Answer:
The value of mass 1, m1= 6/5m
The value of mass 2, m2= 3/5m
Explanation:
case 1:
here tension and the acceleration will be:
for m1;
mg-T=ma2mg - 2T = 2ma .....1.for m2:
2T-mg = ma/2 ..... 2.adding the both equations,
2mg - 2T + 2T-mg = 2ma + ma/2
a = 2/5 g
putting the value of a into the equation 1.
mg - T = m* (2/5)g
T = 3/5 ( mg )
now
case 2:
The two identical blocks are released from the rest, the tension remains the same as the case 1.
so,
for m1:
2T-m2g=0for m2:
2m2g - 2T =0adding both equations we get,
2T-m2g + 2m2g - 2T = 0
m2 = m1 / 2
T = m1*g / 2
here we know that
T (case1) = T (case2)
3/5 ( mg ) = m1*g / 2
m1 = 6/5 m
hence
m2 = 3/5 m
learn more about tension here:
https://brainly.com/question/23590078
#SPJ4
What is the magnetic field due to a very very long wire with current A at a perpendicular distance 0.30000000000000004 m away from the wire
The magnetic field due to a very long wire with current A is 6.67 x 10⁻⁷ A (Tesla).
What is magnetic field?
This is the region of space where the effect of magnetic force is felt.
The magnetic field due to a current carrying conductor is calculated as;
B = μI/2πd
where;
μ is permeability of free space = 4π x 10⁻⁷ Tm/AI is current in the conductord is the distance of field from the wireat a distance of 0.3 m
B = μI/2π(0.3)
B = 0.53μI
B = 0.53 x (4π x 10⁻⁷)I
B = 6.67 x 10⁻⁷ A (Tesla)
Learn more about magnetic field here: https://brainly.com/question/7802337
#SPJ1
If the slowest instruction in the SCA executes in 12.5 ns, then what is maximum system clock frequency in MHz
Since the slowest instruction in the SCA executes in 12.5 ns, the maximum system clock frequency is 80 MHz
To answer the question, we need to know what frequency is.
What is frequency?Frequency is the number of oscillations per second of a wave.
It is given by f = 1/T where T = period of wave
Now, given that the slowest instruction in the SCA executes in t = 12.5 ns, we need to calculate maximum system clock frequency, f.
What is the maximum system clock frequency?So, f = 1/t
= 1/12.5 ns
= 1/(12.5 × 10⁻⁹ s)
= 1/12.5 × 10⁹ Hz
= 0.08 × 10⁹ Hz
= 80 × 10⁻³ × 10⁹ Hz
= 80 × 10⁶ Hz
= 80 MHz
So, the maximum system clock frequency is 80 MHz
Learn more about maximum system clock frequency here:
https://brainly.com/question/14636488
#SPJ11
Voltage is another name for the
difference. what word completes the sentence?
A racing car has a mass of 1910 kg. The acceleration of gravity is 9. 8 m/s 2. What is its kinetic energy if it has a speed of 109 km/h? answer in units of j.
a bicycle rider pedals towards a hill at a speed of 7.5w/s. the combined mass of the bicycle and the rider is 75.0kg the cycle and rider roll up a hill without peddling . at what height will the cycle cone to rest (use g=10N/1g)
Answer:
2.8125 meters
Explanation:
I will assume 7.5 m/s
When the Kinetic Energy is entirely converted to Potential energy the max height will have been reached
KE = PE
1/2 m v^2 = mgh divide by m
1/2 v^2 = gh looking for h so divide both sides by
1/2 v^2 / g = h sub in the values using g = 10 m/s^2
1/2 ( 7.5 )^2 / 10 = 2.8125 m
In a game of pool, the cue ball moves at a speed of 2 m/s toward the eight ball. When the cue ball hits the eight ball, the cue ball bounces off with a speed of 0.8 m/s at an angle of 20°, as shown in the diagram below. Both balls have a mass of 0.6 kg.
PICTURE
a. What is the momentum of the system before the collision? (Write it in component form.) (0.5 points)
b. What is the momentum of the system after the collision? (0.5 points)
c. Write the velocity of the cue ball after the collision in component form. (1 point)
d. What is the x-component of the velocity of the eight ball after the collision? (1 point)
e. What is the y-component of the velocity of the eight ball after the collision? (1 point)
f. At what angle does the eight ball travel after the collision? (1 point)
g. What is the magnitude of the eight ball's velocity after the collision? (1 point)
a) p₀ = 1.2 kg m / s
b) p_f = 1.2 kg m / s
c) [tex]v_{2f}[/tex] = 1.278 m/s
d)1.2482 =[tex]v_{2f}[/tex] cos θ
e) 0.2736 =[tex]v_{2f}[/tex]sin θ
g) θ = 12.36
What is momentum?
Momentum is the product of the mass of a particle and its velocity. Momentum is a vector quantity; i.e., it has both magnitude and direction.
According to the question,
We define a system formed by the two balls, which are isolated and the forces during the collision are internal.
Hence , the momentum is conserved
a) The momentum of the system before the collision:
[tex]p_o = m v_1_0 + 0 p_o= 0.6 2 p_o = 1.2 kg m / s[/tex]
b) The momentum of the system after the collision, as the system is isolated, the momentum is conserved so
[tex]p_f = 1.2 kg m / s[/tex]
d. On X axis
[tex]p_ox[/tex] = 1.2 kg m / s
[tex]p_{fx}[/tex]= m v1f cos 20 + m v2f cos θ
[tex]p_o = p_f[/tex]
1.2 = 0.6 (-0.8) cos 20+ 0.6[tex]v_{2f}[/tex] cos θ
1.2482 =[tex]v_{2f}[/tex] cos θ
e. On Y axis
[tex]p_{oy} = 0[/tex]
[tex]p_{fy}[/tex]= m[tex]v_{1f}[/tex]sin 20 + m[tex]v_{2f}[/tex]cos θ
0 = 0.6 (-0.8) sin 20 + 0.6 [tex]v_{2f}[/tex] sin θ
0.2736 =[tex]v_{2f}[/tex]sin θ
Here,
g. we write our system of equations
0.2736 =[tex]v_{2f}[/tex] sin θ
1.2482 = [tex]v_{2f}[/tex] cos θ
0.219 = tan θ (divide)
θ = tan⁻¹ 0.21919
θ = 12.36
c. Now To find the velocity
0.2736 = [tex]v_{2f}[/tex] sin θ
[tex]v_{2f}[/tex]= 0.2736 / sin 12.36
[tex]v_{2f}[/tex] = 1.278 m / s
Learn more about momentum here:
https://brainly.com/question/4956182
#SPJ1
Where does the halo of a galaxy expand from?
a. the local group out to the dark matter
b. the bulge out to the edge of the disk
c. the irregular cluster out to the regular cluster
d. the edge of the disk out to the bulge
The halo of galaxy expand from the bulge out to the edge of the disk. The correct option is b.
What is universe?Universe is the whole cosmic system of matter and energy. The Earth, the Sun, the Moon, the planets, the stars along with the ,dust , gases, rocks forms the universe.
It went on expanding and stretched to grow as large as possible. It is still now expanding.
The universe consist of fully dark matter, interstellar gases or dust. The This universe began with a big bang , also known as the massive explosion. This universe is still on it way of expanding more.
The formation of stellar halos occurs naturally in a cold dark matter. Universe has halos which occurs from the bottom-up or the large structure of galaxies is formed starting with small objects.
Thus, the correct option is b.
Learn more about universe.
https://brainly.com/question/9724831
#SPJ1
which will have longer shadow: ben whose height is 5 feet tall and 2 inches or his brother mike who is 6 feet and 2 inches when they both stand under the sun around 10am? i need help asap and anyone get my answer now i will give branliest
Answer: I believe his brother, Mike, who is 6'2, will have the longer shadow.
Question 8 of 10
Calculate the electric potential energy in a capacitor that stores 1.0 x 10-10 C
of charge at 100.0 V. Use PE =
2
The electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.
What is a capacitor?
A capacitor is a device that can store electrical energy. It is a two-conductor configuration separated by an insulating medium that carries charges of equal size and opposite sign.
An electric insulator or vacuum, such as glass, paper, air, or a semiconductor termed a dielectric, can be used as the non-conductive zone.
The electric potential energy in a capacitor is found as;
[tex]\rm E = \frac{1}{2} QV[/tex]
[tex]\rm E = \frac{1}{2}\times 1.0 \times 10^{-10} \ C \times 100 \ V \\\\ E= 5 \times 10^{-9} \ J[/tex]
Hence the electric potential energy in a capacitor will be 5 × 10 ⁻⁹ J.
To learn more about the capacitor, refer to the link: https://brainly.com/question/14048432.
#SPJ1
An empty container has a mass of 62.000 grams. You fill it with 24.6 mL of a liquid. The final mass of the container is 81.34 grams. What is the density of the liquid to the correct number of significant figures?
density = mass / volume
mass = 81.34 - 62
= 19.34 g
volume = 24.6 ml
density = 0.786 g/ml
how does the law of the conservation of energy relate to the first law of thermodynamics?
The first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.
What is the first law of thermodynamics?The first law of thermodynamics is a popular law in physics that states change in internal energy is equal to the energy added and the work made by a closed system.
Moreover, the law of conservation of energy states that it cannot be created/destroyed in the Universe, which is deeply associated with principles of thermodynamics.
In conclusion, the first law of thermodynamics is similar to the conservation of energy because both state that this element (i.e., energy) is not created/destroyed in the universe.
Learn more about the first law of thermodynamics here:
https://brainly.com/question/1613201
#SPJ1
The law of the conservation of energy relates to the first law of thermodynamics by the fact that the former forms the basis for the latter.
What is the relationship between the law of conservation of energy and the 1st law of thermodynamics?It follows from the study of physics that the basis for the postulation of the First law of thermodynamics is on the basis of the law of conservation of energy, which states that energy can neither be created nor destroyed, but can be transferred between forms.
Read more on law of conservation of energy;
https://brainly.com/question/166559
#SPJ11
A mass of 2000 kg. is raised 2.0 m in 10 seconds. What is the kinetic energy of the mass at this height?
Answer:
200 j is kinetic energy of mass
can you please help me with this
Answer:
1.76 seconds/cycle
Explanation:
Frequency is 10 cycles / 17.6 seconds
PERIOD is 1/frequency = 17.6 seconds/10 cycles = 1.76 s/c
cycle is a vibration , so the unit may be 1.76 second / vibration
Question 10 of 25
Which of these is an advantage of hydroelectric energy?
OA. Is expensive to build or maintain
OB. Harms aquatic organisms
OC. Is a renewable energy source
OD. Is available in limited areas
SU
The main advantage of hydroelectric energy is the fact that it is a renewable energy source (Option C).
What is hydroelectric energy?Hydroelectric energy refers to the energy from water bodies that can be used to generate electricity.
Hydroelectric energy is stored as potential energy and then converted to kinetic motion energy to be converted into electricity.
Hydroelectric energy is renewable because it is indefinitely generated by water bodies in nature.
In conclusion, the main advantage of hydroelectric energy is the fact that it is a renewable energy source (Option C).
Learn more about hydroelectric energy here:
https://brainly.com/question/3077353
#SPJ1
A car accelerates from 0-26.8m/s in 2.2s. What is its average acceleration?
Answer:
Average acceleration = 12m/s^2
Explanation:
Acceleration is equal to the change in velocity over the change in time:
[tex]a=\frac{\Delta v}{\Delta t}[/tex]
Change in velocity is the final velocity minus the initial.
We are told the car goes from 0 to 26.8 m/s making 26.8 our final and 1 our initial. Therefore the change in velocity is 26.8-0 = 26.8m/s. ([tex]\Delta v[/tex])
And that this happens over 2.2s so this is our change in time: [tex]\Delta t[/tex]
Therefore our acceleration is: [tex]a = \frac{26.8}{2.2}[/tex]
Acceleration = 12.18 m/s^2
Rounded to 2 significant figures (2s.g. in 2.2s), the answer is 12m/s^2.
Hope this helped!
A particle of mass moves under a force given bywhere and are unit vectors in the and directions. The particle is placed at the origin with an initial velocity After how much time will the particle first return to the origin
The elapsed time when the particle returns to the origin is determined from the ratio of initial velocity and acceleration of the particle.
Time of motion of the particleThe time of motion of the particle is calculated by applying Newton's second law of motion.
F = ma
F = m(v)/t
where;
t is time of motion of the particlem is mass of the particlev is velocity of the particlea = v - u/t
v = u + at
when the particle returns to the origin, direction of u, = negative.
final velocity = 0
0 = -u + at
at = u
t = u/a
Learn more about force here: https://brainly.com/question/12970081
#SPJ11
im
Complete the sentence to describe what a wave is and what it does.
E§
A wave is a
that carries
from one place to another.
Hope this helps.
Good luck ✅.
Derive that efficiency is the ratio of output and input work.
Answer:
The efficiency of a simple machine is defined as the ratio of useful work done by a machine (output work) to the total work put into the machine (input work). For ideal or perfect machine, work output is equal to the work input.
Explanation:
Hope it Helps!!!
Cancer and diabetes are two common hereditary diseases.
It is a true statement that cancer and diabetes are two common hereditary diseases.
What are hereditary diseases?The term hereditary diseases are those diseases that occur in parents and could also be found in their offspring. For many of these hereditary diseases, the mechanism of inheritance is unclear.
However, it is a true statement that cancer and diabetes are two common hereditary diseases.
Missing parts:
Cancer and diabetes are two common hereditary diseases. A. True B. False.
Learn more about hereditary diseases:https://brainly.com/question/9367480?r
#SPJ1
What is the resultant of the two vectors shown?
Explanation:
The correct is (c). cuz, the tail of A and the tip of B will join
If you double the current through a resistor, by what factor does the power dissipated by the resistor change?.
If you double the current through a resistor, the power dissipated by the resistor change by factor of 4.
What is electric current?The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.
Power dissipated through a resistor is related to current as
P =I²R
When the current is doubled, the new power will be
P' = (2I)²R
P' = 4 I²R
P' = 4P
Thus, the power change by the factor of 4.
Learn more about electric current.
https://brainly.com/question/2264542
#SPJ1
6.Riding his bike, Mike can start from rest and get going at 10 m/s in 4 seconds. Joy can get
going 15 m/s in 5 seconds. Who has a greater acceleration? How do you know?
Answer:
Joy has a greater acceleration.
Explanation:
Mike
v = v₀ + at
10 = 0 + 4a
a = 2.5 m/s²
Joy
v = v₀ + at
15 = 0 + 5a
a = 3 m/s²
--
Using the UAM equations, we can determine that Joy's acceleration is 3 m/s² while Mike's acceleration is only 2.5 m/s².
When a substance changes from a liquid to a solid, what happens to the
motion of its particles?
OA. They move more slowly and become fixed in position.
O B. They move more quickly and begin to move past one another.
C. They move at the same speed and in the same direction.
D. They move at the same speed but in random directions?
When a substance changes from a liquid to a solid, they move more slowly and become fixed in position. Option A is correct.
When a substance changes from a liquid to a solid, its particles lose energy and move more slowly. As the temperature decreases, the particles lose kinetic energy and start to arrange themselves into a fixed, ordered pattern. This causes the substance to solidify and the particles become fixed in position.
The transition from a liquid to a solid state is called freezing or solidification. During this process, the particles lose energy and their motion becomes more restricted, causing them to move more slowly and eventually become fixed in position. Option A is correct.
To know more about liquid, here
brainly.com/question/20922015
#SPJ1
Which bronchus is about 5cm long and slightly narrower and more horizontal than the one on the opposite side
The bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.
What is a bronchus?A bronchus is a tubular structure that links the trachea with the lungs in the respiratory airways.
The main function of the bronchus is to transport oxygen during gas exchange, which is required in cellular respiration.
In conclusion, the bronchus of 5cm long, slightly narrower and more horizontal than the one on the opposite side is the left main bronchus.
Learn more about the bronchi here:
https://brainly.com/question/817962
#SPJ1
A compound microscope that has an eyepiece lens with a magnification of 10X and an objective lens with a magnification of 25X will have a total magnification of __________ times.
Answer:
35
Explanation:
total magnification = eyepiece lens x objective lens
TM = 10X x 25X
TM = 250X
The world record for pole vaulting is 6.15 m. If the pole vaulter’s gravitational potential is 4942 J, what is his mass?
From the calculations, the mass of the pole is 82 Kg.
What is potential energy?The term potential energy has to do with the energy that is possessed by a body by virtue of its position.
Given that;
height = 6.15 m
PE = 4942 J
mass = ??
g = 9.8 m/s^2
Now
PE = mgh
m = PE/gh
m = 4942 J/9.8 m/s^2 * 6.15 m
m = 82 Kg
Learn more about potential energy:https://brainly.com/question/24284560?
#SPJ1
I finished all my other questions but i don't know how to do this one. could someone help me? I added a lot of points because I know this is pretty complicated.
Explanation:
hope it will help you understand, if you have any questions just let me know.
as resistors are added in series
Answer:
decrease,inverse
Explanation:
........................
Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects
reach the same height what is the ratio of their velocities Va and Vb
A). 3:1
B). 2:1
C). 1:1
D). 2:1
If both objects reach the same height, the ratio of their velocities Va and Vb is 3:1. The correct option is A.
What is projectile?When an object is thrown at an angle from the horizontal direction, the object is said to be in projectile motion. The object which follows the projectile motion.
Objects A and B have been projected from the same point at angles 30° and 60° with the ground, respectively. If both objects reach the same height.
The maximum height of the objects A and B are same, so
H = Va² sin²30 / 2g = Vb² sin²60 / 2g
Va²/Vb² = sin²60/ sin²30
Va/Vb = 3:1
Thus, the correct option is A.
Learn more about projectile.
brainly.com/question/11422992
#SPJ1
if ~u = 2ˆı −ˆ and w~ =ˆı 2ˆ, find the component form of ~v = ~u w~ and sketch the specified vector operations geometrically.
The component form of the vector - u + w is determined as -2i + 3j.
Component vector V
The component vector V is calculated from the summation of vector U and vector W.
v = -u + w
Given;
u = 2i - jw = i + 2jv = -(2i - j) + i + 2j
v = -2i + j + 2j
v = -2i + 3j
A sketch of the vectory - axis
↑
↑
↑ 3j
↑
x - axis ← ← ← ← ←
2i
The complete question is below:
if u = 2i - j and w = i + 2j, find the component form of ~v = -u + w~ and sketch the specified vector operations geometrically.
Learn more about vectors here: https://brainly.com/question/25705666
#SPJ11
