A basketball player achieves a hang time of 1.11 s in dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8 m/s 2 . Answer in units of m.
The vertical height attained by the basketball player during a hang time of 1.11 seconds is approximately 1.51 meters.
To determine the vertical height attained by a basketball player with a hang time of 1.11 seconds, we can use the following physics equations related to free fall motion.
Step-by-Step Calculation
First, we divide the total hang time by 2 to find the time taken to reach the maximum height:
Time to reach maximum height: 1.11 s / 2 = 0.555 s
Use the kinematic equation for vertical motion:
h = v_i x t + 0.5 x a x [tex]t^2[/tex]
Since the initial vertical velocity (v_i) at the peak is 0, the equation simplifies to:
h = 0.5 x g x [tex]t^2[/tex]
Substitute the known values:
h = 0.5 x[tex]9.8 m/s^2 \times (0.555 s)^2[/tex]
Calculate the height:
h ≈ 1.51 meters
Thus, the basketball player will attain a vertical height of approximately 1.51 meters during their hang time of 1.11 seconds.
A car with an initial speed of 6.5 m/s accelerates at a uniform rate of 0.92 m/s2 for 3.6 s. Find the final speed of the car during this time.
The final speed of a car that accelerated from an initial speed of 6.5 m/s at a rate of 0.92 m/s² for 3.6 seconds would be 9.812 m/s.
Explanation:This question deals with the concept of linear motion and specifically, the calculation of final speed given initial speed, acceleration, and time. The equation we would use in this case is Final Speed = Initial Speed + (Acceleration * Time), which is a standard formula in physics for predicting the final speed of an object given its initial conditions and the forces acting upon it.
Let's apply this equation to your specific problem. The initial speed of the car is 6.5 m/s. It accelerates at a rate of 0.92 m/s² for exactly 3.6 seconds. Therefore, substituting values into our equation, the final speed of the car would be calculated as follows: Final Speed = 6.5 m/s + (0.92 m/s² * 3.6 s) = 9.812 m/s.
This means that the final speed of the car, after accelerating for 3.6 seconds, should be 9.812 m/s assuming a constant acceleration during this time period.
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In the 2008 Olympics, Jamaican sprinter usain's bolt average shocked the world as he ran the 100- meter dash in 9.69 seconds. Determine usain's average speed for the race.
When joshua brakes his speeding bicycle to a stop, kinetic energy is transformed to select one:?
Answer:
the answer is heat. pleas give me a thanks if the answer is right
Katie wants to buy the right headlamp bulb as a spare for her motorcycle. If the circuit in the motorcycle runs off a standard 12 V battery, and one of the headlights is switched on, current flowing through the headlight is measured at 3.75 A. What is the power usage of the headlamp? Report the answer to two significant digits
Answer : The power usage of the headlamp is 45 watts.
Explanation :
It is given that,
Katie wants to buy the right headlamp bulb as a spare for her motorcycle.
The voltage of the motorcycle, V = 12 V
The current flowing through the headlight is measured at 3.75 A
The power of headlamp is given by the product of the voltage and the current flowing in the headlamp.
Mathematically, it is written as :
[tex]P=VI[/tex]
[tex]P=12\ V\times 3.75\ A[/tex]
[tex]P=45\ Watts[/tex]
The power usage of the headlamp is 45 Watts.
Newtons first law of motion tells us that an object will move___ unless acted on by an unbalanced force
Liz puts a 1 kg weight and a 10 kg on identical sleds. She then applies a 10N force to each sled. Which does not explain why the smaller weight accelerate faster?
A) The larger mass spends more force overcoming inertia.
B) The smaller weight exerts less frictional force to overcome.
C) The acceleration depends directly on the mass of the object.
D) The motion of the sled relates to action of unbalanced forces.
Answer:
c. the acceleration depends directly on the mass of the objects
Explanation:
When responding to sound, the human eardrum vibrates about its equilibrium position. suppose an eardrum is vibrating with an amplitude of 5.65 10-7 m and a maximum speed of 2.68 10-3 m/s. (a) what is the frequency (in hz) of the eardrum's vibration? 745.92 hz (b) what is the maximum acceleration of the eardrum?
When practicing safe lifting, a worker should do which of the following?
A.
Avoid lifting above shoulder level
B.
Bend down and twist or turn while lifting
C.
Lift as much as possible as long as they have a clear view
D.
Lift with the upper body
Answer:
A) avoid lifting above shoulder.
Explanation:
the correct option will be option A) avoid lifting above shoulder.
So,
For safe lifting one should not lift above shoulder level.
Safe lifting is one of the most important practice which should be encountered. Because of this many workers have suffer from injuries, permanent deformation of the body of the worker.
So, for practicing safe lifting is very important.
if an atom gains or loses a valence electron, the atom becomes a charged particle called a/an_____________.
A. Charged Atom
B. Proton
C. Ion
D. Electron
An atom that gains or loses electrons becomes an ion.
When an atom gains or loses a valence electron, it becomes a charged particle called an ion. If an atom loses one or more electrons, it becomes a cation, which has a positive charge because it has fewer electrons than protons. Conversely, when an atom gains electrons, it becomes an anion with a negative charge, having more electrons than protons. For example, a neutral chlorine atom becomes a chloride ion with a -1 charge upon gaining an electron.
Ions are highly reactive and their formation is a process known as ionization. They play a crucial role in various chemical reactions, including the formation of ionic bonds where one atom becomes a cation and another becomes an anion.
Sources of natural gas include all of the following except:
flyash
oil wells
biomass
landfills
Answer: fly ash
Oil well, biomass and landfill are the sources of the natural gas. But fly ash is not the source of natural gas because it is formed by the combustion of the coal during the electricity generation process.
Oil well is a boring inside the earth crust which is digg open to obtain crude oil such as petroleum but the natural gas which sometimes lies above the liquid petroleum also collected.
Biomass is the reservoir of organic matter it is main composition of all living organisms. The decaying matter is a form of biomass. This biomass releases natural gason decomposition.
Landfill is the area where the biodegradable waste is disposed off. The action of biological agents such as bacteria feed upon these wastes and release natural gas.
How do fission nuclear reactions differ from fusion nuclear reactions?
As a cat pounces on a mouse, her muscles burn 10 units of potential energy (which the cat previously gained from eating). however, the pounce itself only required 4 units of kinetic energy. how many units of energy were dissipated as heat?
Positively charged ions are surrounded by freely moving electrons in
Positively charged ions are surrounded by freely moving electrons in metallic bonding.
What do you mean by the metallic bonding ?Minerals containing transition metals exhibit metallic bonding frequently. Minerals with metallic bonding include gold, silver, and copper.
Metallically bound compounds are efficient heat and electricity conductors because valence electrons can travel freely throughout the structure.
When the charge is dispersed over a broader area than the size of a single atom in a solid, metallic bonds are created.
Positively charged ions are encircled by an electron cloud during metallic bonding. The nucleus of an atom is not strongly bound to outer-level electrons. Instead, the electrons freely move among many positively charged ions.
Thus, The positively charged ions are surrounded by freely moving electrons in metallic bonding.
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A spacecraft is separated into two parts by detonating the explosive bolts that hold them together. the masses of the parts are 1300 kg and 1700 kg. the magnitude of the impulse on each part from the bolts is 210 n · s. with what relative speed do the two parts separate because of the detonation?
Candle wax gradually loses its shape as it is heated. What type of solids is candle wax. Explain
a penny is dropped from the top of the empire state building, a height of 381 meters. find the final velocity of the penny
Ammonia reacts with oxygen according to the equation 4nh3(g)+5o2(g)→4no(g)+6h2o(g),δhrxn=−906 kj calculate the heat (in kj) associated with the complete reaction of 155 g of nh3. express the heat in kilojoules to three significant figures.
Answer:
-2065
Explanation:
155 g of ammonia (NH3) to moles:
155 g / 17 g/mol = 9.118
Given: The ratio includes 4 moles of ammonia and -906 kJ of energy.
Therefore, to find the heat, multiply the moles of ammonia by ratio of energy to moles in the formula.
[tex]9.118*\frac{-906}{4} =-2065.2[/tex]
OR
[tex]-2.06*10x^{3}[/tex]
To calculate the heat associated with the complete reaction of 155 g of NH3, convert the mass of NH3 to moles, use stoichiometric coefficients to calculate the number of moles of heat produced, and calculate the heat associated with the reaction.
