The masses are pulled in only one dimension, so we can ignore the forces acting in the vertical direction. We take the positive direction to be to the right.
For the 20 kg mass, the net force is
∑ F₁ = 50 N - T
where T is the tension in string 2.
For the 40 kg mass, the net force is
∑ F₂ = T
For both masses combined, the net force is
∑ F = 50 N
Use Newton's second law to compute the acceleration of the system:
50 N = (20 kg + 40 kg) a
a = (50 N) / (60 kg) ≈ 0.83 m/s²
Then use the net force equation for the 40 kg mass to compute the tension:
T = (40 kg) a ≈ 33 N
a wire of radius 3mm and length 200m is melted into a sphere. Calculate the radius of the sphere in meters
To find the radius formed by melting the wire, you must start with this equation:
volume of wire = volume of sphere (since it is simply melted into a different shape, the volume would remain the same, equal)
πr²l = 4/3πr³
cancel π:
r²l = 4/3r³
3r²l = 4r³
r³ = (3r²l)/4
r³ = (3 × 3² × 200)/4
r³ = 1350
r = (cube root) of 1350
r = 11.052094....
r = 11.05 mm
divide by 1000 to get the answer in the unit meters:
r = 0.01105m
If a wave has a velocity of 100m/s and a wavelength of 10m, what is the frequency?
N January the company produced 3,470 units using 13,880 pounds of the direct material and 2,896 direct labor-hours. During the month, the company purchased 16,900 pounds of the direct material at a cost of $14,640. The actual direct labor cost was $103,840 and the actual variable overhead cost was $47,220. The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased. The labor rate variance for January is:
Answer:
the labor rate variance is $416 favorable
Explanation:
The computation of the labor rate variance is shown below:
But before that actual labor rate is
The Actual labor rate is
= Actual direct labor cost ÷ Actual labor hours
= $103,840 ÷ 2,896
= $35.856354
Now
labor rate variance is
= (Standard rate - Actual rate) × Actual Hours
= ($36 - $35.856354) × 2,896
= $416 Favorable
Hence, the labor rate variance is $416 favorable
D. Ampere
A screw of length 5 cm enters totally into a wooden block after 25 turns. What is the pitch of the
screw?
A. 0.1 cm
B. 0.2 cm
C. 0.4 cm
D. 0.5 cm
Answer:
0.5
Explanation:
u must simplyfiy
A supply plane drops a package to the ground for stranded campers below. After falling for 8.14 seconds, the package will have a downward velocity of 80.79 m/s. How high was the plane when it dropped the package?
Answer:
333 m
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 0 m/s.
Time (t) = 8.14 s.
Final velocity (v) = 80.79 m/s.
Acceleration due to gravity (g) = 9.8 m/s²
Height (h) =?
v² = u² + 2gh
80.79² = 0 + (2 × 9.8 × h)
6527.0241 = 0 + 19.6h
6527.0241 = 19.6h
Divide both side by 19.6
h = 6527.0241 / 19.6
h = 333 m
Thus, the plane was at a height of 333 m when the package was dropped.
I’ll give BRAINLIEST to the person that answer this questions (and if they right) :
People who are REACTIVE are like _____ , and PROACTIVE people are like ____.
A. A bottle of water and a bottle of soda
B.A bottle of soda and a bottle of water
C.None of the above
D.All of the above
PROACTIVE people make their choices based on ____.
A.Reasoning
B.Anger
C.Feelings
D.what others say
What is the opposite of being REACTIVE?
A.Being proactive
B.Being inactive
C.Being semi-active
D.All of above
Habit 1:Be proactive means:
A.thinking everyone can win
B.Take responsibility for your own life
C.Become a professional athlete
D.Doing something right away
1: C
2: C
3: A
4: B
there you go
Why doesn't the skateboarder roll as high each time she goes up the ramp
Answer:
The skater has mechanical/gravitational potential energy at the two meter mark. The skater gets to two meters high on the other end of the ramp. In terms of the conservation of energy, the skater will never go higher than two meter on the other end of the the ramp because energy can be neither created nor destroyed.
Explanation:
I hoping it is right!!!∪∧∪ ∪ω∪
Answer:
the reason it wont go higher is because some of the energy converts into thermal energy
Explanation:
I'm the energy master
Deaths due to lifestyle diseases have declined since the early 1900s.
T
F
Answer:
FalseExplanation:
Hope this helps! Please consider marking brainliest! Always remember, your smart and you got this! -Alycia :)
Particles in which state of matter are the most likely to interact with each other to cause a chemical reaction?
PLS I NEED HELP ASAAP
Answer:
Option A
Explanation:
The Equation represents the displacement of the object which is represented by x
[tex]x=t-t^2[/tex]
so, [tex]x_0[/tex] means when time is zero so we replace t with zero in the equation,
[tex]x_0=(0)-(0)^2\\x_0=0[/tex]
now for v which is velocity we need to differentiate the function as the formula for velocity is rate of change of displacement over time so we derivate the equation once and get,
[tex]v=1-2t\\[/tex]
now for [tex]v_0[/tex] we insert t = 0 and get
[tex]v_0=1-2(0)\\v_0=1[/tex]
now for a which is acceleration the formula of acceleration is rate of change of velocity over time, so we differentiate the the equation of v(velocity) once or the equation of x(displacement) twice so now we get,
[tex]a=-2[/tex]
so Option A is your answer.
Remember derivative of a constant is always zero because a constant value has no rate of change has its a constant hence the derivative is 0
1. Four identical elephants are at different heights. If your physics teacher
asked you which of the following elephants has the greatest amount of
potential energy, what will be your answer? And why?
Helpppp:(((((
Since friction is a force,
what unit is friction
measured In???
Answer:
Since friction is a force it is measured in newtons
Hope this helps
Answer this please ASAP!!
110 is the answer to the question
Answer:
dont run away
Explanation:
41. What effects the efficiency of a pulley?
a. the type of rope or cable
b. the way the wheel turns
c. the length of the rope
d. how big the wheel is
e. only a and be
f. all of the above
Answer:
e. only a and b
What two things does force depend on
Answer:
When dealing with the force of gravity between two objects, there are only two things that are important – mass, and distance or (acceleration)
Explanation:
LOGARITHMIC functions have 2 asymptotes
True
False
Answer:
true
Explanation:
true
A 10 N force and an 18 N force act in the same direction on an object. What is the net force on the object?
Answer:
28 N
Explanation:
From the question given above, we were told that 10 N force and 18 N force act in the same direction on the object.
The net force acting on the object can be obtained by simply adding both forces together since they both act on the object in the same direction. This is illustrated below:
Force 1 (F₁) = 10 N
Force 2 (F₂) = 18 N
Net force (Fₙ) =?
Fₙ = F₁ + F₂ (since they both act in the same direction)
Fₙ = 10 + 18
Fₙ = 28 N
Therefore, the net force acting on the object is 28 N.
Where does gravity come from, and what affects it's strengths?
Something that makes objects start moving, stop moving, slow down or change direction is a
Answer:
it is a force
Explanation:
just believe me I'm a college graduate
Answer:
Force
Explanation:
Here Is A Wendys Roast To Hopefully Brighten Your Day!
A fireboat is to fight fires at coastal areas by drawing seawater with a density of 1030 kg/m3 through a 10-cm-diameter pipe at a rate of 0.04 m3/s and discharging it through a hose nozzle with an exit diameter of 5 cm. The total irreversible head loss of the system is 3 m, and the position of the nozzle is 3 m above sea level. For a pump efficiency of 70 percent, determine the required shaft power input to the pump and the water discharge velocity.
Answer:
50.93 m/s
199.5 kW
Explanation:
From the question, the nozzle exit diameter = 5 cm, Radius= diameter/2= 5cm/2= 2.5cm. we can convert it to metre for unit consistency= (2.5×0.01)=
0.025m
We can calculate the The cross sectional area of the nozzle as
A= πr^2
A= π ×0.025^2
= 1.9635 ×10^- ³ m²
From the question, the water is moving through the pipe at a rate of 0.1 m /s , then for the water to move through it at a seconds, it must move at
(0.1 / 1.9635 ×10^- ³ m²)
= 50.93 m/s
During the Operation of the pump, the Dynamic energy of the water= potential energy provided there is no loss during the Operation
mgh = 1/2mv²
We can make "h" subject of the formula, which is the height of required head of water
h = (1/2mv²)/mg
h= v² / 2g
h = 50.93² / (2 ×9.81)
h = 132.21m
From the question;
The total irreversible head loss of the system = 3 m,
the given position of nozzle = 3 m
the total head the pump needed=(The total irreversible head loss of the system + the position of the nozzle + required head of water )
=(3 + 3 + 132.21m)
=138.21m
mass of water pumped in a seconds can be calculated since we know that mass is a product of volume and density
Volume= 0.1m³
Density of sea water=1030 kg/m
(0.1 m^3× 1030)
= 103kg
We can calculate the Potential enegry, which is = mgh
= (103 ×9.81 × 138.21)
= 139651.5 Watts
= 139.65kW
To determine required shaft power input to the pump and the water discharge velocity
Energy= efficiency × power
But we are given efficiency of 70 percent, then
139651.5 Watts = 0.7P
=199502.18 Watts
P=199.5 kW
Therefore, the required shaft power input to the pump and the water discharge velocity is 199.5 kW
These the flow of electrons (the current) and where some of the electrons' energy gets converted into heat. (Lessons 5.01-5.03) electric currents Insulators Resistors Conductors
Answer: The answer is resistors
Explanation: I just took the unit test and it was correct
a car travels 200km in 3.0 hours. Determine the average velocity of the car
Answer:
66.67 km/hrExplanation:
The average velocity of the car can be found by using the formula
[tex]a = \frac{d}{t } \\ [/tex]
d is the distance
t is the time taken
From the question we have
[tex]a = \frac{200}{3} \\ = 66.66666...[/tex]
We have the final answer as
66.67 km/hrHope this helps you
Now imagine that a 0.2 kg baseball is moving at 30 m/s toward the batter. The ball is struck with a bat producing a force of 2000 N, which causes it to move in the opposite direction at 50 m/s. For how long was the ball in contact with the bat?
Given that,
Mass of a baseball, m = 0.2 kg
Initial speed of a baseball, u = 30 m/s
Force produced by a bat, F = 2000 N
Final speed of a baseball, v = -50 (negative for opposite direction)
To find,
For how long was the ball in contact with the bat?
Solution,
Let for t seconds the ball is in contact with the bat. The net force acting on the ball is given by :
[tex]F=\dfrac{m(v-u)}{t}\\\\t=\dfrac{m(v-u)}{F}\\\\t=\dfrac{0.2\times ((-50)-30)}{2000}\\\\t=8\ ms[/tex]
So, the ball is contact with the bat for 8 ms.
Please do all of i will give you brainlest and thanks to best answer
Answer:the answer is A
Explanation:
What do we know about the relative strength of the electric field around each object?
Answer:
A charged object in an electric field experiences a force due to the field. The electric field strength, E, at a point in the field is defined as the force per unit charge on a positive test charge placed at that point.
Explanation:
12. How many grams of beryllium are needed to produce 36.0 g of hydrogen? (Assume an excess of water.)
Be(s) + 2H, O() → Be(OH)2 (aq) +H,(g)
a
4.00 g
b. 36.0 g
c. 162 g
d 324 g
Answer:
Answer is: 162 g of beryllium.
Chemical reaction: Be + 2H₂O → Be(OH)₂ + H₂.
m(H₂) = 36,0 g.
m(Be) = ?
n(H₂) = m(H₂) ÷ M(H₂)
n(H₂) = 36,0 g ÷ 2 g/mol = 18 mol.
from reaction: n(Be) : n(H₂) = 1 : 1.
n(Be) = n(H₂) = 18 mol.
m(Be) = n(Be) · M(Be).
n(Be) = 18 mol · 9 g/mol = 162 g.
Answer:
Answer is: 162 g of beryllium.
Chemical reaction: Be + 2H₂O → Be(OH)₂ + H₂.
m(H₂) = 36,0 g.
m(Be) = ?
n(H₂) = m(H₂) ÷ M(H₂)
n(H₂) = 36,0 g ÷ 2 g/mol = 18 mol.
from reaction: n(Be) : n(H₂) = 1 : 1.
n(Be) = n(H₂) = 18 mol.
m(Be) = n(Be) · M(Be).
n(Be) = 18 mol · 9 g/mol = 162 g.
A 20 kg mass is hanging on one side of a pulley and a 5 kg mass is hanging on the other. Determine the acceleration of each mass.
Answer:
i believe it's 7
Explanation:
Why doesn’t the force you exert when sitting on a chair cause the chair to move?
a. The floor exerts a balancing force on the chair.
b. The floor exerts too much force on the chair
c. The floor exerts an unbalancing force on the chair.
d. The floor exerts no force on the chair.
Answer:
the answer is A
Explanation:
Should the resistance of an ammeter low or high ?give reason
Answer:
The resistance of an ammeter should be low. This is because an ammeter is connected in series with the circuit for the measurement of electric current. In case, its resistance is high, then some amount of current may lost in heating it leading to the inaccurate reading. An ideal ammeter is one which has zero resistance.
a 50.0kg skydiver experience a 740newton air resistance force determine her acceleration please help asap
Answer:
a = - 5 [m/s²].
Explanation:
To solve this problem we must use Newton's second law, which tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
F = resultant force [N] (units of Newtons)
m = mass = 50 [kg]
a = acceleration = 9.81 [m/s²]
For this particular problem, the only forces acting are the force of gravity acting down with negative sign, while the force of air opposes the fall, in this way it is positive.
[tex]f_{air}-F_{grav}=-m*a[/tex]
As the movement is pointing down the acceleration will be taken as negative.
[tex]740-(50*9.81)=-50*a\\740-490.5 = -50*a\\249.5 = -50*a\\a = - 5 [m/s^{2} ][/tex]
We should note that in this case, the acceleration has a negative sign, this means that the force of the air makes the skydiver move upwards