Consider a teeter-totter that is made out of pine, shown below. A pineapple sits on
one side of the teeter-totter, a distance 1.23 m from the pivot point, while an apple
(non-pine) sits on the other side, a distance of 2.95 m from the pivot. If the
pineapple has a mass 121 g, what must the mass of the apple be in order to balance
the teeter-totter (ie, to maintain rotational equilibrium)?
Answers
Answer:
Approximately [tex]50.5\; {\rm g}[/tex] (rounded to three significant figures.)
Explanation:
Let [tex]m_\text{p}[/tex] and [tex]m_\text{a}[/tex] denote the mass of the pineapple and the apple, respectively.
Let [tex]r_{\text{p}}[/tex] denote the distance between the pineapple and the pivot. Let [tex]r_{\text{a}}[/tex] denote the distance between the apple and the pivot.
Because of gravity, both the pineapple and the apple would exert a normal force on the seesaw. The magnitude of that force is equal to the weight of the fruit. Let [tex]g[/tex] denote the gravitational field strength.
Normal force from the pineapple: [tex]F_\text{p} = m_{\text{p}}\, g[/tex].Normal force from the apple: [tex]F_\text{a} = m_{\text{a}}\, g[/tex].Since these two forces are perpendicular to the seesaw, the magnitude of the torque exerted by the pineapple and the apple would be:
From the pineapple: [tex]\tau_{\text{p}} = F_\text{p}\, r_\text{p} = m_{\text{p}}\, g\, r_{\text{p}}[/tex].From the apple: [tex]\tau_{\text{a}} = F_\text{a}\, r_\text{a} = m_{\text{a}}\, g\, r_{\text{a}}[/tex].For the seesaw to maintain a rotational equilibrium, these two torques need to balance each other. Thus:
[tex]m_{\text{p}} \, g\, r_{\text{p}} = m_{\text{a}} \, g\, r_{\text{a}}[/tex].
Rewrite and simplify this equation to find an expression for the unknown mass of this apple, [tex]m_{\text{a}}[/tex]:
[tex]\begin{aligned}m_{\text{a}} &= \frac{m_{\text{p}}\, g\, r_\text{p}}{g\, r_\text{a}} \\ &= \frac{m_{\text{p}}\, r_{\text{p}}}{r_\text{a}}\end{aligned}[/tex].
Substitute in the values [tex]m_\text{p} = 121\; {\rm g}[/tex], [tex]r_\text{p} = 1.23\; {\rm m}[/tex], and [tex]r_{\text{a}} =2.95\; {\rm m}[/tex] and evaluate:
[tex]\begin{aligned}m_{\text{a}} &= \frac{m_{\text{p}}\, r_{\text{p}}}{r_\text{a}} \\ &= \frac{121\; {\rm g} \times 1.23\; {\rm m}}{2.95\; {\rm m}} \\ &\approx 50.5\; {\rm g}\end{aligned}[/tex].
Thus, the mass of the apple should be approximately [tex]50.5\; {\rm g}[/tex].
Related Questions
The range of a projectile is found by multiplying which two factors?
the horizontal velocity
the maximum height
the time of flight
the vertical velocity
Answers
ANSWER:
A & C
Explanation:
Range depends upon two factors, horizontal velocity and air time of the projectile. Since velocity was constant throughout the investigation, the only factor that had an impact upon the range is air time. Increasing the height means that the projectile has a greater vertical distance to travel.
Answer: the time of flight & the horizontal velocity
Explanation: I got the problem right!
A 5kg ball held above the ground has 500 J of gravitational potential energy if the ball is allowed to fall how much velocity does it have just before hitting the ground
Answers
Answer:
This GPE calculator will find the missing variable in the physics equation for gravitational potential energy, when three of the variables are known.
Explanation:
<3
A force of 400.0N is exerted on a 1,250N car while moving it at a distance of 3.0m. How much work was done on the car?
Answers
Answer:
solution
force(f)=400N
distance(d)=3m
Now,
Work done =F x d
=400 x 3
=1200J
Explanation:
The work done on the car is 1,200 Joules.
Work (W) is calculated using the formula: W = force (F) × distance (d) × cos(θ), where θ is the angle between the force and the direction of motion.
Given:
Force (F) = 400.0 N
Distance (d) = 3.0 m
The angle between the force and the direction of motion is not given, so we assume that the force is applied in the direction of motion, making the angle θ = 0°. In this case, cos(0°) = 1.
Therefore, W = 400.0 N × 3.0 m × 1 = 1,200 Joules.
So, 1,200 Joules of work was done on the car to move it a distance of 3.0 meters with a force of 400.0 N in the same direction as the motion.
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Two blocks are connected by a pulley system represented in the diagram below. M1= 60kg and M2=12kg. Wh
is the coefficient of friction required to keep the masses at rest?
Answers
Hi there!
Assuming the pulley is frictionless and massless, we can do a summation of forces for each block.
Block 1 has the tension force (in direction of acceleration) and force of static friction acting on it. For the block to be stationary, the net force must be 0, so:
[tex]\Sigma F = T - F_S[/tex]
[tex]0 = T - F_S\\\\T = F_S[/tex]
Now, we can do a summation for Block 2.
[tex]\Sigma F = W_2 - T\\\\0 = W_2 - T\\\\T = W_2[/tex]
We can substitute this tension in the above equation to solve for the force of static friction and the coefficient of static friction.
[tex]F_S = W_2\\\\\mu m_1g = m_2g\\\\\mu = \frac{m_2}{m_1} = \boxed{\mu = .2}[/tex]
Which has more pressure, FIRST one gets all the points.
Answers
Answer:
area of point has more pressure.
Explanation:
formula's : pressure = force ÷ area
1st pressure,
200 ÷ 0.2 = 1000 Pa
2nd pressure,
200 ÷ 0.004 = 50000 Pa
Therefore the pressure on the area of the point is more.2. In Erikson's eight stages of psychosocial development, toddlerhood is marked by
Answers
Autonomy versus shame and doubt is the second stage of Erik Erikson's stages of psychosocial development. This stage occurs between the ages of 18 months to around age 2 or 3 years. According to Erikson, children at this stage are focused on developing a greater sense of self-control.
2. If the system mass is 600 grams and the mass of the disks hanging on the string is 100 grams, predict the acceleration.
m/s/s
I need help as fast as possible PLEASE!!
Answers
The acceleration of the hanging disk is 49 m/s².
Acceleration of the massesThe acceleration of the masses will occur in the direction of the greater weight.
Net weight of the objectsThe net downward weight of the objects is calculated as follows;
[tex]F_{net} = W_2 - W_1\\\\F_{net} = g (m_2 - m_1)[/tex]
where;
g is acceleration due to gravitym₁ is the mass of the smaller object = 100 gramsm₂ is the mass of the bigger object = 600 gramsThe acceleration of the smaller massThe acceleration of the smaller object is calculated by applying Newton's second law of motion as follows;
[tex]m_1 a= g(m_2 - m_1)\\\\a = \frac{g(m_2 - m_1)}{m_1} \\\\a = \frac{9.8(600-100)}{100} \\\\a = 49 \ m/s^2[/tex]
Thus, the acceleration of the hanging disk is 49 m/s².
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Please answer and show work:
What time would it take a plane moving at 500milies/hour to travel 4000 miles?
A) 1.25 hours
B) 5 hours
C) 8 hours
D)500 hours
Answers
Distance/speed=time
Therefore 4000/500=8
pls pls help i am in 8th grade k12 How is the temperature affected (increased or decreased) when the iron block is placed in the water?
a. the iron black (temp increase or decrease)
b. the water (temp increase or decrease)
Question 3 options:
Blank # 1
Blank # 2
Answers
Explanation:
the water temperature increase or decrease
Like geothermal energy, solar heat is another clean and sustainable source of energy. Under ideal conditions (midday, no
clouds) photovoltaic cells, often called solar panels, can produce as much as 200 watts per square meter. Even though geothermal produces less energy than this, what advantage does geothermal energy have over solar energy?
Answers
Answer:It is known that geothermal vitality has numerous preferences compared with sun oriented and wind frameworks. These points of interest incorporate climate confirmation, base stack, incredible steadiness, and tall warm effectiveness. The entire introduced capacity of geothermal power, be that as it may, is much less than sun powered and wind.
Answer:
The amount of sunlight received depends on time of day and weather. So, the amount of solar energy produced can be inconsistent. However, heat flows out of Earth all the time, so the supply of geothermal energy is more reliable and consistent.
Explanation:
PLATO
When driving a Toyota avensis car along a straight road for 16.5km at
50km/h, it suddenly runs out of fuel and stopped. Over the next 20min,
you walked another 2.5km further along the road for a petrol station.
Determine the average velocity of your journey from beginning of your
drive to your arrival at the fuelling station.
A 10.Oms-1
B. 8.Oms
C. 6.Oms D. 4.0ms 1
Answers
The average velocity of the whole journey will be total distance covered divided by the total time. It will be approximately equal to 8 m/s. The right answer is option B
VELOCITYVelocity is the distance travelled in a specific direction. While the average velocity of the whole journey will be total distance covered divided by the total time
When driving a Toyota avensis car along a straight road for 16.5km at
50km/h,
The velocity = 50 km/h
Distance = 16.5 km
Use the speed formula to calculate time.
Speed = distance / time
Time = distance / speed
Time = 16.5 / 50
Time = 0.33 s
If over the next 20min, you walked another 2.5km further along the road for a petrol station, Then,
average velocity = Total distance covered divided by total time taken.
Where
The time t = 20/60 = 0.333 h
Total time = 0.33 + 0.3333
Total time = 0.6633333
Total distance = 16.5 + 2.5
Total distance = 19 km
Average velocity = 19 / 0.66333
Average Velocity = 28.64 km/h
Now convert Km/h to m/s
(28.6432 x 1000) / 3600
286432 / 3600
7.956m/s
Therefore, the average velocity of the whole journey from beginning of the drive to the arrival at the filling station will be approximately 8 m/s
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what is true about solar energy hitting earth?
A. Differences by latitude drive atmospheric circulation
B. It is roughly the same at all latitudes.
C. It is most focused at the poles.
D. It is not focused at the equator.
Answers
If a battery stores 1000 C of charge, how many seconds will it power a lamp for if the current through the lamp is 5.0 A?
Answers
Answer:
200seconds
Explanation:
Q=IT
1000c=5T
T=1000/5
T=200secs
I hope this will help
kindly follow ne
2 A sensor uses 5*10-3A of current when it is operated by a 5.0-V battery. What is the resistance of the sensor circuit?
Answers
[tex]10^{3}Ω[/tex] or 1000 Ohms
Explanation:-
The relationship between current, voltage and resistance is given by Ohms Law.
[tex]V=IR[/tex]
where
V = Voltage
I = Current
R = Resistance
Now in our case, we are told that,
V = 5.0 V
I = 5×[tex]10^{ - 3}[/tex]amperes
Therefore, the above equation gives
[tex]5.0 = (5 \times {10}^{ - 3})R[/tex]
Dividing both sides by 5×[tex]10^{ - 3}[/tex] gives,
R = 5.0 ÷ 5×[tex]10^{ - 3}[/tex]
=> R = [tex]10^{3}Ω[/tex]
Hence, the resistance of the sensor circuit is [tex]10^{3}Ω[/tex] or 1000 Ohms
~ Benjemin360
How much work is done when a force of 800.0N is exerted while pushing a crate across a level floor for a distance of 1.5km?
Answers
Answer:
1200000 J or 12x10^5 J
Explanation:
Work = force * distance, so using that:
Note: Distance has to be in meters
W = 800 * 1.5x10^3
W = 1200000 J
The work done while pushing a crate across a level floor for a distance of 1.5km would be 1200 Kilojoules.
What is work done?
The total amount of energy transferred when a force is applied to move an object through some distance
Work Done = Force * Displacement
As given in the problem we have to calculate how much work is done when a force of 800.0 Newtons is exerted while pushing a crate across a level floor for a distance of 1.5 kilometers,
1 kilometers = 1000 meters
1.5 kilometers = 1500 meters
Work done on pushing a crate = force ×displacement
=800.0 ×1500
=1200000
=1200 Kilojoules
Thus, the work done would be 1200 Kilojoules.
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Which options correctly describe the velocity of the object represented in the graph?
(Select all that apply)
constant
negative
increasing
decreasing
Answers
A piece of rubber 10cm stretches 6mm when a load of 100N is hung from it.what is the strain
Answers
Answer:
Question:
A piece of rubber 10cm long stretches from 6mm when a load of 100N is hung from it. What is the strain?
Important Note (for solving your any problems):
In Physics to help for better understanding, it is important to write out
your given first.Given:
1. Original length = 10cm 2. Extension e= 6mm
3. The extension is meant to be in cm and to convert mm to cm, divide the number by 10.
Answer:
Strain = 0.6
Explanation:
Solution:
Remember that,
[10 mm = 1 cm]
6 mm = (6 × 1) ÷ 10
-
= 0.6 cm
Load (force) = 100N
Recall that,
Strain = (extension) Original length
Strain = 0.6 cm ÷ 10 cm
Strain = 0.06
If you convert to standard form,
0.06 = 6 x 10^-2
There is no unit because strain is a ratio of two lengths and they both have the same unit which cancels out during division.HOPE IT HELPS YOU #ITZADMIRERQ1:Which sound wave will have its crests farther apart from each other - a
wave with frequency 100 Hz or a wave with frequency 500 Hz?
