Answer:
(i) The acceleration of the object down the plane is approximately 4.9 m/s²
(ii) The time it takes for the object to reach the bottom is approximately [tex]1.\overline{428571}[/tex] seconds
(iii) The time it takes the object to come to rest is approximately 1.030636 seconds
(iv) The object has travelled past the top of the plane by time it comes to rest
Explanation:
(i) The given parameter for the objects motion are;
The angle of inclination of the plane with the horizontal, θ = 30°
The length of the plane, s = 5 m
Let "a" represent the acceleration down an inclined plane, due to the acceleration under gravity "g" we have;
a = g × sin(θ)
Where;
g = The acceleration due to gravity ≈ 9.8 m/s²
∴ a ≈ 9.8 m/s² × sin(30°) = 9.8 m/s² × 0.5 = 4.9 m/s²
The acceleration of the object down the plane, a ≈ 4.9 m/s²
(ii) The time it takes for the object to reach the bottom, can be found from the following kinematic equation of motion;
s = u·t + 1/2·a·t²
Where;
s = The length of the inclined plane = 5 m
u = The initial velocity of the object = 0 m/s
t = The time of motion of the object (Here the time to reach the bottom of the plane)
a = The acceleration of the object = 4.9 m/s²
Therefore, we have;
5 = 0 × t + 1/2 × 4.9 × t² = 2.45·t²
t² = 5/2.45 = 100/49
t = √(100/49) = 10/7 = [tex]1.\overline{428571}[/tex]
The time to reach the bottom of the plane = t = [tex]1.\overline{428571}[/tex] seconds
(iii) When the object is thrown up the plane with an initial velocity of 15 m/s, the time, "t", it takes the object to come to rest is found by the following kinematic equation of motion;
v² = u² - 2·a·s
Therefore, we have;
v² = 15² - 2 × 4.9 × 5 = 176
v = √176 = 4·√11
The velocity of the object at the top of the plane = v = 4·√11 m/s
The time it takes the object to come to rest after reaching the top of the plane = The time it takes the object (projectile) to reach maximum height
[tex]t_m = \dfrac{v_i \cdot sin(\theta _i )}{g}[/tex]
Where;
[tex]t_m[/tex] = The time it takes the object to reach maximum height
[tex]v_i[/tex] = The initial velocity of the object at the top of the inclined plane = 4·√11 m/s
[tex]\theta _i[/tex] = The initial angle of inclination of the path of the object with the horizontal = 30°
Therefore, we have;
[tex]t_m = \dfrac{4 \times \sqrt{11} \times sin(30^{\circ} )}{9.8} = \dfrac{10 \cdot \sqrt{11} }{49} \approx 0.67686[/tex]
The time it takes the object to come to rest after reaching the top of the plane = The time it takes the object to reach maximum height = [tex]t_m[/tex] ≈ 0.67686 seconds
The time it takes the object to reach the top of the plane, [tex]t_{top}[/tex], is given from the kinematic equation of motion, v = u - a·t, as follows
v = u - a·t
∴ t = (u - v)/a
[tex]t_{top}[/tex] = (15 - 4·√11)/4.9 ≈ 0.353776
The time it takes the object to reach the top of the plane = [tex]t_{top}[/tex] ≈ 0.353776 s
The total time it takes the object to come to rest, ∑t = [tex]t_m[/tex] + [tex]t_{top}[/tex]
∴ ∑t ≈ 0.67686 + 0.353776 = 1.030636
The time it takes the object to come to rest = ∑t ≈ 1.030636 seconds
(iv) The distance up the plane the object reaches, "s", is given by the following kinematic equation;
s = u·t - 1/2·a·t²
Therefore, we have;
s = 15 × 15/4.9 - 1/2 × 4.9 × (15/4.9)² ≈ 22.959 m
However, the plane is 5 meters long, therefore, the object goes further than the top of the plane.
a person drops a 2.00 kg ball off a building. what is the force of weight on the ball?
Explanation:
Given
mass (m) = 2 kg
acceleration due to gravity (g) = 10 m/s²
Force (F) = ?
We know
F = m * a
= 2 * 10
= 20 N
The force is 20 N.
