So the torque due to gravity on the diving board is 6310.7 N·m.
As the diver is at rest, the net torque on the diving board must be zero. The only torque acting on the board is due to the weight of the diver, which acts downwards at the center of mass of the diver.
We can calculate the torque due to gravity on the diving board as follows:
Torque = force x lever arm
The force due to gravity on the diver is:
F = m * g
where m is the mass of the diver and g is the acceleration due to gravity.
F = (109 kg) * (9.81 m/s²)
= 1069.29 N
The lever arm is the distance from the point of application of the force to the axis of rotation, which in this case is the end of the diving board. We can calculate the lever arm using trigonometry:
Lever arm = board length - distance from board end to center of mass of the diver
Lever arm = 7 m - (0.6 m + 0.5 m)
= 5.9 m
where 0.6 m is the distance from the end of the board to the diver's feet, and 0.5 m is the length of the diver's body.
Therefore, the torque due to gravity on the diving board is:
Torque = F * Lever arm
Torque = (1069.29 N) * (5.9 m)
Torque = 6310.7 N·m
To know more about torque,
https://brainly.com/question/30338150
#SPJ11
A 2.80 kg mass is dropped from a height of 4.50 m . Find its potential energy (PE) at the moment it is dropped .
Answer:0
Explanation:
because it ran out when it hit the ground
Alien beings on a spherical asteroid have observed that a large rock is approaching their asteroid in a collision course. At 2239 km from the center of the asteroid, the rock has a speed of 205 m/s and later at 2023 km from the center, it has a speed of 302 m/s. Use energy conservation to find the mass of the asteroid. Neglect effects other than the gravitation interaction between the asteroid and the rock.
The mass of the asteroid is approximately 4.98 x 10¹⁴ kg. We can use energy conservation to find the mass of the asteroid.
When the rock is at a distance of 2239 km from the center of the asteroid, its kinetic energy is given by:
K₁ = (1/2)mv₁²
where m is the mass of the rock, and v₁ is its speed. At this point, the potential energy of the rock is:
U₁ = -GMm/r₁
where G is the gravitational constant, M is the mass of the asteroid, m is the mass of the rock, and ₁ is the distance between the center of the asteroid and the rock.
When the rock is at a distance of 2023 km from the center of the asteroid, its kinetic energy is:
K₂ = (1/2)mv₂²
where v₂ is the speed of the rock. At this point, the potential energy of the rock is:
U₂ = -GMm/r₂
where r₂ is the new distance between the center of the asteroid and the rock.
Since the asteroid and the rock are the only two objects interacting gravitationally, the total energy of the system (asteroid plus rock) is conserved. Therefore:
K₁ + U₁ = K₂ + U₂
Substituting the expressions for K₁, K₂, U₁, and U₂, we get:
(1/2)mv₁² - GMm/r₁= (1/2)mv₂² - GMm/r₂
We can simplify this equation by dividing both sides by m, and rearranging:
GM(1/r₁- 1/r₂) = (1/2)(v₂² - v₁²)
We know the values of r₁, r₂, v₁, and v₂ We also know the value of G (gravitational constant), which is approximately 6.67 x 10⁻¹¹Nm²/kg². Therefore, we can solve for M:
M = (v₂² - v₁² )r₁ r₂ / (2G(r₂-r₁)
Substituting the given values, we get:
M = (302² - 205²) (2239 x 2023 x 10³) / (2 x 6.67 x 10⁻¹¹ x (2023 - 2239) x 10³)
Solving this equation gives us:
M ≈ 4.98 x 10¹⁴kg
Therefore, the mass of the asteroid is approximately 4.98 x 10¹⁴ kg.
Learn more about “ kinetic energy “ visit here;
https://brainly.com/question/26472013
#SPJ4
what do I need To do to get a moving object to stop moving ?
Answer:
Force.
Explanation:
SImple as that. think of Newtons Laws.
What made ancient Rome special?
Answer:
Rome became the most powerful state in the world by the first century BCE through a combination of military power, political flexibility, economic expansion, and more than a bit of good luck. This expansion changed the Mediterranean world and also changed Rome itself.
Explanation:
I’m NC the wind is blowing from the north. If the wind changes direction and begins to blow from the south, what will most likely result.
NC means North Carolina.
Answer:
The temperatures will increase.
Explanation:
What will happen is that the temperature will increase. This is because, in wind direction and weather forecasting, a wind that shifts from the south means that warmer air/temperatures are approaching whereas a wind shift from the north implies that cooler air/temperatures are approaching.
K=(1/2)my^2 v?
A.) K=mv
B.) m= Kv^2
C.) v=sqrt(2k/m)
D.) none of above
Answer:
The answer is C. The explanation is below.
Please help
What is the angle of the reflected ray in the diagram above?
suppose kevin, a 62.5 kg gymnast climbs a rope. (a) what is the tension (in n) in the rope if he climbs at a constant speed? (enter the magnitude.)
The tension in the rope is 613.13 N when the gymnast climbs at a constant speed.
When the gymnast climbs the rope at a constant speed, the net force acting on him is zero, i.e., the weight of the gymnast is balanced by the tension in the rope.
What is the formula for net force?The formula for net force to calculate the tension in the rope:
Net force = ma
where m is the mass of the gymnast and a is the acceleration.
Since the gymnast is climbing at a constant speed, his acceleration is zero, so the net force is also zero.
Therefore, we have:
Tension in the rope = Weight of the gymnast
= mg
= 62.5 kg x 9.81 m/s² (acceleration due to gravity)
= 613.13 N (rounded to two decimal places)
Therefore, the tension in the rope is 613.13 N.
Learn more about the net force to the tension here:
https://brainly.com/question/29078655
#SPJ1
Please help if you can!
Answer:
a
Explanation:
bc i said so its right lol
When managers establish accurate measuring and monitoring systems to evaluate how well the organization has achieved its goals, they are engaging in the essential task of _______.
Managers do the crucial duty of controlling when they create precise measuring and monitoring methods to assess how well the firm has achieved its goals.
What do you understand by monitoring systems?Software that assists system administrators in monitoring their infrastructure is known as a monitoring system. These tools keep an eye on the hardware, software, and traffic of the system and raise the alarm in the event of errors or disturbances. There are several monitoring systems available, ranging from commercial software to freeware.
The monitoring system broadcasts a signal and logs information about the signal, including whether it was received, how long it took the host to receive it, whether any signal data was lost, and other details.
To learn more about the monitoring systems, visit: https://brainly.com/question/24270833
#SPJ4
the brake should be pulled all the way up to assure that it is set properly
The statement suggests that the brake should be pulled all the way up to ensure it is set properly.
Pulling the brake all the way up is an important step to ensure that it is set properly and effectively engages the braking mechanism. By pulling the brake lever or handle all the way up, it maximizes the force applied to the brake system, allowing for a secure and reliable hold.
When the brake is pulled all the way up, it increases the friction between the brake pads or shoes and the braking surface, such as the rotor or drum. This increased friction provides a stronger braking force, which is essential for safely immobilizing or holding a vehicle in place.
Pulling the brake all the way up also helps to ensure that any potential slack or play in the brake system is taken up, minimizing the risk of unintended movement. This action provides greater confidence that the brake is fully engaged and properly set, reducing the possibility of accidents or unexpected vehicle motion.
In summary, pulling the brake all the way up is necessary to set the brake properly and ensure maximum effectiveness. It increases the force applied to the braking mechanism, maximizes friction, eliminates slack, and enhances the overall safety and security of the braking system.
Learn more about break:
https://brainly.com/question/29428385
#SPJ11
a skydiver dives from an airplane. air resistance is measured each second following the skydiver’s jump.
Gravity is the only force at work. However, when a person levitates toward the ground, it creates drag.
As the skydiver falls faster, the drag increases until it reaches the magnitude of gravity. When drag becomes as great as gravity, a force balance is reached and the skydiver stops accelerating. To simplify the topic.
We can say that the two most common factors that directly affect the amount of drag are object velocity and object cross-sectional area. Gravity and air resistance act on a skydiver jumping out of an airplane. The speed at which an object falls and the shape of the object on the surface on which the force of air resistance acts.
Learn more about A skydiver here:- https://brainly.com/question/29807017
#SPJ4
calculate the charge flow when the vurrent is 0.50A in the wites for 17s
Answer:
Quantity of charge = 8.5 Coulombs
Explanation:
Given the following data;
Current = 0.5 A
Time = 17 seconds
To find the charge flowing through the wire;
Mathematically, the quantity of charge passing through a conductor is given by the formula;
Quantity of charge = current * time
Substituting into the formula, we have;
Quantity of charge = 0.5 * 17
Quantity of charge = 8.5 Coulombs
A softball traveling at 34 m/s has a kinetic energy of 98 J.
Calculate its mass.
calculate the height of the ball.
Calculate the power if ball stays in air for 1 mins
will give brainliestttt
Answer:
The mass=0.169
The height=57.8
The power=1.63 watts
Explanation:
The formula for mass is 2KE/v^2
v=34×34 KE=98 therefore 2*98/34^2=0.169
The formula for height is v^2/2g
v=34*34 therefore 34^2/2*10=57.8
The formula for power is work/time
in which the work is the kinetic energy =98
and time 1*60secs =60 therefore 98/60=1.63watts
Two smooth disks A and B have the initial velocities shown just before they collide. Which of the following statements is true according to the law of conservation of momentum? a) Disk A will come to rest after the collision. b) Disk B will come to rest after the collision. c) Both disks will continue to move at the same velocities after the collision. d) The total momentum of the system before and after the collision will be conserved.
According to the law of conservation of momentum, the total momentum of a system remains constant if no external forces act on it the total momentum of the system before and after the collision will be conserved. The correct option d.
The law of conservation of momentum states that in a closed system, the total momentum before a collision is equal to the total momentum after the collision, provided there are no external forces acting on the system. The law applies to both linear and angular momentum.
In the given scenario, the total momentum of the system before the collision is the sum of the momenta of the two disks. After the collision, the total momentum of the system should still be the same as before the collision if no external forces are present.
The individual velocities and directions of the disks after the collision may change, and they may continue to move at different velocities or even come to rest. The law of conservation of momentum does not dictate the velocities or outcomes of the individual objects involved in the collision. It only states that the total momentum of the system remains constant.
Therefore, option d) The total momentum of the system before and after the collision will be conserved is the correct statement according to the law of conservation of momentum.
Here you can learn more about law of conservation
https://brainly.com/question/20635180#
#SPJ11
What is the wavelength of an earthquake wave if it has a speed of 10 km/s 3 points
and a frequency of 15 Hz?*
.67 km
1.5 km
150 k
Answer:
0.67 km
Explanation:
Given that,
The speed of a wave, v = 10 km/s = 10000 m/s
The frequency of a wave, f = 15 Hz
We need to find the wavelength of the wave. The speed of wave in terms of wavelength and frequency is given by :
\(v=f\lambda\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{10000}{15}\\\\=666.66\ m\)
or
= 0.67 km
So, the wavelength of the wave is 0.67 km.
1. Calculate the impedance for a series RLC circuit with a 10 kA resistor, a 4400 pF capacitor, and a 3.5 mH inductor in series, if the input current has a frequency of f = 600 MHz, (Note f is not the same as w!) 2. What is the resonance frequency for the above circuit? 3. Does the resonance frequency depend on the resistance? Why or why not?
1. The impedance of a series RLC circuit can be calculated using the formula Z = √((R^2) + ((Xl - Xc)^2)), where R is the resistance, Xl is the inductive reactance and Xc is the capacitive reactance.
At a frequency of 600 MHz, the inductive reactance can be calculated using the formula Xl = 2πfL, where L is the inductance. Thus, Xl = 2π(600 x 10^6)(3.5 x 10^-3) = 1319.5 Ω. The capacitive reactance can be calculated using the formula Xc = 1/(2πfC), where C is the capacitance. Thus, Xc = 1/(2π(600 x 10^6)(4400 x 10^-12)) = 543.63 Ω. Therefore, Z = √((10,000^2) + ((1319.5 - 543.63)^2)) = 10,990.7 Ω.
2. The resonance frequency for a series RLC circuit can be calculated using the formula f = 1/(2π√(LC)), where L is the inductance and C is the capacitance. Thus, f = 1/(2π√(3.5 x 10^-3)(4400 x 10^-12)) = 615.5 MHz.
3. The resonance frequency does not depend on the resistance in a series RLC circuit because at resonance, the reactances of the inductor and capacitor cancel each other out and the circuit becomes purely resistive. Therefore, the resistance does not affect the resonance frequency.
Learn more about impedance here:
https://brainly.com/question/30040649
#SPJ11
in TUTORIAL 1
[25 Marks]
2021
1. In the system shown below the weight of block A is 100 N and the weight of Q is 20 N. The coefficient of static friction between the block and the plane is 0,65. The pulleys are frictionless. Rope AC is horizontal and rope AB is parallel to the plane. The system is in equilibrium, and block P has just sufficient mass to prevent block A from sliding down the plane.
1.1 Draw free body diagrams of objects Q, A and P.
[3]
1.2 Calculate the mass of block P needed to prevent block A from sliding down the plane. 1.3 Calculate the reaction of the inclined plane on block A
[6]
1.4 Calculate what the mass of block P would need to be such that block & would just be on the point of moving
[2]
up the plane.
[3]
To determine the mass of block P needed to move block A up the plane, we need to consider the minimum force required, which is the force of friction acting on block A.
1.1 Free Body Diagrams of Objects Q, A, and P:
Weight (WQ) = 20N acting downwards.
A:
Weight (WA) = 100N acting downwards.
Normal reaction force (RA) acting perpendicular to the plane.
P:
Weight (WP) = WP acting downwards.
Normal reaction force (RP) acting perpendicular to the plane.
1.2 Calculation of the mass of block P:
To determine the mass of block P, we need to consider the forces acting on the system in equilibrium.
Along the x-axis, the sum of forces (∑Fx) is 0N.
Therefore, we have:
RA = FQ = 20N
Along the y-axis, the sum of forces (∑Fy) is 0N.
Therefore, we have:
RP + FA = WP ...(1)
The force FA can be calculated using:
FA = μRA = 0.65 × 20 = 13N
Substituting the value of FA into equation (1), we get:
RP + 13 = WP ...(2)
Now, since block P has just sufficient mass to prevent block A from sliding down the plane, the minimum force required is the force of friction acting on block A.
1.3 Calculation of the reaction of the inclined plane on block A:
Considering the forces acting on block A, we have:
Along the y-axis, the sum of forces (∑Fy) is 0N. Therefore, we have:
RA + FN = FA ...(3)
The force FN can be calculated as:
FN = WA = 100N
Substituting the values into equation (3), we get:
RA + 100 = 13
RA = -87N
Hence, the reaction of the inclined plane on block A is -87N.
Therefore, the mass of block P needed for block A to move up the plane is approximately 12.27 kg.
To know more about mass visit:
https://brainly.com/question/11954533
#SPJ11
define SI systems of units
Answer:
the system of measurement accepted by theinternational convention of scientists held in france in 1960 is called si systems of units
The MPC for a country will likely be measured as less than 1. 0. T True F False
The statement is True, The MPC for a country will likely be measured as less than 1.
MPC in physics stands for "Multipurpose Ceramic". However, it's unclear what specific context you are referring to as MPC could stand for many different things in physics, depending on the field and application. For example, in particle physics, MPC could stand for "Minimum Projected Calorimeter", which is a type of calorimeter used to measure the energy of particles.
In astrophysics, MPC could refer to "Minor Planet Center", which is an organization responsible for collecting and disseminating information about minor planets, comets, and natural satellites. In materials science, MPC could refer to "Metal-Plastic Composite", which is a type of material made by combining metal and plastic components. In optics, MPC could refer to "Micro-structured Polymer Composite", which is a material used for making diffractive optical elements.
To learn more about MPC visit here:
brainly.com/question/29645795
#SPJ4
Janel did an experiment to see which spices can kill bacteria. She mixed a spice with bacteria food called agar. She poured the agar and spice mix into a petri dish(a plate used for growing bacteria) and added bacteria. She did the same for five different spices. This is an example of
Answer:
Antibacterial activity
Explanation:
The antibacterial property does not allow bacterias to live in an environment. Many spices have the ability to show antibacterial activity, few of these spices can be named as cinnamon, turmeric, or clove. Because they have antimicrobial or antibacterial characteristics that is why they are used for food preservation, disease prevention, and provide many health benefits. But, not every spice has antibacterial characteristics, that is why Janel experimented with five different spices to see which amongst them possess antibacterial characteristics.
Hence the correct answer is Antibacterial activity.
Which two statements are true of electromagnetic waves?
DA. They do not need a medium to transfer energy.
DB. They travel by causing particles of matter to vibrate.
C. They need a medium to transfer energy.
DD. They transfer energy by disturbing electric and magnetic felds.
Answer:
AD
Explanation:
electromagnetic waves do not need a medium to travel, examples are ultraviolet radiation and infrared radiation.
Answer:
A and D
Explanation:
Just did it
A person increases their speed by 20 m/s over a time of 20 seconds. What is the person's acceleration?
Acceleration is defined as the rate of change of velocity with respect to time. In this case, the person's speed increased by 20 m/s over a time of 20 seconds. To calculate the acceleration, we can use the formula:
Acceleration = (Change in velocity) / (Time)
In this case, the change in velocity is 20 m/s, and the time is 20 seconds. Substituting these values into the formula, we get:
Acceleration = 20 m/s / 20 s
Simplifying the equation:
Acceleration = 1 m/s²
Therefore, the person's acceleration is 1 m/s².
I hope I helped!~~~Harsha~~~
what is the process where dna can change in many ways?
Answer:
process of recombination
Explanation:
this process happens when 2 molecules of DNA exchange pieces of their genetic material with each other
tripling both the tension in a guitar string and its mass per unit length will result in changing the wave speed in the string by what factor?
There would be no change as the wave speed would be 1. Option B
What is the factor?According to the wave equation for a string, the wave speed (v) is given by the equation:
v = √(T/μ)
Tripling both the tension in a guitar string and its mass per unit length;
T₂ = 3T₁ (tripling the tension)
μ₂ = 3μ₁ (tripling the mass per unit length)
We have for the wave speed
v₂ = √(T₂/μ₂)
= √((3T₁)/(3μ₁))
= √(T₁/μ₁)
= v₁
We can see that based on the calculations that we have done in the problems. It is plane that there is no change in the wave speed.
Learn more about guitar string:https://brainly.com/question/30554638
#SPJ4
What mathematical relationship between variables is suggested by a graph showing a diagonal line from the lower left to the upper right of the graph?
Answer:
Direct proportionality
Explanation:
The graph of variables that are directly proportional such as the temperature and volume of a gas has a graph consisting of a diagonal line that from the lower left of the graph to the upper right of the graph
According to Charles law, the volume of a given mass of gas is directly proportional to its temperature in Kelvin at constant pressure
Charles law can be represented mathematically as V ∝ T
From which we have;
V₁/T₁ = V₂/T₂, therefore, the graph of V to T has a constant slope, ΔV/ΔT.
What is the momentum of a 31.2 kg object traveling at a velocity of 2.1 m/s?
Answer:
p = 65.52 kg m/s
Explanation:
p = m × v
p = 31.2 × 2.1
p = 65.52 kg m/s
What is the name of the filler in irreversible hydrocolloid that is on OSHA's list of hazardous ingredients? Diatomaceous earth?
Diatomaceous earth is the name of the filler in irreversible hydrocolloid that is on OSHA's list of hazardous ingredients.
Diatomaceous earth is a naturally occurring, soft, siliceous sedimentary rock that is easily crumbled into a fine white to off-white powder. It is used as a filler in irreversible hydrocolloid because of its absorbent properties. However, it is also considered hazardous by OSHA due to the potential for respiratory hazards if inhaled. It is important to use proper safety precautions when working with diatomaceous earth, including wearing a mask or respirator and using proper ventilation.
Any insect with an exoskeleton can be effectively controlled with diatomaceous earth. This includes bed bugs, pill bugs, sow bugs, most beetles, fungus gnat larvae, some grubs, ants, millipedes, earwigs, cockroaches, silverfish, fleas, mites, lice, and crickets.
Learn more about diatomaceous earth here: https://brainly.com/question/13502923
#SPJ11
Weightlessness occurs when an object applies a reaction force to another object. Please select the best answer from the choices provided T F
Answer: The answer is F
Explanation: because it is I took the test
A women weighs 857 N. What is her mass?
Answer:
women based on height usually should way about 200 pounds which included muscle.
Explanation: