Answer:
22 books
Explanation:
Total number of books = 288books
Total number of schools = 6 + 7 = 13
If the books are distributed evenly, it means it was distributed in such a way that all the school has equal number of copies.
Each book will receive 288/13 copies
288/13 = 22.15
Hence the best estimate for the number of books each school received is 22 books
A 56 kg object is attached to a rope, which can be used to move the load vertically.
a. What is the tension force in the rope when the object moves upward at a constant velocity?
b. What is the tension force in the rope when the object accelerates downward at a constant
acceleration of 1.8 m/s2
c. What is the tension force in the rope when the object accelerates upward at a constant
acceleration of 1.8 m/s2
Answer:
a) T=549.36N Upwards
b) T=448.56N Upwards
c) T=650.16N Upwards
Explanation:
The very first thing we can do to solve this problem is to draw a free body diagram we can use to analyze the situation (see attached picture).
On the diagram we can see there are only two forces acting on the object: the tension of the rope and the weight of the object itself.
a)
Since the object is moving at a constant speed, this means that its acceleration will be zero. So we can do a sum of forces like this:
[tex]\sum F=0[/tex]
T-W=0
T=W
T=mg
[tex]T=(56kg)(9.81m/s^{2})[/tex]
T=549.36N upwards
b)
For part b, since the object is accelerating downwards, we wil say that it's acceleration is negative, so [tex]a=-1.8m/s^{2}[/tex]
so we can do a sum of forces again:
[tex]\sum F=ma[/tex]
so
T-W=ma
T=ma +W
T=ma+mg
T=m(a+g)
and now we substitute:
[tex]T=(56kg)(-1.8 m/s^{2}+9.81 m/s^{2})[/tex]
which yields:
T=448.56N upwards (in this particular case, the tension always goes upwards)
c)
Since the object is moving upwards, we can say that its acceleration will be positive, so [tex]a =1.8m/s^{2}[/tex]
we can take the solved equation we got on the previous part of the problem, so we get:
T=m(a+g)
[tex]T =(56kg)(1.8 m/s^{2}+9.81 m/s^{2})[/tex]
which yields:
T=650.16N upwards
The tension force in the rope when the object moves upward at a constant velocity is 548.8 N.
The tension force in the rope when the object accelerates downward at a constant acceleration is 448 N.
The tension force in the rope when the object accelerates upward at a constant acceleration is 649.6 N.
The given parameters:
Mass of the object, m = 56 kgThe tension force in the rope when the object moves upward at a constant velocity;
T = ma + mg
at constant velocity, a = 0
T = mg
T = 56(9.8)
T = 548.8 N
The tension force in the rope when the object accelerates downward at a constant acceleration of 1.8 m/s².
T = mg - ma
T = m(g - a)
T = 56(9.8 - 1.8)
T = 448 N
The tension force in the rope when the object accelerates upward at a constant acceleration of 1.8 m/s².
T = mg + ma
T = m(g + a)
T = 56(9.8 + 1.8)
T = 649.6 N
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Suppose that two objects attract each other with a gravitational force of 16 units. If the mass of both objects was doubled, and if the distance between the objects was doubled, then what would be the new force of attraction between the two objects?
Answer:
Distance, such that displacement over time is taken into account doesn't change regardless of the length in x meters or mass in kg So the force will remain constant given 16 unitsThe new force of attraction between the two objects will be remain the same.
What is the gravitational law?The gravitational law states that the gravitation force is the ratio of the product of the masses and the square of the distance between them.
Let the masses be m and M and the distance between them is r. Then the force is given as,
F = GmM / r²
Suppose that two objects attract each other with a gravitational force of 16 units.
F = 16
GmM / r² = 16 units
If the mass of both objects was doubled, and if the distance between the objects was doubled. Then we have
F' = G(2m)*(2M) / (2r)²
F' = 4GmM / 4r²
F' = GmM / r²
F' = 16 units
The new force of attraction between the two objects will be remain the same.
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The value of acceleration due to gravity is less at the top of Mount Everest then that in the terai reason, why?
Answer:
The value of acceleration due to gravity is greater in terai than in mountain. In terai region the radius of earth is less as it lies close to the centre of the earth. Thus, the value of g is more in terai region.
Which of the following best explains why the noble gases are less likely to chemically
bond with other elements?
A They are all non-metals. |
B They are all rare elements.
C They all have a full outer shell of electrons.
D They have the highest atomic number in the row.
Answer:
a
Explanation:
Carmen is helping load furniture and boxes onto a moving truck. She picks up boxes of her things, places them on a cart, and pushes the cart to the moving van. Which term best describes the type of force Carmen is using? * contact speed gravity noncontact
Answer:
contact
Explanation:
A contact force is defined as a force which requires some contact to occur. When we apply force that is in contact with the objects are called as contact forces.
In the context, Carmen is loading furniture and boxes on a moving van by picking up by picking up the boxes or furniture on a cart and pushing it onto the van. Carmen uses contact forces to lift the boxes and furniture onto the van.
An inclined plane is set at an angle of 29 degrees above horizontalWhat is the acceleration of a 420 g block of ice sliding down the inclined plane? Assume no friction
The net force parallel to the plane is
∑ F = m g sin(29°) = m a
where
m = mass of the block
g = magnitude of the acceleration due to gravity, 9.8 m/s²
a = mag. of acceleration of the block
where we take the direction of the block's sliding down the plane to be positive. Then
a = g sin(29°) ≈ 4.8 m/s²
terms involved in s=ut+1/2at^2
Explanation:
The terms involved in S = ut + 1/2at²
S = displacement
u = initial velocity
a = acceleration
t = time.
Hope it will help :)
Answer:
the distance traveled or displacement (s) of an object using its initial velocity (u), acceleration (a), and time (t) traveled.
How many newtons is the force of gravity g , acting on an apple with mass m = 200 g?
Answer:
Mass of the apple is 200g or 0.2 kg
Force acting on it will be,
Force= Mass× acceleration due to gravity
Force= 0.2×9.8 Newton= 1.96 Newton
Answer:
2 N
Explanation:
The question requires you to express the weight of the apple into Newton
1 kg = 10 N
200g = 200/1000 = 0.2 kg
1 kg = 10 N
0.2 kg = ?
0.2 * 10 = 2 N
Will anyone please help me solve this physics Problem?
Answer:
I. Clockwise moment = 150 Nm
II. Anticlockwise moment = 400 Nm
III. 200 N
III. The anticlockwise moment.
Explanation:
From the question given above, we can obtain the answers to the questions as follow:
I. Determination of the clockwise moment.
Distance (d) = 1.5 m
Force (F) = 100 N
Clockwise Moment =?
Moment = Force × distance.
Clockwise moment = 100 × 1.5
Clockwise moment = 150 Nm
II. Determination of the anticlockwise moment.
Distance (d) = 2 m
Force (F) = 200 N
Anticlockwise Moment =?
Moment = Force × distance.
Anticlockwise moment = 200 × 2
Anticlockwise moment = 400 Nm
III. Determination of who will turn the sea saw.
Clockwise moment = 150 Nm
Anticlockwise moment = 400 Nm
Since the anticlockwise moment is greater than the clockwise moment, it therefore means that the anticlockwise moment will turn the sea saw.
If a missile is launched from the equator toward an object in the Northern Hemisphere, should it be aimed to the left, to the right, or directly at its target? Why?
Answer:
Must be aimed to the left
Explanation:
Coriolis effect deflects wind or any moving item which has no contact with earth and has substantial distance to cover and moving at a substantial altitude. Coriolis effect deflectd the object to the right in the northern hemisphere. Therefore, missile must be aimed to the left, to nullify the coriollis effect.
- A 9,300 kg. railroad car traveling at a velocity of 15m/s strikes a second boxcar
at rest. If the two cars stick together and move off with a velocity of 6m/s, what is the mass
of the second car?
Answer:
13950kg
Explanation:
If we make the system both railroad cars, we know that the momentum of the whole system doesn't change because the forces are internal.
Let a be the mass of the second car.
The original momentum is 9300*15 kg*m/s+ a*0 kg*m/s = 139500 kg*m/s
After sticking together, the momentum is (9300+a)kg*6m/s, which should be equal to 139500 kg*m/s
Therefore (9300+a)*6 = 139500
9300+a = 23250
a = 13950 kg
Charlie graduated with a bachelor’s degree in construction management. As he aspires to work in his dad’s construction firm, which educational institute does Charlie need to enroll in for professional certifications in construction?
Charlie needs to enroll himself in the BLANK for various professional certifications, and a master’s degree in construction science from the best university.
Answer:
He needs to enroll himself in CMMA. This company help young students obtain a well future in Construction Science.
3. What is a manometer used to determine?
A the difference between two densities
B the difference between two forces
C the difference between two heights
D the difference between two pressures
Answer:
D the difference between two pressures
Explanation:
A manometer is a device used to measure the difference between the pressure in a place. Manometer is solely used to determine gas pressure.
The device compares gas pressure to atmospheric pressure at any given point. It measures pressure against a fixed reference or with respect to a differential pressure in a place. The column of liquid is the medium it uses to measure the pressure differences. Pressure is the force exerted per unit area.All sound waves need a(n) _______________________________________ to travel through. 4. _____________________ and ___________________ can be used to describe a sound wave.
Answer:
Material medium
compressions and rarefactions
Explanation:
A sound wave is an example of a mechanical wave. All mechanical waves require a material medium for propagation. The medium for the propagation of sound is air. This is the reason why, if you cover your mouth, it will be difficult for another person to hear whatever you are saying.
Sound is also a longitudinal wave. Longitudinal waves are described in terms of compressions and rarefactions. Compressions refer to areas where air molecules crowd together while rarefactions refer to areas where the air molecules spread out.
How much is the velocity of a body when it travels 600m in 5 minutes?( with the full process)
Force=mass x acceleration which of newtons laws does this best describe
Why doesn't the earth block out the light between the sun and the moon during a normal month
Answer:
Explanation:
Write a sentence on how these words are used in real life situations
1. Average Velocity
2. Instantaneous Velocity
3. Acceleration
Answer:
Explanation:
You can approach an expression for the instantaneous velocity at any point on the path by taking the limit as the time interval gets smaller and smaller. Such a limiting process is called a derivative and the instantaneous velocity can be defined as.#3
For the special case of straight line motion in the x direction, the average velocity takes the form: If the beginning and ending velocities for this motion are known, and the acceleration is constant, the average velocity can also be expressed as For this special case, these expressions give the same result. Example for non-constant acceleration#1
A rocket travels 200,000 meters in a time of 4.40 seconds . what of the speed of the rocket ?
Answer:
the speed of the rocket is 45454.5455
Explanation: Because the speed formula is basically just distance/ divided by time all you need to do is divide 200,000 meters by 4.40 seconds. And then thus you will get the speed.
Answer:
45454.55 m/s
Explanation:
[tex]S=\frac{d}{t}[/tex]
= [tex]\\S=\frac{200000}{4.40}[/tex]
=45454.55 m/s
Pls help I think it's pretty easy
Electromagnetic waves transfer energy and are produced by _____.
A person drops an egg onto a carpet, and the egg doesn't break. Then she drops the egg onto a tile floor and it breaks. Which floor most likely had a greater amount of force, and a shorter collision time?
Answer: The tile floor.
Explanation:
We can think of this as follows:
By the second Newton's law, we know that:
F = m*a
force is equal to mass times acceleration.
Now, as the egg hits the ground, we can think that there is a force that is applied in a very short period of time.
(similar to the case of a bat hitting a baseball)
Ok, the total energy of the impact will be the same for any surface in which the egg falls.
But suppose that the egg falls in a carpet, in this case, the carpet has a kinda large collision time (the time that the force is applied to the egg), this means that we will have a smaller force, acting for a long period of time. Now if the egg falls on something harder, like the tile floor, the collision time will be a lot shorter, then the force must be a lot stronger to compensate, this force is so large, that breaks the shell of the egg.
the tile floor is then the correct answer.
Medium is water. The wavelength is 4.75 m and the frequency is 600 Hz. Calculate the speed of the wave.
Answer:
126.32m/s
Explanation:
The formula for calculating the speed of wave is expressed as:
Speed of wave = frequency/wavelength
Given
Wavelength = 4.75m
Frequency = 600Hz
Required
Speed of the wave
Substitute the given value into the formula
Speed = 600/4.75
Speed = 126.32m/s
Hence the speed of the wave is 126.32m/s
A element source has a decayed constant of 13.6pico per second. Calculate the half life of this element.
Answer:
5.1 x 10¹⁰s
Explanation:
Given parameters:
Decay constant = 13.6 x 10⁻¹²/s
Unknown:
Half life of the element = ?
Solution:
From the decay constant, we can find the half-life of this radioactive element.
Half-life = [tex]\frac{0.693}{decay constant}[/tex]
Half-life = [tex]\frac{0.693}{13.6 x 10^{-12} }[/tex] = 5.1 x 10¹⁰s
a boy pulls his toy on a smooth horizontal surface with a rope inclined at 60° to the horizontal if the effective Force pulling the toy along the horizontal surface is 5-newton calculate the tension in the rope
Answer:
The tension in the rope is 10 N
Explanation:
The Force Vector
Like all vectors, the force has a magnitude and direction. Vectors can be decomposed into two perpendicular components on both axes.
The tension in the rope (F) can be calculated by using vector decomposition as follows.
The figure included below shows a force F which horizontal component is known to have a value of Fx= 5 Nw. The angle formed by the force and its horizontal component is 60°.
We can use the trigonometric ratio called the cosine to find the magnitude of F as follows:
[tex]\displaystyle \cos 60^\circ = \frac{5}{F}[/tex]
Solving for F:
[tex]\displaystyle F = \frac{5}{\cos 60^\circ}[/tex]
[tex]\displaystyle F = \frac{5}{\frac{1}{2}}[/tex]
Thus, F = 10 N
The tension in the rope is 10 N
Two positive charges 12×10^-6C and 8×10^-6 are 10cm apart. Find the workdone in bringing them 4cm together
Answer:
W = 5.76 J
Explanation:
Given that,
Charge 1, [tex]q_1=12\times 10^{-6}\ C[/tex]
Charge 2, [tex]q_2=8\times 10^{-6}\ C[/tex]
The distance between charges is 10 cm.
Initial distance = 10 cm = 0.1 m
Final distance = 10 cm - 4 cm = 6 cm = 0.06 m
We need to find the work done in bringing the 4 cm together.
We know that,
Work done = change in kinetic energy
[tex]W=kq_1q_2(\dfrac{1}{r_2}-\dfrac{1}{r_1})\\\\\text{Put all the values}\\\\W=9\times 10^9\times 12\times 10^{-6}\times 8\times 10^{-6}(\dfrac{1}{0.06}-\dfrac{1}{0.1})\\\\W=5.76\ J[/tex]
So, the required work done is 5.76 J.
If you pluck a guitar string hard the sound waves it gives off will have __________ amplitudes.
small
large
Answer:
large
Explanation:
the harder you pluck the louder it gets
If you pluck the guitar string hard, the sound waves it gives off will have larger amplitudes
What will be the amplitudes of the waves?
We know that, for soundwaves, the amplitude is related to the intensity of the sound.
If you pluck the guitar string hard, you will notice that the intensity of the sound increases. So we can conclude that the amplitude of the soundwaves will be larger than if you plucked the guitar string softer.
Then the complete statement would be:
"The sound waves it gives off will have larger amplitudes."
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A football player kicks a ball with a mass of .55 kg. The average acceleration of the football was 14.9 m/s2. How much force did the kicker supply to the football?
A. 35.24 N
B. 8.2 N
C. 35.24 m/s^2
D. 8.2 m/s^2
Answer:8.2N
Explanation:I did the quiz on k12 and that’s the answer i got :)
A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10m s -2 , with what velocity will it strike the ground? After what time will it strike the Ground?
Height,h= 20m
"gently dropped" means initial velocity, u, =0m/s
Uniform acceleration, g=10m/s²
using the formula v²=u²+2gs
Substituting, v²=0²+2*10*20
v²=400
v=
[tex] \sqrt{400} [/tex]
v=20m/s
Time, t at which is strike the ground
using the formula v=u+at
Substituting, 20=0+10t
20=10t
t=2s
This means that the bank strike the ground with a velocity of 20m/s in 2s.
If a 2000 N force is used to raise a piano at a rate of 10 m/s2, what is the mass of the piano?
Answer:
To solve this problem we will apply the principle of conservation of energy for which we have that the potential energy on a body, is equivalent to the work done on it at the given point. Therefore we will have the following equality
At the same time we know that work is equivalent to the Force applied over a given distance, so,
The potential energy is equivalent to the product between mass, gravity and height. Recall that the product of mass and gravity is equivalent to weight (The same given in the statement)
Equating,
Then,
Replacing,
Therefore the force needed to lift the piano is 600N
Explanation:
HOPE THIS HELPS!!!
3. Electrons are the only part of an atom that can be transferred between materials. True or
False?
Answer:
True
Explanation:
Electrons can be transferred between materials as in chemical reactions solid substances lose electrons while other elements gain electrons to balance the electrons in reaction.It occurs by conduction,polarization and friction.