Answers
Answer /The wave with frequency 100 will have its crests farther apart as its wavelength Will be more or elevated.
Explanation:
For sound waves, the velocity ‘v’ is equal to the product of wavelength (λ) and frequency (f) i.e. (v = n × λ or v/n = λ). Therefore, frequency is indirectly proportional to the wavelength.
The sound wave with frequency 100 will have its crests farther apart from each other as frequency is indirectly proportional to the wavelength. The speed of a wave is uninfluenced by variation in the frequency. Therefore, the less frequency wave will have more wavelength.
Lifting a rope A mountain climber is about to haul up a 50-m length of hanging rope. How much work will it take if the rope weighs 0.624 N>m
Answers
Answer:
780 J
Explanation:
W=\int _{\:0}^{50}0.624xdx
When you talk on the telephone, the sound waves of your voice are converted to an electrical signal by a(n):
а: conductor
b: insulator
с: transducer
d: receiver
Answers
plz help me if it's okay :) and thank you
Answers
Explanation:
I am not sure that this answer will be correct
in regions where the suns rays hit most directly, solar energy is more ______ and climate is _____.
Answers
Answer:
Focused,Warm
Explanation:
The more focused the rays are, the more energy an area receives, and the warmer it is.
4 US regions where major aquifers can be found
Answers
Nebraska, South Dakota, North Dakota, and Montana.
Two major muscles must work together in an agonist and antagonist form to be able to move an arm.
Answers
Answer:
Two major muscles must work together in an agonist and antagonist form to be able to move an arm.
Explanation:
The weight of an astronaut plus his space suit on the Moon is only 310 N. How much (in N) do they weigh on Earth
Answers
Explanation:
Gravity on the Moon is 1/6 th of Earths gravity
weight on earth=310 N ×6
=1860 N
310x9.8=3,038N
Electric potential difference is the change in kinetic energy per unit charge in an electric field.
Question 13 options:
True
False
Answers
Hi there!
False.
Electric potential difference is the change in ELECTRIC POTENTIAL ENERGY per unit charge.
[tex]\large\boxed{\Delta V = \frac{\Delta U}{q}}[/tex]
What workout should be performed last
Answers
So, if strength is your goal: Warm up, do your strength workout, then finish with longer cardio bouts if you want to bake cardio into the equation. However, if you're training for a race or looking to build cardio endurance, start with cardio-just be careful when you get to the weights.
Explanation:
i think a cardio workout
I need help answering this, I keep running into dead ends.
You are target shooting using a toy gun that fires a small ball at a speed of 15 m/s. When the gun is fired at an angle of 35 ∘ above horizontal, the ball hits the bull's-eye of a target at the same height as the gun. Then the target distance is halved.
At what angle must you aim the gun to hit the bull's-eye in its new position? (Mathematically there are two solutions to this problem; the physically reasonable answer is the smaller of the two.)
Answers
Answer:
Use of the "range" formula will greatly simplify this -
R = V^2 sin 2 θ / g
R = 15^2 sin 70 / 9.8 = 21.6 m distance originally traveled
r = 21.6 /2 = 10.8 if distance is halved
sin 2 θ = 10.8 * 9.8 / 225 = 28.1 deg
θ = 14 deg
An 1825 kg car is moving to the right at a constant speed of 1.24 m/s. What is the net force on the car?
ard?
Answers
Answer:
net force is 0
Explanation:
as acceleration is zero, net force equals to zero
Statement:
An 1825 kg car is moving to the right at a constant speed of 1.24 m/s.
To find out:
The net force on the car.
Solution:
Here, it is given in the statement that the car is moving with constant speed.We know, acceleration is the change in speed within a time period.Since, here the speed is constant, so there is no change of speed.Therefore, there is no acceleration.We know, force = mass × accelerationTherefore, net force on the car= 1825 × 0 = 0Answer:
The net force on the car is 0.
Hope you could understand.
If you have any query, feel free to ask.
A car travels 300 km in 6 hours. What is the average speed of the car?
50 km/hr
306 km/hr
1,800 km/hr
.02 km/hr
Answers
Answer:
50 km/hr
Explanation:
speed = distance ÷ time
speed = 300 ÷ 6 = 50km/hr
