Answer:
The final displacement from the origin is 1.6 km to the NE
Explanation:
The directions in which the delivery truck travels are;
1) 2.8 km North = 2.8·[tex]\hat j[/tex], in vector form
2) 1.0 km East = 1.0·[tex]\hat i[/tex], in vector form
3) 1.6 km South = -1.6·[tex]\hat j[/tex], in vector form
Therefore, to find the final displacement, Δx, of the delivery truck, we add the individual displacements as follows;
Final displacement, Δd = 2.8·[tex]\hat j[/tex] + 1.0·[tex]\hat i[/tex] +(-1.6·[tex]\hat j[/tex]) = 1.2·[tex]\hat j[/tex] + 1.0·[tex]\hat i[/tex]
Final displacement, = 1.0·[tex]\hat i[/tex] + 1.2·[tex]\hat j[/tex]
Where;
Δx = The displacement in the x-direction = 1.0·[tex]\hat i[/tex]
Δy = The displacement in the y-direction = 1.2·[tex]\hat j[/tex]
The magnitude of the resultant displacement vector is given as follows
[tex]\left | d \right |[/tex] = √((Δx)² + (Δy)²) = √(1² + 1.2²) ≈ 1.6 (To the nearest tenth)
The magnitude of the resultant displacement vector ≈ 1.6 km
The direction of the resultant vector is positive for both the east and north direction, therefore, the direction of the resultant vector = NE
Therefore, the resultant displacement of the delivery truck is approximately 1.6 km, NE from the origin.
a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take
Answer:3982/27.6=144.275
Explanation:The trip took 144 hours as 3982/27.6 is about 144.
How many Stages of cancer are they?
Answer:
most cancers have four stages (1-4)
but some cancers start at 0 and end at 4 so they have five stages (0-4)
What is the momentum of a 200 kg football player running west at a speed of 8m/s
Answer:
The answer is 1600 kgm/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocityFrom the question
mass = 200 kg
velocity / speed = 8m/s
We have
momentum = 200 × 8
We have the final answer as
1600 kgm/sHope this helps you
We know the moon circulates the Earth. Suppose the mass of the Earth and moon are 5.9742 x1024 kg and 7.36 x 1022 kg, whereas the radius of the orbit is 382171 km. What will the gravitational force between the Earth and the moon?
Answer:
The gravitational force between two objects, one of mass M1 and the other of mass M2, is:
F = G*M1*M2/R^2
Where G is a constant:
G = 6.6x10^11 m^3*/(kg*s^2)
And R is the distance between the two objects.
M1 = 5.9742x10^24 kg
M2 = 7.36x10^22 kg
R = 382171 km = 382171000 m
Then the gravitational force is:
F = 6.6x10^-11 m^3*/(kg*s^2)*(5.9742x10^24 kg)*(7.36x10^22 kg)/(382171000 m)^2
F = 1.987x10^20 N
What does the color of a star indicate
Answer:
Its temperature
Explanation:
Answer:
The stars age
Explanation:
As stars age, they run out of hydrogen to burn, decreasing the amount of energy they give off. So the younger stars can look bluer while older ones look more red.
Hope this helps :3
Calculate the kinetic energy of a 20-kg sled moving 28.0 m/s.
The kinetic energy of the moving sled with the given value of mass and velocity is 7.84 × 10³ Joules.
What is Kinetic Energy?Kinetic energy is simply a form of energy a particle or object possesses due to its motion.
It is expressed as;
K = (1/2)mv²
Where m is mass of the object and v is its velocity.
Given the data in the question;
Mass of the sled m = 20kgVelocity of the sled V = 28.0m/sKinetic energy of the train K = ?To determine the kinetic energy of the sled, we substitute our given values into the above expression.
K = (1/2)mv²
K = (1/2) × 20kg × (28.0m/s)²
K = 0.5 × 20kg × 784m²/s²
K = 7840kgm²/s²
K = 7.84 × 10³J
Therefore, the kinetic energy of the moving sled with the given value of mass and velocity is 7.84 × 10³ Joules.
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A player punts a football at an angle of 30 degrees with an initial velocity of 20.0
m/s. What is the max range of the ball horizontally?
O 34.0 m
O24.0 m
8.30 m
0 20.0 m
Answer:
The closest choice to the answer is 34.0 m
Explanation:
Projectile Motion
It's the type of motion experienced by an object that is launched near the Earth's surface and moves along a curved path exclusively under the action of gravity.
Being vo the initial speed of the object, θ the initial launch angle, and g=9.8m/s^2 the acceleration of gravity, then the Range or maximum horizontal distance traveled by the object is:
[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]
The football is kicked at an angle of 30° with an initial velocity of 20 m/s. Replacing those values:
[tex]\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ)}{9.8}}[/tex]
[tex]\displaystyle d={\frac {400\sin(60^\circ)}{9.8}}=35.35\ m[/tex]
The closest choice to the answer is 34.0 m
1. A baseball is thrown horizontally at 45 m/s. The ball slows down at a rate of 5 m/s?
a. How long is the ball in the air before coming to rest?
b. How far did the ball travel in that time?
2. A car starts from rest and accelerates at 9.54 m/s? for 6.5 seconds.
a. How much distance was covered by the car?
b. What was the final velocity of the car?
3. An arrow leaves a bow with a speed of 42 m/s. Its velocity is reduced to 34 m/s by the time it
hits its target
a. What was the acceleration of the arrow?
b. How much distance did the arrow travel over if it were in the air for 2.4 seconds?
c. What was the average velocity of the arrow?
4. A ball starts from rest and rolls down a hill with a constant acceleration of 3.0 m/s?.
a. What is its speed at the end of 4.0 s?
b. How far did the ball move in that 4.0 s?
Answer:
Explanation:
a )
initial velocity u = 45 m/s
acceleration a = - 5 m/s²
final velocity v = 0
v = u - at
0 = 45 - 5 t
t = 9 s
b )
s = ut - 1/2 at²
= 45 x 9 - .5 x5x 9²
405 - 202.5
202.5 m
2 )
a )
s = ut + 1/2 a t²
u = 0
s = 1/2 at²
= .5 x 9.54 x 6.5²
= 201.5 m
b )
v = u + at
= 0 + 9.54 x 6.5
= 62.01 m / s
3
a )
acceleration = (v - u) / t
= (34 - 42) / 2.4
= - 3.33 m /s²
b )
v² = u² - 2 a s
34² = 42² - 2 x 3.33² s
s = 27.41 m
c )
Average velocity
Total displacement / time
= 27.41 / 2.4
= 11.42 m /s
4 )
a )
v = u + at
v = 0 + 3 x 4
= 12 m /s
b )
s = ut + 1/2 a t²
= o + .5 x 3 x 4²
= 24 m
You use a knife to cut a piece of bread. What kind of simple machine are you
using?
A. Wedge
B. Inclined plane
C. Screw
O D. Lever
Answer:
the answer is A.) Wedge
A knife to cut a piece of bread is a A. Wedge
What is a simple machine?
A simple machine, any of several devices with few or no moving parts that are used to modify motion and the magnitude of a force in order to perform work.
since , a wedge is a simple machine with two inclined planes which when put together forms a sharped edge, which forms a triangular shaped tool which can be used to separate portion of two objects .
hence , a knife to cut a piece of bread is a A. Wedge
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Equi-potential surface are surface that are………
Select one:
a. zero
b. the same electric potential
c. different electric potential
d. not dependent on constant radius
Answer:
b is the answer
Explanation:
The surface which is the locus of all points which are at the same potential is known as the equipotential surface.
The surface which is the locus of all points which are at the same potential is known as the equipotential surface.In other words, any surface with the same electric potential at every point is termed as an equipotential surface.
What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?
5 kg • m/s
18 kg • m/s
45 kg • m/s
60 kg • m/s
Answer:
The answer is 45 kg • m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocityFrom the question
mass = 15 kg
velocity = 3 m/s
We have
mass = 15 × 3
We have the final answer as
45 kg • m/sHope this helps you
Answer:
45 kg • m/s
Explanation:
A loaf of bread bakes in an oven. The bread is on a rack about one foot above the heat source. However, the top of the bread cooks just as fast as the bottom. How is heat being added to the bread?
Answer:
the bread is getting heated from top and bottom because the oven is heated all over and the particles from the oven makes the bread's particles heat up and the bread will be done
Explanation:
i have the same answer
Answer:
The air is heated by the heat source in the oven. The hot air rises, surrounds the bread, and heats the bread on all sides.
Explanation:
a) Gamma Rays
b) X-Rays
c) Visible Light
d) Microwaves
Answer:
A. Gamma rays
or D. microwaves
Explanation:
correct me if i am wrong
How many significant figures? 53,598 m/sec
Answer:
This has 5 significant figures.
A train accelerates at -1.5m/s for 10 seconds if the train had an initial speed of 32 m/s what is it's new speed
What is the current in a 160V circuit if the resistance is 20Ω
Answer:
I =V/R
I= 160/20 = 8 Amperes
An object is tossed downward at 5 m/s. How far will it go after 3 s?
please respond quick
Answer:
The answer is 15 mExplanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = velocity × timeWe have
distance = 5 × 3
We have the final answer as
15 mHope this helps you
Does the mean molecular speed change as much as the temperature as the water heats up?
in a meter of 3 how many beats are in a measure also this is for music
Answer:
3 i think
Explanation:
hope this helps also Hiiii
what does acceleRation measure
Answer:
Speed and distance traveled
Explanation:
An object accelerated at a rate of 50 m/s/s. A force of
100 N was used to make this happen. What is the mass
of the object?
Answer:
2kg
Explanation:
100N= force 50m/s²=acceleration
mass=?
the equation is;
Mass(kg)= Force(N) ÷ Acelleration(m/s²)
100÷50=2
In space, rockets move by shooting air backwards. What moves faster the air or the ship?
Answer:
Its being pushed.
Explanation:
There is no air but its being pushed by the flames coming from the rocket.
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What affect does the Earth’s rotation have on objects that are near the equator?
(1 Point)
It applies a force that can reduce the effects of gravity.
It applies a force that can increase the effects of gravity.
It applies a force that can increase the mass of an object.
It applies a force that can reduce the mass of an object.
Answer:
Our planet's rotation produces a force on all bodies moving relative to theEarth. Due to Earth's approximately spherical shape, this force is greatest at the poles and least at the Equator. The force, called the "Coriolis effect," causes the direction of winds and ocean currents to be deflected.
Hope this helps!
Which force is the strongest force inside an atom?
O A. Strong nuclear
B. Electromagnetic
C. Gravity
D. Weak nuclear
Inside an atom, the strongest force is the Strong Nuclear Force, indicated by option A.
The strong nuclear force is one of the fundamental forces of nature and plays a crucial role in binding the subatomic particles, specifically protons and neutrons, within the atomic nucleus.
The strong nuclear force is responsible for overcoming the electrostatic repulsion between positively charged protons in the nucleus. It acts over extremely short distances, on the order of femtometers (10^-15 meters), and is characterized by its strength and short range. It is about 100 times stronger than the electromagnetic force, which is responsible for the interaction between charged particles.
The electromagnetic force, option B, is the second strongest force inside an atom. It is responsible for the interaction between charged particles, such as electrons and protons. The electromagnetic force is involved in holding the electrons in orbit around the nucleus and determines the chemical properties of atoms.
Gravity, option C, is the weakest force among the fundamental forces. While gravity plays a significant role on a macroscopic scale, such as the gravitational attraction between planets or objects on Earth, its influence at the atomic level is negligible compared to the strong nuclear and electromagnetic forces.
The weak nuclear force, option D, is another fundamental force, but it is responsible for processes such as radioactive decay and neutrino interactions. While it is involved in certain nuclear reactions, it is not as strong as the strong nuclear force.
In summary, the strong nuclear force is the strongest force inside an atom, overcoming the electrostatic repulsion between protons and binding the atomic nucleus together. Option A.
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If you apply a net force of 3 N on 100g -box, what is the acceleration of
the box? *
30 m/s/s
20 m/s/s
10 m/s/s
5 m/s/s
Answer:
I believe the correct answer is 30m/s/s
Which of the following statements best describes why the mass of a bowling ball would not change if it were transported from Earth to the Moon?
Gravity is a constant force
The bowling ball wil adapt to the changes in gravity
Matter is resistant to acceleration and changes in gravity
The amount of matter in the bowling all remains the same
Answer:
D hope this helps
Explanation:
Answer:
D
Explanation:
The amount of matter in the bowling ball remains the same.
Which value is NOT equivalent to the others?
Multiple choice question.
A)
5 × 1011 nm
B)
0.5 km
C)
500 m
D)
5000 cm
Answer:
A) 5 × 1011nm
I think It's A
A tree is turned into sawdust is that physical change or chemical change?
Answer:
Physical change
Explanation:
A physical change can be reversible where the original form of the matter can be restored, or irreversible where the original form cannot be restored. Therefore, sawdust is a physical change.
The 50-mm-diameter cylinder is made from Am 1004-T61 magnesium and is placed in the clamp when the temperature is T1 = 15°C. If the two 304-stainless-steel carriage bolts of the clamp each have a diameter of 10 mm, and they hold the cylinder snug with negligible force against the rigid jaws, determine the temperature at which the average normal stress in either the magnesium or the steel first becomes 12 MPa.
Answer:
The temperature of steel first becomes 12 MPa at a temperature of 18.65°C
Explanation:
Given that,
Diameter = 50 mm
Temperature = 15°C
Diameter = 10 mm
Stress = 12 MPa
We need to calculate the temperature of steel
Using formula of stress
[tex]stress=\alpha Y\Delta T[/tex]
Where, Y = young modulus
T = temperature
[tex]\alpha[/tex]= coefficient of linear expansion of the material
Put the value into the formula
[tex]12\times10^{6}=17.3\times10^{-6}\times190\times10^{9}\times(T_{2}-15)[/tex]
[tex](T_{2}-15)=\dfrac{12\times10^{6}}{17.3\times10^{-6}\times190\times10^{9}}[/tex]
[tex]T_{2}=3.650+15[/tex]
[tex]T_{2}=18.65^{\circ}[/tex]
We need to calculate the temperature of magnesium
Using formula of stress
[tex]stress=\alpha Y\Delta T[/tex]
Put the value into the formula
[tex]12\times10^{6}=25.2\times10^{-6}\times45\times10^{9}\times(T_{2}-15)[/tex]
[tex](T_{2}-15)=\dfrac{12\times10^{6}}{25.2\times10^{-6}\times45\times10^{9}}[/tex]
[tex]T_{2}=10.5+15[/tex]
[tex]T_{2}=25.58^{\circ}[/tex]
Hence, The temperature of steel first becomes 12 MPa at a temperature of 18.65°C
1.) A hover disc is moving across a wooden floor with a constant velocity and virtually no friction. The soccer
disc runs into a baseball, which applies a force of 5 N opposing the motion of the disc. What will happen to
the soccer discs velocity
Answer:
The soccer discs will be change.
Explanation:
Given that,
Opposing force = 5 N
We know that,
Drag force :
Drag force is directly proportional to the square of velocity.
[tex]F_{d}\propto v^2[/tex]
[tex]F_{d}=\dfrac{1}{2}C\rho Av^2[/tex]
Where, C = drag constant
[tex]\rho[/tex] = density
A = area
v= velocity
We need to find what happen to the soccer discs velocity
According to drag force,
If we applies a force of 5 N opposing the motion of the disc then the velocity of the soccer discs will be change.
Hence, The soccer discs will be change.
