The speed of the block after a time t1 be greater than, less than, or equal to v1 is higher.
Initial velocity is the velocity at time interval t = 0 and it's miles represented by way of u. it's far the speed at which the motion begins. they're four initial pace formulation: (1) If time, acceleration and very last pace are supplied, the initial velocity is articulated as. u = v – at.
Calculation:-
V 1 = R/ (R/v + ut)
Since the denominator is smaller. So the Velocity becomes higher.
Speed is described as. The rate of exchange of function of an item in any course. pace is measured because the ratio of distance to the time wherein the distance was included. speed is a scalar amount as it has simplest course and no magnitude.
Learn more about speed here :-
brainly.com/question/13943409
#SPJ4
Students used an ammeter to record the current through three different resistors as they increased the voltage applied to each resistor. The data collected is shown in the model below. image Based on the experimental evidence shown in the graphical model, which claim is best about the resistance values of the three resistors? A. Resistor 1 has the largest resistance because it has the smallest current at each applied voltage. B. Resistor 3 has the largest resistance because it has the largest current at each applied voltage. C. Resistor 1 has the largest resistance because it has the largest current at each applied voltage. D. Resistor 3 has the largest resistance because it has the smallest current at each applied voltage.
Answers
Answer:its d
Explanation:its right
Resistor 3 has the largest resistance because it has the smallest current at each applied voltage. Thus option D is correct.
what is voltage ?Voltage can be defined as the pressure from the power of an electrical circuit's which pushes charged electrons (current) through a conducting loop, allow them to do work such as illuminating a light.
voltage = pressure, and it is measured in volts (V), it was first discovered by Italian physicist Alessandro Volta (1745-1827), inventor of the voltaic pile.
voltage was otherwise known as electromotive force (emf), according to the equations such as Ohm's Law and it is represented by the symbol E.
it is the potential difference between two points in a circuit or the electromotive force in a given circuit, a device called voltmeter used to measure voltage.
For more details voltage , visit
https://brainly.com/question/2364325
#SPJ2
a 0.145- kg baseball with an initial speed of 28 m/s rebounds with a speed of 33 m/s after being struck with a bat. if the duration of contact between ball and bat was 1.7 ms, what was the magnitude of the average force between ball and bat?
Answers
Linear momentum is a vector quantity defined as p=mv
where m is the body mass and v
its vector velocity. A body may undergo changes in linear momentum. Suppose a particle changes its initial momentum from pi to a final momentum pf, during a time Δt. We have
ΔpΔt=mvf−mviΔt=mΔvΔt
=m⟨a⟩
where ⟨a⟩=ΔvΔt
is an average acceleration, and we can identify the result above as the average force acting on the particle during the change in momentum:
⟨F⟩=ΔpΔt
Answer and Explanation:
A baseball has mass
m=0.145kg. Consider the x-axis defined in the figure below. We can write the ball's initial...
To learn more about average force refer to
https://brainly.com/question/11334834
#SPJ4
Linear momentum is a vector quantity defined as p=mv.
What is magnitude of the average force?Units of mass times length over time squared are used to express the strength of a force. The most used unit in metric measurements is the newton (N), which is equal to one kilogram times one meter over one second squared.
its vector speed. Linear momentum can alter for a body. Let's say a particle undergoes a time-dependent shift in momentum from pi to pf. To date,
ΔpΔt=mvf−mviΔt=mΔvΔt
=m⟨a⟩
where where a=vt
is a typical acceleration, and the outcome shown above can be interpreted as the typical force exerted on the particle during the change in momentum:
⟨F⟩=ΔpΔt
A baseball has mass m=0.145kg. Consider the x-axis defined in the figure below. We can write the ball's initial.
To learn more about average force refer to:
brainly.com/question/11334834
#SPJ4
7. A ship can carry heavier load in salty water than that in fresh water, why?
Answers
Because of the buoyancy of the salt particles
20. Free-Body Diagram You are sitting in the back seat of a
car going around a curve to the right. Sketch motion
and free-body diagrams to answer these questions:
a. What is the direction of your acceleration?
b. What is the direction of the net force on you?
Answers
Centripetal acceleration
#1
Direction towards centre#2
Direction of force also towards centre
How does an accretion disk around a neutron star differ from an accretion disk around a white dwarf?.
Answers
Estimate how long a 2500 W electric kettle would take to boil away 1.5 Kg of water . The specific latent heat of vaporization of water is 4000000 J / Kg .
