The magnitude of the acceleration of the descending block is equal to 1.96 m/s².
What is the tension in the string?Tension can be described as a force acting along the length of a rope or a cable, especially a force that comprises by a flexible medium. Tension can be described as an action-reaction pair of forces acting at each end of the length of the medium. Each endpoint carried tension and force from the weight attached.
Given that the block with mass, M₁ = 4m is placed on the horizontal table.
The block with mass, M₂ = m is attached by a string.
The block (M₂) suspended by the string experiences tension (T) in the upward direction and weight in the downward direction.
M₂g - T = M₂a ..............(1)
The block (M₁) placed on the table experienced only one force which is tension (T)
T = M₁ a .....................(2)
From equation (1) and (2):
M₂g - M₁a = M₂a
M₁a + M₂a = M₂g
(M₁ + M₂) a = M₂g
a = M₂g/(M₁ + M₂)
Substitute the value of masses of the blocks:
a = m g /( 4m + m)
a = g/5
a = 1.96 m/s²
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1. On a pirate map, X marks the spot. Does that X represent the position or
displacement of the treasure? *
Can anyone tell the answer
Composition varies in the asteroid belt. Inner-belt asteroids tend to be rich in ____. Outer-belt asteroids tend to be rich in ____.
Inner-belt asteroids tend to be rich in SILICATE, whereas outer-belt asteroids tend to be rich in CARBON. An asteroid is a rocky object (much smaller than a planet), which orbits around the Sun.
The asteroids are composed of different elements (e.g., carbon, nitrogen, hydrogen, oxygen, silicate, etc).
The asteroid belt is a region in the Solar System, located between the orbits of Mars and Jupiter.
The size of the asteroids localized in the asteroid belt range from a few meters to almost 1000 kilometers (km) wide.
Approximately half mass of the asteroid belt is composed of only four asteroids (i.e., Ceres, Vesta, Pallas, and Hygiea).
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A vinyl "record" with a diameter of 0.3 m is spinning at a rate of 1 m/s.
a) What would the centripetal acceleration be for a piece of gum (0.005kg) stuck to the outside edge of the record?
b) How much centripetal force will the gum have to overcome to remain "stuck" to the vinyl?
This question involves the concepts of centripetal force and centripetal acceleration.
a) The centripetal acceleration for the piece of gum stuck to the outside edge of the record will be "6.67 m/s²".
b) The gum will have to overcome "0.033 N" centripetal force to remain stuck to the vinyl.
a)
The centripetal acceleration of the gum can be found using the following formula:
[tex]a_c=\frac{v^2}{r}[/tex]
where,
[tex]a_c[/tex] = centripetal acceleration = ?
v = linear speed of record = 1 m/s
r = radius of the record = [tex]\frac{diameter}{2}=\frac{0.3\ m}{2}=0.15\ m[/tex]
Therefore,
[tex]a_c=\frac{(1\ m/s)^2}{0.15\ m}\\\\a_c = 6.67\ m/s^2[/tex]
b)
Now, the centripetal force can be given as follows:
[tex]F_c=ma_c\\F_c=(0.005\ kg)(6.67\ m/s^2)\\F_c=0.033\ N[/tex]
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The attached picture shows the centripetal force.
A body moving with constant acceleration covers the distance between tu point 60m apart in 5s. Its velocity as it passes the second point is 15m/s. What is the acceleration?
Please find attached photographs for your answer.
Hope it helps.
Do comment if you have any query.
if the amplitude of a sound wave is tripled, the intensity will:
Answer:
Increase 9 times
Explanation:
Which explains why scientists often prefer to measure mass rather than weight?
It is always the same.
It is affected by gravity.
Answer:
scientists often prefer to measure mass rather than weight because weight is affected by gravity while mass is not. Mass is always the same.
Explanation:
Weight is a force rather than a measure of the amount of matter something contains. The same amount of matter can have different weights depending on where it is. Mass directly measures the amount of matter present and remains the same no matter where it's measured.
Does the volume of a gas affect the rate of diffusion in a porous material
Answer:
No
Explanation:
The rate of diffusion defines the gas that passes through some area over the course of time.
What force would be required to accelerate a 1,100 kg car to 0. 5 m/s2? N.
Answer:
550 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × acceleration
From the question
mass = 1100 kg
acceleration = 0.5 m/s²
We have
force = 1100 × 0.5 = 550
We have the final answer as
550 NHope this helps you
Answer:
If your filling in the blank on edge then its 550
Explanation:
Part B
Based on the information in the article, how could plants be used in the future to help counteract some human
emissions?
Answer:
Having more plants performing photosynthesis could help reduce the amount of carbon dioxide in the atmosphere.
Explanation:
sample answer
The plants can be used in the future to help counteract some human
emissions they absorb carbon dioxide from the air and release oxygen.
What is photosynthesis?It is a process carried out by photosynthetic autotrophic organisms, such as plants, algae and some prokaryotes. These organisms capture sunlight, convert it into chemical energy, which will be used to produce organic compounds, based on water and carbon dioxide.
Trees, like other plants, in the process called photosynthesis, absorb carbon dioxide from the air and release oxygen. They also make the air wetter and cooler. In this way, plants contribute to the good quality of the air we breathe.
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An electric heater is rated 300W 110V. The safety fuse in the circuit can withstand 15 A of current. How many heaters can be safely operated in the circuit
The number of heaters that can safely be operated in the circuit is 5 heaters.
From the question given above, the following data were obtained:
Power of heater = 300 W
Voltage (V) = 110 V
Current (I) = 15 A
Number of heaters = ?Next, we shall determine the power that can be drawn from the circuit. This can be obtained as follow:Voltage (V) = 110 V
Current (I) = 15 A
Power (P)= ?P = IV
P = 15 × 110
P = 1650 WThus, the power that can be drawn from the circuit is 1650 W
Finally, we shall determine the number of heaters that can be operated in the circuit. This can be obtained as follow:Power of heater = 300 W
Power of Circuit = 1650 W
Number of heaters = ?[tex]Number \: of \: heaters \: = \frac{power \: of \: circuit}{power \: of \: heater} \\ \\ = \frac{1650}{300} \\ \\ = 5.5[/tex]
From the calculation made above, the number of heaters that can be operated safely in the circuit is 5 heaters.
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1 Which requires more work, lifting a 10kg sack of
coal or lifting a 15kg bag of feathers?
A SMART car can accelerate from rest to a speed of 28 m/s in 20s. What distance does it travel in this time?
How long will it take to travel 150km at an average speed of 40 km/h
Answer:
6,000 minutes
Explanation:
To calculate distance u multiply speed and time or speed and rate
Part IV Objects on an incline w/ Tension + Friction
1. A small 63 kg sleigh is pulled by a rein attached to horse up a 15'angle hill to the
horizontal. The tension of the rein is 510 N. The coefficient of kinetic friction is
0.25
a. What is the normal force that the sleigh exerts on the hill?
b. What are the magnitude and direction of the sleigh's acceleration?
(a) The normal force on the sleigh is 596.36 N.
(b) The magnitude and direction of acceleration of the sleigh is 3.2 m/s² upwards.
The given parameters;
mass of the sleigh, m = 63 kginclination of the hill, θ = 15⁰tension on the rein, F = 510 Ncoefficient of friction, μ = 0.25The normal force on the sleigh is calculated as follows;
[tex]F_n = mg \times cos(\theta)\\\\F_n = 63 \times 9.8 \times cos(15)\\\\F_n = 596.36 \ N[/tex]
The magnitude and direction of acceleration of the sleigh is calculated as follows;
[tex]\Sigma F= ma\\\\F - mgsin(\theta) - F_f = ma\\\\F - mgsin(\theta) - \mu F_n = ma\\\\510\ - \ 63 \times 9.8 \times sin15 \ -\ 0.25\times 596.36 = 63a\\\\201 .11 = 63a\\\\a = \frac{201.11}{63} \\\\a = 3.2 \ m/s^2 \ upwards[/tex]
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An object weights 1000N on the earth’s surface. [ g=10N/Kg]
Calculate its mass
Answer: An object weights 1000N on the earth's surface. ... Calculate its mass ... strength is 10 N/kg how many newtons does a 30kg object weigh.
Explanation:
Please help me don’t send me a link cause I can’t download it
Answer:
C. 0.2 m/s west
Explanation:
Dont ever open the links that bots send you, it is a virus..Trust me, i speak from experience.......
Plzzzz help meeeeeeee
Answer:
15m²
8.6m²
lcm²
6000cm²
0.1km²
40cm²
5210 mm²
500m²
0.0087mm²
500cm²
Hi can u help with my hw
Answer:
Journey A average speed is 19.86 meters per second
Journey B average speed is 13.68 meters per second
Explanation:
The average speed is defined as the distance divided by the time, so that's what we have to do. But first, let's convert the time in seconds and the distance in meters, because we have to answer in meters per second:
Journey A:
2 hours = 120 minutes. Each minute have 60 seconds, so 120•60= 7200 seconds.
143 km = 143000 meters
143000/7200 = 19.86 m/s
Journey B:
3 hours = 180 minutes + 15 minutes = 195 minutes
195•60 = 11700 seconds
160 km = 160000 meters
160000/11700 = 13.68 m/s
What substance is a polymer found in nature?
Silk,wool, DNA, cellulose and protein
How are fission and fusion similar?
A. A small fraction of the reactant mass is converted into small amounts of energy.
B. A large fraction of the reactant mass is converted into small amounts of energy.
C. A large fraction of the reactant mass is converted into large amounts of energy.
D. A small fraction of the reactant mass is converted to large amounts of energy.
Answer:
C
Explanation:
Fusion and fission are similar in that they both release large amounts of energy. Nuclear fusion is a process in which two nuclei join to form a larger nucleus. Nuclear fission is a process in which a nucleus splits into two smaller nuclei.
Rory uses a force of 25 N to lift her grocery bag while doing 50 J of work. How far did she lift the
grocery bag?
Answer:
[tex]W=Fd \\ 50 = 25d \\ d = \frac{50}{25} \\ \color{yellow} \boxed{d = 2m}[/tex]
4. A force of 50 Newtons is applied to a mass resulting in an acceleration of 8 m/s2. What force would need to be applied to this mass to cause an acceleration of 25 m/s??
Answer:
125N
Explanation:
force =mass×acceleration
50 =mass×8m/s2
mass=6.25kg
A 22 kg body is moving through space in the positive direction of an x axis with a speed of 190 m/s when, due to an internal explosion, it breaks into three parts. One part, with a mass of 13 kg, moves away from the point of explosion with a speed of 130 m/s in the positive y direction. A second part, with a mass of 2.2 kg, moves in the negative x direction with a speed of 460 m/s. What are the (a) x-component and (b) y-component of the velocity of the third part
Answer: Our notation is as follows : the mass of the original body is M=20.0kg ; its initial velocity is
ν
0
=(200m/s)
i
^
; the mass of one fragment is m
1
=10.0kg ; its velocity is
ν
1
=(100m/s)
j
^
; the mass of the second fragment is m
2
=4.0kg ; its velocity is
ν
2
=(−500m/s)
i
^
; and , the mass of the third fragment is m
3
=6.00kg . Conservation of linear momentum requires
M
ν
0
=m
1
ν
1
m
2
ν
2
+m
3
ν
3
.
The energy released in the explosion is equal to ΔK , the change in kinetic energy .
(a) Using the above momentum -conservation equation leads to
ν
3
=
m
3
M
ν
0
−m
1
ν
1
−m
2
ν
2
=
6.00kg
(20.0kg)(200m/s)
i
^
−(10.0kg)(100m/s)
j
^
−(4.0kg)(−500m/s)
i
^
=(1.00×10
3
m/s)
i
^
−(0.167×10
3
m/s)
j
^
.
The magnitude of
ν
3
is
ν
3
=
(1000m/s)
2
+(−167m/s)
2
=1.01×10
3
m/s
It points at θ=tan
−1
(−167/1000)=−9.48
∘
(that is at 9.5
∘
measured clockwise from the +x axis) .
(b) The energy released is ΔK :
ΔK=K
f
−K
i
=(
2
1
m
1
ν
1
2
+
2
1
m
2
ν
2
2
+
2
1
m
3
ν
3
2
)−
2
1
Mν
0
2
=3.23×10
6
J
Explanation:
A piece of wood is floating in a tub of water. a second piece of wood rests on top of the first piece; it does not touch the water. if the second piece of wood is removed from on top of the first piece and placed in the water, what happens to the water level in the tub?
Answer:
The water would rise because of displacement in the water
Explanation:
List examples of how the Bill of Rights protects you:
.
.
.
.
.
guaranteeing freedom of speech, press, assembly, and exercise of religion
Four landing sites are proposed for a lander. Data about the sites are listed in the table. A 3 column table with 4 rows. The first column is labeled landing site with entries W, X, Y, Z. The second column is labeled height above surface in meters with entries 32, 16, 35, 12. The last column is labeled acceleration due to gravity in meters per second squared with entries 1. 6, 3. 7, 1. 6, 3. 7. At which landing site would the lander have the greatest amount of gravitational potential energy? W X Y Z.
Answer:
its B just finished
Explanation:
Answer:
The answer above is correct! The correct option is B.
Explanation:
Just took the review on edge :)
Hope this helped - brainliest would be appreciated!
Have a great day everyone :D
hello could some one please help me wit these
Answer:
1.D 2.A 3.A 4.B 5.C 6.A 7.A 8.A
Explanation:
Answer:
Question one is: kinetic energy
Question two is: tin
Question three is: zinc
Question four is: compression stroke
Question five is: second law of thermodynamics
Question six is: Convection
Question seven is: refrigerater
Explanation:
The next page called use vocabulary
the answers:
Question twenty three is: Heat engine
Question twenty four is: Thermodynamics
Question twenty five is: solar collector
Question twenty six is: specific heat capacity
Question twenty seven is: a conductor
Question twenty eight is: it's total energy increasing
Question thrity is: internal combustion engine
Question thrity one is: Exhaust stroke
Question thrity two is: plastic
Question thrity three: I don't know this one sorry!
Question thrity four is: Temperature
Question thrity five is: Heat
Hope his helps!!! <3
A ball is launched from a slingshot. As the ball travels along its trajectory, what force(s) are acting on it? Select all that apply.
Group of answer choices
Force of air and gravitational force are acting on the ball when launched from the slingshot.
When a ball is launched from a slingshot, during its travel force of air as well as gravitational force are acting on the ball because there is air which moves opposite to the motion of a ball whereas the force of gravity attracts the ball downward.
The force of air slows down the motion of the ball while on the other hand, the force of gravity brings the ball to the ground due to attraction. If these two forces are not present then the ball continues its motion forever so we can conclude that force of air and force of gravity are acting on the ball when launched from the slingshot.
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a person sits on a freely spinning lab stool that has no friction in its axle. when this person extends her arms,
Hi there!
[tex]\boxed{\text{Her angular velocity decreases.}}[/tex]
Recall the conservation of angular momentum:
[tex]L_i = L_f\\\\I_iw_i = I_fw_f[/tex]
When this person extends her arms, her moment of inertia increases.
According to the conservation of angular momentum, if the moment of inertia increases, the angular velocity must DECREASE.