A wooden box with a mass of 10.0 kg rest on a ramp that is incline at an angle of 25° to the horizontal. A rope attached to the box runs parallel to the ramp and then passes over a frictionless bully. A bucket with a mass of M hangs at the end of the rope. The coefficient of static friction between the ramp in the box is 0.50. The coefficient of Connecticut friction between the ramp in the box is 0.35.
Suppose the box remains at rest relative to the ramp. What is the maximum magnitude of the friction force exerted on the box by the ramp?
The maximum magnitude of the friction force exerted on the box by the ramp is 44.41 N.
The given parameters;
Mass of the box, m = 10 kgInclination of the ramp, θ = 25⁰Coefficient of static friction, μ = 0.5 Coefficient of kinetic friction, μk = 0.35The normal force on the wooden box is calculated as follows;
\(F_n = mg \times cos(\theta)\\\\F_n = 10 \times 9.8 \times cos(25)\\\\F_n = 88.8 2 \ N\)
The maximum magnitude of the friction force exerted on the box by the ramp is calculated as follows;
\(F_f = \mu \times F_n\\\\F_f = 0.5 \times 88.82 \\\\F_f = 44.41 \ N\)
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A Ring, a solid Cylinder and a solid sphere all having the same mass and the Same radius are held at the top of an inclined plane if the objects are roll without slipping and the (see the picture)between each object and the plane is 0.3 if they are released from an incloed plane at the same time which wal bee reach the bottom first?
Answer:
Since they all have the same mass and radius they all experience the same amount of torque.
Torque = moment of inertia * angular acceleration
The one with the smallest moment of inertia will experience the greatest angular acceleration and thus reach the bottom first.
I = M r^2 ring
I = 1/2 M r^2 cylinder
I = 2/5 M r^2 sphere
The sphere will reach the bottom first.
a) A ball is kicked with an initial velocity of 22 m/s at 35° degree angle. For how long does the ball remain in the air? b) What maximum height is attained by the ball
The time of flight is 2.57 s
The maximum height is 8.12 m
What is projectile motion?Projectile motion refers to the motion of an object that is launched into the air and then moves under the influence of gravity. A projectile is any object that is given an initial velocity and then moves freely under the influence of gravity, without any additional propulsion or guidance.
For the time of flight;
T = 2u sinθ/g
T = 2 * 22 * sin35/9.8
T = 2.57 s
Then the maximum height is;
H = u^2sin^2θ/2g
H = (22)^2 (sin 35)^2/2 * 9.8
H = 8.12 m
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The following are four electrical components.
A. A component which obeys ohm's law
B. Another component which obeys ohm's law
but which has higher resistance than A
A filament lamp
C.
D. A component, other than a filament lamp,
which does not obey ohm's law.
a. For each of these components, sketch current-
voltage characteristics, plotting current on the
vertical axis, and showing both positive and
negative values. Use one set of axes for A and
B, and separate sets of axes for C and for D.
label your graphs clearly.
b.
Explain the shape of the characteristic for C
c. Name the component you have chosen for D.
For the following are four electrical components:
a. For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.
b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it.
c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction.
For the following are four electrical components:
a. Sketches of current-voltage characteristics:
For components A and B, both of which obey Ohm's law, the current-voltage characteristics would be a straight line passing through the origin. The slope of the line for component B would be steeper than that of component A, indicating higher resistance.
Current (I)
^
| B
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
+------------------> Voltage (V)
Current (I)
^
| A
| /
| /
| /
| /
| /
| /
| /
| /
| /
|/
+------------------> Voltage (V)
For component C, a filament lamp, the current-voltage characteristic would be a curve that is not linear. It would exhibit a non-linear increase in current with increasing voltage. At lower voltages, the lamp would have low resistance, but as the voltage increases, the resistance of the filament also increases due to the phenomenon of thermal self-regulation. This leads to a slower increase in current at higher voltages.
For component D, a component that does not obey Ohm's law, the current-voltage characteristic could be any non-linear curve depending on the specific component chosen. Examples of components that do not obey Ohm's law include diodes and transistors.
b. The shape of the characteristic for component C, the filament lamp, can be explained by its construction. A filament lamp consists of a filament made of a resistive material, typically tungsten, which heats up and emits light when an electric current passes through it. As the voltage across the filament increases, the temperature of the filament increases as well, causing its resistance to increase. This increase in resistance results in a slower increase in current with increasing voltage, leading to the characteristic non-linear curve observed.
c. The component chosen for D, which does not obey Ohm's law, could be a diode. A diode is a two-terminal electronic component that allows the current to flow in only one direction. It exhibits a non-linear current-voltage characteristic where it conducts current only when the voltage is above a certain threshold, known as the forward voltage. Below this threshold, the diode has a high resistance and blocks current flow in the reverse direction. The characteristic curve of a diode would show negligible current flow until the forward voltage is reached, after which it exhibits a rapid increase in current with a relatively constant voltage.
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The primary 40-turn coil of an ideal transformer is supplied with 120 V (rms). If the rms voltage output of the secondary coil is 15 V, how many turns are in the secondary coil, and what type of transformer is this
Answer:
No. of turns in secondary coil are 5.
Transformer Type: STEP DOWN TRANSFORMER
Explanation:
The relationship of the no. of turns in transformer secondary and primary coils with their voltages is known as the turn ration. The formula for turns ratio is as follows:
Np/Ns = Vp/Vs
where,
Np = No. of turns in primary coil = 40
Ns = No. of turns in secondary coil = ?
Vp = Voltage supplied to primary coil = 120 V
Vs = Voltage output of secondary coil = 15 V
Therefore,
40/Ns = 120 V/15 V
Ns = 40/8
Ns = 5
TYPE OF TRANSFORMER:
Since, this transformer decreases the voltage value at the output. Hence it is a STEP DOWN TRANSFORMER.
What does the horizontal line through the center of the wave on a graph represent?
Answer:
This is the midline or the medium which is the exact middle of the graphs minimum and maximum points(which are the amplitude)
Love, which can't be observed or measured directly, is an example of a psychological construct.
Please select the best answer from the choices provided
О Тrue
O False
Answer:
True
Explanation:
A psychological construct can't be observed and you can feel this,
Example: anxiety, anger, sadness
A car of mass 800 kg is climbing an incline of 10° to the horizontal. If the car moves a distance of 50 m up the incline, determine the potential energy.
Answer:
h = distance up = 50 sin 10
m g h = 800 * 9.81 * 50 sin 10 Joules
Explanation:
Describe how to demonstrate the thermal energy is dissipated from a cup of hot tea
Answer:
Explanation:
1. Place a cup of hot tea on a flat surface.
2. Place a thermometer in the tea and record the temperature.
3. Place a fan in front of the cup of tea and turn it on.
4. Place the thermometer in the tea again and record the temperature.
5. Compare the two temperatures and observe the difference.
6. The difference in temperature is an indication of the thermal energy that has been dissipated from the cup of hot tea.
You have to lift a 15 kg object. What is your output force?
Using a lever, you push down 20 N to lift a 10 kg object.
A) Find the output force.
B) What is the input force?
C) How much does the ramp multiply your force?
You push with 10 N up a ramp to move a 40 N object to the top
of a table. By how much does the ramp multiply your force?
Answer:
Explanation:
A) The output force required to lift a 15 kg object would be equal to the weight of the object, which is given by:
Output force = Weight of object = m * g
where m is the mass of the object and g is the acceleration due to gravity. Assuming that g is equal to 9.81 m/s^2, we have:
Output force = 15 kg * 9.81 m/s^2 = 147.15 N
Therefore, the output force required to lift a 15 kg object would be 147.15 N.
B) In this case, the input force is the force that you are pushing down with the lever, which is given as 20 N.
