A spring that can be assumed to be ideal hangs from a stand, as shown above. The spring constant, k, of an ideal spring is defined as the force per unit length and differs from one spring to another. It can be measured in both a static (motionless) and dynamic (in motion) mode A You wish to determine experimentally the spring constant k of the spring in a static (motionless) situation What additional, commonly available equipment would you need? ü What measurements would you make? m. How would k be determined from these measurements? 1 B. You wish to determine experimentally the spring constant k of the spring in a dynamic (moving) situation. What additional, commonly available equipment would you need? What measurements would you make C. Assume that the spring constant is determined to be 500 N/m A 20 kg mass is attached to the lower end of the spring and released from rest. Determine the frequency of oscillation of the mass
(a) The additional commonly available equipment you would need is stop watch.
(b) The measurement obtained with stop watch is period of oscillation. The period of oscillation can be used to determine angular speed and the angular speed is used to determine the spring constant.
(c) The frequency of oscillation of the mass is 0.8 Hz.
Value of spring constant from experimentThe value of spring constant can be determined experimentally with a mass and stop watch to record the period of oscillation.
How to calculate spring constantk = ω²m
where;
ω is angular speed = 2πf = 2π/Tm is massWith a known mass attached to the spring, the period of the oscillation can be determined using stop watch. The period of the oscillation can be used to determine the frequency and angular speed of the oscillation. The angular speed can be used to determine the spring constant, K.
Frequency of the oscillationω² = K/m
ω² = 500/20
ω² = 25
ω = √25
ω = 5 rad/s
ω = 2πf
f = ω/2π
f = 5/2π
f = 0.8 Hz
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(a ) A 14 turns circular coil is placed on a paper which lies in 1.2 T magnetic field pointing inwards to the paper. The coil's diameter changes from 22.5 cm to 7.2 cm in 1.8 s.
(i) Determine the direction of the induced current. .
(ii) Calculate the magnitude of the emf induced in the circuit.
(iii) Calculate the induced current if the circular coil resistance is 7.5 Ω
(b) A circular coil of N turns with current 9.4 mA has an inductance 15 mH. Calculate
(i) magnetic flux linkage through the coil. (ii) radius of the coil if N = 420 turns.
(i) The direction of the current will be in opposite direction to the magnetic field.
(ii) The magnitude of the emf induced in the circuit is 0.359 V.
(iii) The induced current if the circular coil is 0.048 A.
b(i) The magnetic flux linkage through the coil is 1.41 x 10⁻⁴ Tm².
b(ii) The radius of the coil is r√3 m.
Direction of the currentThe direction of the current will be in opposite direction to the magnetic field.
Emf induced in the circuitInitial area of the coil = (πd²)/4
Initial area of the coil = (π x 0.225²)/4 = 0.0398 m²
Final area of the coil = (π x 0.072²)/4 = 0.001296 m²
[tex]emf = \frac{NB(A_1 - A_2)}{t} \\\\emf = \frac{14 \times 1.2(0.0398 - 0.001296)}{1.8} \\\\emf = 0.359 \ V[/tex]
Induced currentI = emf/R
I = 0.359/7.5
I = 0.048 A
Magnetic flux linkage through the coilФ = LI
Ф = 0.015 x 0.0094
Ф = 1.41 x 10⁻⁴ Tm²
Radius of the coil[tex]L = \frac{\mu_o N^2\pi r^2}{l} \\\\r^2 = \frac{Ll}{\mu_o N^2\pi } \\\\r = \sqrt{\frac{Ll}{\mu_o N^2\pi } } \\\\r = \sqrt{\frac{0.015(l)}{4\pi\times 10^{-7} \times (420)^2 \pi } } \\\\r = 3 \sqrt{l} \ m[/tex]
where;
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A ball is dropped off a building and falls past a window that is 2.2m long. If it takes .28s for the ball to cross the window what is the distance from the top of the building to the top of the window?
What is the mass of a 330 N television? The acceleration due to gravity at the surface of Earth is 9.8 m/s^2
Answer: 33.7kg
Explanation:
Using Newton's 2nd Law, the force of gravity is equal to the mass times the acceleration:
[tex]F=ma[/tex]
The force would be the weight due to the gravitational field. And the acceleration would be the one due to gravity:
[tex]330N=m(9.8m/s^2)[/tex]
[tex]m=330/9.8[/tex]
[tex]m=33.7kg[/tex]
1. A cart moving at 5.0 m/s is brought to a stop by the force plotted in the force-time graph shown here. Find the impulse and the approximate mass of the cart. Show all your work
Answer:
Impulse is 0.4 x 18= 7.2
Explanation:
Impulse is defined as the integral of force over the time duration. When you do the integration of Newtons second law, momentum is
[tex]\int\limits^a_b {F} \, dt =\int\limits^a_b {\frac{dp}{dt} } \, dt[/tex]
= Δp
If momentum p is defined as the integral of force per unit time, then we can take the area under the curve to find momentum, as the area under the curve can approximate the integral of the function.
Therefore, to quickly summarize, taking the maximum force, 18N , multiplied by duration of the interaction, which is 0.5s-0.1s=0.4s, will give your momentum, in the units of kg•m/s.
Hope that helps!
6. How much heat is absorbed by a persons hand if 100 grams of liquid water at 100°C is poured on his hand? (Assume the final temperature of the water will be normal body temperature of 37°C)
The heat absorbed by a persons hand is 26,359.2 J.
Heat absorbedThe quantity of heat absorbed by the persons hand is heat gained or transferred from the hot water to cold hand. This is based on the principle of conservation of energy.
The quantity of heat absorbed is calculated as follows;
Q = mcΔθ
where;
Q is the quantity of heat absorbedm is mass of the liquidΔθ is change in temperatureQ = 100 x 4.184 x (100 - 37)
Q = 26,359.2 J
Thus, the heat absorbed by a persons hand is 26,359.2 J.
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An object of mass M is at rest at the origin at time t = 0 . At that time, a force F = A(t^2) (where A is a positive constant and F is in newtons when t is in seconds) is applied to the object. After 2 s, the velocity of the object in m/s will be
At that time, a force F = A(t²), after 2 s, the velocity of the object in m/s will be 8 (A/M) m/sec.
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.
Let a be acceleration of mass M
By Newton 2nd Las, Force = mass * acceleration
F = A (t²) = M * a
a = A (t²) / M
By kinematics, final velocity = initial velocity + acceleration * time
Mass is at rest at t = 0 so initial velocity
So velocity after 2 s is
= 0 + A (2²) / M * 2
= 8 (A / M) m/sec
At that time, a force F = A (t²), after 2 s, the velocity of the object in m/s will be 8 A/M m/sec.
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The velocity of the object after 2 seconds will be the result of integrating the acceleration in time. The acceleration of the object is the second derivative of position, which is the first derivative of velocity. Therefore, we can calculate the velocity of the object at any time t from the formula:
velocity = integral(acceleration)
The acceleration in this case is the force F divided by the mass M, or A(t^2)/M. Therefore, *the speed of the object after 2 seconds would be:
velocity = integral(A(t^2)/M)= (A/M) * integral(t^2)= (A/M) * (t^3/3) + CWhere C is a constant of integration. Since the object was at rest at time t=0, its velocity will also be zero at that moment. Therefore, we can set C=0 and calculate the velocity of the object after 2 seconds:
velocity = (Y/M) * (2^3/3)= (Y/M) * (8/3)= (8/3) * A/M m/sAfter 2 s, the speed of the object in m/s will be 8 (A/M) m/s.You need to make a generator for your bicycle light that will provide an alternating emf whose peak value is 4.2 V. The generator coil has 55 turns and rotates in a 0.040-Tesla magnitude magnetic field.
If the coil rotates at 400 revolutions per second, what must the area of the coil be to develop this emf?
The area of the coil must be 7.6 x 10⁻⁴ m².
Peak induced emf
The peak emf induced in a coil is determined by applying Faraday's law of electromagnetic induction as shown below;
emf(peak) = NBAω
Where;
ω is the angular frequency in rad/sA is the area of the coilN is number of turnsB is magnetic field strength[tex]\omega = 400 \ \frac{rev}{ s} \times \frac{2\pi \ rad}{1 \ rev} \ = 2,513.6 \ rad/s[/tex]
[tex]A = \frac{emf (peak)}{NB\omega} \\\\A = \frac{4.2}{55 \times 0.04 \times 2,513.6} \\\\A = 7.6 \times 10^{-4} \ m^2[/tex]
Thus, the area of the coil must be 7.6 x 10⁻⁴ m².
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At a particular point near a second charge, a 50-µC charge experiences an attractive force of 2.0 N. What is the electric field strength at that point? Use [tex]10^{-6}[/tex] coulumb for 1µC.
The electric field strength at the point where 50 µC charge experienced an attractive force of 2.0 N is 4×10⁴ N/C
What is electric field strength?This is simply defined as the force per unit charge. Mathematically, it is expressed as:
E = F / Q
Where
E is the electric field strength F is the force Q is the charge How to determine the electric field strengthFrom the question given above, the following data were obtained:
Charge (Q) = 50 µC = 50×10¯⁶ CForce (F) = 2 NElectric field strength (E) =?E = F/Q
E = 2 / 50×10¯⁶
E = 4×10⁴ N/C
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hi im a little stuck on this question that came from my textbook in class it got a little confusing for me because i really dont know how to taxle this problem especially because of the fact that the problem is talking about pushing and not tension.
it writes
"A 1,480-N crate is being pushed across a level floor at a constant speed by a force F of 370 N at an angle of 20.0 degrees below the horizontal, as shown in the figure a below. The floor has some amount of friction. "
The questions ask me to make a "free-body diagram"
- write an equation each for the x & y components of the resultant force
-determine the normal force and lastly what exactly is the coefficient of kinetic friction between the crate and the floor
Consult the attached free body diagram.
By Newton's second law, the net force on the crate acting parallel to the surface is
∑ F[para] = (370 N) cos(-20°) - f = 0
(this is the x-component of the resultant force)
where
• (370 N) cos(-20°) = magnitude of the horizontal component of the pushing force
• f = magnitude of kinetic friction
The crate is moving at a constant speed and thus not accelerating, so the crate is in equilibrium.
Solve for f :
f = (370 N) cos(-20°) ≈ 347.686 N
The net force acting perpendicular to the surface is
∑ F[perp] = n - 1480 N - (370 N) sin(-20°) = 0
(this is the y-component of the resultant force)
where
• n = magnitude of normal force
• 1480 N = weight of the crate
• (370 N) sin(-20°) = magnitude of the vertical component of push
The crate doesn't move up or down, so it's also in equilibrium in this direction.
Solve for n :
n = 1480 N + (370 N) sin(-20°) ≈ 1606.55 N ≈ 1610 N
Then the coefficient of kinetic friction is µ such that
f = µn ⇒ µ = f/n ≈ 0.216
Statement: Baseball is not a dangerous sport unless either a bat breaks or a player is hit with a ball.
Key: B = A bat breaks.
D = Baseball is a dangerous sport.
P = A player is hit with a ball.
Answer:
P
Explanation:
If the bat break it will get replaced and you will get another bat,but if u get hit with the ball it's dangerous in many ways
An undersea research chamber is spherical with an external diameter of 6.20 m. The mass of the chamber, when occupied, is 60400 kg. It is anchored to the sea bottom by a cable. The density of sea water is 1025 kg/m3. Calculate the following: (express your answers using appropriate mks units.)
(a) the buoyant force on the chamber
(b) the tension in the cable
Below are advantages of the parallel circuit, except one. Which is it?
A.
Two or more pathways allow electric current to pass through
B.
Parallel circuit requires many wiring connections.
C.
Individual devices can be controlled
D.
When a bulb burns out, other bulbs continue to glow
Answer:
B
Explanation:
parallel circuits required m
PLEASE HELP ASAPPP !!!!!!
Answer:
the answer is the answer
Explanation:
if you find the answer you get the answer
2) Show all the necessary steps clearly and briefly to proof the SI unit of angular momentum is (Newton meter second) [2Marks]
Answer:
Key Points
When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.
The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.
If the net torque is zero, then angular momentum is constant or conserved.
Key Terms
quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.
torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)
angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.Key Points
When an object is spinning in a closed system and no external torques are applied to it, it will have no change in angular momentum.
The conservation of angular momentum explains the angular acceleration of an ice skater as she brings her arms and legs close to the vertical axis of rotation.
If the net torque is zero, then angular momentum is constant or conserved.
Key Terms
quantum mechanics: The branch of physics that studies matter and energy at the level of atoms and other elementary particles; it substitutes probabilistic mechanisms for classical Newtonian ones.
torque: A rotational or twisting effect of a force; (SI unit newton-meter or Nm; imperial unit foot-pound or ft-lb)
angular momentum: A vector quantity describing an object in circular motion; its magnitude is equal to the momentum of the particle, and the direction is perpendicular to the plane of its circular motion.
Explanation:
Find the period of oscillation of a pendulum with a length of 0.75 m.
Answer:
1.74 s
Explanation:
[tex]T=2\pi\sqrt\frac{L}{g}=2\pi\sqrt\frac{0.75}{9.81}[/tex]
T = 1.74 s
(6) Two long, straight, parallel wires carry currents that are directed perpendicular to the page as shown in Figure. Find the value and direction of hy in terms of I to have net magnetic field equal zero at the origin.
The point at which the net magnetic field will be zero, the magnetic field due to first wire must be equal and opposite in direction to the magnetic field due to the second wire.
Magnetic field between two the parallel wiresThe magnetic field between two parallel wires is determined as follows;
B = μI/2πd
where;
B is magnetic field strengthI is the current in one wired is the distance between the parallel wires.From the formula above we can conclude that, the point at which the net magnetic field will be zero, the magnetic field due to first wire must be equal and opposite in direction to the magnetic field due to the second wire.
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A parallel plate capacitor has a potential difference between its plates of 1.6 V and a plate separation distance of 2.5 mm. What is the magnitude of the electric field if a material that has a dielectric constant of 3.4 is inserted between the plates
(a) The magnitude of the electric field of the material is 600 V/m.
(b) The magnitude of the electric field of the material in the presence of dielectric constant is 176.5 V/m.
Electric field of the materialThe magnitude of the electric field of the material is calculated as follows;
E = V/d
where;
E is the electric fieldV is the potential difference between the platesd is the distance of separationSubstitute the given parameter into the equation above.
E = 1.5/(2.5 x 10⁻³)
E = 600 V/m
Electric field in the presence of dielectric constantE = E₀/k
E = 600/3.4
E = 176.5 V/m
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a man is walking inside a bus which is travelling at 56.2 km/h.if the speed of the man relative to the ground is 55.8 km/h,is he walking towards the front or the back??
Answer:
rawr
Explanation:
a measure has true value of 2.00and the measurement value was found to e 1.95.calculate the precision of the measuring instruments
Answer:
(2 - 1.95 / 2) = .05 / 2 = .025 or 2.5 %
The value found should be within ±2.5%
The precision of the measuring instruments will be 2.5%.
What is precision?It should be noted that precision simply means how close a test result will be when it's repeated.
In this case, the precision of the measuring instruments will be:
= (2 - 1.95)/2.
= 0.05/2
= 2.5%
Therefore, the the precision of the measuring instruments will be 2.5%.
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Kraig pulls on a rope attached to a box with a mass of 500kg to the right at an angle of 40 degrees to the horizontal with a force of 30 N for 150 seconds. The box does not move from its’ original position, determine the work done by Kraig.
Answer:
zero
Explanation:
The box does not move from its’ original position, so the displacement is zero, then the work done is zero.
A plane took from Chicago to Paris 8 h to finish a journey. If the distance of the journey was 6600 km, at what average speed did the plane travel
Answer:
825 km/hr
Explanation:
To find the average speed, you simply have to divide the distance by the time taken.
Distance travelled = 6600 km
Time Taken: 8 hours
Average speed = 6600 ÷ 8 or 6600/8 = 825 km/hr
Your final answer would be the plane travelled at an average speed of 825 kilometres per hour.
Put these 5 events in the correct order. Formation of Atoms, Time begins, Formation of Galaxies
Formation of subatomic particles, Formation of stars
Answer:
Time begins, Formation of subatomic particles, Formation of Atoms, Formation of stars, Formation of Galaxies
Explanation:
At the beginning right after the big bang time starts then sub-atomic particles forms i.e. protons, neutrons from this atoms form and after that stars and galaxies form.
which of the following can enter and exit an open system?
A. Matter but not energy
B. energy but not matter
C. Matter and energy
D. Neither energy nor matter
A open system that is open to its surroundings can trade both matter and energy.
In an open system, what is possible?Both matter and energy can be transferred between an open system and its surroundings. The stovetop example would be regarded as an open system because heat and water vapour might be lost to the atmosphere. On the other hand, a closed system can only exchange energy, not matter, with the environment.
A system is considered to exist when energy can enter or escape it.A closed system is a type of thermodynamic system in which mass is conserved within the system's boundaries but energy can easily enter or leave the system. Depending on what is being exchanged, the interactions between the system and its environment alter.
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Answer: C
Explanation:
i just took it
An unknown metal has a volume of 20.2 cm³ and a mass of 390 grams. What was the density of this metal?
Group of answer choices
11.3 g/cm³
8.9 g/cm³
7.8 g/cm³
19.3 g/cm³
[tex]\tt \rho=\dfrac{m}{V}[/tex]
ρ = density
m = mass
V = volume
input the value:
[tex]\tt \rho=\dfrac{390}{20.2}=19.3~g/cm^3[/tex]
In adolescence, friendships become less interethnic. Why might this be? Did this hold true for you in adolescence
Answer:
hi-
Explanation:
During the early teenage years, friendships become more intense, close and supportive. The amount that teenagers communicate with their friends increases. Teenage friendships tend to be based on personal similarity, acceptance and sharing. Same gender friendships are most common during the early high school years.
1. How friction is being applied when you perform the activity in making the T-Shirt design with iron on transfer using crayons and sandpaper?
2. Describe what kind of friction is applied when you rub the crayons with the sandpaper.
(a) The inscriptions made in the design is possible due to friction when carving.
(b) The friction applied when you rub the crayons with the sandpaper is kinetic friction
What is friction?Friction is a force that opposes two surfaces that are in contact. It limits the movement between these two surfaces.
Friction applied in the designThe inscriptions made in the design is possible due to friction when carving.
Friction between the crayon and sandpaperThere are two types of friction, static and kinetic friction. The friction applied when you rub the crayons with the sandpaper is kinetic friction because of there is movement between two surfaces.
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What is radioactivity????
Radioactivity is a nuclear phenomenon. It is the process of spontaneous emission of α (alpha particles) or β (beta particles) and γ (gamma particles ) radiations from the nucleus of atoms during their decay.
Uranium and radium are the two radioactive substances.Explanation:
Hope it helps you!!Answer:
radioactivity is the act of emitting radiation spontaneously. This is done by an atomic nucleus that, for some reason, is unstable; it "wants" to give up some energy in order to shift to a more stable configuration.
Explanation:
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A student taking an Earth Science class tries to move a rock with a weight of 10,000 N. He strains and huffs and puffs but fails to budge the rock. How much work did your friend do?
Answer:
zero
Explanation:
zero, because no displacement
What do waves transfer? Question 1 options: only matter energy only water only particles
Answer:
they transfer Matter and energy