Explanation:To calculate the heat associated with the complete reaction of 155 g of NH3, we need to first convert the mass of NH3 to moles:
Molar mass of NH3 (1 mol of N + 3 mol of H) = 14.01 g/mol + 1.01 g/mol * 3 = 17.03 g/mol
Number of moles of NH3 = 155 g / 17.03 g/mol = 9.11 mol
Next, we use the stoichiometric coefficients in the balanced equation to calculate the number of moles of heat produced:
From the balanced equation, we see that 4 moles of NH3 produce 6 moles of H2O and release -906 kJ of heat.
So, 9.11 moles of NH3 produce (9.11 mol * 6 mol H2O / 4 mol NH3) = 13.665 mol H2O.
Finally, we calculate the heat associated with the complete reaction of 155 g of NH3:
Heat = (13.665 mol H2O * -906 kJ / 6 mol H2O) = -2048.05 kJ.
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(Bonus) Which of the following statements are part of The Law of Conservation of Energy?
A: Energy cannot be created
B: Energy can be created
C: Energy cannot be destroyed
D: Energy can be destroyed
F: The total amount of energy will stay the same
G: The total amount of energy will change.
H: Energy cannot be transmitted from one form to another
I: Energy can be transmitted from one form to another
The Law of Conservation of Energy states:
B: Energy can be created
D: Energy can be destroyed
F: The total amount of energy will stay the same
I: Energy can be transmitted from one form to another
The law of conservation of energy states that energy cannot be created nor destroyed but can be transformed from one form to another.
This means that the total energy of an isolated system is the same no matter the internal changes taking place within the system.
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When iron metal reacts with oxygen, the reaction can form Fe2O3. Write a balanced chemical equation for this reaction, and find the number of moles of oxygen that are needed to form 6 mol of Fe2O3. Show your work.
you can press now lol
what is the formula for dichlorine heptoxide
A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 193-kg laser sensor which measures the thickness of the ice (see the drawing). the helicopter and the sensor move only in the horizontal direction and have a horizontal acceleration of magnitude 2.31 m/s2. ignoring air resistance, find the tension in the cable towing the sensor.
Hanna tosses a ball straight up with enough speed to remain in the air for several seconds?
a.what is the velocity of the ball when it reaches its highest point?
b.what is the velocity 1 s before it reaches its highest point?
c.what is the change in its velocity during this 1-s interval?
d.what is its velocity 1 s after it reaches its highest point?
e.what is the change in velocity during this 1-s interval?
f.what is the change in velocity during the 2-s interval(caution velocity not speed)?
g.what is the acceleration of the ball during any of these time intervals and at the moment the ball has zero velocity
Answer:
Explanation:
In the free fall motion we have that the acceleration is constant and produced by gravity, this acceleration has a magnitude of 32 ft/s2 or 9.8 m/s2 depending on the units you are working with. This means that every second the speed changes a magnitude of 32 ft/2, the velocity will depend of whether the ball is going upward (positive) or downward (negative).
A) At the highest point the ball stops to start the descend, here v=0 ft/s
B) +32 ft/s. The vector is going up, in the next second the velocity is going to be 0 (negative acceleration)
C) V=vf-vo=0-32=-32 ft/s is the constant change in velocity in projectile motion
D) -32 ft/s. The vector is pointing downward
E) V=vf-vo=-32-0=-32 ft/s is the constant change in velocity in projectile motion, 32 ft/s per second
F) Delta V=vf-vo=-32-32=-72 ft/s
g) gravity acceleration is constant 32 ft/s2 (pointing downward vector)
If a 70-kg swimmer pushes off a pool wall with a force of 250 N, what is her acceleration?
Answer:
5m
Explanation:
The acceleration of the swimmer is 3.57 meters per second squared, calculated by dividing the force (250 N) by the swimmer's mass (70 kg) using Newton's second law.
To calculate the acceleration of the 70-kg swimmer who pushes off the pool wall with a force of 250 N, we use Newton's second law of motion, which is stated as F = ma, where F is the force applied, m is the mass of the object, and a is the acceleration. To find the acceleration, we rearrange the formula to a = F / m.
Therefore, the acceleration a of the swimmer can be calculated by dividing the force by the mass of the swimmer:
a = F / m = 250 N / 70 kg = 3.57 m/s2
This means the swimmer's acceleration is 3.57 meters per second squared.
Describe the changes in the velocity of a ball thrown straight up into the air. then describe the changes in the ball's acceleration.
When a ball is thrown straight up, its velocity changes from positive to negative, while its acceleration changes from negative to zero to positive.
Explanation:When a ball is thrown straight up into the air, the velocity of the ball changes. Initially, the ball has a positive velocity, representing upward motion. As it moves against the force of gravity, the velocity decreases until it reaches zero at the highest point of its trajectory. Then, as the ball falls back down, the velocity becomes negative, increasing in magnitude as it approaches the ground.
The acceleration of the ball also changes during its motion. In the upward direction, the acceleration is negative, as it opposes the ball's initial velocity. At the highest point, the acceleration is zero, as the ball momentarily stops moving vertically. On the downward path, the acceleration is positive, as it adds to the ball's velocity, increasing its speed as it falls back down.
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In the circuit diagram, what does the symbol made of two long lines and two short lines with a positive and a negative sign at each end represent? a source of electrical energy an electrical conductor an electrical resistor a closed switch
For those seeking for the answer, its a source of electrical energy.
Answer:
its a source of electrical energy.
Explanation:
An atom has 29 protons, 29 electrons, and 35 neutrons. What is the mass number of the atom?
Identify the following physical quantities as scalars or vectors.
-position
-velocity
-displacement
-speed
-acceleration
-average velocity
-distance
Position, velocity, displacement, acceleration, and average velocity are vector quantities and Speed and distance are scalar quantities.
What are Vector and Scalar quantities?A vector is a quantity with both magnitude and direction in physics. It is often represented by an arrow with the same direction as the amount and a length proportional to the magnitude of the quantity. A vector lacks position but does have magnitude and direction. A vector is therefore unaffected by displacement parallel to itself as long as its length is unaltered.
Scalar, a physical quantity whose magnitude is a perfect description of it. Scalars include concepts such as volume, density, speed, energy, mass, and time. Other quantities are referred to as vectors because they have both magnitude and direction, like force and velocity.
Real numbers, typically positive but not always, are used to describe scalars. When a particle moves in the opposite direction from how a force is acting, as happens when frictional force slows down a moving body, for instance, the work done on the particle by the force is a negative number.
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If you divide velocity m/s by time (s), what units do you get?
If you divide velocity meters/second by time (seconds )then we would get the acceleration in meters/second², because the rate of change in the velocity is known as the acceleration of the object.
What is acceleration?The rate of change of the velocity with respect to time is known as the acceleration of the object.
As given in the problem If you divide velocity meters/second by time (seconds )then we have to find the result,
acceleration= meters/second/ seconds
=meters/second²
Thus, the object's acceleration is the rate at which its velocity changes. We may determine acceleration in meters/second2 by dividing the object's meters/second velocity by the passage of time.
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A street lamp weighs 158 n. it is supported equally by two wires that form an angle of 104⦠with each other. what is the tension of each of these wires?
The tension in each of the two wires supporting the street lamp can be calculated using trigonometry. The tension in each wire will be the same and can be found using the weight of the street lamp and the angle between the wires. The tension in each wire is approximately 164.63 N.
Explanation:The tension in each of the two wires supporting the street lamp can be calculated using trigonometry. Since the street lamp is supported equally by the two wires, the tension in each wire will be the same. To find the tension, we can use the relationship between the weight of the street lamp and the vertical component of the tension. The vertical component of the tension can be found by using the angle between the wires and the weight of the street lamp.
Given: Weight of the street lamp (W) = 158 N, Angle between the wires (θ) = 104°
Using trigonometry, we can find the vertical component of the tension (T) using the equation:
T = W / sin(θ)
Substituting the given values, we get:
T = 158 N / sin(104°)
T ≈ 164.63 N
Therefore, the tension in each of the two wires supporting the street lamp is approximately 164.63 N.
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