A student starts at position (4,4) m and undergoes three displacements:
d1 = (2, -3) m, d2 = (-5, 0) m, and d3 = (1, 6) m.
What is the final position of the student? Show your solution graphically and numerically.
please help!!
Answer:
The final position is (2, 7)m
Explanation:
When we work with coordinate pairs, the addition works as:
(a, b) + (c, d) = (a + c, b + d)
So, for example, if we start at (a, b), and we have a displacement d = (1, 1)
we just need to solve:
(a, b) + (1, 1) = (a + 1, b + 1)
Now, in this case, we start at (4, 4)m
first, we have d1 = (2, -3) m
After this displacement, the position is:
(4, 4)m + (2, -3)m = (4 + 2, 4 - 3)m = (6, 1)m
Now we have a displacement d2 = (-5, 0) m
After this, the position is:
(6, 1)m + (-5, 0)m = (6 -5, 1 + 0)m = (1, 1)m
After this, we have the final displacement d3 = (1, 6) m, so the final position will be:
(1, 1)m + (1, 6)m = (1 + 1, 1 + 6)m = (2, 7)m
Below you can see a rough sketch of the path that the student take, where he/she starts at point A.
4. Alcohol of mass 21g and density 0.7gcm-3 is mixed with 10g of water. Determine the density
of the mixture. (density of water = 1.0g cm-3)
Answer:
The density of the mixture is 0.775 g/cm³
Explanation:
The given parameters are;
The mass of the alcohol, m₁ = 21 g
The density of the alcohol, ρ₁ = 0.7 g/cm³
The mass of the water with which the alcohol is mixed, m₂ = 10 g
The density of wate, ρ₂ = 1.0 g/cm³
The density of a substance is given by the ratio of the mass to the volume of the substance
The density of the mixture, ρ is given as follows;
[tex]\rho = \dfrac{m_1 + m_2}{\dfrac{m_1}{\rho_1} + \dfrac{m_2}{\rho_2} }[/tex]
Therefore;
[tex]\rho = \dfrac{21 + 10}{\dfrac{21}{0.7} + \dfrac{10}{1.0} } = 0.775[/tex]
The density of the mixture, ρ = 0.775 g/cm³.
A car travelling at 30 ms' decelerates
to 10 m sin a distance of 20 m. What
is the deceleration of the motion, in m
s?
Answer:
V²=U² + 2as
Where V=Final Velocity
U=Initial Velocity
a=acceleration ( Deceleration in this case)
s=distance covered
10² = 30² + 2(a)(20)
100 = 900 + 40a
100 - 900 = 40a
-800=40a
a= -800/40
a= -20ms-².
Its negative because the car Decelerated.
An object is sitting on the floor. A 22.4 N force is pulling the object to the right and an 11 N force is pulling the object to the left. The gravitational force on the object is 70 N. What is the net force?
answer = 33.4 net force.
What is measurement ?
Answer:
Measurement is the value of the size or extent of something or someone.
Explanation:
Answer:
Measurement is the act of determining a target's size, length, weight, capacity, or other aspect.
a wooden block of mass 2kg is 20cm thick ,10cm wide and 30cm tall
A, calculate the minimum pressure
B, the maximum pressure the block exert on the surface
Answer:
A.33333.3N/M2
B.100000N/M2
Explanation:
HAVE A NICE DAY ;]
The formula is [tex]\frac{Newton}{Meter^{2} }[/tex]
10 Newton=1 kilogram
You throw a water balloon straight up with a velocity of 13 m/s. What is its
maximum height?
O A. 4.4 m
B. 6.3 m
C. 10.7 m
D. 8.6 m
Answer:
Explanation:
[tex]h=-v^2 /2g[/tex]
[tex]with\\g = 9,8 m/s^2 or 10 m/s^2[/tex]
[tex]h= (-13)^2 / 2 * 9,8 = 8,6[/tex]
A exerted by an object on another is a force
hope this helps
Answer:
If a person is pushing a desk across the room, then there is an applied force acting upon the object. The applied force is the force exerted on the desk by the person.
a sphere of mass 5kg and volume 2×10-5completely immersed in water find the buoyant force exerted water
Answer:
Buoyant force exerted water = 0.196 Newton
Explanation:
Given:
Mass of sphere ball = 5 kg
Volume = 2 x 10⁻⁵
Find:
Buoyant force exerted water
Computation:
Buoyant force exerted water = Gravity due to acceleration x volume of object x density of given liquid
Buoyant force exerted water = 9.8 x 2 x 10⁻⁵ x 1000
Buoyant force exerted water = 0.196 Newton
At the local grocery store, you push a 14.5-kg shopping cart. You stop for a moment to add a bag of dog food to your cart. With a force of 12.0 N you now accelerate the cart from rest through a distance of 2.29 m in 3.00 s. What was the mass of the dog food?
Answer:
The mass of the dog food added is 9.03 kg
Explanation:
Given;
mass of the shopping cart, m₁ = 14.5 kg
let the mass of the bag added = m₂
the force applied, F = 12 N
initial velocity of the cart-bag system, u = 0
distance traveled by the system, d = 2.29 m
time of motion of the system, t = 3.0 s
The acceleration of the system is calculated as;
[tex]d = ut + \frac{1}{2} at^2\\\\2.29 = 0 + (\frac{1}{2} \times 3^2)a\\\\2.29 = 4.5 a\\\\a = \frac{2.29}{4.5} \\\\a = 0.51 \ m/s^2[/tex]
The total mass of the system (M) is calculated as follows;
F = Ma
M = F/a
M = (12)/(0.51)
M = 23.53 kg
The mass of the dog food added is calculated as;
m₂ = M - m₁
m₂ = 23.53 kg - 14.5 kg
m₂ = 9.03 kg
which type of material is the best sound absorber?
a. glass
b. wood
c. concrete
d. carpet
Explanation:
Glass is the best sound absorber material.
Which statement about momentum is false? a. Momentum is a force b. Momentum may be transferred c. Momentum is always conserved d. Momentum is a property only of moving objects
Answer:
So, option(a).
Explanation:
Momentum is the measure of motion of the object.
Momentum is given by the product of mass and the velocity of the object.
(a) It is false.
(b) It is true, momentum is transferred.
(c) It is true, As the momentum of the system is conserved when no external force is applied on the system.
(d) It is true, as the momentum is associated with the velocity of the object.
what is time write its SI unit
What is the ratio of surface area to volume for a sphere with the following measurements?
surface are=432m^2
volume=864m^3
Answer:
S:V = 1 : 2
Explanation:
Given the following data;
Surface area, S = 432 m²
Volume, V = 864 m³
To find the ratio of surface area to volume for a sphere;
The ratio of two or more numbers are determined by reducing the numbers to their nearest minimum i.e dividing all through by the same or common number.
S:V = 432 : 864
Dividing both sides by 432, we have;
S:V = 432/432 : 864/432
S:V = 1 : 2
A -0.00125 C charge is placed 3.62 m from a +0.00333 C charge. What is the magnitude of the electric force between them?
Answer:
The magnitude of the force between the charges is approximately -2,858.77 N
Explanation:
The given details are;
The magnitude of the given charges;
q₁ = -0.00125 C, q₂ = +0.00333 C
The distance between the charges, r = 3.62 m
The magnitude of the electric force between the charges, 'F', between two charged particles or objects is given as follows;
[tex]F = \dfrac{k \cdot q_1 \cdot q_2}{r^2}[/tex]
Where;
k = Constant = 9 × 10⁹ N·m²/C²
q₁ = The magnitude of charge on the first charged object = -0.00125 C
q₂ = The magnitude of charge on the second charged object = +0.00333 C
r = The distance between the charges = 3.62 m
Plugging in the values, gives;
[tex]F = \dfrac{9 \times 10^9 \ \dfrac{N \cdot m^2}{C^2} \times (-0.00125 \, C) \times (+0.00333 \, C)}{\left( 3.62 \, m \right)^2} \approx -2,858.77 \, N[/tex]
The magnitude of the force between the charges, F ≈ -2,858.77 N
100 Pascal is equal to:
A) 100 Newton B) 1000N/m2 C) 100N/m2 D) 10,000N/m2 E) None of these
Answer: Choice C) 100 N/m^2
=======================================================
Work Shown:
1 pascal = 1 N/m^2
100 pascals = 100 N/m^2
''Hydropower is also the product of solar energy''. clarify this statement
Answer:
well, hydropower is using fast-running water as a source of power to power machines or produce electricity, and using water can help make the earth a little cleaner, just like solar energy (energy from the sun). instead of using things like coal, oil, gas which is bad for the earth
Explanation:
Helpppp!!!
You are sitting on a dock watching water waves as they pass. you noticed at 5 waves to pass by certain spot every 20 seconds you also noticed at the crest of the water line up exactly with two points that are 6 m apart.
A) what is the frequency of these waves?
B)what is the wavelength of the waves described above?
C) what is the velocity of the waves from where u are watching?
Please show ur workkkkk
Answer:
A) 0.25 Hz
B) 6 m
C) 1.5 m/s
Explanation:
The number of waves that pass a certain spot every 20 seconds = 5 waves
The distance between the crest = 6 m
A) The frequency of the wave, f = The number of cycles per second = 5/20 = 0.25 per second = 0.25 Hz
B) The wavelength of the wave, λ = The distance between crests = 6 m
C) The velocity of the wave, v = f × λ = 0.25/s × 6 m = 1.5 m/s.
If a girl is running along a straight road with a uniform velocity 1.5 m/s, find her
acceleration in numerical type
Answer:
Explanation:
The definition of acceleration is the change in velocity over a period of time. If the girl's velocity is constant, that means it's not changing. Therefore, acceleration is 0 m/s/s
what is the difference between acceleration due to gravity and gravitational force?
Answer:
Gravity.” or “Gravity causes the moon to orbit the earth.” “Acceleration due to gravity” is much more precise. It is the acceleration that an object experiences when it is dropped with no other external forces on it. ... Near the surface of the earth the acceleration due to gravity is about 9.8
Answer:
Acceleration due to gravity is the rate of change in velocity of a body under the influence of gravitational fields while gravitational force is the force of one newton experinced by a body of 1 kg mass placed in gravitational fields.
Why is the time period of a charged particle in a uniform magnetic field independent of velocity??
Answer:
time period is independent of K.E of particle, it is inversely proportional to specific charge of the particle and it is independent of angle between velocity and magnetic field
Questlon 20 of 20 Which change to an object would quadruple its kinetic energy?
A. Reducing its mass to one-half of its original value
B. Increasing its velocitato twice its original value
C. Reducing its velocity to one-half of its original value O
D. Increasing its mass to twice its original value
Answer:Whenever the velocity of the object increases or usually doubles, the kinetic energy will be quadrupled. If in case you are not familiar with kinetic energy, this is known as the type of energy that is in motion. The greater the mass of the object, the greater the total of the energy
Explanation:
Change to an object would quadruple its kinetic energy Increasing its velocity to twice its original value
What is kinetic energy?
In physics, the kinetic energy of an object is the energy that it possesses due to its motion. It is defined as the work needed to accelerate a body of a given mass from rest to its stated velocity. Having gained this energy during its acceleration, the body maintains this kinetic energy unless its speed changes. The same amount of work is done by the body when decelerating from its current speed to a state of rest. Formally, kinetic energy is any term in a system's Lagrangian which includes a derivative concerning time.
In classical mechanics, the kinetic energy of a non-rotating object of mass m traveling at a speed v is [tex]{\textstyle {\frac {1}{2}}mv^{2}}[/tex]
In relativistic mechanics, this is a good approximation only when v is much less than the speed of light.
The standard unit of kinetic energy is the joule, while the English unit of kinetic energy is the foot-pound.
Learn more about kinetic energy
https://brainly.com/question/12337396
#SPJ2
say I have two rocks of different sizes but are taken from the same rock. Will their density be equalvilent
yes their density are equal
HELPPP THIS IS IMPORTANT NOWW OMGG HELPPPP PLEASEE
Answer:
The correct answer is -
19 - C) parasitism
20- B) commensalism
Explanation:
Parasitism is a type of symbiotic relationship among two different organisms where one is benefited and the other is harmed. The harmed organism known as the host and the benefitted organism called the parasite. For instance, tapeworms are parasites in the human body.
Commensalism is also a symbiotic relationship but in this relationship, one symbiont is benefitted but another one neither benefitted nor harmed. For instance, Hermit crabs use the shells of dead snails for homes.
accord and a track have the same speed of 30 metre per second if their masses are in the ratio of 1 is to 3 find the ratio of the Kinetic energies
Answer:
The ratio of kinetic energy of accord to the truck is 1 : 3.
Explanation:
Speed, v = 30 m/s
Ratio of mass of accord to truck = 1 : 3
The kinetic energy is given by
[tex]K = 0.5 mv^2[/tex]
As the speed is same so the ratio of the kinetic energies is same as the ratio of masses.
[tex]\frac{K_{accord}}{K_{Trcuk}} =\frac{m_{accord}}{m_{Trcuk}}\\\\\frac{K_{accord}}{K_{Trcuk}} = \frac{1}{3}[/tex]
Two tuning forks, 492 Hz and 498 Hz, are struck simultaneously. How many beats will be heard?
none
2.00 beats
4.00 beats
6.00 beats
Answer:
6 beats
If one fork beats once and another twice in the same time period
you would hear 1 beat. (Same for 2 and 3 beats).
DO U KNOW CARRYMINATI
interconversion of states of matter
Explanation:
hope it helpss.............
Answer:
interconversion of matter refers to change of one state to another. it is a process by which matter changes from one state to another back to its original State without any change in its chemical composition
calculate:An elcetric lamp is rated 240V and 40W. What is the cost of running the lamp for 62 hours if the elctricity authorities charges #2.50k per KWH
Answer:
Total cost = #6.2
Explanation:
Given the following data;
Voltage = 240 V
Power = 40 W
Time = 62 hours
Cost = #2.50
To find the cost of running the lamp for 62 hours;
First of all, we would determine the energy consumption of the electric lamp
Energy consumption = power * time
Energy consumption = 40 * 62
Energy consumption = 2480 Watt-hour = 2.48 Kwh (1 Kilowatts is equal to 1000 watts).
Next, we would determine the cost of running the lamp;
Total cost = energy consumption * cost
Total cost = 2.48 * 2.50
Total cost = #6.2
Acircuit consist of three resistor in series one of 3 ohm, one of 7 ohm , one of 10 ohm battery of emf 12volt and neglible internal resistance is connected circuit what is size of circuit supply
Answer:
0.6 A
Explanation:
Applying,
I = E/(R'+r).................... Equation 1
Where I = curent or circuit supply, R'= equivalent external resistance, r = internal resistance.
From the question,
Given: E = 12 Volt,
IF the three resistors are connected in series, R' = (3+7+10) ohm = 20 ohm,
r = neglible.
Substitute these values into equation 1
I = 12/(20)
I = 0.6 A