The force the gun exerts on the pellet at the given acceleration is 80 N.
The given parameters;
mass of the pellet, m = 5 g = 0.005 kglength of the gun, d = 50 cm = 5 mfinal velocity of the pellet, v = 400 m/sThe acceleration of the pellet is calculated as follows;
[tex]v^2 = u^2 + 2as\\\\400^2 = 0 + 2(a) (5)\\\\400^2 = 10a\\\\160000 = 10a\\\\16,000 \ m/s^2 = a[/tex]
The force the gun exerts on the pellet at the given acceleration is calculated as;
[tex]F = ma\\\\F = 0.005 \times 16,000\\\\F = 80 \ N[/tex]
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please help me please help
Answer:
Answer → Distance is 5 × 10⁴ km
Explanation:
Gravitational formular
[tex]{ \tt{F = \frac{GMm}{ {r}^{2} } }} \\ [/tex]
F is the gravitational forceG is the universal gravitational constantr is the separation distanceM & m are the massesFor the first case;
[tex]{ \tt{F _{1} = \frac{GMm}{2.5 \times {10}^{4} } }} \\ [/tex]
For the second case;
[tex]{ \tt{F _{2} = \frac{GMm}{r _{2}} }} \\ [/tex]
but F2 = ½F1
Therefore, F1 = 2F2
Hence:
[tex]{ \tt{ \frac{GMm}{2.5 \times {10}^{4} } =2 \times \frac{GMm}{r _{2} } }} \\ \\ { \tt{ \frac{1}{2.5 \times {10}^{4} } = \frac{2}{r _{2} } }} \\ \\ { \tt{r _{2} = 2 \times 2.5 \times {10}^{4} }} \\ \\ { \underline{ \tt{ \: \: r _{2} = 5 \times {10}^{4} \: km \: \: }}}[/tex]
Answer: Distance is 5 × 10⁴ km
Explanation:
A circular coil consisting of 500 turns with an area of 6.0x10-4 m 2 is rotating in a uniform magnetic field. At the start, the normal to the coil is perpendicular to the magnetic field. After 15s, the normal to the coil is 60⸰ with the magnetic field. The average induced emf is -0.058V. What is the magnitude of the magnetic field?
The magnitude of the magnetic field in the coil is 21.65 T.
The given parameters;
number of turns, N = 500 turnsarea of the coil, A = [tex]6\times 10^{-4} \ m^2[/tex]change in time, t = 15 sThe induced emf in the coil is determined by applying Faradays law;
[tex]emf =N \frac{d\phi }{dt} \\\\emf = N ( \frac{\phi _2 - \phi_1}{t} )\\\\emf= N(\frac{BAsin\ 60 - BAsin\ 90}{t} )\\\\emf = NBA(\frac{sin60 - sn90}{t} )\\\\-0.058 = 500(6\times 10^{-4})\times B\times (\frac{0.866 - 1}{15} )\\\\-0.058 = -0.00268B\\\\B = \frac{0.058}{0.00268} \\\\B = 21.65 \ T[/tex]
Thus, the magnitude of the magnetic field in the coil is 21.65 T.
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Power of an electric motor is 1 h.p. what does it mean ?
Answer: HP = Horse Power.
Explanation: it is the unit given to tell the motor's particular power and 1hp = 746 watts.
Plzzzz help meeeeee plzzz
hun I wish I can help you but I have the same problem here!! sorry
Usain Bolt has a mass of 94.1 kg and he had a KE of 7,250 J when running the one hundred meter dash. Calculate how fast he was running
Answer:
[tex]\displaystyle v = 12.4134 \ m/s[/tex]
General Formulas and Concepts:
Energy
Kinetic Energy Formula: [tex]\displaystyle KE = \frac{1}{2}mv^2[/tex]
m is mass (in kg)v is velocity (in m/s)Explanation:
Step 1: Define
Identify variables.
KE = 7250 J
m= 94.1 kg
Step 2: Solve for v
Substitute in variables [Kinetic Energy Formula]: [tex]\displaystyle 7250 = \frac{1}{2}(94.1)v^2[/tex]Isolate v term: [tex]\displaystyle 154.091 = v^2[/tex]Isolate v: [tex]\displaystyle v = 12.4134[/tex]Topic: AP Physics 1 - Algebra Based
Unit: Energy
consider two vectors A and B Where A-B and |A+B|=|A-2B| vector B is directed in the positive x_direction and A makes an angle of 60°above the positive x_axis find magnitude of the two vectors
Answer:
It should be mentioned that an efficient way to work this vector addition problem is with the cosine law for general triangles (and since
a
,
b
and
r
from an isosecles triangle, the angles are easy to figure). However, in the interest of reinforcing the usual systematic approach to vector addition, we note that the angle
b
makes with the +x axis is 30
0
+105
0
=135
0
(a) The x component of
r
x
=(10.0m)cos30
0
+(10.0m)cos135
0
=1.59m
(b) the y component of
r
is r
y
=(10.0m)sin135
0
= 12.1 m.
(c) the magnitude of
r
is r = ∣
r
∣=
(1.59m)
2
+(12.1m)
2
=12.2m
(d) The angle between
r
and the +x direction is tan
−1
[(12.1m)/(1.59m)]=82.5
0
Explanation:
the homogenvity of s=ut+1/2at^2
Real-life situations of microphones.
Answer:
Microphones are used in many applications such as telephones, hearing aids, public address systems for concert halls and public events, motion picture production, live and recorded audio engineering, sound recording, two-way radios, megaphones, radio and television broadcasting.
please solve due is today....asap please
Answer:
a)object is in uniform motion
Explanation:
velocity is constant.and a=0
body is in uniform motion.
BRAINLIST PLS
Which sense is used to determine whether an object is something you might want to eat?
smell
sight
taste
all of the above
Answer: D, All of the above!
Explanation:
I just helped my daughter with this test and it was correct!! Good luck !!
A wrecking ball has a mass of 650 kg. It swings from a cable that is 21 m long. The centripetal force on the ball is 56 N. What is the tangential speed of the wrecking ball? 1. 3 m/s 1. 8 m/s 46 m/s 870 m/s.
Hi there!
For an object moving in a circle:
Centripetal force = ∑F = mv²/r
Thus:
56 = mv²/r
Rearrange to solve for velocity:
√(56r/m) = v
√(56 × 21)/650 = 1.345 m/s
Answer:
AExplanation:
have a good day
Eva's pillows are really old and very flat. She is very used to them, so she thinks that they are fine. What would be a healthier option?
А. Fuller pillows that keep her neck straight
B. Stacking pillows so that her head is elevated.
C. Eliminating pillows and just sleeping on the mattress.
D. Using the pillows to get her feet higher than her head.
Answer:
I think c
Explanation:
have a good day/night/ whatever
Fuller pillows that keep her neck straight. The correct option is A.
Thus, Broader pillows that properly support her neck and head would be a better choice. Better sleeping posture and a lower incidence of neck and back pain can both be encouraged by pillows that keep the neck and spine in their natural alignment.
Flat pillows could not offer enough support, which could result in poor alignment and long-term discomfort or suffering.
Stacking pillows in Option B may provide some elevation, but it might not necessarily provide the essential neck and spine support. Option C (without using pillows) can fail to give the head and neck the necessary support and cushioning.
Thus, Fuller pillows that keep her neck straight. The correct option is A.
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2. Un niño hace girar con la mano una pelota de hule que se encuentra sujeta mediante un cordón de
0.75 m de longitud. Si la pelota da 0.7 vueltas a cada segundo, entonces,
a) ¿Cuál es el periodo de la pelota?
b) ¿Cuál es la velocidad lineal de la pelota?
Cuando el niño hace girar 0.7 vueltas por segundo una pelota de hule que se encuentra sujeta mediante un cordón de 0.75 m de longitud, tenemos que:
a) El periodo de la pelota es 1.43 segundos.
b) La velocidad lineal de la pelota es 3.3 m/s.
a) El periodo de la pelota está dado por:
[tex] T = \frac{2\pi}{\omega} [/tex]
En donde:
ω: es la velocidad angular
Dado que la pelota da 0.7 vueltas (revoluciones) cada segundo, la velocidad angular es:
[tex] \omega = \frac{0.7 \:rev}{s}*\frac{2\pi rad}{1 \:rev} = 4.40 rad/s [/tex]
Entonces, el periodo es:
[tex]T = \frac{2\pi}{\omega} = \frac{2\pi}{4.40 rad/s} = 1.43 s[/tex]
b) La velocidad lineal de la pelota se puede calcular usando la siguiente ecuación:
[tex] v = \omega r [/tex]
En donde:
r: es el radio de la circunferencia = longitud del cordón = 0.75 m
[tex]v = \omega r =4.40 rad/s*0.75 m = 3.3 m/s[/tex]
Por lo tanto, la velocidad lineal de la pelota es 3.3 m/s.
