A car is stationary. It accelerates at 0.8 ms^2 for 10 s and then at 0.4 ms^2 for a further 10 s. Use the equations of motion to deduce the car's final displacement. You will have to split the journey into two parts, since the acceleration changes after 10 s.
Answer:
The final displacement of the car is 140 meters.
Explanation:
The final displacement of the car ([tex]s[/tex]), in meters, is the sum of the change in displacement associated with each part of the journey, which is derived from the following kinematic formulas:
[tex]s = s_{1} + s_{2}[/tex] (1)
[tex]s_{1} = \frac{1}{2}\cdot a_{1}\cdot t_{1}^{2}[/tex] (2)
[tex]v_{o,2} = a_{1}\cdot t_{1}[/tex] (3)
[tex]s_{2} = v_{o,2} + \frac{1}{2}\cdot a_{2}\cdot t_{2}^{2}[/tex] (4)
Where:
[tex]s_{1}[/tex] - Traveled distance of the first part, in meters.
[tex]s_{2}[/tex] - Traveled distance of the second part, in meters.
[tex]a_{1}[/tex] - Acceleration in the first part, in meters per square second.
[tex]a_{2}[/tex] - Acceleration in the second part, in meters per square second.
[tex]v_{o,2}[/tex] - Initial speed of the car in the second part, in meters per second.
[tex]t_{1}[/tex] - Time taken in the first part, in seconds.
[tex]t_{2}[/tex] - Time taken in the second part, in seconds.
If we know that [tex]a_{1} = 0.8\,\frac{m}{s^{2}}[/tex], [tex]t_{1} = 10\,s[/tex], [tex]a_{2} = 0.4\,\frac{m}{s^{2}}[/tex] and [tex]t_{2} = 10\,s[/tex], then the distance traveled by the car is:
By (2):
[tex]s_{1} = \frac{1}{2}\cdot \left(0.8\,\frac{m}{s^{2}} \right)\cdot(10\,s)^{2}[/tex]
[tex]s_{1} = 40\,m[/tex]
By (3):
[tex]v_{o,2} = \left(0.8\,\frac{m}{s^{2}} \right)\cdot (10\,s)[/tex]
[tex]v_{o,2} = 8\,\frac{m}{s}[/tex]
By (4):
[tex]s_{2} = \left(8\,\frac{m}{s} \right)\cdot (10\,s) + \frac{1}{2}\cdot \left(0.4\,\frac{m}{s^{2}} \right)\cdot (10\,s)^{2}[/tex]
[tex]s_{2} = 100\,m[/tex]
By (1):
[tex]s = 140\,m[/tex]
The final displacement of the car is 140 meters.
In the given v - t graph, the distance travelled by the body in 5 will be
1 40
V
30
(inms -1) 20
10
0
34
time (in sec)
-10
15
-20
1
1
2
A) 20 m
B) 40 m
C) 80 m
D) 100 m
The mo
Answer:
distance travelled is 80
.
What is the equation for work?
Work = force / distance
Work = force - distance
Work = force + distance
Work = force * distance
Answer:
Work = F X D
Explanation:
Work (J) equals Force (N) multiplied by Distance (M)
Which is an outer planet?
Answer:
pluto
Explanation:
Dwarf because it is very minut
Answer:
I think Saturn.
Explanation:
I think the inner planets are Mercury, Venus, Earth and Mars whereas the outer ones are Jupiter, Saturn, Uranus and Neptune.
The gravitational force of the two objects is 6.67x10-11N. Explain this statement.
Answer:
it means that the force of attraction between two object in gravitation is 6.67×10-11N
It means that the force of attraction between two object in gravitation is 6.67×10-11N.
What is the formula of mass in gravitational force?The formula is g = GM/r2, Where M is the mass of the Earth, r is the radius of the Earth (or distance between the center of the Earth and you, standing on its surface), and G is the gravitational constant. G (without the subscripts) is the gravitational constant, and c is the speed of light.
What is the gravitational force between two objects?The gravitational force between two objects is proportional to their masses and inversely proportional to the square of the distance between their centers. joining the two centers of masses.
Learn more about gravitational force here: brainly.com/question/13010127
#SPJ2
help asap
i) Two sides of a parallelogram are given as i + 2j - 3k and 5i+j-k. Find area of parallelogram and also find the area of triangle formed by the diagonal of the parallelogram.
ii) A vector makes an angle of 75 degrees with vertical. Find its rectangular components.
explain step by step
magnitude is area. hope it helps.
Determine the mass of the object below to the correct degree of precision.
433.0 g
433.45 g
433.40 g
434.50 g
Answer:
You did not include the picture but I found a similar question that I can explain and you can then use to answer yours.
The middle scale is in hundreds. The arrow here is pointing to 100 so the mass of the object is more than 100g but less than 200g.
The highest scale is in 10s. The arrow is pointing to 0. This means that the object weighs more than 100 but less than 110 g. If the arrow was pointing to 10 then the object would weigh more than 110g.
The bottommost scale is in 1s. Notice how the scale is pointing to 5.7 grams. The object is therefore 105.7 grams.
Look for the option closest to this because the 105.7g might be rounded up.
You will then find 105.65g as your answer.
Answer:433.0 g
Explanation:i’m not 100% sure
what is the equation of preassure
20. A semiconductor is a
crystalline solid that conducts current under any condition
metallic solid that conducts current under any condition
metallic solid that conducts current under certain conditions
crystalline solid that conducts current under certain conditions
Answer:
D. crystalline solid that conducts current under certain conditions
Explanation:
Semiconductors are crystalline solids that has the ability to conduct electrical currents but on certain conditions e.g heat. The conduction of semiconductors is less than that of conductors (metals) but more than insulators (nonmetals), hence, they are said to be intermediates of conductors and insulators in terms of electrical conductivity.
Examples of semiconductors are silicon, boron, carbon, germanium, arsenic etc.
Andrea rides her bicycle at a speed of 10 m/s. She and the bike have a combined mass of
50 kg.
a.
If she uses her brakes to slow down to 5 m/s, how much energy is converted to
heat?
Answer:
1875 J of energy is converted to heat.
Explanation:
Given that,
The combined mass of Andrea and the bike is 50 kg
Initial speed of Andrea's bicycle, u = 10 m/s
Final speed of Andrea's bicycle, v = 5 m/s
The energy converted to heat can be calculated using the work-energy theorem as follows :
[tex]E=\dfrac{1}{2}m(v^2-u^2)\\\\E=\dfrac{1}{2}\times 50\times ((5)^2-(10)^2)\\\\E=-1875\ J[/tex]
So, 1875 J of energy is converted to heat.
Tính công của dòng điện
Answer:
CG gh sure er go b vh pxuh FPI OO c AM h kh
An object of mass 10 kg has a momentum of 15 kg m/s. Find the average force required to accelerate the object to 10 m/s over 20 seconds.
Answer:
Force = 4.25 Newton
Explanation:
Given the following data;
Mass = 10 kg
Momentum = 15 Kgm/s
Time, t = 20 seconds
Final velocity, V = 10 m/s
To find the average force required;
First of all, we would determine the initial velocity of the object.
Momentum = mass * velocity
15 = 10 * velocity
Velocity = 15/10
Velocity = 1.5 m/s
Next, we would determine the acceleration of the object by using the first equation of motion;
V = U + at
10 = 1.5 + a*20
10 - 1.5 = 20a
8.5 = 20a
Acceleration, a = 8.5/20
Acceleration, a = 0.425 m/s²
Lastly, we would find the average force by using the formula;
Force = mass * acceleration
Force = 10 * 0.425
Force = 4.25 Newton
the torque produced in a body is equal to the product of one of the force and the _______
(a) couple
(b) force
(c) like parallel force
(d) couple arm
URGENT
A river flows toward 90°. Mark, a riverboat
pilot, heads the boat at 297º and is able to go
straight across the river at 6.0 m/s.
a. What is the velocity of the current?
b. What is the velocity of the boat as seen
from the river bank?
If the boat's speed is s, and the river's speed is r, and the boat is traveling east (0 degrees),
(0,r) + (s cos297,s sin297) = (6,0)
now just solve for r and s.
Pls mark me as brainliest
Two rams run toward each other. One ram has a mass of 44 kg and runs south with a speed of 6 m/s, while the other has a mass of 50 kg and runs north with a speed of 3 m/s. What will the momentum of the system made up of the two rams be after they collide? Assume the total momentum of the system is conserved.
A. 114 kg-m/s south
B. 414 kg-m/s south
C. 414 kg m/s north
D. 114 kg-m/s north
What's energy band theory???
Answer:
Energy band theory is a basis for describing processes and effects in solid crystals under electromagnetic field impact.
Explanation:
Single atoms have a discrete energy spectrum, which means they can occupy only discrete energy levels. Part of these energy levels are filled with electrons in a non-excited condition. Part of these levels can be occupied only when electrons are excited.
HELP me
Which sentence best describes how the horse is doing work?
A It is using motion to transfer energy and force away from the heavy object
B it is using force to apply power and decrease the energy of the heavy object
C it is using energy to apply the force needed to move the object over a distance
D it is using power to force the heavy object to move over A certain distance
I am struggling with the question below, pls help: What is the distance between the moon and the earth if the mass of the moon is 7.34 x 10²² kg and the force of attraction between the two is 2.00 x 10 ^ 20.
Thank you in advance!
Answer:
Explanation:
What you forgot to include is the mass of the earth, which is 5.98 × 10²⁴ kg. NOW we can do the problem:
[tex]F=\frac{Gm_1m_2}{r^2}[/tex] where m1 and m2 are the masses of the objects experiencing this force of gravity, F. G is the universal gravitational constant. Filling in:
[tex]2.00*10^{20}=\frac{(6.67*10^{-11})(7.34*10^{22})(5.98*10^{24})}{r^2}[/tex]
We are going to rearrange and solve for r before we do any math on this thing:
[tex]r=\sqrt{\frac{(6.67*10^{-11})(7.34*10^{22})(5.98*10^{24})}{2.00*10^{20}} }[/tex] and when we plug all that mess into our calculators we will do it just like that and then round to 3 significant digits at the very end.
Doing all of that gives us that
r = 3.83 × 10⁸ m
A hockey puck has a mass of 0.21 kg. If the hockey puck
is moving with 74 J of kinetic energy, what is its speed?
Show all your work.
Answer:
v = 26.54 m/s
Explanation:
Given that,
The mass of a hockey puck, m = 0.21 kg
The kinetic energy of the hockey puck, E= 74 J
We need to find the speed of the hockey puck. Let the speed is v. We know that, the kinetic energy is given by :
[tex]E=\dfrac{1}{2}mv^2[/tex]
Where
v is the speed
So,
[tex]v=\sqrt{\dfrac{2E}{m}} \\\\v=\sqrt{\dfrac{2\times 74}{0.21}} \\\\v=26.54\ m/s[/tex]
So, the speed of the hockey puck is 26.54 m/s.
Why is it difficult to maintain constant speed of a vehicle?
Answer:
The road surface is always rough, so the frictional force between the tires and the road surface make it difficult to maintain constant speed because acceleration always changes.
A girl walks 55 m downhill in 3.2 s. What is her average velocity?
Answer:
V = 17.2
Explanation:
Speed = distance(m) / time(s)
= 55m / 3.2s
=17.2 m/s
Define measurement with examples.
Explanation:
Measurement is defined as the act of measuring or the size of something. An example of measurement means the use of a ruler to determine the length of a piece of paper. An example of measurement is 15" by 25". ... The dimension, quantity, or capacity determined by measuring.
Measurement refers to the comparison of unknown physical quantity with a known quantity.
for eg. measurement of body while sewing clothes.......
experiment to calculate the spring constant of a spring.
the mass of an object is 45 kg and it has a density of 5 gram per centimetre cube what is the volume
Density = Mass/Volume
=> 5g/cm³ = 45kg/Volume
=> 0.005kg/cm³ = 45kg/Volume
=> Volume = (cm³×45kg)/0.005kg
=> Volume = 9000kg/cm³
5 grams fits into 45 kg 9,000 times.
Since each 5 grams occupies 1 cm³, 9,000 little packages of 5 grams must occupy 9,000 cm³ . (That's 9 liters.)
Las carreras de velocidad pura en el atletismo son:
A. Un ladrón perseguido por la policia
B.100 y 200 mts planos
C. salir corriendo cuando la mama lo va a castigar
D.N.A
A girl is travelling on her bike at a speed 2.59 m/s. If the
girl and her bike have a kinetic energy of 190 J, what is
the combined mass of the girl and her bike? Show all
your work
Answer:
Mass, m = 146.72 kilograms
Explanation:
Given the following data;
Kinetic energy = 190 J
Velocity = 2.59 m/s
To find the combined mass of the girl and her bike;
Kinetic energy can be defined as an energy possessed by an object or body due to its motion.
Mathematically, kinetic energy is given by the formula;
K.E = ½mv²
Where;
K.E represents kinetic energy measured in Joules.
M represents mass measured in kilograms.
V represents velocity measured in metres per seconds square.
190 = ½*m*2.59
Cross-multiplying, we have:
380 = 2.59m
Mass, m = 380/2.59
Mass, m = 146.72 kilograms
state any two effects of gravitational force
Answer:
The effect of gravity extends from each object out into space in all directions, and for an infinite distance. However, the strength of the gravitational force reduces quickly with distance. Humans are never aware of the Sun's gravity pulling them because the pull is so small at the distance between the Earth and Sun.
Answer:
The Earth's gravitational force accelerates objects when they fall. It constantly pulls, and the objects constantly speed up.
Explanation:
When developing an experiment design, which could a scientist take to improve the quality of the results?
The options missing are;
A. Make only a few changes to the manipulated variable.
B. Identify any biases about the answer to the scientific question.
C. Include as many details as possible when writing the conclusion.
D. Share her ideas through peer review.
Answer:
B. Identify any biases about the answer to the scientific question.
Explanation:
Since the question is asking what can be done to improve the quality of the results, it means what can the scientist do to make sure that the result answers the question properly and has little or no biases.
Thus, looking at the options, the only one that comes close to actually improving on the quality of the results before finalizing is option B where the scientist is to identify any biases.
A bowling ball is pushed with a force of 22.0 N and accelerates at 5.5 m/s2. What is the mass of the bowling ball?
Answer:
4 kg
Explanation:
F (force) = 22.0 N
m (mass) = ? (in Kg)
a (acceleration) = 5.5 m/s²
We apply the data to the Resultant Force formula, we have:
f=ma
22=m x 5.5
5.5m=22
m=22/5.5
m=4kg
Answer:
[tex]\boxed {\boxed {\sf 4 \ kilograms}}[/tex]
Explanation:
According to Newton's Second Law of Motion, force is the product of mass and acceleration.
[tex]F= m*a[/tex]
The bowling ball was pushed with a force of 22.0 Newtons and the acceleration was 5.5 meters per second squared.
1 Newton is equal to 1 kilogram meter per second squared. Therefore, the force of 22.0 N is equal to 22 kg*m/s² (we do this conversion so we can easily cancel the units later).
F= 22.0 kg*m/s²a= 5.5 m/s²Substitute the values into the formula.
[tex]22.0 \ kg*m/s^2 = m * 5.5 \ m/s^2[/tex]
We are solving for the mass, so we must isolate the variable m. It is being multiplied by 5.5 meters per second squared. The inverse of multiplication is division, so we divide both sides by 5.5 m/s²
[tex]\frac { 22.0 \ kg*m/s^2}{5.5 \ m/s^2} = \frac{m * 5.5 \ m/s^2}{5.5 \ m/s^2}[/tex]
[tex]\frac { 22.0 \ kg*m/s^2}{5.5 \ m/s^2}=m[/tex]
The units of meters per second squared (m/s²) cancel.
[tex]\frac { 22.0 \ kg}{5.5 }=m[/tex]
[tex]4 \ kg =m[/tex]
The mass of the bowling ball is 4 kilograms.
The eficiency of a
simple machine can never be 100% why?
Answer:
Systems always tend toward a state of decreasing order unless more energy is provided into the system to counteract this tendency.