Hope it will help :)❤
Answer:
The answer is 19.6
You welcome
basic nature of friction
gravitational
electromagnetic
nuclear
none of these
Answer:
what is the question?????????????????????
how to draw angle of 135 degree
Why do electrons stay around the nucleus of an atom?
Answer:
the nucleus of the atom is positively charged and the electrons are negatively charged, they are attracted to each other...
Answer:
There are 2 different types of neutrons. Negative and positive. They are both fighting over the atom. The atom doesn't know who to pick! The happy one? Or the emo one? They are both staying close because they don't want to lose this fight. (Actual answer below)
Explanation:
When there are too many protons, some of the outer protons are loosely bound and more free to react with the electron. But most atoms do not have too many protons, so there is nothing for the electron to interact with. As a result, each electron in a stable atom remains in its spread-out wavefunction shape.
3. When water droplets are pushed through sand, gravel and carbon filters is the
water clean and ready to drink? Why or why not?
Answer:
i think yes, because the sand together with the filters catches all the impurities of the water that will pass through them. (btw sorry for my English, this is translated from my language in translator, so don't mind my English pls)
An airplane flies for 1.25 hours with a constant speed of 1080 km/hr and then for another 2.5 hours with a constant speed of 984 km/hr. How far (what distance) did it go?
Answer:
The airplane went 3810 km
Explanation:
The Distance at Constant Speed
The speed is defined as the rate of change of the distance:
[tex]\displaystyle v=\frac{d}{t}[/tex]
The distance is calculated by solving for d:
d = vt
The airplane first flies at v=1080 Km/h for t=1.25 hours. The first distance is:
d1 = 1080 Km/h * 1.25 h = 1350 Km
Then it flies at v=984 Km/h for t=2.5 hours. The second distance is:
d2 = 984 Km/h * 2.5 h = 2460 Km
The total distance was 1350 + 2460 = 3810 km.
The airplane went 3810 km
What is championship game of baseball called? The World Series The Super Bowl The World Cup
Answer:
The World Series
Explanation:
The Super Bowl is the championship American Football game, and the World Cup is the Soccer/Football game.
American Football and Football are different things. The first is what Americans call football, while the other is what Americans call soccer. It is confusing.
What is a group of two or more atoms that are held together by chemical bonds?
A.) formula
B.) molecule
C.) mixture
D.) element
Answer:
b
Explanation:
please help!! zoom in to read better should i put it in the middle or the far left? i also need to know why?
Answer:
They should place the fulcrum to the right ( just before reaching the load ), and they should push the furthest end on the left in order to provide equilibrium.
What causes seasons to occur?
A) The revolution of the moon around the earth
B) The rotation of the moon around the Earth
C) The Earths tilt on its axis.
D) The moons tilt on its axis.
Answer:
C
Explanation:
I believe that it's C
According to the Law of Reflection, the angle of incidence
the angle of reflection
A. equilis
B. is less than
C. is opposite from
D. is greater than
Answer:
A
Explanation:
this is because the law of reflection states that the angle of incidence equals to the angle of the reflection.
hope this helps, if not please report it
someone else can try it
How are electric potential difference and electric potential energy related?
Answer: NOT B) Electric potential energy is the charge divided by the electric potential difference.
Explanation:
just missed it on edg
Answer: Choice C
Explanation:
What is a good question to ponder/Think about ?
Explanation:
how to alweays win amoung us_
What was the first major action Roosevelt took AFTER he was inaugurated (sworn in as president)
He pardoned Hoover for war crimes against the Bonus Army
He proposed a reorganization of the Supreme Court
He closed all of the nation’s banks and ordered inspections
He established the Civil Works Administration to provide job relief
Answer:
the second one i guess????
Explanation:
Answer:
He closed all of the nation’s banks and ordered inspections
Explanation:
HELP! FOR A TEST!
The slope of a velocity versus time graph is the object's:
acceleration
displacement
position
velocity
Answer:
On a velocity vs time graph the slope of the line represents the acceleration of the object. With a slope of zero, the object is moving at a constant velocity in the positive (+) direction during this five minute interval. ... Displacement and distance can both be determine on a velocity vs.Answer:
Acceleration
Explanation:
plato
Which of these is an example of interference? A. two lasers pointing away from each other В. two different light waves colliding and adding together C. a light wave bending around the corner of an obstacle D. a light wave bouncing off of a flat surface
Answer:
I believe the answer is B. Although it might be C.
Explanation:
I hope this helps!
A wire of resistance 27 ohm is folded 3 times find its new resistance
Answer:
New resistance = 243 ohm
Explanation:
Given:
Current resistance = 27 ohm
Computation:
The wire is extended to three times its initial size, and its cross-section is therefore shortened to one-third of how it used to be. We found the current resistance to be 3x3= 9 times
So,
New resistance = 27 x 9
New resistance = 243 ohm
a car travelling initially at a speed of 30 m/s slows down at the rate of -2 m/s² for a distance of 60 meters. the car's velocity after covering this distance is __ m/s?
Answer:
answer
Explanation:
this is the answer with annotation and law
A 200 gram mass is placed on the meter stick 20 cm from the pivot point (the fulcrum). An unknown mass is positioned 8 cm from the fulcrum to balance the system. What is the mass of this unknown object?
Answer:
80 grams
Explanation:
multiplying 8 by 2.5 to get 20
so then deviding 200 by that 2.5 will get you 80 grams
This question involves the concepts of equlibrium and moment.
The mass of unknown object should be "500 g".
EQUILIBRIUMIn order to balance the meter stick equilibrium should be achieved. For equilibrium the moment due to each mass must be the same.
[tex]F_1d_1=F_2d_2\\m_1gd_1=m_2gd_2\\m_1d_1=m_2d_2[/tex]
where,
m₁ = mass of known object = 200 gm₂ = mass of unknown object = ?d₁ = distance from fulcrum of known object = 20 cmd₂ = distance from fulcrum of unknown object = 8 cmTherefore,
[tex](200\ g)(20\ cm)=(m_2)(8\ cm)\\\\m_2=\frac{(200\ g)(20\ cm)}{8\ cm}[/tex]
m₂ = 500 g
Learn more about moment here:
https://brainly.com/question/6278006
Positive and negative charger objects affect which type of field?
• gravitational
• electric
• magnetic
Answer:-
Electric forceThe interaction between two like-charged objects is repulsive. ... Positively charged objects and neutral objects attract each other; and negatively charged objects and neutral objects attract each other.
Explanation:
Hope it is helpful...
GIVING BRAINLIEST LOOK AT THE DIAGRAM AND AWNSER THE QUESTION
Which statement is best supported by the diagram?
Kinetic energy becomes potential energy between points R and S.
Maximum potential energy is at point P.
Maximum potential energy is at point R.
Potential energy becomes kinetic energy between points P and Q.
Answer: Maximum potential energy is at point R. (C)
Explanation: At point R, the ball lost all of its kinetic energy since it stopped moving upwards. It then gained potential energy due to gravity, and started moving downwards.
HELP PLEASE WHOEVER ANSWERS CORRECT ILL MARK BRAINLIEST!
Which statement best describes codominance and incomplete dominance?
A. In codominance and incomplete dominance, both of the alleles are dominant.
B. In codominance and incomplete dominance, neither of the alleles are dominant.
C. In codominance, both of the alleles are dominant; in incomplete dominance, neither of the alleles is dominant.
D.In codominance, neither of the alleles is dominant; in incomplete dominance, both of the alleles are dominant.
Answer:
no it is not C they are tying to get point the answer is, B: In codominance and incomplete dominance, neither of the alleles are dominant
Answer:
the answer is B
Explanation:
Explain why pulleys are in the lever family.
Answer:
The leverage or mechanical advantage of pulleys is less obvious, but you can "gang" multiple pulleys together into two sets (blocks) and run the ropes back and forth between the two sets to increase the number of lengths of rope running between them. One end of the rope is connected (fixed) to one of the blocks, and you get to pull on the other end after it is passed back and forth between the blocks of pulleys. This is sometimes called a block and tackle arrangement. With a hook on each side of the block set, you can move a heavy load much like levers do, by multiplying the force. You have to pull more rope just like you have to move a lever more on one side of the fulcrum as compared to the other. When you get all the rope pulled out that you can, you can not move the load anymore because you have become "two-blocked" which means the two blocks are together. Credits to: Moin Khan
Not allowed to use kinematics
Answer:
A. 131.9 s
B. 0.13 m/s
Explanation:
From the question given above, the following data were obtained:
Mass (m) = 490 Kg
Height (h) = 17 m
Power (P) = 0.83 hp
Time (t) =?
Velocity (v) =.?
Next, we shall convert 0.83 hp to Watts. This can be obtained as follow:
1 hp = 745.7 Watts
Therefore,
0.83 hp = 0.83 hp × 745.7 Watts / 1 hp
0.83 hp = 618.931 Watts
Thus, 0.83 hp is equivalent to 618.931 Watts.
A. Determination of the time.
Mass (m) = 490 Kg
Height (h) = 17 m
Power (P) = 618.931 Watts
Acceleration due to gravity (g) = 9.8 m/s²
Time (t) =?
Power = Energy / time
P = mgh / t
618.931 = 490 × 9.8 × 17 / t
618.931 = 81634 / t
Cross multiply
618.931 × t = 81634
Divide both side by 618.931
t = 81634 / 618.931
t = 131.9 s
Therefore, it will take 131.9 s to lift the beam.
B. Determination of the constant velocity.
We'll begin by calculating the force. This can be obtained as follow:
Mass (m) = 490 Kg
Acceleration due to gravity (g) = 9.8 m/s²
Force (F) =?
Force = mass × acceleration
Force = 490 × 9.8
Force = 4802 N
Finally, we shall determine the constant velocity as follow:
Force (F) = 4802 N
Power (P) = 618.931 Watts
Velocity (v) =?
P = F × v
618.931 = 4802 × v
Divide both side by 4802
v = 618.931 / 4802
v = 0.13 m/s
Thus, the constant speed at which the beam moves upward is 0.13 m/s
Sound waves are:
O Mechanical Waves
O Electromagnetic Waves
AND
Sound waves are, longitudinal waves or transverse waves
Answer:
Mechanical waves
Longitudinal waves
Explanation:
Sound waves are mechanical waves because they require a medium to transport their energy from one place to another.
Sound waves are longitudinal waves because the vibration of sound is transported parallel to the direction that the sound waves move.
Which change would reverse the direction of the electric current generated through electromagnetic induction?
moving the magnet slower
using more loops of wire in the solenoid
using the opposite pole of the magnet
using a weaker magnet
Using the opposite pole of the magnet would reverse the direction of the electric current generated through electromagnetic induction.
What takes place while the current is reversed in an electromagnet?Whilst you opposite the path of the contemporary flowing within the cord, the north and south poles also are reversed. When you reverse the contemporary once more, the north and south poles reverse again. In fact, on every occasion the modern is reversed, the north and south poles will trade places.
Which alternate will reverse the route of the electric modern-day generated thru electromagnetic induction?A magnet and a coil of wire can be used to provide an electric-powered modern-day. A voltage is produced while a magnet moves into a coil of cord. This procedure is known as electromagnetic induction. The direction of the caused voltage is reversed while the magnet is moved out of the coil once more.
Learn more about electromagnetic induction here https://brainly.com/question/26334813
#SPJ2
Answer:
100% C
Explanation:
Please help me!!
Please answer correctly...
Will give the brainliest!
HELP PLZ!!! what is the answer to number 8?
in a well water is filled up to the height of 6 meters.calculate the pressure given by the water at the bottom of the well
Answer:
The pressure given by the water at the bottom is 58,800 Pa
Explanation:
Pressure Exerted by a Column of Liquid
The pressure P exerted by a column of liquid of height h and density ρ is given by the hydrostatic pressure equation:
P = ρgh
Where ρ is the density of the liquid, g is the acceleration of gravity g=9.8m/s^2, and h is the height of the column of liquid.
The height of water in a well is h=6 m. The density of water is a known quantity:
[tex]\rho = 1,000\ kg/m^3[/tex]
Calculating P:
P = 1,000*9.8*6
P = 58,800 Pa
The pressure given by the water at the bottom is 58,800 Pa
1. What have modern observations shown sunspots to be?
Answer:
[tex].[/tex]
Explanation:
sunspots are areas that appear dark on the sun's surface.They appear dark because they are colder that parts of the sun's surface. However, the temperature of a sunspot is still very high. This can cause a sudden burst of energy space. If a solar flare is very intense, the radiation it releases can interfere with our radio communication here on earth