C) The mechanical advantage of the ramp is given by the ratio of the output force to the input force. In this case, the output force is the weight of the object (40 N) and the input force is the force that you are pushing with (10 N). Therefore, the mechanical advantage of the ramp would be:
Mechanical advantage = Output force / Input force = 40 N / 10 N = 4
So, the ramp multiplies your force by a factor of 4.
Note that in all of these calculations, we have assumed that the system is ideal and that there are no losses due to friction or other factors. In practice, these losses will reduce the mechanical advantage of the system and make it more difficult to lift or move objects.
The displacement (in meters) of a particle moving in a straight line is given by S= t^2 - 7t + 17 ii)iii)iv)
Given displacement of a particle moving in a straight line,
\(S=t^2-7t+17\)(i) Calculate the average velocity in the interval [3,4]
\(\begin{gathered} \text{Average velocity = }\frac{S(4)-S(3)}{4-3} \\ \text{Average velocity = }\frac{\lbrack(4)^2-7\times4+17\rbrack-\lbrack(3)^2-7\times3+17\rbrack}{4-3} \\ \text{Average velocity =}\frac{5-5}{1} \\ \text{Average velocity = 0 m/s} \end{gathered}\)(iii) Calculate the average velocity in the time interval [4,5].
\(\begin{gathered} \text{Average velocity = }\frac{S(5)-S(4)}{5-4} \\ \text{Average velocity = }\frac{\lbrack(5)^2-7\times5+17\rbrack-\lbrack(4)^2-7\times4+17\rbrack}{5-4} \\ \text{Average velocity = }\frac{7-5}{1} \\ \text{Average velocity = }2 \end{gathered}\)(iv) Calculate the average velocity in the time interval [4,4.5].
\(\begin{gathered} \text{Average velocity = }\frac{S(4.5)-S(4)}{4.5-4} \\ \text{Average velocity = }\frac{\lbrack(4.5)^2-7\times4.5+17\rbrack-\lbrack(4)^2-7\times4+17\rbrack}{4.5-4} \\ \text{Average velocity = }\frac{5.75-5}{0.5} \\ \text{Average velocity = }1.5 \end{gathered}\)What is magnitude of the acceleration of a particle of mass and charge placed between the plates of a parallel plate capacitor of charge density
Answer:
a = Qo / E0m
Explanation:
The acceleration of a particle of mass m and charge q placed between the plates of a parallel plate capacitor is, \(a=\frac{q*E}{m}\)
Let us consider that mass and charge of particle is m and q.
and electric filed between plates of a parallel plate capacitor is E.
The force on a particle between plates of capacitor is given as,
\(F=q*E\)
And also, \(F=m*a\)
Where a is acceleration of particle.
From above equations,
\(m*a=q*E\\\\a=\frac{q*E}{m}\)
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100 POINTS AND BRAINLIEST
Answer:
b
Explanation:
The materials are most likely used to change the surface area of the ramp. For example, the sand paper can change the ramp's texture. The wax paper can also change the surface area of the ramp by texture, it can be made smoother.
Answer:
B.
Explanation:
Hope it helped!
A pendulum bob is released from some ini-
tial height such that the speed of the bob at
the bottom of the swing is 3.0 m/s.
The acceleration of gravity is 9.81 m/s².
What is the initial height of the bob?
A bob is the mass on the end of a pendulum found most commonly, but not exclusively, in pendulum clocks.
What is a bob on a pendulum?
A basic pendulum consists of a light, flexible, inextensible thread with a heavy but tiny item, known as a "bob," at one end. Graph: Pendulum clocks employ it. It's used to calculate the acceleration caused by gravity.
Clock pendulums are typically composed of a weight or bob attached to the bottom end of a rod, with the top linked to a pivot so it can swing, despite the fact that a pendulum's shape or any rigid item hanging on a pivot is theoretically possible.
The benefit of this design is that it places the centre of mass farthest from the pivot, nearer to the actual end of the pendulum. This reduces the length of the pendulum needed for a specific period and increases moment of inertia.