Answers
The time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds
How to calculate the timeUse the formula:
Power × time = mass × specific heat
Given mass = 1. 5kg
Specific latent heat of vaporization = 4000000 J/ Kg
Power = 2500 W
Substitute the values into the formula
Power × time = mass × specific heat
2500 × time = 1. 5 × 4000000
Make 'time' the subject
time = 1. 5 × 4000000 ÷ 2500 = 6000000 ÷ 2500 = 2400 seconds
Therefore, the time it would take a 2500 W electric kettle to boil away 1.5 Kg of water is 2400 seconds.
Learn more about specific latent heat of vaporization:
https://brainly.in/question/1580957
#SPJ1
Which substance has a melting point greater than room temperature?
A.
oxygen
B.
aluminum
C.
mercury
D.
water
Answers
Answer:
I think the answer is D.)
Explanation:
If it means something needs to melt into liquid i would have gone with B.) or C.) but since it doesn't specifiy. I thought D.) since all you have to do is heat it and it melts or boils.
When you put your hand above a pan filled with boiling water, does your hand warm up because of convection or conduction? If you touch the pan, does your hand warm up because of convection or conduction? Based on your answers, which type of heat transfer moves heat more easily and efficiently?
Answers
Answer:
first one is - conduction
second one is - convection
I think conduction moves more easily
Question:
Identify whether the following physical quantities are vectors or scalars, and explain your choice.
a. Temperature
b. Gravity
c. Volume
d. Number of pages in a book
e. Wind speed and direction
Vectors and Scalars:
The physical quantities can be distinguished in terms of vectors and scalars pertain to the magnitude and direction of that quantity. The examples of physical quantities that can be sort into vectors and scalars are temperature, gravity, volume, number of pages in a book, wind speed and direction, etc.
Answers
Gravity and wind speed are vector quantity , Temperature , Volume , Number of pages in a book are the scalar quantity
In terms of their size and direction, the physical quantities may be divided into scalars and vectors.The examples of physical quantities that can be sort into vectors and scalars are temperature, gravity, volume, number of pages in a book, wind speed and direction, etc.
The following quantities are:
Temperature- The temperature is a scalar number since it just needs the magnitude (heat content) and not the direction.
Gravity - It is comparable to the force with which the Earth pulls an item that is always pointed toward its center. The amount is a vector since both magnitude and direction define it.
Volume - it is the pitch of a sound wave which is nothing but a form of energy which causes the sensation of hearing. Since the direction is not required to measure a sound level (determined by the corresponding frequency of the sound wave) but the only magnitude, therefore, it is a scalar.
The amount is a scalar since the number of pages in a book is entirely determined by a numerical value without the requirement for a direction.
Wind Speed and Direction - Since both the wind's magnitude in terms of speed and direction are necessary, the quantity is a vector.
Learn more about vectors
brainly.com/question/29740341
#SPJ4
The source of all magnetic fields is:
- moving charges
- the earth's gravity
- the aurora borealis
- solar fields
Answers
Answer:
Moving charges
Explanation:
The source of all magnetic fields is moving electric charge: whether it is current in a wire, unpaired electrons in an atomic orbital, convection currents in the earth's liquid nickle /iron core, plasma in the sun, etc. moving electric charge is the source of all magnetic fields.
Technician a says that there is often more than one circuit being protected by each fuse. technician b says that more than one circuit often shares a single ground connector. which technician is correct?
a. technician a.
b. technician b.
c. both technician a and b.
d. neither technician a and b.
Answers
Both technicians are partially correct.
Technician A is correct in stating that there could be multiple circuits being protected by a single fuse.
This is often the case in modern vehicles, where manufacturers try to reduce the number of fuses needed by grouping circuits together. However, Technician B is not entirely correct in stating that multiple circuits often share a single ground connector.
While it is true that some circuits may share a common ground, it is not always the case. Often, each circuit will have its own ground connection to ensure proper electrical operation and prevent interference between circuits.
Therefore, the correct answer is option C – both technicians are partially correct. It is important for technicians to have a detailed understanding of electrical circuits and their components to diagnose and repair issues in a vehicle’s electrical systems.
Learn more about technicians here.
https://brainly.com/questions/14290207
#SPJ11
Cameron flies directly west for 13 km, then turns to the south and flies for another 30 km. He then flies east for 13 km before landing at the airport.
Answers
Answer:
Distance = 56km Displacement = 30km
Explanation:
hope I helped
A short horizontal line leads to a small circle, which then has a longer line point up at about 45 degrees. A gap in the horizontal line that led to the circle ends with another small circle and then a short horizontal line segment. In a circuit diagram, what does this symbol represent? a resistor a light bulb a battery a switch. and the answer is D!!!!!!
Answers
Answer:
the answer is D
Explanation:
Answer:
The answer is D
Explanation:
yes