The person walks 1 km east, 3 km south, and then 1 km west.
This can be represented in the diagram as follows:
The total distance traveled is 1 +3+ 1 = 5km
The total displacement from the starting position is 3 km in the south direction.
If three forces F1 = 20N, 300NE, F2 = 50N along W, F3 = 40N 500NW act on a body. Find the resultant in magnitude and direction.
Answer:
110N north west
Explanation:
.........
If three forces F1 = 20N, 300NE, F2 = 50N along W, F3 = 40N 500NW act on a body. The resultant in magnitude and direction is 110N north west
What are the types of force ?Force is a quantitative parameter and it is an interaction between two physical bodies such as an object and its environment, there are different types of forces in nature.
it can be defined as pushing or pulling of any object resulting from the object’s interaction or movement, without force the objects can not move
If an object in moving state the it will be either static or motion, the position of the object will only be changed if it is pushed or pulled and The external push or pull upon the object called as Force.
The contact force types are Spring Force, Applied Force, Air Resistance Force, Normal Force, Tension Force, Frictional Force
Non-Contact forces are occur from a distance such as Electromagnetic Force, Gravitational Force, Nuclear Force
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A biologist studies a species of bacteria called FAST. Her research reveals that FAST bacteria reproduce prodigiously. If a bacteria culture contains 10 FAST bacteria at time t = 0, the number of FAST bacteria in the culture at later time t is N(t) = 10+6t+2t^2where t is expressed in seconds.
A) How many FAST bacteria occupy the culture at time t = 10 s? At time t = 11 s? From these answers, calculate how many net bacteria were born during the interval between t = 10 and t = 11 s. Assume no bacteria died.
B) Now use calculus to find the birth rate of bacteria (the rate at which new bacteria get born) at time t = 10 s. It may help you to sketch a rough graph of N vs. t.
C) Explain, conceptually, why your answers to part (a) and (b) are close but not exactly the same.
270 FAST bacteria occupy the culture at time t = 10 s and 318 FAST bacteria occupy the culture at time t = 11 s.
Define FAST bacteria.
A group of bacteria with the property of acid fastness is referred to as acid-fast bacteria, sometimes known as acid-fast bacilli or simply AFB. A bacterium's capacity to withstand acid decolorization during staining methods is known as acid fastness.
Mycobacteria's high mycolic acid concentration, which causes the staining pattern of poor absorption followed by significant retention, is what makes them acid-fast.
At t = 10 s
N(t) = 10+6t+2t^2
N(t) = 10 +6*10 + 2*10*10
= 270
At t = 11s
N(t) = 10+6*11+2*11*11
= 318
Difference between two will be 318 - 270 = 48
Rate of bacterial growth will be (270-10/270) *100%
i.e. 96.2%
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A train car has a mass of 10000 kg and is moving at +3.0 m/s
Answer:
1.5
Explanation:
What is the frequency of a wave if its wavelength is 5 m and its speed is 20 m/s?.
Answer:
v=fy
Explanation:
v=fy
v= speed of light
f=frequency
y=wave lenght
make f subject of formula in this case
v=fy
f=v/y
f=20/5
f=4Hz
Grade 11 Physics Help
Answer: 2a- 0.4167s
Explanation:
Given: distance= 5m, speed= 12m/s
Unknown: time
Equation: t= d/s
Substitution: t=5/12
t=0.4167s
What essential nutrient is so important and makes up approximately 80% of the body.
Protein
it's the main component of muscles, bones, organs ext.
Why does the globe lean to the left?
A.
Earth rotates on its axis.
B.
Earth rotates around the sun.
C.
Earth is on a tilted axis.
D.
Earth is on a vertical axis
PLEASE HURRY
Answer:
Earth is on a tilted axis.
Explanation:
A wheel rotating with a constant angular acceleration turns through 19 revolutions during a 3 s time interval. Its angular velocity at the end of this interval is 18 rad/s. What is the angular acceleration of the wheel? Note that the initial angular velocity is not zero. Answer in units of rad/s 2 .
Answer:
The magnitude of the angular acceleration of the wheel is 14.53 rad/s².
Explanation:
The angular acceleration can be found by using the following equation:
\( \omega_{f}^{2} = \omega_{0}^{2} + 2\alpha \Delta \theta \) (1)
Where:
\( \omega_{f}\): is the final angular velocity = 18 rad/s
\(\omega_{0}\): is the initial angular velocity
α: is the angular acceleration =?
Δθ = 19 rev*(2π/1 rev) = 119.4 rad
The initial angular velocity can be found knowing that the wheel turns through 19 revolutions during a 3 s time interval:
\( \omega_{f} = \omega_{0} + \alpha t \)
Where:
t: is the time = 3 s
By solving the above equation for ω₀ we have:
\( \omega_{0} = \omega_{f} - \alpha t \) (2)
Now, by entering equation (2) into (1) we have:
\( \omega_{f}^{2} = (\omega_{f} - \alpha t)^{2} + 2\alpha \Delta \theta \)
\( \omega_{f}^{2} = \omega_{f}^{2} - 2\omega_{f} \alpha t + (\alpha t)^{2} + 2\alpha \Delta \theta \)
\((9\alpha)^{2} + 130.8 \alpha = 0\)
By solving the above equation for "α" we have:
α = -14.53
The minus sign means that the wheel is decelerating.
Hence, the angular acceleration of the wheel is -14.53 rad/s².
I hope it helps you!
As shown in the diagram below, a rope attached to a 500.-kilogram crate is used to exert a force of 45 newtons at an angle of 65 degrees above the horizontal 45 N at an angle of 65 degrees above the horizontal.
500 kg
The horizontal component of the force acting on the crate is?
Answer:
19.01 N
Explanation:
F = Force being applied to the crate = 45 N
\(\theta\) = Angle at which the force is being applied = \(65^{\circ}\)
Horizontal component of force is given by
\(F_x=F\cos\theta\\\Rightarrow F_x=45\times \cos65^{\circ}\\\Rightarrow F_x=19.01\ \text{N}\)
The horizontal component of the force acting on the crate is 19.01 N.
Starting at rest at the top of a ski slope, you travel down the hill reaching a velocity of 20 m/s after 13 seconds. Once you reach the bottom of the hill you travel at a constant velocity of 20 m/s for the next 7 seconds. Sketch a quantitative (with numbers) position vs time, velocity vs time, and acceleration vs time graph of the skier's motion. PLEASE SHOW WORK AND I WILL MARK YOU THE BRAINLIEST
Answer:
The graphs are attached
Explanation:
We are told that he started at rest at rest and travelled down the hill reaching a velocity of 20 m/s after 13 seconds.
Acceleration is gotten from;
v = u + at
a = (v - u)/t
a = (20 - 0)/13
a = 20/13 m/s² or 1.54 m/s²
Distance in this period is gotten from;
v² = u² + 2as
s = (v² - u²)/2s
s = (20² - 0²)/(2 × 20/13)
s = 400/(40/13)
s = 130 m
We are told that after reaching the bottom of the hill, he travelled at a constant velocity of 20 m/s for the next 7 seconds.
At constant velocity, acceleration is 0.
Thus,distance in this period is;
s1 = vt = 20 × 7 = 140 m
I've attached the graphs
A car decelerates from 36 meters per second to 12 meters per second. The constant rate of deceleration is 12 meters per second per second. How long did it take for the car to decelerate?
HEPLYWhy does water make a shirt darker??
Firstly, the fibers that constitute a shirt are usually transparent. Shirt materials are mostly transparent and reflect slightly light rays that interact with its surface. It is most likely for all the light to be
reflected, the light that gets to the lower layers of the fibers is also reflected.
Spilling water on your shirts blocks the pore spaces of the shirt where air usually resides. This singular act c
feminine of mouse
please let me know
Answer:
a Doe
A baby mouse is called a 'pinky', a male is called a 'buck' and a female is called a 'doe'.
(hope that helped)
A toy car is given an initial velocity of 5.0 m/s and experiences a constant acceleration of 2.0 m/s.
What is the final velocity after 8.0
band of tissue in the body
that contracts and helps to
produce movement
Answer:
Muscle Tissue
Explanation:
Sorry if I'm wrong
. Calculate the escape velocity for an atmospheric particle 1600 Km above the earth’s
surface, given that radius of the earth is 6400 km and acceleration due to gravity on the
surface of the earth is 9.8 m/s2
.
The escape velocity (Ve) which is required by the particle to escape the gravitational field of the Earth is 110.87 × 10³ km/sec.
What is Escape velocity?Escape velocity is the minimum velocity that a moving body such as a rocket must possess to escape from the gravitational field of a celestial body like the Earth and move outward into space.
Particle is above the surface of Earth (r) = 1600 km = 16 × 10⁵m
Radius of Earth (Re) = 6400 km = 64 × 10⁵m
Acceleration due to gravity (g) = 9.8m/s²
To find the value of escape velocity (Ve),
We know,
Ve = √2 gR
Ve = √2 g (Re + r)
Ve = √2 g (64 + 16) × 10⁵
Ve = √2 × 9.8 × 80 × 10⁵
Ve = 1108.743 × 10⁵
Ve = 110.8743 × 10⁶
Ve = 110.87 × 10³ km/sec.
Therefore, the escape velocity (Ve) is 110.87 × 10³ km/sec.
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If you pull with a constant force of 400n , how much mechanical work does it take to pull pinball launcher back 0.2meters
If you pull with a constant force of 400 N for 0.2 meters, then the work done will be equal to 80 J.
What is Work?In physics, the word "work" involves the measurement of energy transfer that takes place when an item is moved over a range by an externally applied, at least a portion of which is applied within the direction of the displacement.
The length of the path is multiplied by the element of a force acting all along the path to calculate work if the force is constant. The work W is theoretically equivalent towards the force f times the length d, or W = fd, to portray this concept.
As per the given information in the question,
Force, f = 400 N
Displacement, d = 0.2 meters
\(Work done(W)=Force(f)*Displacement(d)\)
W = 400 × 0.2
W = 80 J.
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Nowton's third law refers to 'action reaction forces*. These forces are
always:
equal in magnitude but opposite in direction
A 5 kg ball is moving at a velocity of +2 m/s when it
speeds up to +5 m/s in 7 seconds.
Calculate the acceleration.
Heya!!
For calculate aceleration, lets applicate formula:
\(\boxed{a=\frac{V-V_o}{t} }\)
Δ Being Δ
V = Final Velocity = 5 m/s
Vo = Initial Velocity = 2 m/s
a = Aceleration = ? m/s²
t = Time = 7 s
⇒ Let's replace according the formula:
\(\boxed{a=\frac{5\ m/s - 2 \ m/s}{7\ s} }\)
⇒ Resolving
\(\boxed{ a=0,428\ m/s^{2}}\)
Result:
The aceleration of the object is 0,428 m/s²
Good Luck!!
Answer:
Ksasdasd
Explanation:
How does the release of energy during fusion provide evidence of mass-energy equivalence?
The release of energy during fusion because the mass of the resulting single nucleus is smaller than the combined mass of the two initial nuclei, the process produces energy. Remaining mass is converted to energy.
what is Nuclear fusion?
A reaction known as nuclear fusion occurs when two or more atomic nuclei fuse to create new atomic and subatomic particles.
Mass energy equivalence describes the relation between mass and energy when system is in rest frame. According to Einstein's equation, mass and energy can be transformed into one another (E=mc2).
when energy is lost the mass of the system will also decrease in proportion. The energy and mass can be discharged into the environment as heat energy or radiant energy like light.
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This means that the release of energy from a nuclear reaction creates enough of a mass difference to be measured.
Mass-Energy EquivalenceAccording to mass-energy equivalence, mass is merely concentrated energy. The formula E=mc2 was created by Albert Einstein for his special relativity theory. Mass contains a huge quantity of energy. The energy in a 20g marble is equivalent to a 500 kiloton hydrogen bomb, but it is incredibly difficult to unleash. When matter and antimatter come together, a process known as matter-antimatter annihilation, it can be liberated. Because of the changes in mass, it is evident why nuclear processes produce so much more energy than chemical ones.To learn more about Mass-Energy Equivalence refer:
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A satellite is in orbit 3.117106 m from the center of Earth. The mass of Earth is 5.9821024 kg. Calculate the orbital
period of the satellite.
Answer:
T = 1733.16 s = 28.88 min
Explanation:
The orbital velocity of a satellite about Earth is given as follows:
\(v = \sqrt{\frac{GM}{R}}\)
where,
v = orbital speed = ?
G = Gravitational Constant = 6.67 x 10⁻¹¹ Nm²/kg²
M = Mass of Earth = 5.982 x 10²⁴ kg
R = Orbit Radius = 3.117 x 10⁶ m
Therefore,
\(v = \sqrt{\frac{(6.67\ x\ 10^{-11}\ Nm^{2}/kg^{2})(5.982\ x\ 10^{24}\ kg)}{(3.117\ x\ 10^{6}\ m)}}\\\\v = 11.3\ x\ 10^{3}\ m/s\)
but the velocity is given as:
\(v = \frac{distance}{time}\)
for distance = circumference = 2πR
time = time period = T = ?
Therefore,
\(11.3\ x\ 10^{3}\ m/s = \frac{2\pi(3.117\ x\ 10^{6}\ m)}{T}\\\\T = \frac{2\pi(3.117\ x\ 10^{6}\ m)}{11.3\ x\ 10^{3}\ m/s}\\\\\)
T = 1733.16 s = 28.88 min
How much would a 10 kg suitcase weigh on the surface of…?
An airbys A380 airliner lands at 30 m/s. Partially loaded, its mass is 480000 kg. The engines apply reverse thrust for 12s to slow the plane to 25 m/s.How much thrust did the engines apply?
To determine the thrust applied by the engines, we can use Newton's second law of motion, which states that force (thrust) is equal to mass times acceleration. In this case, we need to calculate the force required to decelerate the plane from 30 m/s to 25 m/s in 12 seconds.
First, we calculate the change in velocity (∆v):
\(\displaystyle\sf \Delta v=25\,m/s-30\,m/s=-5\,m/s\)
Next, we calculate the acceleration (∆a) using the formula:
\(\displaystyle\sf \Delta a=\frac{\Delta v}{\Delta t}\)
where ∆t is the change in time, which is 12 seconds in this case.
\(\displaystyle\sf \Delta a=\frac{-5\,m/s}{12\,s}\)
Now, we can determine the force (thrust) applied by the engines using Newton's second law:
\(\displaystyle\sf F=m\cdot a\)
where m is the mass of the airplane, which is 480000 kg.
\(\displaystyle\sf F=480000\,kg\cdot \left(\frac{-5\,m/s}{12\,s}\right)\)
Calculating the result:
\(\displaystyle\sf F=-200000\,N\)
Therefore, the engines applied a thrust of -200000 Newtons (N) to decelerate the plane. The negative sign indicates that the thrust is in the opposite direction of the motion.
Problem B.2: Escaping a Star (6 Points) It takes many years for a photon produced in a star's centre to reach its surface and escape into space. This is due to its constant interaction with other particles. To estimate the time it takes for a photon to escape a star's interior, we assume that the photon is deflected in equal time intervals into a random direction in a two-dimensional space (i.e., a random walk): At each step i, the photon moves a constant distance in an angle, thus changing its position: cos(4) sin(y) Ai, - c (a) Determine the distance R(n) from the centre (0,0) after n steps.
Answer:
This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.
The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.
The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).
The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:
R(n) = √(X² + Y²)
Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.
However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:
<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2
<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2
Because <X²> = <Y²>, we can write:
<R²> = <X²> + <Y²> = n A²
So, the root mean square distance (the square root of the mean square displacement) after n steps is:
R(n) = √(<R²>) = √(n) * A
Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.
andrew returns to the top of the hill and starts again
his mass is 67kg.
calculate his momentum when his velocity is 31 m/s
As a result, when Andrew is moving at a speed of 31 m/s, his momentum is 2077 kg*m/s.
What is the kinetic energy equation?Kinetic energy has the following formula: K.E. = 1/2 m v2, where m is the object's mass and v is its square velocity. The kinetic energy is measured in kilogrammes-meters squared per second squared if the mass is measured in kilogrammes and the velocity is measured in metres per second.
An object's mass (m) and velocity (v) can be multiplied to find its momentum (p), which is written as:
p = m * v
Given that Andrew's mass is 67 kg and his velocity is 31 m/s, his momentum can be calculated as:
p = 67 kg * 31 m/s
p = 2077 kg*m/s
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Question:
Andrew is riding his bike up a hill. At some point, he stops and rests at the top of the hill. He then turns around and starts riding down the hill. When he reaches a velocity of 31 m/s, calculate his momentum. Andrew's mass is 67 kg.
find the image of (4 "-1)" obtained by translating 4 units up followed by a reflection over the y-axis
Answer:(-4,3)
Explanation: They didn’t show the whole graph so it looks confusing but it’s not.
I need help with part B plsss !!
The time taken for the object to travel the given height is determined as 12.48 seconds.
What is time of motion?
Time of motion of an object is the total time taken by the object to travel a given height or distance.
Time taken for the boulder to reach the groundThe time of motion of the boulder is calculated as follows;
h = vt + ¹/₂gt²
where;
h is the height of fallv is the initial velocityt is the time of motiong is acceleration due to gravity1300 = 43t + 0.5(9.8)t²
1300 = 43t + 4.9t²
4.9t² + 43t - 1300 = 0
solve the quadratic equation using formula method as shown below;
a = 4.9, b = 43, c = -1300
t = 12.48 seconds
Thus, the time taken for the object to travel the given height is determined as 12.48 seconds.
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If an object is placed 15cm in of front of a concave mirror of radius Curvature 20cm. Determine the position of the image formed
The image will be formed at a distance of 30 cm in its front. Hence, this is the required solution.
Given that,
Object distance, u = -15 cm
The radius of curvature of the concave mirror, R = 20 cm
Focal length, f = R/2 = -10 cm (negative for concave mirror)
Let v is the distance between mirror and the formed image. Using mirror's formula to find it as :
\($\frac{1}{u}+\frac{1}{v}=\frac{1}{f}$\)
\($\frac{1}{v}=\frac{1}{f}-\frac{1}{u}$\)
\($\frac{1}{v}=\frac{1}{(-10)}-\frac{1}{(-15)}$\)
\($v=-30 \mathrm{~cm}$\)
So, the image will be formed at a distance of 30 cm in its front. Hence, this is the required solution.
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1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?
1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point , the heat of fusion of the substance is 548 joules .
What is heat of fusion ?Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.
Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.
q = m×∆Hf
q: Total change in heat energy (in Joules)
∆Hf: Heat of fusion of substance (in Joules per gram)
m: Mass of substance (in grams)
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a ball is thrown straight up into the air with an initial speed of 3.1 m/s. a. After 0.24 seconds what is the ball's velocity and b. what is it's acceleration?
a. The ball's velocity after 0.24 s is 0.75 m/s
b. The acceleration of the ball is given by the acceleration due to gravity
a. The ball's velocity can be calculated with the following equation:
\( v_{f} = v_{0} - gt \)
Where:
\( v_{f} \): is the final speed =?
\(v_{0}\): is the initial speed = 3.1 m/s
g: is the acceleration due to gravity = 9.81 m/s²
t: is the time = 0.24 s
The minus sign is because the acceleration is in the opposite direction (downward) of the motion of the ball (upward).
The final speed is:
\( v_{f} = v_{0} - gt = 3.1 m/s - 9.81 m/s^{2}*0.24 s = 0.75 m/s \)
Hence, the ball's velocity after 0.24 s is 0.75 m/s.
b. The acceleration of the ball is given by the acceleration due to gravity because the ball is thrown straight up (the motion of the ball is in the y-direction). The velocity of the ball in the x-direction is zero so the acceleration in the same direction is also zero.
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