[tex]50^\circ[/tex] angle above the horizontal.
Step by Step Solution :
Given :
Launch speed = 11 m/sec
Height of the ceiling = 3.6 m
[tex]\rm g = 9.8\;m/sec^2[/tex]
Calculation :
Let [tex]\theta[/tex] be the launch angle, measured above the horizontal.
Vertical component of initial speed is
[tex]\rm v = 11sin\theta[/tex]
We know that
[tex]\rm v^2 - u^2=2as[/tex]
[tex]\rm 11^2 sin^2\theta - 2\times9.8\times 3.6 =0[/tex]
[tex]\rm sin\theta = 0.7636[/tex]
[tex]\rm \theta = sin^-^10.7636[/tex]
[tex]\theta = 49.8^\circ \approx 50^\circ[/tex]
[tex]50^\circ[/tex] angle above the horizontal they launched to just graze the ceiling.
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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.
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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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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An object is dropped onto the moon (gm = 5 ft/s2). How long does it take to fall from an elevation of 250 ft.?
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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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.
For which property has Marvin forgotten to use an SI unit of measurement? A shore length B high temperature C low temperature D annual precipitation
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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Candle wax gradually loses its shape as it is heated. What type of solids is candle wax. Explain
Bryce, a mouse lover, keeps his four pet mice in a roomy cage, where they spend much of their spare time–when they\'re not sleeping or eating–joyfully scampering about on the cage\'s floor. bryce tracks his mice\'s health diligently and just now recorded their masses as 0.0227 kg, 0.0217 kg, 0.0215 kg, and 0.0235 kg. at this very instant the x and y components of the mice\'s velocities are, respectively, (0.517 m/s, -0.493 m/s), (-0.603 m/s, -0.309 m/s), (0.373 m/s, 0.477 m/s), and (-0.853 m/s, 0.955 m/s). calculate the x and y components of bryce\'s mice\'s total momentum, px and py.
The x-component of the total momentum of Bryce's mice is approximately -0.01299 kg⋅m/s, and the y-component is approximately -0.12702 kg⋅m/s.
Calculate the momentum of each mouse:
The momentum (p) of an object is given by the product of its mass (m) and velocity (v):
For the first mouse:
p1 = (0.0227 kg) × (0.517 m/s) = 0.0117439 kg⋅m/s in the x-direction, and
p1 = (0.0227 kg) × (-0.493 m/s) = -0.0112261 kg⋅m/s in the y-direction.
Sum up the momenta for each direction:
For the x-component:
px = p1x + p2x + p3x + p4x
px = (0.0117439 kg⋅m/s) + (-0.0121411 kg⋅m/s) + (0.0077545 kg⋅m/s) + (-0.0203475 kg⋅m/s)
px ≈ -0.01299 kg⋅m/s
Calculate the final values:
For the y-component:
py = p1y + p2y + p3y + p4y
py = (-0.0112261 kg⋅m/s) + (-0.0182619 kg⋅m/s) + (0.0102783 kg⋅m/s) + (0.022034 kg⋅m/s)
py ≈ -0.12702 kg⋅m/s
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.
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?
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 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
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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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.
(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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Newtons first law of motion tells us that an object will move___ unless acted on by an unbalanced force
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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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.
a doctor travels to the east from city a to city b 75 km in 1.0h and returns back in another hour
The average speed of the doctor is 75 km per hour and his average velocity should be zero.
Given that,
The distance should be 75 km.And, the time taken is 1.0 hours. Here we assume that we have to determine the speed.Based on the above information, the calculation is as follows:
We know that
[tex]Speed = \frac{Distance}{Time}\\\\= \frac{75}{1}[/tex]
= 75 km per hour
Therefore we can conclude that the average speed of the doctor is 75 km per hour and his average velocity should be zero.
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a penny is dropped from the top of the empire state building, a height of 381 meters. find the final velocity of the penny
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Describe Newton's First Law of motion. Provide an example to support your 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?
The temperature in Chattanooga Tennessee is -3 Celsius The temperature in Sam’s hometown is 18° colder than that what is the temperature in Sam’s hometown?
The Temperature in Chattanooga, Tennessee is -3 °C, then the temperature in Sam's hometown will be equal to -21 °C.
What is temperature?A temperature is a unit of hotness or coldness that can be described in terms of a variety of arbitrary scales. It also indicates the direction in which thermal energy will naturally flow, i.e., from a hotter body to a region of lower temperature.
Temperature is not the same as the energy of the thermodynamic system; for instance, an iceberg has considerably higher heat than a burning match, but it has a far larger total heat energy than a match.
As opposed to extensive qualities like mass or volume, which are reliant on the amount of stuff being studied, the temperature is an intensive attribute, just like pressure or density.
As per the given information in the question,
The temperature in Chattanooga, Tennessee = -3 °C
The temperature in Sam’s hometown is 18° colder than that.
Then, the temperature in his hometown will be,
= -3 - 18
= -21 °C.
Therefore, the temperature in the hometown will be -21 °C.
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what is the formula for dichlorine heptoxide
What became stuck on the turtle's legs before it crossed the highway?
How much does a 0.15 kg baseball weigh on earth?
The weight of the 0.15 - kilogram baseball on the earth would be 1.47 Newtons, as we know that the value of the acceleration due to the gravity of the earth would be 1.47 Newtons .
What is gravity ?It can be defined as the force by which a body attracts another body toward its center as the result of the gravitational pull of one body and another .
As given in the problem we have to find out how much a 0.15 kg baseball weighs on earth .
The value of the acceleration due to gravity on the earth = 9.8 m / s²
The weight of the baseball on the earth = 0.15 × 9.8
= 1.47 Newtons
Thus, the weight of the 0.15 - kilogram baseball on the earth would be 1.47 Newtons .
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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.