Answer:
velocity = 1527.52 ft/s
Acceleration = 80.13 ft/s²
Explanation:
We are given;
Radius of rotation; r = 32,700 ft
Radial acceleration; a_r = r¨ = 85 ft/s²
Angular velocity; ω = θ˙˙ = 0.019 rad/s
Also, angle θ reaches 66°
So, velocity of the rocket for the given position will be;
v = rθ˙˙/cos θ
so, v = 32700 × 0.019/ cos 66
v = 1527.52 ft/s
Acceleration is given by the formula ;
a = a_r/sinθ
For the given position,
a_r = r¨ - r(θ˙˙)²
Thus,
a = (r¨ - r(θ˙˙)²)/sinθ
Plugging in the relevant values, we obtain;
a = (85 - 32700(0.019)²)/sin66
a = (85 - 11.8047)/0.9135
a = 80.13 ft/s²
The magnitude of the linear velocity of the rocket at the given position is 1,667.2 ft/s.
The magnitude of the acceleration of the rocket at the given position is 90.73 ft/s².
The given parameters;
angular distance, θ = 66⁰radius of the path, r = 32700 ftcentripetal acceleration, ac = 85 ft/s²initial angular velocity, ωi = 0.019 rad/sThe linear velocity and final angular velocity of the rocket is calculated as follows;
[tex]a_c = \frac{v^2}{r} \\\\v^2 = a_c \times r\\\\v = \sqrt{a_c r} \\\\v = \sqrt{85 \times 32700}\\\\v = 1667.2 \ ft/s\\\\\omega_f = \frac{v}{r} = \frac{1667.2}{32700} = 0.051 \ rad/s[/tex]
The radial acceleration of the rocket is calculated as follows;
[tex]\omega_f^2 = \omega_i^2 + 2\alpha _r \theta\\\\(0.051)^2 = (0.019)^2 + 2(66^0 \times \frac{2\pi \ rad}{360 ^0} )(\alpha _r)\\\\(0.051)^2 - (0.019)^2 = 2(66^0 \times \frac{2\pi \ rad}{360 ^0} )(\alpha _r) \\\\0.00224 = 2.304\alpha _r\\\\\alpha _r = \frac{0.00224 }{ 2.304} \\\\\alpha _r = 0.00097 \ rad/s^2[/tex]
The tangential acceleration is calculated as follows;
[tex]a_t = \alpha_r \times r\\\\a_t = 0.00097 \times 32700\\\\a_t = 31.72 \ ft/s^2[/tex]
The resultant acceleration of the rocket is calculated as follows;
[tex]a = \sqrt{a_t^2 + a_c^2} \\\\a = \sqrt{31.72^2 \ + \ 85^2} \\\\a= 90.73 \ ft/s^2[/tex]
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60 drops fell from a burret.The first and final readings were 28cm³ and 43cm³ respectively.what is the average volume of one drop
Answer:
[tex]0.25\ cm^3[/tex]
Explanation:
Data provided in the question
Number of drops fell from a burret = 60
The first reading is 28 cm^3
And, the final reading is 43 cm^3
Based on the above information, the average volume of one drop is
[tex]= \frac{Final\ readings - first\ readings}{number\ of\ drops}[/tex]
[tex]= \frac{43\ cm^3 - 28\ cm^3}{60 \ drops}[/tex]
[tex]= 0.25\ cm^3[/tex]
Basically we applies the above formula by applying the three items given in the question so that the average volume of one drop could come
Answer:
0.25\ cm^30.25 cm
3
Explanation:
Data provided in the question
Number of drops fell from a burret = 60
The first reading is 28 cm^3
And, the final reading is 43 cm^3
Based on the above information, the average volume of one drop is
= \frac{Final\ readings - first\ readings}{number\ of\ drops}=
number of drops
Final readings−first readings
= \frac{43\ cm^3 - 28\ cm^3}{60 \ drops}=
60 drops
43 cm
3
−28 cm
3
= 0.25\ cm^3=0.25 cm
3
An object has a kinetic energy of 35j and a mass of 24j kg,how fast is the object moving?
Answer:
v = 1.7 m/s
Explanation:
We have,
The kinetic energy of the object is 35 J
Mass of the object is 24 kg
It is required to find the speed of the object. If v is the velocity, then kinetic energy is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
or
[tex]v=\sqrt{\dfrac{2E}{m}} \\\\v=\sqrt{\dfrac{2\times 35}{24}} \\\\v=1.7\ m/s[/tex]
So, the speed of the object is 1.7 m/s.
Carlotta makes a graphic organizer about the steps of the Sun’s hydrogen fusion process. A venn diagram of 3 intersecting circles with one circle labeled step 1, a second circle labeled step 2 and the third labeled step 3. There is a V in the step 1 circle. There is a Z in the step 3 circle. There is a W in the intersecting circle between step 1 and step 2. There is a Y in the intersecting section between step 2 and step 3. There is an X in the intersecting area of all 3 circles. She wants to add three labels. Label 1: is a reactant. Label 2: Energy is released. Label 3: Helium is produced. What is the best placement of the labels? Label 1 in region V. Label 2 in region X. Label 3 in region Z. Label 1 in region W. Label 2 in region Y. Label 3 in region Z. Label 1 in region W. Label 2 in region X. Label 3 in region Y. Label 1 in region V. Label 2 in region Z. Label 3 in region Y.
Answer:
label 1:w
label 2: x
label 3:y
Explanation:
you should add me on sp annabell_aaaa
Answer:
w,x,y
Explanation:
i did it on edg
two current carrying wires are placed next to each other. Their currents are moving in the same direction. Suggest why each wire experiences a force
When there are two currents flowing in opposite direction the magnetic field are moving in the same directions. When the currents flow in the same direction the magnetic field will be opposite, causing the wires to attract.
how much work is done by a force of 20N while moving an object through distance 10 m of the force
Answer:
200 J
Explanation:
Work = Force × Distance
Work = (20 N)(10 m) = 200 N·m = 200 J
200 joules of work are done by a force of 20 N over a distance of 10 m.
Convert-
a) 42° to kelvin
b) 56k to °C
c) 37° to °F
d) 32° to °C
Answer:
k is celcius/farhneit +273
c is 5/9 f-32
f is 9/5 (c+32)
Answer:
A. 318.15
B.-217.15
C. 132.8
D. 0
Explanation:
K − 273.15 = °C/°F
°C/ °F + 273.15 = K
(°C × 9/5) + 32 = °F
(°F − 32) × 5/9 = 0°C
What is the magnetic force on a 200 cm length of (straight) wire carrying a current of 30 A in a region where a uniform magnetic field has a magnitude of 0.055 T and is directed at an angle of 20 away from the wire
Answer:
F = 0.112 N
Explanation:
To find the magnitude of magnetic force on the wire, you use the following formula:
[tex]|\vec{F}|=|i\vec{L}\ X\ \vec{B}|=iLBsin\theta[/tex] (1)
L: length of the wire = 200cm = 0.2m
i: current in the wire = 30 A
B: magnitude of the magnetic field = 0.055 T
θ: angle between the directions of L and B = 20°
You replace the values of L, i, B and θ in the equation (1):
[tex]|\vec{F}|=(30A)(0.2m)(0.055T)sin(20\°)=0.112N[/tex]
hence, the magnetic force on teh wire is 0.112N
Which statement best describes the movement of particles when a wave travels through a medium?
Answer:
The particles of the medium just vibrate in place. Particles of the medium don’t actually travel along with the wave. Only the energy of the wave travels through the medium.
Explanation:
A body is moving vertically upwards. It’s velocity changes at a constant rate from 50m/s to 20m/s in 3 sec. What is it’s acceleration ?
Answer:
-10 m/s²
Explanation:
a = Δv / Δt
a = (20 m/s − 50 m/s) / 3 s
a = -10 m/s²
Answer 10 m/s²
Explanation:
a = Δv / Δt
a = (20 m/s − 50 m/s) / 3 s
a = -10 m/s²
Explanation:
April sits at rest on a skateboard. She has a mass of 65 kg. Her friend throws
her a suitcase (m= 15 kg) at a speed of 3 m/s. If she catches it, how fast will
she, the skateboard, and the suitcase move?
Answer:
[tex]Velocity = 0.5625m/s[/tex]
Explanation:
Given
Represent mass of April with M and mass of the suitcase with m; such that
[tex]M = 65kg[/tex]
[tex]m = 15kg[/tex]
Represent initial velocity of April with U and initial velocity of the suitcase with u; such that
[tex]U = 0m/s[/tex] (because she's resting on the skateboard, initially)
[tex]u = 3m/s[/tex]
After she catches the suitcase, she, the skateboard and the suitcase moves at the same velocity.
Represent this velocity with v
The above given information can be representing using law of conservation of momentum.
[tex]MU + mu = (M + m)v[/tex]
Substitute the values of M,U, m and u.
This gives
[tex]65 * 0 + 15 * 3 = (65 + 15)v[/tex]
[tex]0 + 45 = (80)v[/tex]
[tex]45 = 80v[/tex]
Divide both sides by 80
[tex]\frac{45}{80} = \frac{80v}{80}[/tex]
[tex]0.5625 = v[/tex]
Hence, they moved at a velocity of 0.5625m/s
quantities that are pure numbers
Answer:
All pure numbers are dimensionless quantities, for example 1, i, π, e, and φ. Units of number such as the dozen, gross, googol, and Avogadro's number may also be considered dimensionless
Explanation:
Explain why It takes longer to heat a cinema to the same temperature as a house.
What is "In an isolated system two cars, each with a mass of 2,000 kg, collide. Car 1 is initially at rest , while car 2 was moving at 20 m/s. what is their combined momentum after the collision?"
Answer:
Final velocity of the combining cars = 10m/s
combined momentum = 40000kgm/s
Explanation:
Given the following :
Mass of both colliding cars = 2000kg
Initial Velocity of car 1 (U1) = 0
Initial Velocity of car 2 (U2) = 20m/s
Combuned momentum after collision =?
This is an inelastic collision which is calculated thus :
M1U1 + M2U2 = M1V + M2V
M1U1 + M2U2 = (M1 + M2) V
Where V = "final Velocity of the colliding bodies
2000 × 0 + 2000 × 20 = (2000 + 2000) V
0 + 40000 = 4000V
V = 40000 / 4000
V = 10m/s
Therefore combined momentum = (M1 + M2) V
(2000 + 2000) 10
4000(10) = 40000kgm/s
Which change will increase the speed of a sound wave traveling in a solid aluminum rod?
Answer:
Increasing the temperature of the rod
Explanation:
which household items can combust
Answer:
Explanation:
Rubbing Alcohol
Nail polish and nail polish remover
Linseed oil
Aerosol cans
Non-dairy creamer
Gasoline, turpentine, and paint thinner
Hand sanitizer
Flour
Oranges
4. A moped travels 20 kilometers in 30 minutes. Calculate its average speed in km/h?
Answer:
[tex] \boxed{Average \: speed = 40 km/h} [/tex]
Explanation:
Distance travelled = 20 km
Time taken = 30 min
= [tex] \frac{30}{60} [/tex] h
= [tex] \frac{1}{2} [/tex] h
[tex]Average \: speed = \frac{Distance \: travelled}{Time \: taken} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{20}{ \frac{1}{2} } \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 \div \frac{1}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 20 \times 2 \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 40km/h[/tex]
A 5.0 V battery contains 775 C of charge. How much electricity energy can it produce?
Answer:
3875J
Explanation:
Energy is defined as the power × time
And it's defined as
Power = IV - I- current and V- voltage
Now quantity of electricity; Q = I × t
Where I is current and t is time
Now Energy = I ×V×t = V× I×t = V× Q;
where Q is quantity of electricity 775C and V is 5.0volt
Hence 775 × (5) =3875J
Sa se calculeze caldura degajata de un fier de calcat dace este alimentat la 220v si este parcurs de un curent electric de 100 a. Se stie ca acesta functioneaza 25 de min
Answer
33,000,000 joules or 33MJ
Explanation:
The formula for calculating the heat released by a substance is expressed as shown below;
where;
Q is the amount of heat released
p is the power expended
t is the time it takes
[tex]Since P = current * voltage\\P = IV[/tex]
Then;
[tex]Q = IVt[/tex]
Given the current I = 100A, supply voltage V = 220V and required time t = 25mins
t = 25 * 60 = 1500 seconds
Substituting these values in the formula that we have;
[tex]Q = 100 * 220 * 1500\\Q = 22000*1500\\Q = 33,000,000Joules\ or\ 33MJ[/tex]
I NEED HELP ASAP
please please please
Answer:
B AND D
HOPE ITS HELF FUL .........
If a sound travels 343m/s through air and has a frequency of 800Hz, what would the wavelength be of the same sound traveling through water 500m/s with the same frequency?
Answer:
0.625m
Explanation:
Now Velocity of a wave ,V = frequency × wavelength
Wavelength =velocity /frequency
=500/800 =0.625m
The pressure of a gas is affected by what two things?
a. Quantity and Temperature
b. Pressure and Temperature
c. Quantity and Pressure.
d. Pressure and Height
Answer:
the correct answer is,
a. Quantity and Temperature
Answer:
B
Explanation:
pressure because, if the volume increases the pressure decreases.
Temperature because, if its hot molecules will be farther apart and if its cold molecules wil be tightly together
pls mark me brainliest
Covalent bonds are formed between .....
non-metal and non-metal
two or more nonmetals
metals and metals
Answer:
Non metal and nonmetal
Explanation:
Covalent bonds are formed between non-metal and non-metal
Hope this helps...
~Fast-moving currents of air that occur above the friction layer are called?
mesocyclone
wind trains
chinooks
jet streams
Answer:
the answer is jet stream [100%] sure
I really need help so heres the question: "A 100 watt lightbulb is on for 2 hours a day" What is the energy in watt-hour (Wh) it consumes per day?
Answer:
Explanation:
You have to assume the lightbulb consumes 100 watts of power. If it gives off 100 watts equivalent of light, you cannot solve the problem.
W = 100 watts
T = 2 hours
Energy = W * h
Energy = 100 * 2
Energy = 200 watt*hours
What are the materials necessary to create an electromagnet?
A) power source, metallic core, and electrical conductor
B) metallic core and power source only
C)metallic core magnet, and power source
D)electrical conductor and power source only
Answer:
A
Explanation:
Electromagnet: It is a temporary magnet. It consists of wrapping coils around iron core and the power source. When the current passes through the coils around the iron core then it will get magnetized. The domains of the electromagnet gets aligned.
As long as the current passes through it, it will get magnetized. It will loose its magnetism easily when the power is switched off.
In the electromagnet, the strength of the magnetism can be increased or decreased. The poles of the electromagnet are not fixed.
A 20 cm
B 15 cm
C 10 cm
D 5 cm
E 0 cm
If potential energy at point A is 12 joules, what is the potential energy at C?
Answer:
4.8.
Explanation
A 15cm long cube made of Oak and of side floats
in water 10.5 cm of its depth below the surface
and with its sides vertical what is the density
of cube. of Water = 1000 kg m-3 ans 7ooR g/m 3
density
Answer: 700 kg/m³
Explanation: Check the solutions , 3 ways :-
The density of cube will be 700 kg/m^3.
What is the density of cube.
Length of cube(l) =15 cm =0.15m
Volume of cube ([tex]V_{c}[/tex]) = l^3=(0.15 m)^3
Volume of water displaced ([tex]V_{w}[/tex]) = Volume of cube inside water
[tex]V_{w}[/tex] =0.15*0.15*0.105 m^3
we know that,
Density of water ([tex]D_{w}[/tex]) =1000 kg/m^3
from law of floatation ,
Weight of floating body= Weight of displaced liquid
[tex]V_{c}[/tex][tex]D_{c}[/tex]g = [tex]V_{w}[/tex][tex]D_{w}[/tex]g
[tex]V_{c}[/tex][tex]D_{c}[/tex]=[tex]V_{w}[/tex][tex]D_{w}[/tex]
0.15*0.15*0.15*[tex]D_{c}[/tex]=0.15*0.15*0.105*1000
[tex]D_{c}[/tex]=0.105*1000/0.15
[tex]D_{c}[/tex] =700
Hence, The density of cube will be 700 kg/m^3.
Learn more about problems on density
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A 24 resistor, an inductor with a reactance of 12 , and a capacitor with a reactance of 10 are in series across a 60 V 50 Hz source. Calculate the voltage across the inductor.
Answer:
A⋅24=24A
12=24A
10=24A
a⋅(60V)⋅(50Hz)=3000aVHz
Explanation:
What is the main reason for using a data table for collecting data?
If you put a question in the answer box or anything that isn't a answer in the answer box I will report you!
Answer:
to make calculation more easy to get
Explanation:
if you are using chart or calculate Thermodynamic problems you will not never solve this problem with out using data table for thermodynamic
what is meant by tyndall effect? in point wise with example.
Answer:
scattering of light
Explanation:
is the scattering of light as a light beam passes through a colloid. The individual suspension particles scatter and reflect light, making the beam visible. ...
