Answer:
Use the formula
g = GM/R^2
where
g = acceleration of gravity on moon
G = universal gravitational constant
= 6.67 x 10^-11 m^3/kg-s^2
M = mass of the moon
R = radius of the moon
solving for R, we get
R = 1.74 x 10^6 kg
The small piston of the hydraulic press with an area of 20 cm² is subjected to a force of 200 N and has lowered by 50 cm. What force acts on a large piston with an area of 0.01 m² and to what height did it rise? (I already found out that large piston force is 1000N how do I calculate in what height did it rise?)
Answer:
The large piston would rise by [tex]10\; \rm cm[/tex] (which is equal to [tex]0.1\; \rm m[/tex].)
Explanation:
Convert the unit of the area of the larger piston to [tex]\rm cm^{2}[/tex]:
[tex]0.01\; \rm m^{2} = 100\; \rm cm^{2}[/tex].
If the pipe is cylindrical, the liquid that the smaller piston pushed into the pipe would be a cylinder:
Height of the cylinder: [tex]50\; \rm cm[/tex].Area of the top of the cylinder: [tex]20\; \rm cm^{2}[/tex] (same as the area of the smaller piston.)Volume of liquid that the smaller piston pushed into the pipe:
[tex]\begin{aligned} & \text{Volume of Cylinder} \\ &= \text{Area of the Top of the Cylinder} \\ &\quad\quad \times \text{Height of Cylinder} \\ &= 20\; \rm cm^{2} \times 50\; \rm cm \\ &= 1000\; \rm cm^{3} \end{aligned}[/tex].
Unlike gas, the volume of a liquid (such as the one in this hydraulic press) at a given temperature tends to be fixed.
Therefore, when the small piston pushed [tex]1000\; \rm cm^{3}[/tex] of liquid into the pipe, liquid of the exact same volume ([tex]1000\; \rm cm^{3}\![/tex]) would appear under the larger piston and push the larger piston upwards.
Rearrange the equation to find the height by which the larger piston rises (same as the height of the [tex]1000\; \rm cm^{3}[/tex] liquid cylinder under the larger piston.)
[tex]\begin{aligned} & \text{Height of Cylinder} \\ &= \frac{\text{Volume of the Cylinder}}{\text{Area of the Top of the Cylinder}} \\ &= \frac{1000\; \rm cm^{3}}{100\; \rm cm^{2}} = 10\; \rm cm \end{aligned}[/tex].
the diagram above shows a uniform metre rule, X Y which is balance horizontally at the 90cm mark, when a mass of 0.4kg is suspended from Y. what is the mass of the metre rule
Answer:
0.1 Kg
Explanation:
Please see attached photo for explanation.
In the attached photo, M is the mass of the metre rule.
From the attached photo,
Anticlock wise moment = M × 40
Clockwise moment = 0.4 × 10
Anticlock wise moment = Clockwise moment
M × 40 = 0.4 × 10
M × 40 = 4
Divide both side by 40
M = 4 / 40
M = 0.1 Kg
Thus, the mass of the metre rule is 0.1 Kg
Tommy runs his juicer every morning. The juicer uses 90 w of power & the current supplied in 4.5 A. How many volts are necessary to run the juicer?
Answer:
20 Volts
Explanation:
Ohm's Law and Power Equations
Ohm's law equation (formula): V = I × R and the power law equation
(formula): P = I × V. P = power, I or J = Latin: influare, international ampere, or intensity and R = resistance. V = voltage, electric potential difference Δ V or E = electromotive force (emf = voltage).
Voltage or volts E or V: volts V
Resistivity or resistance R: ohms Ω
Wattage or power P: watts W
Amperage or current I: amperes, amps A
Light travels through a vacuum at a speed of 3 x 10 m/s. What is the speed of
light in water if the index of refraction is 1.333?
Answer:
v = c / n (n = 1 for air)
v = c / 1.33 = 3 * 10E8 m/s / 1.33 = 2.25 * 10E8 m/s
In the circuit shown below, 0.25 A of current flows through a 20-Ω resistor. How much voltage is needed to produce this current?
A. 80 V
B. 0.013 V
C. 19.75 V
D. 5 V
Answer:
5 V
Explanation:
V = IR
V = .25A * 20 Ohms = 5 V
how do the conditions in tube c prevent air reaching the iron nail
Answer:
The conditions stop air from getting to the nail is the oil
Explanation:
What is the difference between center of mass and center of gravity?
Answer:
Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field. Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.
Answer:
Centre of mass is the point at which the distribution of mass is equal in all directions, and does not depend on gravitational field.
Centre of gravity is the point at which the distribution of weight is equal in all directions, and does depend on gravitational field.
hope this helps you ☺️☺️
9.
The refractive index of water will change with its temperature due to the change in
density of its molecules.
a. True
b. False
please answer this im not sure
Answer:
the answer is B
why silicon have large forward current as compared to germanium?
Answer:
The structure of Germanium crystals will be destroyed at higher temperature. However, Silicon crystals are not easily damaged by excess heat. Peak Inverse Voltage ratings of Silicon diodes are greater than Germanium diodes. Si is less expensive due to the greater abundance of element.
Which type of diffraction occurs when the point source and the screen are at finite distances from the obstacle forming the diffraction pattern?
A. fraunhofer
B. fresnel
C. far-field
D. single slit
A force F is exerted at a distance D from the axis of rotation of a wrench and is exerted at an angle θ to the wrench (θ is the angle between the direction of the force and the wrench). What force f could be exerted on the wrench at a distance 2D and perpendicular to the wrench so that the torques created by the two forces are EQUAL. Give your answer in terms of F and θ.
Answer:
Torque = R X F = R * F sin theta
-f * 2R will exert an equal opposite torque
-f * 2 = F sin theta
f = -F sin theta / 2
Total momentum before a collision is equal to total momentum after a collision.what does this define
Answer:haha
Explanation:dont know
4. When an ice cube in a glass of water melts, does the water level in the glass
rise or fall or remain unchanged? Explain your answer. What law guides
your answer?
Answer:
it remains unchanged
Explanation:
it remains unchanged because the ice was already in there unless it was taken out then the water would have gone down.
The force between two charges is 2.2 x 10-4 N. One of the charges is changed
and the force becomes 4.4 X 104 N. What change was made to the charge?
Please help me
Explanation:
Given that,
The force between two charges, [tex]F=2.2\times 10^{-4}\ N[/tex]
New force becomes, [tex]F'=4.4\times 10^{4} N[/tex]
We see that, the new force is 2 times more than the initial force.
The force is directly proportional to the product of forces and inversely to the square of the distance between charges.
It means, one of the charges gets doubled and it results in the doubling of force.
The new charge is 2 ×10⁸ times the old charge.The force is directly proportional to the product of charge;
What is electric force?The electric force between the two charges is directly propotional to the product of the charge and inversly propotional to the square of the distance between them.
The given data in the problem is;
q₁ is the megnitude of charge 1
q₂ is the megnitude of charge 2
k is the proportionality constant = 9 x 10⁹ Nm² / C²
r is the separated distance
F is the electric force=2.2 x 10-4 N
F' is the new electric force= 4.4 X 104 N.
The force is directly proportional to the product of charge;
[tex]\frac{F'}{F} =2 \times 10^8 \\\\ \frac{q_1 q_2}{q_1'q_2'} = 2 \times 10^8\\\\ \frac{q_1}{q_1'}= 2 \times 10^8 \\\\ q_1=2 \times 10^8 q_1'[/tex]
Hence the new charge is 2 ×10⁸ times the old charge.
To learn more about the electric force refer to the link;
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An airplane flew from San Francisco to Washington, D.C. Approximately
halfway through the flight, the plane had traveled 2,000 km in 2.5 hours.
What was the speed during this period?
Another airplane is flying in the opposite direction. It covers the same distance in exactly 2 hours. What was its speed and direction during this period?
Answer:
The solution is given below:
Explanation:
The computation of the speed is shown below
As we know that
Speed = distance ÷ time
where
distance is 2000 km
And, the time is 2.5 hours
SO, the speed is
= 2,000 ÷ 2.5
= 800 km/h
Now the distance would be the same i.e. 2,000 km
but the time is 2 hours
So, the speed is
= 2,000 km ÷ 2 hours
= 1,000 km/hr
The direction should be opposite to the first airplane
X-rays are electromagnetic waves used to obtain images of bones. An x-ray machine produces x-ray waves with a frequency of 1.25 x 10^18 Hz.
(a) Calculate the time period of these x-rays.
Answer:
[tex]T=8\times 10^{-19}\ s[/tex]
Explanation:
Given that,
The frequency of x-ray is, [tex]f=1.25\times 10^{18}\ Hz[/tex]
We need to find the time period of these x-rays. Let it is be T. We know that, the relation between f and T is given by :
T = 1/f
So,
[tex]T=\dfrac{1}{1.25\times 10^{18}}\\\\=8\times 10^{-19}\ s[/tex]
So, the time period of these x-rays is equal to [tex]8\times 10^{-19}\ s[/tex].
The time period of the electromagnetic wave is 8.0 × 10⁻¹⁹ seconds.
Given the data in the question;
Frequency; [tex]f =1.25 * 10^{18}Hz[/tex]
Time period; [tex]T =\ ?[/tex]
Time period is simply the time taken for one complete cycle of vibration to pass a given point.
It is expressed as:
[tex]T = \frac{1}{f}[/tex]
We substitute our value into the equation
[tex]T = \frac{1}{1.25 * 10^{18}Hz} \\\\T = \frac{1}{1.25 * 10^{18}s^{-1}}\\\\T = 8.0 * 10^{-19}s[/tex]
Therefore, the time period of the electromagnetic wave is 8.0 × 10⁻¹⁹ seconds.
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A police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s.
a.) What is the speed of the sound waves relative to you?
b.) What is the wavelength of the sound waves at your location?
c.) What frequency do you detect?
Answer:
A.) 355 m/s
B.) 0.71 m
C.) 500Hz
Explanation:
Given that a police car is traveling due east at a speed of 15.0 m/s relative to the earth. You are in a convertible following behind the police car. Your car is also moving due east at 15.0 m/s relative to the earth, so the speed of the police car relative to you is zero. The siren of the police car is emitting sound of frequency 500 Hz. The speed of sound in the still air is 340 m/s
a.) What is the speed of the sound waves relative to you?
Since the car is moving away from the observer, the relative velocity will be:
Relative velocity = 340 + 15
Relative velocity = 355 m/s
b.) What is the wavelength of the sound waves at your location?
Using the wave speed formula
V = frequency × wavelength
Make wavelength the subject of formula.
Wavelength = Velocity / frequency
Wavelength = 355/500
Wavelength = 0.71 m
c.) What frequency do you detect?
Fo = Fs ( C + V ) / ( C + v )
Fo = Fs
That is, the frequency of the observer will be equal to the frequency of the source.
Therefore, Fo = 500Hz
A container contains 26 ounces of salt. Convert 26 ounces to pounds.
Answer:
1.625 Pounds Explanation:
According to the momentum principle, the change in momentum of an object equals the impulse, which depends on______
Answer: The momentum principle depends on MASS and VELOCITY.
Explanation:
The momentum principle states that net force changes the the momentum of an object where momentum is the product of the MASS of the body and it's VELOCITY.
Thus, momentum = mass(kg) ×velocity( m/s)= kgm/s ( derived unit)
Also to determine the rate of change of momentum;
Mass=m, initial velocity =u, final velocity = V and time =t
Initial momentum = mu
Final momentum = mv
Change in momentum = mv - mu
= m( v- u)
Rate of change of momentum=
m( v -u)/t --> equation 1
But V = u + at
Hence, a = v -u/t
Substitute for v -u/ t in equation 1
F = Kma, where k is constant and has the value of 1.
Therefore F = ma
Newton is the SI unit if force. It is defined as the force which gives a mass of 1kg an acceleration of 1 m/s².
IMPULSE is defined as the change of momentum of a body (mv-mu) or the product of force and time.
Thus impulse = force × time = m (v-u)
The unit is Ns ( Newton seconds) which is the same as change in momentum.
A healthy person has body temperature 37°c,What is temperature on Fahrenheit scale? Show by calculation.
Answer:
98.6 degrees Fahrenheit.
Explanation:
Human body temperature is 37.0 degrees Celsius or 98.6 degrees Fahrenheit.
What is the KE of a bicycle with a mass of 41kg traveling at a velocity of 8 m/s ?
Answer:
What is the kinetic energy of a bicycle with a mass of 14 kg traveling at a velocity of 3 m/s? Physics ... K=12mv2=12×14 kg × (3 m/s)2=63 Joule.
1 answer
63 Joule Explanation: K=12mv2=12×14 kg × (3 m/s)2=63 Joule
Explanation:
K=12mv2=12×14 kg × (3 m/s)2=63 Joule.
63 Joule Explanation: K=12mv2=12×14 kg × (3 m/s)2=63 Joule
The surface of the paper is phosphorescent. When light shines on it, some of the energy is absorbed and re-emitted slowly over time. The blue LED causes the surface to glow, but the green LED does not. Would a red LED to cause the surface to glow? Select the best answer from the choices provided. View Available Hint(s) Select the best answer from the choices provided. No Yes
Answer:
No
Explanation:
Recall that the hierarchy of wavelength color from minimum wavelength to maximum wavelength is:
[tex]V < I < B < G < Y < O < R;[/tex] and
[tex]E \ \alpha \ \dfrac{1}{\lambda}[/tex]
As a result, blue light has a higher energy level than green and red light.
As a result, the surface glows due to the blue LED. The green LED, on the other hand, would not allow the surface to glow as much as the red LED, which has a lower energy level when compared to the green light. As a result, the red LED would not allow the surface to glow as well.
Planck’s constant is a ratio between which two quantities?
A. the frequency and wavelength of a photon
B. the speed and frequency of any small particle
C. the energy and frequency of a photon
D. the kinetic energy and velocity of a photoelectron
Answer:
Energy and frequency
Explanation:
help!
the potential difference between two points, a and b, in an electric field is 2.00 volts. the energy required to move a charge of 8.00x10^-19 coulomb from point a to point b is
Answer:
1.60 x 10^-18 J
Explanation:
we know that, Work done = Voltage x Charge,
hence we get as,
Energy = V x Q
E = 2 x (8.0 * 10^-19)
==> E = 16 x 10^-19
=> E = 16/10 x 10^-18
==> E = 1.60 x 10^-18 J
What forms when two air masses meet and create weather?
When jumping straight down, you can be seriously injured if you land stiff-legged. One way to avoid injury is to bend your knees upon landing to reduce the force of the impact. A 75-kg man just before contact with the ground has a speed of 5.5 m/s.
(a) In a stiff-legged landing he comes to a halt in 1.5 ms. Find the average net force that acts on him during this time.
275735 N
(b) When he bends his knees, he comes to a halt in 0.08 s. Find the average force now.
? N
(c) During the landing, the force of the ground on the man points upward, while the force due to gravity points downward. The average net force acting on the man includes both of these forces. Taking into account the directions of these forces, find the force of the ground on the man in parts (a) and (b).
stiff legged landing 275735 N
bent legged landing ??? N
Answer:
a)[tex]F_{net} =275000N[/tex]
b)[tex]F_{net}'= 386718.75N[/tex]
Explanation:
From the question we are told that:
Man's Mass [tex]M=75kg[/tex]
Speed of man [tex]V_m=5.5m/s[/tex]
a)
Landing time [tex]t_l=1.5ms[/tex]
Generally the equation for average net force F_{ net} is mathematically given by
[tex]F_{net} = 75 *5.5 /(0.0015) N[/tex]
[tex]F_{net} =275000N[/tex]
b)
Landing time [tex]t=0.08s[/tex]
Generally the equation for average net force[tex]F_{ net}[/tex] is mathematically given by
[tex]F_{net}' = impulse /time \\ F_{net}'= \frac{m * u}{t}[/tex]
[tex]F_{net}'= \frac{75 * 5.5}{0.08}[/tex]
[tex]F_{net}'= 386718.75N[/tex]
What is the kinetic energy of a 1 kg pie if it is thrown at 10 m/s?
Given
mass (m) = 1 kg
velocity (v) = 10 m/s
kinetic energy ( ke) = ?
,we know
K.E =1/2 m v²
= 1/2 * 1 * 10²
= 100/2
=50 joule
hope it helps :)
The kinetic energy of a 1 kg pie if it is thrown at 10 m/s is 50 joule.
What is kinetic energy?Energy due to motion of the body is kinetic energy. Whether an object is moving vertically or horizontally, it contains kinetic energy.
Kinetic energy can take many different forms, including vibrational (the energy resulting from vibrational motion), rotational (the energy resulting from rotational motion), and translational energy (the energy due to motion from one location to another). To keep things straight-forward, we'll concentrate on translational kinetic energy.
An object's mass (m) and speed (v) are two factors that affect how much translational kinetic energy it has (from this point on, the term "kinetic energy" will refer to translational kinetic energy). The kinetic energy (K.E) of an object is denoted by the equation below.
K.E = (1÷2)×m×v²
where m = mass of object
v = speed of object
Given that in question 1 kg pie is thrown at the velocity of 10 m/s,
K.E = (1÷2)×1×(10)²
K.E = 50 joule
So the kinetic energy of the pie is 50 joule.
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What is revolution?
A. The spinning of an object on its axis
B. The motion of an object along a curved path
C. The orbit of a satellite around a central body
D. The motion of two objects around each other
Explanation:
B. the motion of an object along a curved path
hope it helps.
Answer:
the orbit of a satellite around a central body
Explanation:
hope that helps :)
According to Lenz's law, the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.
a. True
b. False
Answer:
True
Explanation:
It is true that the real definition of lenz's law in magnetism is the current is induced in the closed conducting loop in such a direction that the magnetic field induced by this current opposes the change in the flux through the loop.
This means that induced current opposes the very cause that produces it.