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SOMEONE HELP PLEASE I ASKED THIS TWICE LAST NIGHT I MEAN DAM!! You drop a water balloon from a second-story window. Which formula would you use to calculate the velocity of the water balloon just before it hits the ground, assuming it is in free fall?
A. v=g/t B. v=get C. g=vt D. t=vg
Answer:
I think it would be V=g/t
An athlete is injured on the field. His teammates see that the injury is moderately swollen, and the athlete reports that the area is numb. What is the first thing that his teammates should do?
A.
test whether he can put weight on the area
B.
protect the athlete from further injury
C.
apply a compression wrap to the injured area
D.
ice the injured area for five minutes
Vincent carrying his luggage with a mass of 10.5kg . If he does 100J of work to what height will raise it?
The height of the luggage with work done of 100J with a mass of 10.5 kg is 0.97m.
Work done equals the product of force and displacement. The energy that gets transferred by the force to move a object is called work done. Work done is equal to the potential energy of the object.
Work done = potential energy
= m×g×h
m is the mass of the luggage = 10.5 kg
g is the acc. due to gravity = 9.8 m/s
W is the work done = 100J
h (height) = W / (m×g)
= 100 / ( 10.5×9.8)
= 0.97 m
Thus, the luggage rises above the ground with a height of 0.97 m.
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2. A well 1000m deep at an angle of 45 degree, what is the true vertical depth of the well?
Answer: 707.11m
Explanation:
since the well is at 45 degrees, we can use trig ratios to figure out the vertical depth of the well as u can see image attached.
then since we are looking for the vertical depth and we have information on the hypotenuse we can say
sin45= \(\frac{verticle height}{1000}\)
therefore, we can say.
1000sin(45) = vertical height
hence
vertical height = 707.11m
write down the value of
920 kg in g
Answer:
920000
Explanation:
Each kg contains 1,000 grams
The sound from a clarinet at a distance of 5 m from a sound level meter is found to be 52 dB. If
the frequency is 1000 Hz, find (a) the sound loudness level in phons, (b) the sound intensity in
watts/meter2, and (c) the power of the source in watts.
There are 90 phones of volume, 10-7 W/m2 of sound intensity, and 0.0314 watts of source power.
Which frequency is the simplest?A straightforward frequency analysis compares the values of the fields you provide and generates a report listing each value for those fields along with the frequency at which each value occurs.
How often does sound occur?The rate at which a sound power wave repeats itself, also known as frequency or pitch, is measured in cycles per second. Bullfrog calls and cricket chirps have lower frequencies than drum beats and whistles, respectively.
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What question can a student BEST answer when comparing and contrasting the models?
A.
How does each model affect the temperature of a substance?
B.
How does temperature affect the rate of reaction of a substance?
C.
How does temperature affect the phase of matter of a substance?
D.
How does the phase of matter affect the temperature of a substance?
Answer:
A. how dose each model effect the temperature of a substance
Explanation:
Which objects cannot be observed in detail without a microscope?
Answer:
partecls
Explanation:
because they are to small to see with plain eyes
Mr. Jones's prescription calls for 1.04 tablets per day. Based on this information, how many tablets should Mr. Jones take per day? a) 1.25 O b) 1.5 c) 1 O d) 2
I think the answer is a but I'm not sure I'm really a little confused I want to check with this app please can someone heelp me
Answer:
c
Explanation:
It really depends on what the stuff is. This should not be a math or physics question.
Having said that, I answer it by rounding it to 1. 1.04 is closest two one.
That is not entirely a satisfactory answer. Most people who take medications have pill splitters. They easily cut a pill in half. They can do this only if a the medicine's directions, or a pharmacist, or a doctor tells you can do this. Cutting it into quarters should never be done.
So a is really incorrect medically.
1.5 is too far away
C is probably the intended answer; it would annoy me no end if it was anything but c. If this was just a rounding question, it rounds to c. There is no medication that requires an intake of 1.04. No one could get that kind of accuracy.
2 is really too far away.
A first order reaction is 40% completed in 30 minutes. what fraction of reactant remains at 40 minute?
Answer:
Explanation:
ln(A) = ln(A₀) - kt
g What is the CD's moment of inertia for rotation about a perpendicular axis through the edge of the disk
Answer:
Explanation:
A CD has an OD of 120 mm and an ID of 15 mm and has a mass between 14 and 33 grams. Let's call it m
Lets call the outer and inner radii R and r respectively
Find the moment of inertia about a line perpendicular to the surface of the disc through its center. We can integrate or look up the result from standard tables
I = ½m(R² + r²)
then use the parallel axis theorem to shift the position of the axis
I = ½m(R² + r²) + md²
where d is the distance of the shift. In this case d = R
I = ½m(R² + r²) + mR²
I = m(1.5R² + 0.5r²)
If we select a mass of say 20 grams
I = 0.020(1.5(0.060²) + 0.5(0.0075²))
I = 0.0001085625 kg•m²
What is the magnitude of the resultant vector? Round your answer to the nearest tenth. m
The magnitude of the resultant vector to round the answer to the nearest tenth, we look at the digit in the hundredth's place. If this digit is 5 or greater, we round up. If it is less than 5, we round down.
In the study of physics, we use vectors to represent quantities that have both direction and magnitude. It is often the case that we want to add two or more vectors together to obtain a single vector that represents the net result of these additions. The process of adding two or more vectors together is known as vector addition.The magnitude of the resultant vector is the length of the line that represents it on a scale drawing.
When we add two or more vectors together, the resultant vector is the vector that represents the net result of these additions. To find the magnitude of the resultant vector, we use the Pythagorean theorem, which states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.
In the case of vector addition, the hypotenuse is the resultant vector, and the other two sides are the component vectors. If we have two vectors a and b, the magnitude of the resultant vector is given by the following equation:|R| = √(ax2 + bx2)where R is the resultant vector, a and b are the component vectors, and x is the angle between the vectors.
For example, if the answer is 12.345, we would round it to 12.3.
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A car has a mass of 1200 kg and a velocity of 14 m/s. Calculate the
momentum of the car.
Answer:
p = 16,800
Explanation:
A system consists of two uncharged metal spheres, each suspended on an insulating string and connected to the other by a thin
conducting wire. A positively charged rod is brought near, but does not touch, the left sphere, and the sphere is attracted to the rod. Which
of the following is correct about the net charge on the right sphere as a result?
The right sphere will acquire an equal and opposite net positive charge to balance the negative charge on the left sphere.
Electrostatic attractionSince the left sphere is attracted to the positively charged rod, it means that the left sphere acquires a temporary negative charge due to induction.
The positive charge on the rod repels electrons in the left sphere, causing them to move away from the rod side and accumulate on the opposite side, resulting in a net negative charge on the left sphere.
According to the principle of charge conservation, the net charge on the system must remain zero. Therefore, the right sphere acquires an equal and opposite net positive charge to balance the negative charge on the left sphere.
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customer complains of an aluminum foil mixed with his salad? what will you do?
Answer:
offer them a refund or a remake/ replacement of food item whilst apologizing sincerely
This problem relates to a design competition in which a 1-kg battery-powered vehicle must be propelled up a 0.9-m tall ramp within a 15-second time interval. a. For a run time of 9 seconds, how much power must the battery supply to the vehicle
Answer:
P = 0.98 W
Explanation:
Given that,
Mass, m = 1 kg
Height, h = 0.9 m
(a) We need to find power must the battery supply to the vehicle for a run time of 9 seconds. Power is given by work done divided by time. It can be given by :
\(P=\dfrac{W}{t}\\\\P=\dfrac{mgh}{t}\\\\P=\dfrac{1\times 9.8\times 0.9}{9}\\\\P=0.98\ W\)
So, the required power is 0.98 W.