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is the amplitude just 2? Or do I combine all of them and do 6?
Answer:
combine them all
6 m
Explanation:
a runner joys 12km north than turs and runs 16km east in three hours.
a. what is his displacement
b. calculate his average speed
c. calculate his average including the direction
Explanation:
a.displacement is vector quantity there fore
we combine the two direction
[tex] {c}^{2} = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
[tex] {c}^{2 } = \sqrt{ {12}^{2} + {16}^{2} } [/tex]
[tex] {c}^{2} = \sqrt{400 } [/tex]
[tex]c = 20[/tex]
displacement is 20km to wards north
b:average speed
[tex]v = s \div t[/tex]
20/3=6.67
c: please type correctly
when a single star with a mass equal to the sun dies, it will become a
When a single star with a mass equal to the sun dies, it will become a: white dwarf.
A star is a giant celestial (astronomical) object which comprises a luminous sphere of plasma bounded together by its own gravitational force.
A single star can be defined as a type of star that moves through space alone.
Generally, a star is mainly composed of two (2) hot gases and these are:
I. Hydrogen (H).
II. Helium (He).
Based on Astronomy, when a star runs out of hydrogen, depending on its mass, it would either turn into any of the following:
A planetary nebula.A supernova.A white dwarf.Similarly, when a single star with a mass equal to the sun dies, it will turn into a white dwarf.
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A ceiling fan is turned on and reaches an angular speed of 120 rev/min in 20 s. It is then turned off and coasts to a stop in an additional 40 s. In the one minute of rotation, through how many revolutions did the fan turn?.
Hi there!
We can first find the angular displacement of the first 20 seconds by finding the angular acceleration.
Begin by converting 120 rev/min to rev/sec:
120 rev/min × 1 min/60 sec = 2 rev/sec
ω = αt
2 = 20α
α = 0.1 rev/sec²
θ = ωit + 1/2αt²
The fan starts from rest, so:
θ = 1/2αt²
θ = 1/2(0.1)(20²) = 20 revolutions
Now, for the next 40 seconds, we can find the fan's deceleration:
ωf = ωi + αt
0 = 2 + αt
-2 = 40α
α = -0.05 rad/sec²
Use the above equation:
θ = ωit + 1/2αt²
θ = 2(40) + 1/2(-0.05)(40²) = 80 - 40 = 40 rev
θ = 4800 - 2400 = 2400 revolutions
Add the two:
θtotal = 20 + 40 = 60 revolutions
please answer this don't go on the one which is choosed coz i bymistakely choosed it
Answer:
(B) B is travelling fastest
Explanation:
slope of xt graph = speed.
Slope of B is greater than a and c.
BRAINLIST PLS
ASAP will mark brainlyist
A truck is speeding up (with a constant acceleration) from rest to 45 m/s and it takes it 15 seconds to do so. How far will the car travel?
Answer:
[tex]315meters[/tex]
Explanation:
Solution is attached.
Which of the following is a force?
1) inertia
2) friction
3) acceleration
4) velocity
Hi there!
[tex]\large\boxed{\text{Friction.}}[/tex]
We can go through each:
1) Inertia is NOT a force. Inertia is defined as an object's resistance to motion, or its mass.
2) Friction IS a force because it results in acceleration.
3) Acceleration is not a force, but rather a product of force.
4) Velocity is simply a quantity that can be changed as a result of a force.
The coefficient of kinetic friction between a couch and the floor is .81 if the couch has a mass of 71 kilograms and you push it with a force of 650 newtons what is the net force on the couch as it slides
Hi there!
The equation for the kinetic friction force is:
[tex]F_{kf} = \mu mg[/tex]
We can begin by doing a summation of forces acting on the couch where a positive force is in the direction of the couch's acceleration, or in the direction of the push.
Thus:
[tex]\Sigma F = F_A - F_{kf}[/tex]
Now, plug in the values:
[tex]F_{net}= 650 - (.81 * 9.8 * 71) = \boxed{86.4 N}[/tex]
Explain in terms of pressure why a boat made of modelling clay floats?
Answer:
cuz model clay float
Explanation:
yeah
A cyclist pedals up to the top of a hill.
a) What kind of energy is being used to do work against gravity?
b) State the type of energy the cyclist has when he stops at the top of the hill.
c) When the cyclist moves downhill without pedaling, what type of energy does he gain?
Explanation:
A) kinetic energy
B) potential energy
C) Mechanical energy
a) The motorcyclist rises utilising chemical energy's "mechanical energy" (kinetic and potential energy). b) The cyclist's highest "gravitational potential energy" is transformed into motion downhill. c) When the rider moves downhill, potential energy becomes "kinetic energy." "Kinetic energy" is most vital.
a) "Mechanical energy" is used by the cyclist to ride up the slope. Kinetic and potential energy from an object's motion and position make up mechanical energy. As they pedal, cyclists transform chemical energy from their bodies into mechanical energy. This mechanical energy overcomes gravity as the cyclist climbs. As the cyclist climbs, potential energy accumulates, which is translated into kinetic energy as they descend.
b) At the summit of the slope, the biker has "gravitational potential energy." An object's gravitational potential energy depends on its position in a gravitational field. The biker has gained potential energy by climbing against gravity. At the crest of the hill, the cyclist's kinetic energy is lowest while potential energy is highest. The cyclist's potential energy is ready to be turned into kinetic energy as they descend.
c) Without pedalling, the rider gains "kinetic energy." The cyclist's speed increases as they descend, converting potential energy into kinetic energy. The cyclist's potential energy is turned into kinetic energy by gravity. As the rider descends, their potential energy diminishes but their kinetic energy increases, speeding up their bike. The biker converts potential energy into kinetic energy as he descends, and most of it is converted back at the bottom.
In conclusion, the cyclist climbs the incline using "mechanical energy" from chemical energy. They descend using "gravitational potential energy" at the top. Potential energy becomes "kinetic energy" when the rider descends without pedalling, speeding up the bike. Potential-to-kinetic energy conversion helps the cyclist climb the slope.
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Plate movements on Earth’s crust create ______
Answer: earthquakes and volcanoes
Explanation:
Different between sound wave and water wave
Water waves shake energy over the surface of the sea, while sound waves thump energy through the body of the air. Sound waves are compression waves. They're also called longitudinal waves because the air vibrates along the same direction as the wave travels.
answer with proper explanation
Answer:
B
Explanation:
Moment = force * perpendicular distance
Since the beam is balanced(equilibrium), the 2 moments will be equal.
30 * P = 70 * Q
The 2 combinations which achieve this equality is P = 21 and Q = 9
What makes rusting a redox reaction?
A. It is an example of combustion, which is a redox reaction.
B. Electrons are transferred from oxygen atoms to iron atoms.
C. Any reaction involving oxygen is a redox reaction.
D. Electrons are transferred from iron atoms to oxygen atoms.
(No links please)
Electrons are transferred from oxygen atoms to iron atoms is a redox reaction. Option B is correct.
What is a redox reaction?A redox reaction is a type of chemical reaction in which two species exchange electrons.
Any chemical process in which the oxidation number of a molecule, atom, or ion changes by gaining or losing an electron is known as an oxidation-reduction reaction.
A redox reaction can result in the creation of hydrogen fluoride. The creation of hydrogen fluoride is another example of a redox reaction.
We can evaluate the oxidation and reduction of reactants by breaking down the process. Each hydrogen turns positive after being oxidized and losing two electrons.
Electrons are transferred from oxygen atoms to iron atoms is a redox reaction.
Hence, the option B is correct.
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Answer: D) Electrons are transferred from iron atoms to oxygen atoms
If anyone else needs it
Explanation: the iron is increasing in oxidation number (losing electrons) and oxygen is decreasing in oxidation number (gaining electrons). This tells us that we have oxidation (or rusting) taking place.
A car accelerates from 20m/s to 30m/s in 10 sec. Find the cars acceleration using v=u+at
Answer:
1
Explanation:
because when we use v=u+at we derived v-u÷t
In both experiments, what accounts for the change in pressure you observed as you changed the volume of the gas
Answer: When a gas is in a smaller volume, the molecules are more confined and bump into the walls of the flask more, thereby exerting a greater pressure.
Explanation:
If the pressure of a gas is kept constant and the temperature (in Kelvin) is cut in half, the volume will _________.
Answer: be cut in half
Explanation: