Answer:
[tex]P=203.3819375kg.m/s\\P\approx203.4kg.m/s[/tex]
[tex]\theta=6.4541\textdegree North East\\\theta\approx6.5\textdegree North East[/tex]
Explanation:
From the question we are told that
Mass of first jogger [tex]M=69kg[/tex]
Speed[tex]v_1=1.6m/s[/tex]
Direction [tex]d= East[/tex]
Mass of 2nd jogger [tex]M=63kg[/tex]
Speed [tex]v_2=1.5m/s[/tex]
Direction [tex]d= 14\textdegree north[/tex]
Generally equation for momentum along the the horizontal is mathematically given as
[tex]P_x=m_1v_1 +m_2v_2cos\theta[/tex]
[tex]P_x=(69)*(1.6) +(63)*(1.5)cos14[/tex]
[tex]P_x=202.0929461kg.m/s[/tex]
Generally equation for momentum along the the vertical is mathematically given as
[tex]P_y=m_2v_2cos\theta[/tex]
[tex]P_x=22.86161913kgm/s[/tex]
a)Generally the magnitude of momentum is mathematically given by
[tex]P=\sqrt{(P_x)^2+(P_y)^2}[/tex]
[tex]P=\sqrt{(202.0929461)^2+(22.86161913)^2}[/tex]
[tex]P=\sqrt{41364.21249}[/tex]
[tex]P=203.3819375kg.m/s[/tex]
[tex]P\approx203.4kg.m/s[/tex]
b) Generally the angle [tex]\theta[/tex] is mathematically given by
[tex]\theta=tan^-^1\frac{py}{px} \\[/tex]
[tex]\theta=tan^-^1\frac{22.86161913}{202.0929461}[/tex]
[tex]\theta=tan^-^1(0.1131242805)[/tex]
[tex]\theta=6.4541\textdegree North East[/tex]
14. A television has a cash price of $1299. It can be purchased on a Hire Purchase plan by
making a deposit of $500 plus 10 monthly payments of $95. What is the total monthly
installment.
a) S1450
b) S450
c) S1299
d) S950
A 1kg box is pushed on a flat surface that is 250m long. The box is initially at rest and then pushed with a constant Net force of 5N along the entire length. What is the velocity of the box when it reaches the end of the surface.
A. 25m/s
B. 2500m/s
C. 50m/s
D. 75m/s
Answer:
C) 50 m/s
Explanation:
With the given information we can calculate the acceleration using the force and mass of the box.
Newton's 2nd Law: F = ma
5 N = 1 kg * a a = 5 m/s²List out known variables:
v₀ = 0 m/sa = 5 m/s² v = ?Δx = 250 mLooking at the constant acceleration kinematic equations, we see that this one contains all four variables:
v² = v₀² + 2aΔxSubstitute known values into the equation and solve for v.
v² = (0)² + 2(5)(250) v² = 2500 v = 50 m/sThe final velocity of the box is C) 50 m/s.
When one end of a metal bar is heated, the opposite end will eventually become hot. Which of the following processes transfers the heat through the bar?
Group of answer choices
condensation
radiation
convection
conduction
A student is leaving the lesson and walking to Maths at a speed of 1m/s. He notices that he is late for the lesson and speeds up to 3 m/s. It takes him 4 seconds to speed up. Calculate his acceleration.
Answer:
Acceleration = 0.5 m/s²
Explanation:
Given the following data;
Initial velocity, u = 1m/s
Final velocity, v = 3m/s
Time, t = 4 seconds
To find acceleration;
In physics, acceleration can be defined as the rate of change of the velocity of an object with respect to time.
This simply means that, acceleration is given by the subtraction of initial velocity from the final velocity all over time.
Hence, if we subtract the initial velocity from the final velocity and divide that by the time, we can calculate an object’s acceleration.
Mathematically, acceleration is given by the equation;
[tex]Acceleration (a) = \frac{final \; velocity - initial \; velocity}{time}[/tex]
[tex]a = \frac{v - u}{t}[/tex]
Substituting into the equation, we have;
Acceleration = (3 - 1)/4
Acceleration = 2/4
Acceleration = 0.5 m/s²
Read each of the phrases below. Put the phrases in the correct order to show the path of blood flow in the circulatory system starting with the blood traveling from the lungs.
___ blood picks up waste products such as carbon dioxide
___ carries oxygen and nutrients to the body cells
____ moves to right ventricle and to lungs
____ blood travels from the lungs to the left atrium
____ returns to right atrium
Answer:
__3__ blood picks up waste products such as carbon dioxide
__2__ carries oxygen and nutrients to the body cell
__1__ moves to right ventricle and to lungs
__4__ blood travels from the lungs to the left atrium
__5__ returns to right atrium
Explanation:
PLS MARK BRAINLEST
Both vena cava passes the deoxygenated blood to the right atrium. Blood from right atrium enters right ventricle and pulmonary arteries carry deoxygenated blood from right ventricle to lungs for oxygenation. Two pulmonary veins come from each lung and pass O2 -rich blood to left atrium. Blood enters left ventricle from the left atrium. The left ventricle pumps blood into the aorta which in turn branches and delivers blood to the major body regions and organs.
If you want to calculate the acceleration of a car, you should _____ the change in velocity of the car by the time interval.
A. Multiply
B. Increase
C. Divide
D. Decrease
Answer:
Your awnser is B. Increase
Explanation:
Answer:
divide
Explanation:
u should divide the velocity by time interval because a=vf-vi/t
What is the mass of the object if it exerted a
force of 62.2 Newtons and has an acceleration
of 15.3 m/s2?
Answer:
The object has an approximate mass of 4.06 kilograms.
Explanation:
Force is equal to mass times acceleration, so all we need to do is divide the force provided by the acceleration provided.
[tex]m = \frac{62.2N}{15.3 \frac{m}{s^2}}\\\\m = \frac{62.3kg\frac{m}{s^2}}{15.3 \frac{m}{s^2}}\\\\m = \frac{62.2kg}{15.3}\\\\m = 4.06kg[/tex]
Derive Isothermal process through ideal gas.(anyone plzz!!)
Answer:
Hey, bro here is the explanation....
Explanation:
Hope it helps...
TIMED! WOULD REALLY APPRECIATE HELP! TYSM!!!
For her birthday, Samantha gets a new bike. She wants all her friends to see and so begins riding up and down her street. What is her speed if she goes 40.5m in 8.6s? *
4.71 m/s
4.71 h/m
47.1 h/m
Answer:
4.71 m/s
Explanation:
40.5:8.6= 4.71
A car battery provides a voltage of 12 V to a vehicle. If 32 A of
current are drawn on a hot summer evening when the air conditioning
and lights are running, what is the resistance provided by the
electrical elements of the car?
A. 44 Ohms
B. 20 Ohms
C. 2.6 Ohms
D. 0.375 Ohms
Answer:
The resistance provided by the electrical elements is;
D. 0.375 Ohms
Explanation:
The relationship between the voltage, V, current, I, and resistance, R of an electric circuit is given as follows;
V = I × R
The given parameters of the circuit are;
The voltage provided by the car battery, V = 12 V
The current drawn by the air conditioning and lights, I = 32 A
From, V = I × R, we have;
R = V/I
Therefore, by substituting the known values, we have;
R = 12 V/(32 A) = 0.375 Ohms
The resistance provided by the electrical elements, R = 0.375 Ohms
what is the kinetic energy of a 0.25kg ball rolling at a speed of 2.5m/s
Answer:
Explanation:
Kinetic Energy formula:
KE = [tex]\frac{1}{2}[/tex]mv²
m=mass
v=speed
Given:
m=0.25kg
v=2.5m/s
Plug the values in:
KE = 1/2(0.25kg)(2.5m/s)²
KE = 0.78125 J (Joules)
A plane's average speed between two cities is 750 km/hr. If the trip takes
2.5 hrs. how far does the plane fly?
Answer:
The plane goes for 600 km per hour.
The trip from a city to another is 2.5 hours
Basically, all you have to do is multiply 600 by 2.5.
That’s 1,500 kilometres.
Explanation:
A plane's average speed between two cities is 750 km/hr and if the trip takes 2.5 hours then the total distance covered by the plane would be 1875 kilometers.
What is speed?The total distance covered by any object per unit of time is known as speed. It depends only on the magnitude of the moving object.
As given in the problem, a plane's average speed between two cities is 750 km/hr and if the trip takes 2.5 hours then we have to find out the total distance covered by the plane,
The plane's average speed between two cities is 750 kilometers/hour,
time is taken in the whole trip = 2.5 hours
The distance covered by the plane = 750 kilometers/hour×2.5 hours
= 1875 kilometers
Thus, the total distance covered by the plane would be 1875 kilometers.
To learn more about speed from here, refer to the link;
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What is the potential energy of a 5.0 N weight that is 3 m above the ground
Answer:
[tex]15\:\mathrm{J}[/tex]
Explanation:
The potential energy of an object is given by [tex]PE=mgh[/tex].
Recall that the weight of an object is equal to the force of gravity on the object. From this, we can set up the following equation and solve for the mass of the object:
[tex]F=mg,\\5=mg,\\m=\frac{5}{9.81}\approx 0.51\:\mathrm{kg}[/tex]
Now we can plug in values to [tex]PE=mgh[/tex] and solve:
[tex]PE=0.51\cdot9.81\cdot3=\fbox{$15\:\mathrm{J}$}[/tex].
Answer:
The potential energy of the body is 15J.
Explanation:
What is potential energy?The energy possessed to a body due to position is called Potential energy.
U=mgh
Given data:weight (mg)=5Nheight (h)=3mPotential energy (U)=?by using formulaU=mgh
U=5×3=15J
Hence, the potential energy of the body is 15J.
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Which of these would be the most efficient means to transmit light pulses over long distances?
Answer: It’s fiber optics so B
PLEASE HELP NOT A LOT OF TIME LEFT!!!!!
A vector is drawn on an x-y plane. It has a magnitude of 65.1 centimeters and a direction of 28.0 degrees below the positive x-axis. What is the x-component of this vector?
A. 30.6cm
B. 65.1cm
C. 27.1cm
D. 57.5cm
The [x] component will be +57.47 a[x] and the [y] component will be -30.51 a[y].
What are the components of a vector?
Any vector can be resolved along the axes of the cartesian coordinate system. For a two dimensional vector (say [V]), it can be resolved along the
[x] and [y] axis, such that the components of the vector are the vector's themselves and are given by -
[x] component = VcosФ a[x]
[y] component = VsinФ a[y]
Given is a vector is drawn on an X - Y plane. It has a magnitude of 65.1 centimeters and a direction of 28.0 degrees below the positive x-axis.
From the data given, we can write -
Magnitude of vector = |V| = 65.1
Angle made with +x axis = [Ф] =28 degrees {below the axis}
Therefore, the [x] component will be -
[x] = 65.1 x cos(28) = 57.47 a[x]
and the [y] component will be -
[y] = 65.1 x sin(28) = 30.51 × -a[y] = -30.51 a[y]
Therefore, the [x] component will be +57.47 a[x] and the [y] component will be -30.51 a[y].
To solve more questions on vectors, visit the link below-
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Absorption of a light wave occurs in what material?
Answer: I think Windows.
Explanation: The absorption of light makes an object dark or opaque to the wavelengths or colors of the incoming wave: Wood is opaque to visible light. Some materials are opaque to some wavelengths of light, but transparent to others. Glass and water are opaque to ultraviolet light, but transparent to visible light.
Option.D-All materials is the correct answer.
Any object, whether living or inert, has the ability to absorb light. Absorption is always influenced by the electromagnetic frequency of the light being transmitted (i.e., its color) and the composition of the object's atoms.
To learn more Absorption of a light, click here-
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(b)Suggest with reasons,what must be added to the flask to keep the liquid hot.
____________________________________________________
(a) a thin layer of vacuum is provided between the two walls of flask, to minimise the heat loss by conduction , because for conduction medium (molecules) is required , but now medium is absent .
.(b) the two walls are silvered to minimise the heat loss by radiation , because a shiny surface is a bad absorber and bad emitter of radiation i.e. good reflector of heat , so prevents the heat exchange between content of flask and surrounding .
(c) the lid of flask is provided with a tight cork stopper to minimise the heat loss by convection , so that convection currents cannot go out .
(d) a plastic (or metal) case is provided with a flask , to protect the flask from physical damage
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At the time of the founding of the country, most Americans worked as
A.shopkeepers
B.soldiers
C.ship builders
D.farm workers
Answer:
Farmers
Explanation:
At the time of founding our country most soldiers in the revolutionary war were farmers who were inexperienced.
Answer:
D. farm workers
Explanation:
It is because when they started founding the country, people needed food and everything was based on agriculture and economy, and the main economy wat cotton and tobacco.
A simple pendulum takes 43 seconds to complete 18 oscillations. What is the time-period of this pendulum?
Answer:
2.39 s
Explanation:
Period of pendulum = Time taken for 1 complete oscillation
= Total Time / Total no. of oscillations
= 43 / 18
= 2.39 s
"Energy is never created of destroyed, it only transforms from one form to another" is the definition of… A. The Law of Diminishing Returns B. The Law of Conservation of Energy C. The Law of Universal Gravitation D. The Law of Entropy
Answer:
B. The Law of Conservation of Energy
Explanation:
In Science, energy can be defined as the ability of an object or body to do work. There are two (2) main types of energy and these are;
I. Kinetic energy: it can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
Where, K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
II. Potential energy: it can be defined as an energy possessed by an object or body due to its position.
Mathematically, potential energy is given by the formula;
Where, P.E represents potential energy measured in Joules.
m represents the mass of an object.
g represents acceleration due to gravity measured in meters per seconds square.
h represents the height measured in meters.
Additionally, the various forms of energy are solar energy, electrical energy, chemical energy, thermal energy, wind energy, nuclear energy etc.
Hence, energy is never created of destroyed, it only transforms from one form to another" is the definition of The Law of Conservation of Energy.
Help me to solve this please
Answer:
2) 7
3) 5
Explanation:
Answer:
the are are7
D
Explanation:
what are 3 physical changes of plastic
Answer:
1. Size
2. Shape
3. Color
Explanation:
Sorry if this is no help
The muscle cells of an elephant Zontain 62 chromosomes. How many
chromosomes are in an elephant egg cell?
Answer:
31
Explanation:
In meiosis each sex cell has half the half the number of chromosomes than the parent cell. 62/2=31
what must a uranium-235 nucleus absorb before fission will happen
Answer:
The arrangement of particles within uranium-235 is somewhat unstable and the nucleus can disintegrate if it is excited by an outside source. When a U-235 nucleus absorbs an extra neutron, it quickly breaks into two parts. This process is known as fission
Answer:
a nuetron
Explanation:
In a nuclear reactor , a neutron is absorbed into a nucleus (typically uranium-235). ... The fast moving neutrons carry most of the energy from the reaction with them (99%) but before the neutrons can collide with fresh uranium nuclei, they need to be slowed down
A 2-kg ball traveling eastward at 5 m/s hits a 5-kg ball moving at 1 m/s eastward. The 2-kg ball bounces west at 3.0 m/s. What is the speed of the 5kg ball?
Answer:
1.8 m/s
Explanation:
Step one:
given data
m1= 2kg
u1= 5m/s
m2= 5kg
u2= 1m/s
v1= 3m/s
From
m1u1+m2u2= m1v1+m2v2
substitute
2*5+5*1 = 2*3+5*v2
10+5= 6+5v2
15-6= 5v2
9= 5v2
divide both side by 5
v2= 9/5
v2= 1.8 m/s
what is the diffference between distance and displacement
Answer:
distance is how far away something has travelled from another object, while displacement is how far something is from the other object. Displacement is a vector quantity, unlike distance.
why is the index of refraction important for achromatic lenses?
Answer:
Refractive index is a measure of how light propagates through a material. The higher the refractive index the slower the light travels, which causes a correspondingly increased change in the direction of the light within the material.
Explanation:
one cup of water is left outside for two days, when it is checked there was only half of a cup left. what happened?
Answer:
it evaporated
Explanation:
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This child is in motion jumping on a trampoline. There are four forces that apply to this situation. Which are they?
Applied force
Normal force
Tension force
Friction force
Spring force
Air-Resistance force
Electrical force
Magnetic force
Gravitational force
Answer:
Normal Force, Applied force, Gravitational Force, Spring Force
Explanation:
Normal Force so that he does not fall into trampoline, spring because the trampoline spring down when the force goes down, then up putting force upwards, gravitation because of gravity, and applied because of jumping
Answer:
i told u my thing got deleted lol
Explanation:
Convert 55 miles into inches
Answer:
3.485e+6 inches. hope this helps
Answer:
What I got was a big number but it got around 3.485e+6
Explanation: