The two parents shown in (Figure 1) exert upward forces
of Fi = 18 N on the left end of the plank and F2 = 65 N
on the right end.
How much does the child weigh?
Answers
Answer:
W = 83 [N] (weight)
Explanation:
We must clarify that the system is in static equilibrium, in such a way that we must perform a sum of forces on the Y-axis equal to zero, in order to determine the downward force corresponding to the weight of the child.
∑Fy = 0
[tex]F_{1}+F_{2}-m*g=0\\18+65=m*g\\m*g = 83 [N][/tex]
And the mass can be determined as follows:
[tex]m*g=83\\m = 83/9.81\\m=8.46[kg][/tex]
The weight of the child is equal to 83 Newton.
Given the following data:
Upward force 1 = 18 NewtonUpward force 2 = 65 NewtonTo determine the weight of the child:
From the diagram, we can deduce that the system is in static equilibrium. Thus, we would resolve the horizontal component of the forces, in order to determine the downward force (weight of child).
Mathematically, the horizontal component of the forces is given by:
[tex]\sum F_y = 0\\\\F_1 +F_2 -mg=0[/tex]
Substituting the given parameters into the formula, we have;
[tex]18+65-mg=0\\\\83=mg[/tex]
Note: Weight = mg
Weight of child = 83 Newton.
Read more: https://brainly.com/question/366299
Related Questions
An electric ceiling fan is rotating about a fixed axis with an initial angular velocity magnitude of 0.220 rev/s . The magnitude of the angular acceleration is 0.920 rev/s2 . Both the the angular velocity and angular acceleration are directed counterclockwise. The electric ceiling fan blades form a circle of diameter 0.800 m .
1) Compute the fan's angular velocity magnitude after time 0.208 s has passed.
2)Through how many revolutions has the blade turned in the time interval 0.208 s from Question 1?
3)What is the tangential speed vt of a point on the tip of the blade at time t = 0.208 s ?
4)Calculate the magnitude at of the tangential acceleration of a point on the tip of the blade at time t = 0.208 s .
5)Calculate the magnitude ar of the radial (or centripetal) acceleration of the point at the end of the fan blade.
Answers
Answer:
1) The fan's angular velocity after 0.208 seconds is approximately 2.585 rad/s
2) The number of revolutions the blade has travelled in 0.208 s is approximately 0.066 revolutions
3) The tangential speed of a point on the tip of the blade at time t = 0.208 s is approximately 1.034 m/s
4) The magnitude of the tangential acceleration of a point on the tip of the blade at time t = 0.208 seconds is approximately 2.312 m/s²
Explanation:
The given parameters are;
The initial velocity of the fan, n = 0.220 rev/s
The magnitude of the angular acceleration = 0.920 rev/s²
The direction of the angular acceleration and the angular velocity = Clockwise
The diameter of the circle formed by the electric ceiling fan blades, D = 0.800 m
1) The initial angular velocity of the fan, ω₀ = 2·π × n = 2·π × 0.220 rev/s = 1.38230076758 rad/s
The angular acceleration of the fan, α = 2·π×0.920 rad/s² = 5.78053048261 rad/s²
The fan's angular velocity, 'ω', after a time t = 0.208 seconds has passed is given as follows;
ω = ω₀ + α·t
From which we have;
ω = 1.38230076758 rad/s + 5.78053048261 rad/s × 0.208 s = 2.58465110796 rad/s
The fan's angular velocity after 0.208 seconds is ω ≈ 2.585 rad/s
2) The number of revolutions the blade has travelled in the given time interval is given from the angle turned, 'θ', in the given time as follows;
θ = ω₀·t + 1/2·α·t²
θ = 1.38230076758 × 0.208 + 1/2 × 5.78053048261 × 0.208² = 0.41256299505 radians
2·π radians = 1 revolution
∴ 0.41256299505 radians = 0.41256299505 radian× 1 revolution/(2·π radian) = 0.06566144 revolution
The number of revolutions the blade has travelled in 0.208 s ≈ 0.066 revolutions
3) The tangential speed of a point on the tip of the blade at time t = 0.208 s is given as follows;
The tangential speed, [tex]v_t[/tex] = ω × r = ω × D/2
At t = 0.208 s, ω = 2.58465110796 rad/s, therefore, we have;
[tex]v_t[/tex] = ω × D/2 = 2.58465110796 × 0.800/2 = 1.0338604413
The tangential speed, [tex]v_t[/tex] = 1.0338604413 m/s
The tangential speed ≈ 1.034 m/s
4) The magnitude of the tangential acceleration of a point on the tip of the blade at time t = 0.208 seconds, 'a' is given as follows;
a = α × r = α × D/2
a = 5.78053048261 × 0.800/2 = 2.31221219304
The tangential acceleration, a ≈ 2.312 m/s²
4. A dump truck has a mass of 5.50 x 105 kg when loaded and 2.30 x 105 kg when
empty. Suppose two such trucks, one loaded and one empty, crash into each other
at a monster truck show. The trucks are supplied with special bumpers that make
a collision almost perfectly elastic. If the trucks hit each other at equal speeds of
5.00 m/s and the empty truck recoils to the right with a speed of 9.10 m/s, what is
the velocity of the full truck after the collision?
Answers
Answer:
V = 0.896 m/s
Explanation:
This is a typical problem of momentum conservation, whic states the following:
m₁V₁ + m₂V₂ = m₁V₃ + m₂V₄ (1)
In this case V₃ and V₄ would be the final velocity of the trucks after the collision.
With the given data let's see what we have:
m₁ = 5.5x10⁵ kg
m₂ = 2.3x10⁵ kg
V₁ = 5 m/s
V₂ = -5 m/s because it's going to the left (-x axis)
V₄ = 9.1 m/s to the right (Meaning is positive)
V₃ = ??
So to calculate V₃ we just need to replace the data into (1) and solve for V₃:
(5.5x10⁵ * 5) - (2.3x10⁵ * 5) = 5.5x10⁵V₃ + (2.3x10⁵ * 9.1)
2.75x10⁶ + 1.15x10⁶ = 5.5x10⁵V₃ + 2.093x10⁶
V₃ = 2.75x10⁶ - 1.15x10⁶ - 2.093x10⁶ / 5.5x10⁵
V₃ = -0.493x10⁶ / 5.5x10⁵
V₃ = -0.896 m/s
With this sign, it means that is going in the same sense of the other truck, but it's going to the left so this would be positive:
V₃ = 0.896 m/sHope this helps
which type of elecromagnetic wave can penetrate solid object easily
Answers
Answer:
Electromagnetic waves which has higher frequency will have a higher degree of penetration power. Frequency has an indirect relationship with the wavelength. Therefore, Electromagnetic waves which has larger wavelength values will have more penetration power.
Explanation:
hope this helped
A soccer player kicks a ball, changing its momentum by 11\, \dfrac {\text{kg}\cdot \text m}{\text s}11 s kg⋅m 11, start fraction, start text, k, g, end text, dot, start text, m, end text, divided by, start text, s, end text, end fraction. The net force on the ball is 910\,\text N910N910, start text, N, end text.
Answers
Answer:
0.012 seconds
Explanation:
The time at which the soccer player maintain contact with the ball is as follows:
Given that
Change in momentum = 11 kg.m.s^-1
The Net force applied = F = 910 N
Now the following formulas should be applied:
For acceleration:
[tex]a = \frac{\triangle v}{\triangle t} \\\\\triangle v = a \triangle t[/tex]
For momentum
[tex]\triangle p = m\triangle v\\\\\triangle p = ma\triangle t\\\\\triangle p = f\triangle t\\\\\triangle t = \frac{\triangle p}{F}[/tex]
Now
Put the values to the above formula
= 11 ÷ 910
= 0.012 seconds
How is mechanical advantage determined in a pulley system?
Answers
Answer:
To calculate the mechanical advantage of a pulley you simply have to count the number of rope sections that support whatever object you are lifting (not counting the rope that is attached to the effort). For example, in a one pulley system the MA is 1. ... The more compound the pulley is the easier the load is to lift.which planet has a moon called titan?
Answers
Answer:
Titan is the largest moon in Saturrn
Explanation:
And only Jupiter's moon Ganymede is larger by 2 percent
A toy car runs Off the edge of a table at 2.5 m high. It’s a carlins 1.2 m on the base of the table fine how long it took the car to reach the ground
Answers
A roller coaster of mass 800 kg starts from rest at the top of a hill with 1,500,000 J of potential energy. It ends up at ground level moving at 45 m/s. How much energy was lost to heat and friction?
Answers
Answer:
E_loss = 690000 [J]
Explanation:
The principle of conservation of Energy tells us that energy is converted from Kinetic to mechanical when the body moves from the highest point to the point where the velocity is maximum. That is, all potential energy is transformed into kinetic energy.
[tex]E_{pot}=E_{kin}[/tex]
Now we must determine the kinetic energy at the end, when the roller coaster is at the point where the reference point of power energy is zero.
[tex]E_{kin}=\frac{1}{2} *m*v^{2}[/tex]
where:
m = mass = 800 [kg]
v = 45 [m/s]
Now replacing:
[tex]E_{kin}=0.5*800*(45)^{2}\\E_{kin}=810000[J][/tex]
Now by means of the difference of the energy at the beginning minus the final energy, it determines the amount of energy that is lost by the effects of friction and heat.
[tex]E_{loss}=1500000-810000\\E_{loss}=690000[J][/tex]
The ultimate source of energy for weather is the ____.
moon
sun
wind
oceans
Answers
hope this helps !
athlete meseret defar runs at 10m
Answers
Newton’s first law of motion is often called the law of?
Answers
Answer:
Newton's first law is often called the law of inertia.
searched it up to verify
Also welcome to brainly
Problem solving strategy
Find the total momentum of the following system contains a
duck and three baby ducks moving to the right
If the mass of the duck is 0.5 kg moving with 2m/s and each of
the three ducks has a velocity of 1.5 m/s and a mass of 0.1 kg.
Answers
Answer:
The total momentum of the system is 1.45 kg*m/s.
Explanation:
The total momentum of the system is given by:
[tex] p_{T} = p_{d} + p_{b_{1}} + p_{b_{2}} + p_{b_{3}} [/tex]
[tex] p_{T} = m_{d}v_{d} + m_{b_{1}}v_{b_{1}} + m_{b_{2}}v_{b_{2}} + m_{b_{3}}v_{b_{3}} [/tex]
Where:
m: is the mass
v: is the velocity
d: is for duck
b₁: is for baby duck one
b₂: is for baby duck two
b₃: is for baby duck three
[tex] p_{T} = 0.5 kg*2 m/s + 0.1 kg*1.5 m/s +0.1 kg*1.5 m/s + 0.1 kg*1.5 m/s = 1.45 kg*m/s [/tex]
Therefore, the total momentum of the system is 1.45 kg*m/s.
I hope it helps you!
A. PE= Maximum, KE = Minimum
B. PE= Minimum, KE = Maximum
C. PE= Increasing, KE= Decreasing
D. PE=Decreasing, KE = Increasing
Answers
Answer:
Explanation:
im confused
Answer:. B
Explanation: how this helps sry if I'm wrong
What is the flow of energy from the falling water to the steam?
a) mechanical -> mechanical -> electrical -> thermal -> thermal
b) mechanical -> mechanical -> electrical -> light -> thermal
c) chemical -> mechanical -> electrical -> thermal -> thermal
d) mechanical -> chemical -> electrical -> thermal -> thermal
Answers
Answer:
The flow of energy from falling water to the steam is;
a) Mechanical → Mechanical → Electrical → Thermal → Thermal
Explanation:
1) Mechanical → Mechanical
The water in the pipe before it falls possesses potential energy which it converts into kinetic energy as it falls from height
2) Mechanical → Mechanical
The water falling from the pipe stream unto the turbine wheel transfers its kinetic (mechanical) energy due to its motion on to the turbine wheel to give the wheel rotational motion
3) Mechanical → Electrical
The kinetic (mechanical) energy from the rotating turbine wheel is converted into electrical energy in the electrical generator which transported through the electrical circuit
4) Electrical → Thermal
The electrical energy from the electric current is then converted into thermal energy as the current passes through the resistors in the heating filament
5) Thermal → Thermal
The heated filament transfers thermal energy to the the water in the beaker by conduction which raises the temperature of the water such that as the water acquires more thermal energy it turns into steam
Therefore, we have the flow of energy from the falling water to steam as follows;
1) Mechanical 2) Mechanical 3) Electrical 4) Thermal 5) Thermal
Give reason
A person slips over banana peels
Answers
Answer:
Well, a fresh off the fruit peel, although smooth by touch, has enough friction to prevent a major slip and fall. ... As the banana peel stays on the ground, it begins to rot and get slimy. If someone were to then step on that rotting, slimy banana peel, they would be in for a decent slip.
Explanation:
A vector is 14.4 m long and points in a 133 degree direction . Find the y - component of the vector .
Answers
Answer:
I put X and Y components so make sure you pay attention to which is correct for you.
Explanation:
X = -9.82
Y = 10.5
Q3) A person has to cover a distance of 6km in 45 minutes. If he covers one-half of the distance in two-thirds of the total time; to cover the remaining time, his speed (in km/hr) must be:
A) 6
B) 8
C) 12
D) 15
Explain how you got the answer
Answers
Answer:
The correct answer - c. 12.
Explanation:
Given:
Total distance: 6 km
Total time - 45 minutes
covered distance - one half of 6 km = 3 km
time used - 2/3*45 = 30 minutes
Solution:
Remaining distance - 6-3 = 3 km
Remaining time = 45 - 30 = 15 minutes or 1/4 hour
Required speed = remaining distance/ remaining time
= [tex]\frac{3}{1/4}[/tex]
= [tex]\frac{3*4}{1}[/tex]
= 12 km/hr
Please I need help on question 22 and 23 you don’t have to answer both tho
Answers
Answer:
22. is A and 23. is C
Explanation:
(GIVING BRAINLIST)
Why is it important to perform multiple trials of an experiment?
A. To check for mistakes or errors in your procedure
B. To increase the accuracy of your experiment
C. To investigate different test variables
D. To obtain different results for your experiment
Answers
Answer:
C
Explanation:
During an investigation you want to investigate different variables.
Answer:
During an investigation, you want to investigate one variable at a time
Explanation:
can i please have brainiest
10,000 W of power is used to move a spoon for 10 s. How much work is done on the spoon?
Answers
Answer:
The work done is 100,000 Joule
Explanation:
Work and Power
Work is the amount of energy transferred by a force.
If both the force F and displacement s are parallel, then we can use the formula:
W = F.s
Power is the amount of energy transferred or converted per unit of time. In the SI, the unit of power is the watt, equal to one joule per second.
The power can be calculated as:
[tex]\displaystyle P=\frac {W}{t}[/tex]
Where W is the work and t is the time.
We know the power needed to move a spoon is P=10,000 Watt and it took a time of t=10 s. The work done on the spoon is calculated by solving for W:
W = Pt
W = 10,000 Watt * 10 sec
W = 100,000 Joule
The work done is 100,000 Joule
The N car has a weight of 15,000, and its tires are inflated to a pressure of 190 kPa. How much space will the car's tires touch the road?
Answers
Answer:
0.079m²
Explanation:
Pressure = Force/Area
Given
Force = 15000N\Pressure = 190kPa = 190,000Pa
Substitute into the formula
Area = Force/Pressure
Area = 15000/190000
Area = 0.079m²
Hence the space covered by the tire will be 0.079m²
The vertical columns in the periodic table are called _____________.
Answers
Answer:
The elements are arranged in seven horizontal rows, called periods or series, and 18 vertical columns, called groups. Groups are labeled at the top of each column.
Explanation:
YOU GUYS!!!!! I NEED WITH THIS QUESTION PLS PLS!!!!!! YEAH HIS IS DUE IN 10 MINUTES PLS PLS!!!!!!
Answers
Answer: Truck 2, because it has a larger mass than truck 1 (and the same velocity)
Explanation:
We can write the kinetic energy of an object with mass M and velocity V as:
K = (M/2)*V^2
Let's calculate the kinetic energy for each truck:
Now, we can see that both trucks move at the same velocity, but truck 1 has a mass of 5000 pounds, while truck 2 has also a mass of 5000 pounds and an extra of 900 pounds.
Then the total mass of truck 2 is 5000 pounds + 900 pounds = 5900 pounds.
Then both trucks have the same velocity, and truck 2 has a larger mass than truck 1, this implies that truck 2 will have a larger kinetic energy than truck 1.
which planet has a feature called the great dark spot ?
Answers
Answer:
Neptune
Explanation:
Answer:
Neptune has that feature. Hope this helped!!! ^D^
Explanation:
if a charge has a lot of electric potential energy, what is it said to have?
Answers
Answer:
current?
Explanation:
Please someone help!!!
Answers
Walt ran 5 kilometers in 25 minutes, going eastward. What was his average velocity?
0.17 km/min east
0.2 km/min east
5 km/min east
25 km/min east
Answers
Answer:
0.2
Explanation:
The average velocity of Walt will be 0.2 km/min east.
We have a boy named Walt.
We have to find the average velocity of Walt.
What is Average velocity ?It is defined as the rate of change of displacement with time. Mathematically -
v = Δx / Δt
According to the question -
Total distance = d = 5 Km
Time = t = 25 minutes
Average velocity = d / t = 5/25 = 0.2 km/min
Therefore, the average velocity of Walt will be 0.2 km/min east.
To solve more questions on Kinematics, visit the link below-
brainly.com/question/21092131
#SPJ2
A soapbox derby is to be held on a frictionless hill with a 28 m vertical drop. The track is 300 m long. What is
the change in potential energy of a racecar from start to finish if it and the driver have a combined mass of 113
kg?
Round your answer to a whole number and include correct Sl unit abbreviation.
Answers
Answer: -31039 J
Explanation:
have discovered fossils of similar an
different continents. This indicated that continents were on to
7. What did geologists discover?
carth Processes an as earthquakes, onde
8. The continents are parts of enormous sheets of rock called
9. These plates are in constant
Answers
Answer:
7
Explanation:
plates
What are the 2 types of shadow
cast by the moon during a solar
eclipse?
Answers
Answer:
umbra, penumbra
Explanation:
