A dentist uses a concave mirror to examine a tooth that is 1.00 cm in front of the mirror. The image of the tooth forms 10.0 cm behind the mirror.What is the mirror’s radius of curvature?What is the magnification of the image?
Answers
Here ,
object distance (u)= -1.00 cm
image distance(v)= -10.0 cm
focal length = -f
radius of curvature =r
Using concave mirror formula
\(\begin{gathered} \frac{1}{f}=\frac{1}{u}+\frac{1}{v}; \\ \therefore\frac{1}{-f}=\frac{1}{-1}+\frac{1}{-10}; \\ \frac{1}{f}=\text{ }\frac{11}{10}; \\ \therefore f=\text{ }\frac{10}{11}; \end{gathered}\)Again we have
r= 2f
\(\begin{gathered} r=\text{ 2f } \\ \therefore r=\text{ 2}\times\frac{10}{11}\text{ =1.818 cm = 1.82cm\lparen Approx\rparen} \end{gathered}\)answer is 1.82 cm ( negative in sign)
Now magnification is
\(magnification\text{ = }\frac{v}{u}=\text{ }\frac{10}{1}\text{ = 10 }\)
Answer is radius = 1.82cm( negative in sign) & magnification =10
Related Questions
A spring with a spring constant of 34 N/m is stretched 14 m. What is the energy stored in the
spring?
Answers
Answer:
Elastic potential energy
Elastic potential energy is stored in the spring. Provided inelastic deformation has not happened, the work done is equal to the elastic potential energy stored.
Explanation:
becuse
Answer:10
Explanation:
A sound wave has a frequency of 250 Hz and a wavelength of 1.3 m. Calculate the speed of this waves.
Answers
Answer:
325 m/s
Explanation:
Frequency of the wave = 250 Hz
wavelength of the wave = 1.3 m
From the wave formula;
v = λf
v = wave speed
λ = wavelength
f= frequency
v = 250 * 1.3 = 325 m/s
What nuclear process changes one element into another different element?
A
transfiguration
B
transduction
C
transmutation
D
transgeneration
Answers
During which process do particles of matter release energy?
Answers
freezing
During freezing, the temperature of a substance remains constant while the particles in the liquid form a crystalline solid. Because particles in a liquid have more energy than particles in a solid, energy is released during freezing. This energy is released into the surroundings.
A piano has a mass of 99 kg. What is the weight of the piano?
A. 1030 N
B. 842 N
C. 1129 N
D. 970 N
Help!!
Answers
Answer:
\(D.\ 970\ N\)
Explanation:
Given:
Mass of Piano: 99kg
Required:
Calculate its weight
The weight of an object is calculate as thus;
\(Weight = Mass\ (m) * Acceleration\ due\ to\ gravity\ (g)\)
\(m = 99kg\) and \(g = 9.8m/s^2\)
The formula becomes
\(Weight = 99kg * 9.8m/s^2\)
\(Weight = 970.2\ kgm/s^2\)
\(Weight = 970.2\ N\)
\(Weight = 970\ N\) Approximated
Hence, the weight of the piano is 970N
A satellite in orbit decreases in speed but maintains the same angular momentum. how must the radius of the orbit change?
Answers
Answer:
The radius of the orbit must increase.
Explanation:
In science, a new hypothesis must be (mark all correct answers):
1. falsifiable by experimental testing or observations.
2. completely consistent with all previous laws and theories of science.
3. possible to prove correct.
4. based solely on physical causes.
Answers
Answer:
1, 2, and 3.
Explanation:
Hypotheses must be able to be proven false, otherwise it’s a law. It must be consistent with other theories otherwise it’s not true, and it has to be possible to prove correct, otherwise it’s a theory.
The true statement is "Falsifiable by experimental testing or observations." The correct option is 1.
In science, a hypothesis is a proposed explanation or prediction for a phenomenon or set of observations.
A new hypothesis is a fresh idea put forth by a scientist to explain a phenomenon or observation that has not been explained or understood fully by existing scientific theories or hypotheses.
The new hypothesis should be based on previous knowledge and observations, and it should be testable and falsifiable through experiments or observations. Scientists use hypotheses to guide their research and develop theories, which are more comprehensive explanations backed up by multiple lines of evidence.
Therefore, only Option (1) is the correct answer.
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how can changing the kinetic energy of an object cause energy to be transferred to or from the object
Answers
Kinetic Energy. Energy is transferred from one object to another when a reaction takes place. Energy comes in many forms and can be transferred from one object to another as heat, light, or motion, to name a few. For the blue ball to move to the position of the green ball, energy must be given to the blue ball.
Why is rust formed on iron
Answers
Lifting a heavy piano in the air 30
feet to a second story room would
be the easiest by doing which of
the following actions?
A. jumping up 30 feet with the piano on your
back
B. carrying the piano up a ladder that is very
steep
C. carrying the piano up a long staircase with
many steps spread apart
Answers
IMA = inclined mechanical advantage = distance (L) : height (h)
the longer the track / distance the easier we lift it
C. carrying the piano up a long staircase with many steps spread apart
Define pressure in short
Answers
Answer:
hope it helps......
Explanation:
Pressure, in the physical sciences, the perpendicular force per unit area, or the stress at a point within a confined fluid.
A highway curves to the left with radius of curvature of 44 m and is banked at 16 ◦ so that cars can take this curve at higher speeds. Consider a car of mass 1563 kg whose tires have a static friction coefficient 0.72 against the pavement. How fast can the car take this curve without skidding to the outside of the curve?
Answers
The car can take this curve without skidding to the outside of the curve with a speed of 23.47 m/s.
Given that,
Radius of the track r = 44 m
Inclination θ = 16°
Mass of car m = 1563 kg
Coefficient of kinetic friction μ = 0.72
By analysing the free body diagram, we get,
N cos θ - fr - m g = 0 ----(1)
where, N is normal reaction
fr is friction
N cos θ + fr cos θ = mv²/r ----(2)
fr = μ N ----(3)
From (1), (2) and (3) we get maximum velocity without skidding as,
v = √(g r ) × √( tanθ +μ )/(1 - μ tanθ) = √(9.8× 44 ) ×√( tan 16°+ 0.72)/(1 - 0.72 tan 16°) = 20.77 × √1.007/0.79 = 20.77 × 1.13 = 23.47 m/s
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a convex mirror has a focal length of -12 cm. a lightbulb with diameter of 6 cm is placed 60 cm from the mirror
Answers
Here the focal length of the convex mirror as -12 cm, a light bulb with a diameter of 6 cm is placed 60 cm from the mirror. Hence, the image distance is -60 cm, and the image height is 6 cm.
To find the image distance and height, we will use the mirror formula for a convex mirror, which is given as follows;1/f = 1/v + 1/u. Where, f = focal length of the convex mirror;
v = the image distance;
u = the object distance
If the object distance is positive, it means the object is placed in front of the mirror, and if it is negative, it means the object is placed behind the mirror. The focal length of a convex mirror is always negative, as given above.
Therefore, u = -60 cm and f = -12 cm.
Plugging in the values in the mirror formula, we get:1/-12 = 1/v + 1/-60=> -5/60 = 1/v - (1/60) => -5/60 = (60 - v)/60=> v = -300/5= -60 cm
The image distance is -60 cm, which means the image is virtual and erect. The negative sign indicates that the image is formed behind the mirror.
To find the image height, we use the magnification formula:
m = -v/u= -(-60)/(-60)= 1
The magnification is 1, which means the image is of the same size as the object. The height of the light bulb is 6 cm, so the height of the image will also be 6 cm.
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Which phrase is best described as the energy of motion?
Answers
Answer:
The energy of motion is known as kinetic energy.
Explanation:
In which of the following situations is there acceleration? (There may be more than one correct answer)
a. A car is sitting at a stoplight. The light turns green and the car begins moving.
b. A car maintains a speed of 10 mi/hr as it turns a corner.
c. When a truck approaches a stop light, it begins to slow down.
d. A car travels at 65 mi/hr.
Answers
when do mam speakers use the plane stops and when do they use the aspirated stops?
Answers
Answer:
a
Explanation:
i just did it
Answer:A
Explanation:
A body of mass 250g is release d from the top of a building. If the body hits the ground with a velocity of 4m/s, calculate the height of the building (g = 10 m/s squared)
Answers
Answer:
the height of the building is 0.8 m.
Explanation:
Given;
mass of the object, m = 250 g = 0.25 kg
final velocity of the object, v = 4 m/s
let the height of the building = h
Apply the principle of conservation of energy to determine the height of the building;
¹/₂mv² = mgh
¹/₂v² = gh
\(h = \frac{v^2}{2g} \\\\h = \frac{4 ^2}{2 \times 10} \\\\h = 0.8 \ m\)
Therefore, the height of the building is 0.8 m.
gnoring the effect of friction, how much effort is needed to roll a 120-lb drum up a ramp 30 feet long and 3 feet high at its end?
Answers
For roll a 120-pound keg up the element in the overall inclined plane and elevate it 3 feet, we must use a force od 40 pounds. Increased lateral stability achieved via dihedral, the upward tilt of the wings from fuselage.
What does an inclined plane mean according to Kid?A ramp that helps move heavy objects between varying heights is an inclined plane. It is a horizontal surface with a flat surface placed at an angle other than a straight angle.
What name does an inclined plane go by most often?A flat surface that is tilted at such an angle from vertical with one side higher than the other. It is called an inclined plane, commonly referred to as a ramp, and it is used to help raise objects.
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A 6.50 μF capacitor that is initially uncharged isconnected in series with a 4500 Ω resistor and a503 V emf source with negligible internal resistance.
a)Just after the circuit is completed, what is the voltagedrop across the capacitor?
Vc= V
b)Just after the circuit is completed, what is the voltagedrop across the resistor?
VR = V
c)Just after the circuit is completed, whatis the charge on the capacitor?
Qo= C
d)Just after the circuit is completed, whatis the current through the resistor?
IR= A
e)A long time after the circuit is completed(after many time constants), what are the values of the precedingfour quantities?
Vc, V R, I,Q= V, V, A, C
Answers
the circuit is completed, the voltage drop across the capacitor (Vc) is 0 V, the voltage drop across the resistor (VR) is equal to the emf source (503 V), the charge on the capacitor (Qo) is 0 C, and the current through the resistor (IR) is 0.1118 A. A long time after the circuit is completed, the voltage across the capacitor (Vc) is 503 V, the voltage drop across the resistor (VR) is 0 V, the current through the resistor (IR) is 0 A, and the charge on the capacitor (Q) is 3.27 mC.
a) Just after the circuit is completed, the voltage drop across the capacitor (Vc) is 0 V, as it has not had time to charge yet.
b) Just after the circuit is completed, the voltage drop across the resistor (VR) is equal to the emf source, which is 503 V, since the capacitor acts like a short circuit.
c) Just after the circuit is completed, the charge on the capacitor (Qo) is 0 C, as it has not had time to charge yet.
d) Just after the circuit is completed, the current through the resistor (IR) can be calculated using Ohm's law: IR = VR / R = 503 V / 4500 Ω = 0.1118 A.
e) A long time after the circuit is completed, the values are as follows:
- Voltage across the capacitor (Vc) is equal to the emf source, which is 503 V, as it becomes fully charged.
- Voltage drop across the resistor (VR) is 0 V, as the current stops flowing through the resistor when the capacitor is fully charged.
- Current through the resistor (IR) is 0 A, as the capacitor is fully charged and current stops flowing.
- Charge on the capacitor (Q) can be calculated using Q = C * Vc = 6.50 μF * 503 V = 0.00327 C or 3.27 mC.
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uranus and neptune are like the other jovian planets because they:
Answers
Uranus and Neptune are like the other Jovian planets because they have a lot of gaseous composition, they lack a solid surface, and they are situated far from the sun.
The Jovian planets are four planets in the outer solar system that are gas giants, also known as the gas planets. They are Jupiter, Saturn, Uranus, and Neptune. In terms of the composition of Uranus and Neptune, they contain methane, ammonia, water, and other elements that form gas. Like the other Jovian planets, they lack a solid surface, and they are situated far from the sun.
The rings of Uranus and Neptune are fainter and less complex than the rings of Jupiter and Saturn, but they share certain features. Both Uranus and Neptune are thought to have a small rocky core surrounded by a mix of rock and ice, then a thick layer of metallic hydrogen, and an atmosphere mainly of molecular hydrogen and helium. So therefore because gaseous composition, lack a solid surface, and situated far from the sun, Uranus and Neptune are like the other Jovian planets.
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Ariel and Jackson are playing miniature golf. Ariel's ball rolls into a long, straight upward incline with a speed of 3.054 m/s and accelerates at -0.7762 m/s/s for 1.51 seconds until it reaches the top of the incline and then continues along an elevated section. Determine the length of the incline.
Answers
Answer:
The length is \(s = 3.73 \ m\)
Explanation:
From the question we are told that
The speed is \(v = 3.054 \ m/s\)
The acceleration \(a = -0.7762 m/s^2\)
The time taken is \(t = 1.51 \ s\)
Generally from kinematics equation the length of the inclined plane is mathematically represented as
\(s =ut + \frac{1}{2} * at^2\)
=> \(s = 3.054 *1.51 + \frac{1}{2} * (-0.7762) *(1.51)^2\)
=> \(s = 3.73 \ m\)
A block weighing 35 N is resting on a steel table (us = 0.40).
The minimum force to start this block moving is ___ N.
Answers
Answer: 14
Explanation:
Force(normal)*coefficient
The static friction force is a force that prevents motion of an object kept on a surface, due to the interaction of the surface of the object and the surface on which it is kept
The minimum force required to start the block moving is 14 NReason:
The known parameter are;
The weight of the block, W = 35 N
The static friction of the surface of the table surface, \(\mu_s\) = 0.40
Required:
To find the minimum force to start the block moving
Solution:
The force required to start the block moving is given by the frictional force that needs to be surpassed
Force required, F = Force of friction
Force of friction = Normal reaction × Coefficient of static friction
On a flat surface, the normal reaction = The weight of the object
∴ Force of friction, \(F_f\) = Weight of the object × Coefficient of static friction
Which gives;
\(F_f = W \times \mu_s\)
\(F_f = 35 \, N \times 0.40 = 14 \, N\)
Force required, F = Force of friction, \(F_f\) = 14 N
The minimum force required to start the block moving, F = 14 N
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5. A space shuttle travels from earth and through space at a speed of 260,000 km/s. How
far into space did the space shuttle travel during the first 40 seconds?
Equation
Data
Plug in
Answer/units
T=260,000 km/should
Answers
Answer:
considering that a space shuttle travels 7,850 m/s and it traveled 40 seconds it would be 314,000 I think this is the right answer
Explanation:
What is the formula for distance, time and acceleration to get to speed
Answers
The equations of motion are:
\(v=u+at\\v^2=u^2+2as\\s=ut+\frac{1}{2}at^2\)
Hence, the formula for distance (or displacement (s) ), time (t), and acceleration (a) to get to speed (u), is:
\(s = ut+\frac{1}{2} at^2\)
a crate rests in the rough bed of a truck. when the truck accelerates to the left at a constant rate, what is the direction of the friction force acting on the crate? (you can assume that the crate doesn't slip in the bed of the truck.)
Answers
The friction force acting on the crate will be in the opposite direction to the acceleration of the truck.
The friction force is opposite, because an unbalanced force, such as acceleration, will result in a friction force in the opposite direction. This is known as the Law of Inertia. The magnitude of the friction force will be dependent on the coefficient of friction between the crate and the truck bed, as well as the weight of the crate.
Assuming that the crate does not slip in the bed of the truck, then the friction force will always oppose the acceleration and will remain constant, even if the acceleration increases or decreases. This is because the static friction between the crate and the bed of the truck is much greater than the kinetic friction, and the static friction is only exceeded when the acceleration becomes too great for it to resist.
In summary, when the truck accelerates to the left at a constant rate, the friction force acting on the crate will be in the opposite direction to the acceleration of the truck. This force will remain constant until the acceleration becomes too great for the static friction to resist.
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An electron (me = 9.1 x 10-31 kg) traveling south at a constant speed of 5.0 x 106 m/s enters a
region where the downward component of earth's magnetic field is 3.5 x 10-5 T. What is the
magnitude and direction of the acceleration of the electron at this instant?
Answers
Answer:
F = Q V X B
V X B = south X downard = East - deflection is West
Since Q is negative the deflection = West
a = F / m = Q V B / m
a = 1.6E-19 * 5*E6 * 3.5E-5 / 9.1E-31
a = 1.6 * 5 * 3.5 / 9.1 * 10^13 m/s^2 = 3.1 * 10^13 m/s^2
Fill in these blanks:
If you increase the temperature of gas in a container that cannot expand, the pressure will _______. This is because the particles in the gas are moving _______ and colliding _______ often.
Answers
If you increase the temperature of gas in a container that cannot expand, the pressure will increase. This is because the particles in the gas are moving faster and colliding more often.
What happens when temperature of gas is increased?The kinetic theory of gases explains that the temperature of a gas is related to the average kinetic energy of its particles. When the temperature of the gas is increased, the particles move faster and collide more frequently with the walls of the container, resulting in a greater number of collisions per unit of time.
This increased number of collisions leads to an increase in pressure within the container, as the force of each collision adds up to a greater overall force on the walls of the container. Therefore, increasing the temperature of gas in a container that cannot expand will lead to an increase in pressure.
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a person on a boat moving north at 15 m/s throws a rock due east at a speed of 8 m/s. what is the magnitude (the number of meters per second), of the resultant velocity of the rock?
Answers
The magnitude (the number of meters per second), of the resultant velocity of the rock is 23 m/s.
What is the magnitude?A person on a boat moving north at 15 m/s throws a rock due east at a speed of 8 m/s.Add all of the numbers for the x-components together, square that number to get the magnitude of the resulting velocity. Add this to the earlier value after doing the same operation for the y-components. Finally, to determine the magnitude, square the result.The equation a = v/t denotes acceleration (a), which is the change in velocity (v) over the change in time (t).15 m/s + 8 m/s = 23 m/s.
The magnitude (the number of meters per second), of the resultant velocity of the rock is 23 m/s.
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Help please ASAP !! Thanks
Answers
Answer:
I think its C
Explanation:
During an all-night cram session, a student heats up a 0.858 liter (0.858 x10 −3
m 3
) glass (Pyrex) beaker of cold coffee. Initially, the temperature is 18.2 ∘
C, and the beaker is filled to the brim. A short time later when the student returns, the temperature has risen to 90.6 ∘
C. The coefficient of volume expansion of coffee is the same as that of water. How much coffee (in cubic meters) has spilled out of the beaker?
Answers
approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.To calculate the volume of coffee that has spilled out of the beaker, we can use the concept of thermal expansion. The change in volume is given by the formula ΔV = βVΔT, where β is the coefficient of volume expansion, V is the initial volume, and ΔT is the change in temperature.
First, let's convert the initial volume to cubic meters: V = 0.858 x 10^(-3) m^3.
Next, we calculate the change in temperature: ΔT = 90.6 - 18.2 = 72.4 °C.
The coefficient of volume expansion for water (and coffee) is approximately β = 3.4 x 10^(-4) °C^(-1).
Plugging in these values into the formula, we get:
ΔV = (3.4 x 10^(-4) °C^(-1)) * (0.858 x 10^(-3) m^3) * (72.4 °C) = 2.093 x 10^(-6) m^3.
Therefore, approximately 2.093 x 10^(-6) cubic meters (or 2.093 milliliters) of coffee has spilled out of the beaker.
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