The period of the ball's motion is 0.142 s and the frequency of the motion is 7 Hz.
What is the period of the ball's motion?The period of the ball's motion is calculated by applying the following kinematic equation as shown below.
v = 2πr/T
ωr = 2πr/T
ω = 2π/T
T = 2π/ω
where;
T is the period of the ball's motionω is the angular speed of the ballThe angular speed of the ball = 7 rev/s = 7 rev/s x 2π rad/rev = 14π rad/s
T = 2π/14π
T = 1/7 s = 0.142 s
The frequency of the ball's motion is the inverse of the period of the motion and can be calculated as follows;
f = 1/T
f = (1) / (1/7) = 7 Hz
Thus, the period of the ball's motion is determined from the angular speed of the ball while the frequency of the ball's motion is the reciprocal of the period of the motion.
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A physicist steps on a piece of gum. The gum exerts a constant non conservative force of 3 newtons as she picks up her foot. If her foot is 1 kg how much force would she have to exert to accelerate her foot vertically at 6 m/s2?
A) 15 newtons
B) 18 newtons
C) 28 newtons
D) 22 newtons
E) 25 newtons
The Force exerted by the physicist as she steps on a piece of gum is 18 Newtons and the right option is B) 18 Newtons.
What is force?Force can be defined as the product of mass and acceleration. The S.I unit of force is Newton (N) or kilogram- meter-per-seconds (kgm/s).
To calculate the amount of force she would exert, we use the formula below.
Formula:
F = F'+mg+ma............. Equation 1Where:
F = Amount of force she would exertF' = The gum's non conservative forcem = Mass of her foota = Accelerationg =Acceleration due to gravityFrom the question
Given:
F' = 3 Nm = 1 kga = 6 m/sg = 9 m/s²Substitute these values into equation 1
F = 3+(1×9)+(1×6)F = 3+9+6F = 18 NewtonsHence, the force exerted by the physicist is 18 N.
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this diagram shows an amusement park roller coaster ride.(a) on what part of the ride is the car moving slowest?(b)on what part of the ride is the car moving fastest?(c)The car become stuck at point p which is 50 meters above the ground.To the relief of the presenters the car eventually move again and passes point R at 20m/s.Approximately how height is point R?The car and its passengers have a combined mass of 700kg.
Answer:
KE + PE = constant conservation of energy
At 50 m KE = zero and PE = m g h
PE = 700 kg* 9.80 m/s^2 * 50 m = 343,000 Joules
PE + KE = 343,000 J
At point R
PE = 343,000 J - 1/2 * 700 kg * 400 m^2 / s^2 = 203,000 J
m g h = 203,000 J at point R
h = 203,000 J / (700 kg * 9.80 m/s^2 = 29.6 m height of point R
Check:
343,000 = 700 * 9.80 * 29.6 + 350 * 400 = 343,000
Adding PE and KE at point R
ANALYSIS
1. Which has more kinetic energy:
a. A compact car going 70 mph or a tractor trailer going 15 mph?
b. An SUV going 30 mph or a pickup truck going 30 mph?
c. A school bus going 15 mph, an SUV going 35 mph, or a
compact car going 45 mph?
a) Tractor trailer will have more kinetic energy
b) kinetic energy of pickup truck will be more than a SUV
c) school bus will have the maximum kinetic energy
a) Tractor trailer will have more kinetic energy because its mass is way to heavy than that of compact car as kinetic energy is not only just dependent on velocity but also depend upon mass of that body .
b) since , speed of SUV and truck is same , but mass of the truck is more than SUV , hence kinetic energy of pickup truck will be more than a SUV .
C) Since , school bus carries number of passengers than SUV or compact car , hence school bus will have the maximum kinetic energy .
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do you believe that doubting is thinking?yes or no then why?
Answer:
yes
Explanation:
Because doubting is thinking something is
wrong
The electrical power of a circuit can be calculated by the equation P = V × I. The table below shows the different voltages that can be supplied to the circuit. If current stays the same, which voltage will most likely result in the smallest electrical power?
A B C D
100V 25V 5V 30V
A
B
C
D
Answer: C. 5V
Explanation:
Since P = VI, power is directly proportional to voltage
If current is constant, then the lower the voltage, the lower the power. The lowest voltage shown is 5 Volts.
An air conditioner cools a room using which method?
A. Conduction
B. Convection
C. Radiation
Answer:
b) Convection
Explanation:
An air conditioner cools a room using convection method. Therefore, the option (b) is the correct answer.
How many kWh of energy would be needed for brushing your teeth with an electric
toothbrush daily for the month of May?
There are models that work with batteries and others with batteries that can be charged in the electrical network. Let's look at an average brush, with a power of 3 W. If you brush your teeth 3 times a day for 5 minutes, you have a daily consumption of 0.00075 kWh. In one month, consumption would amount to 0.225 kWh.
500 N of force on a large box for 45 seconds, but it does not move.
How much work is being done?
What is the power?
The work done will be zero, since the object does not move. Also, the power will be zero since the work done is zero because the force must be applied in the direction of motion.
What is work done?Scientifically, the formula for the work done is given by: W = F * d. In this case, the force acting on the block is constant, but the direction of the force and the direction of displacement due to this force are it's different. where force F acts on displacement d at angle θ.The work done by a force is defined as the product of the displacement component of the force and the magnitude of that displacement. method. Work can be calculated by multiplying the force by the displacement in the direction of the force as There are many examples of work in our daily life. For example, a horse pulling a plow in a field, a father pushing his shopping cart in the mall, a student lifting a bag full of books on his back or shoulder.To learn more about work done from the given link :
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Assuming we have a 1 cm long empty solenoid with a 1 mA current flowing through it, how many loops do we need to have in the solenoid to generate a 1 T magnetic field inside the solenoid? Give your answers as integers rounded up
N =
What if we had an iron core inside the solenoid with relative permeability of 64,000 ? How many loops would we need in this case?
N =
(a) To generate a 1 T magnetic field inside the solenoid, we need 7.96 x 10⁶ turns.
(b) If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be 124 turns.
What is the number of turns of the solenoid?
The number of turns of the solenoid is determined by applying the following equation for magnetic field strength at the center of the solenoid.
B = μnI
where;
μ is the permeability of free space = 4π x 10⁻⁷ T/AI is the current = 1 mA = 0.001 AB is magnetic field strength = 1 Tn is number of turns per lengthn = B/ μI
N/L = B/μI
N = (BL)/μI
where;
L is the length of the solenoidn = (1 x 0.01) / (4π x 10⁻⁷ x 0.001)
n = 7.96 x 10⁶ turns
If we had an iron core inside the solenoid with relative permeability of 64,000, the number of turns would be calculated as;
N = (BL)/(μI x μr)
where;
μr is the relative permeabilityN = (1 x 0.01) / (4π x 10⁻⁷ x 0.001 x 64,000)
N = 124 turns
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If a Mack truck and a Honda Civic have a head-on collision, which vehicle will experience the greater force of contact? The greater impulse? The greater change in momentum? The greater acceleration? Discuss how a failure to distinguish between these concepts leads to difficulties in understanding physics!
The Honda Civic is the car that would have greater impulse, momentum change and acceleration due to Collison.
What is the impact?The term impulse has to do with the product of force and time. The impact is literally the force that acts on an object for a short time. We know that the mass of the object is very important when we are discussing the impulse on the object.
When there is a head-on collision that occurs between the Mack truck and a Honda Civic, the Honda Civic would have the greater impulse and the greater change in momentum and thus the greater acceleration.
If we do not understand the concept of the effect of momentum and the acceleration of an object, we would not be able to understand the basic interaction that occur between objects using the principles of physics.
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An electric motor is used to hoist building supplies from the ground to the roof of a building. How high can it lift a 131 kg bundle of shingles in that time?
The electric motor will lift the 131 kg bundle of shingles at a height of 14 m.
What is gravitational potential energy?Gravitational potential energy is the energy exhibited by an object because of a change in its position in the presence gravitational field.
The gravitational potential energy of an object at height h from the surface of the earth is given by:
[tex]U = mgh,[/tex] where m is the mass of the object.
Given, the power of the electric motor, P = 1.5 KW, and time, t - 12 s
Power = Work/ time
Work = Power × time
Work = 1500 ×12 = 18000 J
Given, the mass of the object, m= 131 Kg
The gravitational potential energy, U = 18000J
The height of the bundle of shingles can be determined as:
18000 = 131 ×9.8 ×H
H = 14 m
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Your question was incomplete most probably complete question was,
An electric motor is used to hoist building supplies from the ground to the roof of a building. How much work can the motor do in 12 seconds if its power output is 1.5 kW. How high can it lift a 131 kg bundle of shingles in that time?
A person with a weight of 190 N sits on a box with a weight of 20 N, what is the normal force on the box?
The normal force on the box is 210 N.
What is force?A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
Normal force on the box = total Weight of box and person = 210 N.
The normal force on the box is 210 N.
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What is the total mechanical energy of a 3 kg object traveling at 7 m/s if its potential energy is 42 J? (1 point)
247.8 J
115.5 J
31.5 J
73.5 J
A 3 kilogram object traveling at 7 m/s and possessing a 42 J potential energy has a mechanical energy of 115.5 J.
How much mechanical energy does the thing possess?Performing a specific task results in the accumulation of mechanical energy. It is the total of an object's potential energy and kinetic energy. It is stated as;
Potential and kinetic energy are the components of mechanical energy.
Given the information in the query;
The object's mass is 3 kg.
The object's speed is 7 m/s.
Object's potential energy is 42 J.
Calculate the object's kinetic energy.
Kinetic energy = 1/2 × mass × ( velocity )²
Insert the specified values.
Kinetic energy is = 1/2 x 3 kg x 7 m/s2.
Kinetic energy = 0.5 x 3 kg x 49 m2/s2.
Kinetic energy = 73.5 kg/m2/s2.
Kinetic energy = 73.5 J.
Now, the object's mechanical energy will be;
Potential energy plus kinetic energy equals mechanical energy.
Put the values in.
Mechanical energy = 42J + 73.5J
Mechanical energy = 115.5 J.
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What role does fiction play in sport of your choice? Collect one picture of that sport in action where friction either supporting it or opposing it
Which of the following is an example of Newton's third law of motion?
A) Izzie's bicycle hits a curb and she falls forward onto the grass.
B) A tissue and a rock are dropped from a ladder. The rock exerts a greater force when it hits the ground.
C) Kyle sits at the base of a water slide, another person on the slide pushes him forward into the pool.
D) Tires from a bike push against the road, and the road pushes back.
Answer:
D
Explanation:
bike and road show equal and oppisite reaction
A horizontal line on a velocity/time graph shows ____ acceleration.
Question 9 options:
positive
negative
changing
zero
A car is traveling 20m/s around a right hand curve. The passenger is at a radius of 5m and the driver is at radius of 6m. What is the centripetal acceleration felt by each?
The exact centripetal acceleration experienced by passenger ∝ₙ and driver ∝ⁿ is 80m/s² & 66.67m/s² respectively.
Mathematically , Centripetal acceleration ∝= v²/r
In the given question velocity will be same for passengers and driver because of common frame.
But the radius is different since distance from each points of frame to the Centre of road will vary. so their centripetal acceleration will differ.
∝= v²/r using this we can find out the exact centripetal acceleration experienced by passenger ∝ₙ and driver ∝ⁿ
∝ₙ= 20²/5= 80m/s²
∝ⁿ=20²/6= 66.67m/s²
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which public health policies help prevent communical diseases
A projectile is fired horizontally at 180 m/sec from an altitude of 734.7 m. What is the final vertical velocity of the projectile as it hits the ground?
Answer:
216 m/s
Explanation:
Final velocity will be resultant of the initial horizontal velocity ( 180 m/s) and the vertical velocity from falling 734.7 m
Verital vf = at need to find time
df = 734.7 = 1/2 a t^2
t= 12.2 sec
vf = at
= 9.81 (12.2) = 120 m/s
Just before hotting the ground,
resultant velocity = sqrt(180^2 + 120^2) = 216 m/s
Friction is a force that resists motion between surfaces that are touching each other
Answer:
Yes.
Friction is the force which resists the motion of an Object. Measured in Newtons.
formula = F=ma, where f is the force, m is the mass and a is the acceleration
function of a transformer in electrical circuits
Explanation:
There two types of transformers which are mainly stepup and step down transformers
the former is used for increasing voltage while the latter is used for reducing voltage
A space station in the form of a large wheel,
356 m in diameter, rotates to provide an “artificial gravity” of 5.1 m/s2 for people
located at the outer rim.
What is the frequency of the rotational mo-
tion for the wheel to produce this effect? Answer in units of rev/min.
The frequency of the rotational motion for the wheel to produce this effect 1.62 rev/min.
What is the angular speed of the wheel?
The angular speed of the wheel is calculated by applying the formula for centripetal acceleration of the wheel.
a = v²/r = ω²r
where;
ω is the angular speed of the wheel in radian per secondsr is the radius of the wheelThe radius of the wheel = 356 m / 2 = 178 m
ω = √a/r
ω = √(5.1/178)
ω = 0.17 rad/s
The angular speed in revolution per minute is calculated as follows;
ω = 0.17 rad/s x 1 rev/2π rad x 60 s/1min
ω = 1.62 rev/min
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Interpret information to make judgment.
The teacher is showing the class an experiment using a radioactive source. She insists on these safety precautions
a) No students may sit in the front row
b) The radioactive source is kept in a lead box when not in use.
Explain why each of these precautions is important.
These precautions are important to avoid radiation effects. Lead is powerful in shielding nuclear substances because of its physical residence.
It is dense and difficult, which means it is able to block x-rays and gamma rays from penetrating thru the cloth. whilst these radioactive waves touch the steel, they collide with the lead atoms and get dispersed
Lock radioactive stock materials and sealed assets in a secured box or a secured storage vicinity when not in use. A stock fabric is a radioactive material as provided by using the vendor and does no longer include material withdrawn from the original inventory for experimental use.
You must generally hold radioactive resources, along with any radioactive waste that's in the garage, in suitable boxes internal an appropriate store to defend against unintended harm or loss and to guard employees and the majority.
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Which force causes motion?
Motion is caused due to external Force.
The universe contains multiple fundamental forces, including gravity, electromagnetic force, and weak and strong nuclear forces. However, when it comes to the motion of common objects, the forces of importance are primarily gravity, friction, and applied force.
The vector sum of all the forces acting on an object is the net force. That is, the net force is the sum of all forces, taking into mind that a force is a vector, and two forces of identical size and opposing direction cancel each other out.
When you apply force to an object, it moves. However, there is a little more to the story. Newton's second rule of motion asserts that you must total up all of the forces acting on a system to determine what will happen to it.
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Move over Jeff Bezos, this invention is about to make you the richest person in the world. You have just invented the OyOy (that's YoYo spelled backwards). It is the very latest in home safety and so easy to use!
If your building is on fire, simply reach out and grab the cord on the OyOy and you will be lowered safely toward the ground at a low velocity. The OyOy has a total mass M = 95.0 kg and is shaped like a cylinder of radius R = 0.940 meters. The secret to the operation of the OyOy is its patented shaft whose radius is only r = 0.0900 meters. The cord is wound around the small shaft and this is the secret to your low velocity.
We will use the approximation that the shaft is of negligible mass compared to the total. This means that you can treat the entire OyOy as though it is a solid cylinder with mass M and radius R. Imagine that a customer of mass m = 78.5 kg is using the OyOy and begins his decent from an initial height of y0 = 12.55 meters.
Find velocity of customer at ground.
Answer: The correct answer is 144.716
Explanation: This is the correct answer because the velocity of the customer at ground is higher than it should be
two forces, one of 12 N and another of 24 N, act on a body in such a way that they make an angle of 90° whith each other. find the resultant of the two forces.
26.83 Newton Force is the resultant of the two forces.
F1= 12 N
F2=24 N
resultant force= [tex]F_r= \sqrt{F_1^2+F_2^2+2F_1F_2cos \alpha}[/tex]
angle=90°
[tex]F_r= \sqrt{(12)^2+(24)^2+2(12)(24)(cos 90)}[/tex]
[tex]{:[=\sqrt(144+576+0)],[=\sqrt720],[=26.83N][/tex]
The resultant force is the total force acting on the object or body along with the direction of the body. The resultant force is 0 when the object is at rest or traveling at the same speed as the object. Given that each force is acting in the same direction, their aggregate force ought to be equal.
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A car travels 150 kilometers in 3.2 hours. What is the average velocity for the trip in meters per second.
Answer:
13.02 m/s
Explanation:
First, convert the units of kilometer and hours into meter and second. This can be done by multiplying 150 with 1000 since a kilometer equals 1000 meters. This’ll get us the new unit of 150,000 meters.
Then convert 3.2 hours to second by firstly multiplying 3.2 with 60. This’ll get us with 192 minutes since an hour equals 60 minutes. Then multiply 192 by another 60 because a minute equals to 60 seconds. You’ll obtain the new unit of 11520 seconds.
Next, we can now apply the basic velocity formula which is:
[tex]\displaystyle \vec v = \dfrac{\vec s}{t}[/tex]
Where [tex]\vec v[/tex] is velocity, [tex]\vec s[/tex] is displacement and [tex]t[/tex] is time. In this scenario, assume that the car travels in linear path - this means that the displacement equals to distance. Therefore, from the information we have, we can conclude that:
[tex]\vec s[/tex] = 150,000 meters[tex]t[/tex] = 11520 secondsApply in the formula to find velocity:
[tex]\displaystyle {\vec v = \dfrac{150000}{11520}}\\\\\displaystyle{\vec v \approx 13.02 \ \, \sf{m/s}}[/tex]
Therefore, our velocity is approximately 13.02 m/s
si un avión tarda 2 segundos en recorrer 160 metros ¿cuál es su velocidad en km/h?
Answer:
la velocidad del avion es de 304 km/h
Explanation:
Según la pregunta,
La distancia recorrida por un avión en 2 segundos es de 160 metros.
Entonces, para encontrar la velocidad, debemos dividir la distancia recorrida por el tiempo que se tarda en recorrer esa distancia.
[tex] \rm \implies Velocidad = \dfrac{distancia}{tiempo \: empleado} \\ \\ \rm \implies Velocidad = \frac{160}{2} \\ \\ \rm \implies Velocidad = 80 \: m {s}^{ - 1} [/tex]
Para convertir m/s a km/h, el numerador debe dividirse por 1000 y el denominador debe dividirse por 3600. Esto implica que la cantidad total que se da en m/s debe multiplicarse por 3600/1000.
Al convertirlo en forma mínima, la cantidad dada en m/s debe multiplicarse por 18/5 para convertirla en km/h.
[tex] \therefore [/tex]
[tex] \rm \implies Velocidad = 80 \times \dfrac{18}{5} \: km {h}^{ - 1} \\ \\ \rm \implies Velocidad = 16 \times 19 \: km {h}^{ - 1}\\ \\ \rm \implies Velocidad = 304 \: km {h}^{ - 1}[/tex]
particle that is not considered part of an element’s atomic mass?
Answer:
Electrons.
Explanation:
Neutrons are neutral particles found in the nucleus. The atomic mass is calculated using the protons and neutrons but not the electrons, as their mass is negligible. In an example, the element oxygen has an atomic number of 8 and an atomic mass of 16.
The toy car in Figure 20 runs off the edge of a table that is 1.225m high. The car lands 0.4000m from the base of the table. Show all work.
How long did it take the car to fall?
The time taken for the toy car to fall from the given height is 0.5 second.
What is the time of motion of the toy car?
The time of motion of the toy car is calculated by applying the following equation as shown below.
h = vt + ¹/₂gt²
where;
h is the vertical height of fall of the toy carv is the initial vertical velocity of the toy cart is the time of motion of the toy carg is acceleration due to gravity = 9.8 m/s²The initial vertical velocity of the toy car = 0
h = 0 + ¹/₂gt²
h = ¹/₂gt²
2h = gt²
t² = 2h/g
t = √(2h/g)
t = √(2 x 1.225 / 9.8)
t = 0.5 second
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