The resultant of two forces is 250 N and the same are inclined at 30° and 45° with resultant one on either side calculate the magnitude of two forces
Answers
Answer:
The two forces are;
1) Force 1 with magnitude of approximately 183.013 N, acting 30° to the left of the resultant force
2) Force 2 with magnitude of approximately 129.41 N acting at an inclination of 45° to the right of the resultant force
Explanation:
The given parameters are;
The (magnitude) of the resultant of two forces = 250 N
The angle of inclination of the two forces to the resultant = 30° and 45°
Let, F₁ and F₂ represent the two forces, we have;
F₁ is inclined 30° to the left of the resultant force and F₂ is inclined 45° to the right of the resultant force
The components of F₁ are [tex]\underset{F_1}{\rightarrow}[/tex] = -F₁ × sin(30°)·i + F₁ × cos(30°)·j
The components of F₂ are [tex]\underset{F_2}{\rightarrow}[/tex] = F₂ × sin(45°)·i + F₂ × cos(45°)·j
The sum of the forces = F₂ × sin(45°)·i + F₂ × cos(45°)·j + (-F₁ × sin(30°)·i + F₁ × cos(30°)·j) = 250·j
The resultant force, R = 250·j, which is in the y-direction, therefore, the component of the two forces in the x-direction cancel out
We have;
F₂ × sin(45°)·i = F₁ × sin(30°)·i
F₂ ·√2/2 = F₁/2
∴ F₁ = F₂ ·√2
∴ F₂ × cos(45°)·j + F₁ × cos(30°)·j = 250·j
Which gives;
F₂ × cos(45°)·j + F₂ ·√2 × cos(30°)·j = 250·j
F₂ × ((cos(45°) + √2 × cos(30°))·j = 250·j
F₂ × ((√2)/2 × (1 + √3))·j = 250·j
F₂ × ((√2)/2 × (1 + √3))·j = 250·j
F₂ = 250·j/(((√2)/2 × (1 + √3))·j) ≈ 129.41 N
F₂ ≈ 129.41 N
F₁ = √2 × F₂ = √2 × 129.41 N ≈ 183.013 N
F₁ ≈ 183.013 N
The two forces are;
A force with magnitude of approximately 183.013 N is inclined 30° to the left of the resultant force and a force with magnitude of approximately 129.41 N is inclined 45° to the right of the resultant force.
Related Questions
11 A car is driven on a long journey along a flat, horizontal road. The car stops several times on the
journey and its engine becomes hot.
Which type of energy does not change during the journey?
A the chemical energy in the fuel tank
the gravitational energy of the car
c the internal (thermal) energy of the engine
B
D the kinetic energy of the car
Answers
Answer:
A
Explanation:
Because the gravity is the one pulling the car to the ground so it doesnot change
The same same thing happens to the chemical energy in the engine it doesnot change as it is the one that makes the car to move from one place to another
Option B is correct that is the gravitational energy of the car does not change.
(A) The chemical energy in the fuel tank gets converted into thermal energy heating up the engine and mechanical energy which helps moving the car.
(B) Gravitational energy is due to the force of gravitation between the car and the earth and depends on their respective masses which does not change as the car moves.
(C) The internal energy is proportional to thermal energy. the thermal energy of the engine increases which means its internal energy also increases.
(D) The kinetic energy of the car changes as it moves and stops.
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Do you think solar roofs and energy storage batteries will become widespread in the future? Why or why not?
2. In your opinion, do the potential benefits of electric vehicles outweigh the potential costs? Explain.
Answers
Answer:
yes and I think there will be solar windows aswell
which internal energy source produces heat by converting gravitational potential energy into thermal energy
Answers
samantha walked 5km/h . how long did it take to her to travel 15 km?
Answers
Answer:
3hrs is the answer
Explanation:
time=d/t
t=15/5 hrs
t=3 hrs
a traveller covers 1.2km distance in 5mins find it's average velocity
Answers
Explanation:
Average Velocity = Displacement / Time
= 1.2km / 5 min
= 1200m / 300s
= 4m/s.
The average velocity of a moving body is the distance covered by time. The average velocity of the traveler covers 1.2 km in 5 min is 4 m/s.
What is velocity ?Velocity is a physical quantity which measures the distance travelled per unit time. Velocity is a vector quantity thus having both magnitude and direction.
Velocity is the ratio of distance to the time. Given that the distance travelled by the man = 1.2 km = 1200 m
time = 5 min = (5 × 60 s) = 300 s.
Thus, velocity = distance/ time
= 1200 m / 300 s
= 4 m/s.
Therefore, the velocity of the traveler is 4 m/s.
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How do the summer monsoons of India affect the hydrosphere, geosphere, and biosphere?
Answers
Answer:
Explanation:
The monsoon rains are the main source of water for 55 percent of the country’s arable land. This means the rains are crucial — not only for India’s farmers, but for its economy as a whole. Now, that’s a good thing when the monsoon arrives on time and brings the right amount of rain. But when it’s late or weak, it leads to drought.
HELP ASAP!! WILL TRY TO GIVE BRAINLIEST
Explain how receptor-mediated endocytosis is more specific than pinocytosis or phagocytosis
Answers
Answer:
it selects what molecules to engulf, whereas pinocytosis or phagocytosis engulf anything in the vicinity
Trust!
Alkali metals _____.
A. only react with other metals in Group 1
B. react with other elements by losing one electron
C. react with other elements by gaining one electron
D. do not react with other elements under normal conditions
Answers
A force of 900N acts on
a stationary body
for 40sec and the body acquires the velocity of360 m/s calculate mass a body.
Answers
Answer:
Explanation:
It is still using F = m*a -- just in a disguised form.
Givens
F = 900 N
vf = 360 m/s
vi = 0
t = 40 second
Formulas
a = (vf - vi)//t
F = m * a
Solution
a = (360 - 0)/ 40
a = 9
F = m * a
900 = m * 9
m = 900/9
m - 100 kg. Doesn't seem high enough.
Answer:
a= V- u/t
a= 360 - 0 /40 = 9 m/sec2
F = MA
900 = M * 9
M = 900/9
M= 100 kg
3) A school bus traveling at 12 m/s has a momentum of 144,000 kg.m/s.
What is the mass of the bus?
Answers
Answer:
does this have picture so I can solve
The mass is 12,000
144,000 divided by 12 = 12,000
Momentum = mass × velocity
Brainliest would be appreciated. :)
a spy satellite of mass of 1000 kg is orbiting the earth at an altitude of 300 km/s
a) what is its period
b) what is its orbital speed
Answers
Answer:
a) The period of the satellite is approximately 5,425.305 seconds (1.507 hours)
b) The orbital velocity of the satellite is approximately 7,725.8565 m/s
Explanation:
The given parameters are;
The mass of the satellite, m = 1,000 kg
The altitude at which the satellite is orbiting, h = 300 km
a) The period of the satellite is given as follows;
[tex]T = 2 \times \pi \times \sqrt{\dfrac{(R + h)^3}{g \times R^2} }[/tex]
Where;
R = The radius of the Earth = 6.371 × 10⁶ m
g = The acceleration due to gravity = 9.81 m/s²
h = The altitude of the orbit of the satellite = 300 km = 300,000 m
By substitution, we have;
[tex]T = 2 \times \pi \times \sqrt{\dfrac{((6.371 + 0.3)\times 10^6)^3}{9.81 \times (6.371 \times 10^6)^2} } \approx 5,425.305[/tex]
T ≈ 5,425.305 seconds ≈ 1.507 hours
b) The orbital velocity of the satellite is given as follows;
[tex]v_0 = \sqrt{\dfrac{G \times M_{central}}{R + h} } = \sqrt{\dfrac{g \times R^2}{R + h} }[/tex]
Where;
v₀ = The orbital velocity of the satellite
Which by substitution gives;
[tex]v_0 = \sqrt{\dfrac{9.81 \times (6.371 \times 10^6)^2}{(6.371 + 0.3) \times 10^6} } = 7,725.8565[/tex]
The orbital velocity, v₀ = 7,725.8565 m/s.
When the net force on an object is zero, what do we know about the motion of that object
Answers
Answer:
The objects speed or motion does not change if the net force is 0.
Explanation: There basically doesn't have anything acting on it so it stays put.
Please answer ASAP!!!! Which statement describes the factors that affect the force of a spring?
A. The spring force depends on the spring constant, and increases as displacement
increases
B. The spring force only depends on the spring constant
C. The spring force gets weaker as displacement increases, and is in the same
direction as the displacement
D. The spring force depends on gravity and friction
Answers
Answer:
d
Explanation:
the spring depends on gravity and friction
Asha walks 15 m west, then 20 m north, then 15 m east. Calculate the distance and displacement
covered by Asha.(a) (Numbering problem)_
Answers
Answer:
Asha traveled a distance of 50 m
The displacement is 20 m north.
Explanation:
Distance and Displacement
A moving object constantly travels for some distances at defined periods of time. The total moved distance is the sum of each individual distance the object traveled. It can be written as:
dtotal=d1+d2+d3+...+dn
This sum is obtained independently of the direction the object moves.
The displacement only takes into consideration the initial and final positions of the object while moving. The displacement, unlike distance, is a vectorial magnitude and can even have magnitude zero if the object starts and ends the movement at the same point.
Asha walks 15 m west, 20 m north, and 15 m east. The total distance is
dt=15 m + 20 m + 15 m = 50 m
Asha traveled a distance of 50 m
Note the final position is 20 m above the initial position since she goes 15 m west and 15 m east. Thus the displacement is 20 m north.
The mass of an electron is A) equal to the mass of a proton B) less than the mass of a neutron C) greater than the mass of a proton D) equal to the mass of a neutron
Answers
Answer:
B
Explanation:
Atomic structure contains electrons, protons and neutrons.
Electron is very light compared to proton and neutrons.
Given that the mass of an electron is
A) equal to the mass of a proton
B) less than the mass of a neutron
C) greater than the mass of a proton
D) equal to the mass of a neutron
The correct answer is B which is less than the mass of the neurons.
If Earth orbited the Sun in 9 months instead of 12, then, compared with a sidereal day, a solar day would be
Answers
Answer:
longer
Explanation:
The relationship between the solar day and sidereal is as follows:
The length of the sidereal day is
= (Solar day) (solar year ÷ solar year + 1 day)
As it can be seen that the day i.e. solar its length would be greater as compared with the sidereal day.
In the case when the earn orbited the sun in 9 months rather than 12 so here the sidereal day would be the similar but the solar day would be longer as compared with the original one
A loudspeaker produces a sound wave of frequency 50hz.
The amplitude of sound wave is increased.
What is heard?
A) a louder sound of higher pitch.
B) a louder sound of the same pitch.
C) a sound of higher pitch but the same loudness.
D) a sound of the same pitch and loudness as before.
Answers
Here is your answer
Option A)
Explanation:
The larger the amplitude of the waves, the louder the sound. Pitch (frequency) – shown by the spacing of the waves displayed. The closer together the waves are, the higher the pitch of the sound.
Pls mark as brainliest
I need help with the questions when it says what is the topic and rest
Answers
If y is inversely proportional to x and y = 4 and x=10, find y when x = 20
Answers
Answer:
Y=8
Explanation:
Y=4
X=10
if x is 20 it means it is doubled frm the previous therefore it means even y has to be doubled
first. now
x=10. x=20
y=4. y=8
It takes a crane 59s to lift a flagstone using 342 W of power. How much work is done on the flagstone?
Answers
Answer: The work done on the flagstone is 20178 J
Explanation:
Power is the rate at which work is done . It is equal to the amount of work done divided by the time it takes to do the work.
[tex]Work=Power\times time[/tex]
Given : work = ?
Power = 342 W = 342J/s
Time = 59 s
[tex]Work=342J/s\times 59s=20178J[/tex]
Thus the work done on the flagstone is 20178 J
1. Photosynthesis is a chemical reaction that occurs inside green plant cells. Which sentence describes
one important energy conversion that occurs as a result of photosynthesis?
A. Light is converted to chemical energy.
B. Carbon dioxide is converted to light energy.
C. Oxygen is converted to chemical energy.
D. Chlorophyll is converted to light energy.
Answers
Answer:oxygen is converted to chemical energy
Explanation:
I got it right
A merry go round exerts a force of 1000 N on a rider on the
outer ring of animals when it takes 15 seconds to make a
complete revolution. If the person weighs 750 N, the radius
of the circle he is making is m. Round your answer to
the nearest tenth.
Answers
Answer:
The radius of the circle made by the person on the merry go round is 74.55 meters
Explanation:
The given parameters are;
The force the merry go round exerts on the rider = 1000 N
The time it takes the merry go round to make one complete revolution = 15 seconds
The weight of the person = 750 N
The radius of the circle made by the person on the merry go round = r
We have;
[tex]F_c = \dfrac{m \cdot v^2}{r} = m \cdot \omega ^2 \cdot r[/tex]
Where;
m = The mass of the person
v = The velocity of the person
[tex]F_c[/tex] = The centrifugal force acting on the person = 1,000 N
r = The radius of the circle made by the person on the merry go round
ω = Angular velocity = 2·π/15 rad/s
We have;
The mass of the person = The weight/(The acceleration due to gravity, g)
∴ The mass of the person = 750/9.81 ≈ 76.45 kg
By substituting the calculated and known values into the equation for the centripetal force, we have;
[tex]F_c[/tex] = m × ω² × r
1000 = 76.45 × (2·π/15)² × r
r = 1000/(76.45 × (2·π/15)²) = 74.55 m
The radius of the circle made by the person on the merry go round = r = 74.55 m.
The force of attraction between two oppositely charged pith is 5mx 10 to the -6th power newtons. If the charge on the two is 6.7 x 10 to the -9th power coulombs what is the distance between the two charges
Answers
Answer:
0.28 m
Explanation:
The following data were obtained from the question:
Force (F) = 5×10¯⁶ N
Charge 1 (q₁) = 6.7×10¯⁹ C
Charge 2 (q₂) = 6.7×10¯⁹ C
Electrical constant (K) = 9×10⁹ Nm²C¯²
Distance apart (r) =?
Thus, the distance between the two charges can be obtained as follow:
F = Kq₁q₂/r²
5×10¯⁶ = 9×10⁹ × 6.7×10¯⁹ × 6.7×10¯⁹/r²
5×10¯⁶ = 4.0401×10¯⁷ / r²
Cross multiply
5×10¯⁶ × r² = 4.0401×10¯⁷
Divide both side by 5×10¯⁶
r² = 4.0401×10¯⁷ / 5×10¯⁶
Take the square root of both side
r = √(4.0401×10¯⁷ / 5×10¯⁶)
r = 0.28 m
Therefore, the distance between the two charges is 0.28 m
A psychologist wants to identify how the holiday season impacts the anxiety levels of Americans. She wants to get results on the feelings of anxiety from over one million Americans in the next month. What design should she use and why?
Answers
Answer: survey
Explanation:
A survey can be an interview or a questionnaire which is given to a particular group in order to know their characteristics or opinions, towards certain issues.
Since the psychologist wants to get results on the feelings of anxiety from over one million Americans in the next month, the survey should be used.
Choose the answer that is most descriptive of the Solar System. Sun, planets, moons, asteroids, comets Nebulas, star clusters, super nova, black holes, binary stars Jupiter, Neptune, Saturn, Uranus, dwarf planets Jupiter, Great Red Spot, 8 regular moons, ±58 irregular moons
Answers
Answer:
The correct option is;
Sun, planets, moons, asteroids, comets
Explanation:
The Solar System consists of the system of celestial bodies bound gravitationally to the Sun, which includes the 8 regular planets, 2 dwarf planets, 796, 354 known minor planets, 4,143 comets, moons, which are natural satellites, an asteroid belt, which consists of a belt of rock and metal containing celestial bodies moving in a belt round the Sun
When two ocean plates come together, one ocean plate __________________
under the other, causing a chain of ________________ __________________
to form.
Answers
Answer:
A subduction zone is also generated when two oceanic plates collide — the older plate is forced under the younger one — and it leads to the formation of chains of volcanic islands known as island arcs.
Explanation:
By what process are surface materials removed and transported from one location to another?
O erosion
O cementation
O weathering
O deposition
Answers
A car weighing 19600N is moving with a speed of 30 m/sec on a level road. If it is brought to rest in a distance of 100 m. Find the average distance friction force acting on it
Answers
Answer:
F = -8820 N
Explanation:
Given that,
The weight of a car, W = 19600 N
Initial speed of the car, u = 30 m/s
It is brought to rest, final velocity, v = 0
Distance, d = 100 m
We need to find the average friction force acting on it.
Firstly we find the acceleration of the car using third equation of motion. Let it is a.
[tex]v^2-u^2=2as\\\\a=\dfrac{v^2-u^2}{2d}\\\\a=\dfrac{(0)^2-(30)^2}{2\times 100}\\\\=-4.5\ m/s^2[/tex]
Average frictional force,
F = ma
m is mass, [tex]m=\dfrac{W}{g}=\dfrac{19600\ N}{10\ m/s^2}=1960\ kg[/tex]
F = 1960 kg × -4.5 m/s²
= -8820 N
So, the average friction force acting on it is 8820 N.
Two skaters A and B. having masses 50 kg and
70 kg respectively, stand facing each other 6 m
apart on a horizontal smooth surface. They pull
on a rope stretched between them. How far does
each move before they meet?
(A) both move 3 m
(B) A moves 2.5 m and B moves 3.5 m
(C) A moves 3.5 m and B moves 2.5 m
(D) both move 4 m
(E) none of the above
Answers
Answer:
Explanation:
Hell im good dude
A(n) ____________ stretch is one done where antagonist muscles are used to stretch the muscles. But the _____________ stretch is one that is done that the muscle needs help from something or someone to stretch the muscle.
Answers
Answer: Dynamic - Static Flexibility
Explanation: