The initial velocity of the car is u = 0 m/s because the car starts from rest.
The acceleration of the car is a = [tex]2m/s^{2}[/tex].
The instantaneous velocity is v = 16 m/s.
By applying the formula that connects the details that we have with the duration
a = v − u t
t
we get the duration as follows
Make t the subject of the formula
t = v − u
a
= 16m/s− 0 m/s
[tex]2M^{2}[/tex]
= 8s.
The duration for that speed change is 8s.
Calculating acceleration involves dividing velocity by using time or in phrases of SI units, dividing the meter according to the second m/s by the second one. Dividing distance by time twice is the same as dividing distance via the rectangular of time. hence the SI unit of acceleration is the meter according to 2nd squared. If the acceleration is consistent, it's far viable to discover acceleration without time if we have the preliminary and final pace of the item as well as the amount of displacement. The system v2=u2+2as where v is the final velocity, u is the initial velocity, a is the acceleration and s is the displacement is used.
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A car travels 500 km in 4 hours. Another car travels the same 500 km in 5 hours. The cars have the same
A . Acceleration
B . Speed
C . Average Velocity
D . Displacement
A car traveling 500km in 4 hours and another car traveling 500km in 5 hours, both the cars have the same displacement. Thus, the correct option is D.
What is Displacement?The displacement is a vector quantity because is has both the magnitude and direction. Displacement is the quantity whose length is the shortest distance from the initial position to the final position of a point which is undergoing motion. Displacement quantifies both the distance and direction of the net or the total motion of an object along the direction of a straight line from the initial position to the final position of the point trajectory of the object. A displacement may be identified with the translation which maps the initial position to the final position of an object.
A displacement may be also described as a relative position, that is, as the final position of an object relative to its initial position. The corresponding displacement vector can be defined as the difference between these two that is the final position and initial position of the object.
Therefore, the correct option is D.
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A person 1.8 m tall is photographed with a 35-mm camera, and the film image is 20 mm. Under the same conditions, how tall is a person whose film image is 16 mm?
Under the same conditions, the height of a person whose film image is 16 mm is 1.44 m.
What is magnification of a lens?
The magnification of a lens is defined as the ratio of the height of an image to the height of an object.
The formula for magnification of a lens is given as;
M = v/u = hi/h
where;
v is image distanceu is object distance hi is image heighth is object heightUnder the same conditions, the height of a person whose film image is 16 mm is calculated as follows
M = 20 mm / 1.8 m = 16 mm/h
20 mm / 1.8 m = 16 mm/h
h = (16 mm / 20 mm) x 1.8 m
h = 1.44 m
Thus, under the same conditions, the height of a person whose film image is 16 mm is 1.44 m.
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If the velocity versus time graph of an object is a horizontal line the object is
If an object's velocity versus time graph is a horizontal line the object is travelling at constant velocity which means the object is not accelerating at all.
a) d = 24 g/mL
v = 1.2 L =
m=? 28.1
? 23.03
mL
Density calculations are 1.2L = 1200mL m = 2.9 x 10^4 g
Density is the mass of a material substance per unit volume. d = M/V, where d is density, M is mass, and V is volume, is the formula for density. Grams per cubic centimetre are a typical unit of measurement for density. Another way to state density is in kilogrammes per cubic metre (in metre-kilogram-second or SI units).
For instance, air weighs 1.2 pounds per cubic metre. In textbooks and manuals, the densities of typical solids, liquids, and gases are stated. The relationship between mass and volume can be easily determined using density; for example, the mass of a body is equal to its volume multiplied by the density (M = Vd), whereas the volume is equal to the mass divided by the density (V = M/d).
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ASAP!!! will give brainlest!
A stone is dropped into a deep well and hits the water 2.41 s after being dropped. Determine the depth of the well. Use g = -10 m/s/s and enter your answer as a POSITIVE number since it is asking for the depth of the well and not how far the stone fell. ROUND your answer to the nearest tenth.
An object is launched across a room. How can a student determine the average horizontal velocity of the object using a meter stick and a calculator
1) The student can measure the initial velocity and acceleration and use that information to calculate objects final velocity.
2) The student can measure the recoil distance of the throwing mechanism and then calculate the velocity from the conservation of momentum principle.
3) The student can measure the horizontal distance traveled, determine the flight time from the vertical drop, and then calculate the average horizontal velocity.
4) The student can measure the fall distance and travel time from the horizontal displacement and then calculate the average horizontal velocity.
The student can determine the average horizontal velocity of the object using a meter stick and a calculator by measuring the horizontal distance traveled, determine the flight time from the vertical drop, and then calculate the average horizontal velocity.
So option 3 is correct.
What is horizontal velocity?The horizontal velocity can be described as the velocity of any projectile along a horizontal path.
From the options given, the student can measure the horizontal distance traveled, determine the flight time from the vertical drop, and then calculate the average horizontal velocity.
Gravity acts only in the vertical direction and doesn't affect horizontal motion directly.
Horizontal velocity comes from forces that act in the x-axis, that is directions from side to side and not up or down.
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A transverse wave can be graphed as position vs. time or y-position vs. x-position. If
you want to determine the wavelength of a transverse wave, which graph should
you use? Explain
To determine the wavelength of a transverse wave, we use the graph of y-position vs. x-position.
What is a transverse wave?A transverse wave is a wave in which the direction of propagation of the wave is perpendicular to the direction of the disturbance causing the wave.
Plotting a transverse wave,
the y - direction represents the direction of disturbance of the wave, the x - direction represents the direction of propagation of the wave and t axis represents the time of travel of the waveNow, we can have two graphs namely,
position vs. time or y-position vs. x-position.Which graph will we use to determine the wavelength of a transverse wave.If we plot a cycle of each graph above, we see that position is plotted against time and y-position is plotted against x-position.
We note that the x - position is the direction of travel of the wave in which we measure its wavength. Since the wavelength is the x - position after one cycle, so, we use the graph of y-position vs. x-position to find its wavelength.
So, to determine the wavelength of a transverse wave, we use the graph of y-position vs. x-position.
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What do these changes have in common rain forming in a cloud and water evaporation
Answer:
Both of these involve water changing states.
Explanation:
Clouds forming rain is water changing from a gas to a liquid and evaporation is water changing from a liquid to a gas.
Need help answering these problems
The acceleration is obtained from the net force and the mass of a body.
What is the force?According to the Newton second law, we know that force is the product of the mass and the acceleration of a body. Given the fact that the force applied on the body is in opposite direction to the friction, we can be able to obtain the friction from the images shown in the problem.
In the first case;
Force = mass * acceleration
acceleration= force/mass
acceleration= 175 N/50 = 3.5 m/s^2
In the seconds case;
Net force = 330 N - 196 N = 134 N
acceleration= force/mass
acceleration= 134 N/200 Kg = 0.67 m/s^2
In the third case;
Net force = 373 N - 147 N = 226 N
acceleration= force/mass
acceleration= 226 N/50 Kg
= 4.52 m/s^2
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Would "throwing" the picket fence up or down prior to its passing through the photogate affect the experimentally deter-
mined g value?
If you throw the picket fence down instead of dropping it, the graphs and values will change due to forces other than gravity acting on it. When you throw it, gravity works against it, so they change too, and eventually return tends to decrease. acceleration due to gravity by quadratic curve fitting for the given data is 9.726 m/s2.
The purpose of this exercise was to measure the acceleration of a free-falling object using the slope of a velocity versus time plot. If you drop the picket fence from the same height each time, the photogate will read a slope of 9.8 each time.
The photogate has a beam of infrared light that moves left and right. You can detect whenever that beam is blocked. They drop clear plastic strips with evenly spaced black bars called picket fences. As the mass of an object increases, the object's acceleration decreases.
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They drop picket fences, which are clear plastic strips with neatly spaced black bars. The acceleration of an item decreases as its mass increases.
The photogate emits an infrared light beam that travels left and right. When the beam is obstructed, you can detect it. The graphs and numbers will vary if you fling the picket fence down instead of dropping it owing to factors other than gravity acting on it. Gravity works against it as you toss it, thus they vary as well, and ultimately return tends to diminish. For the given data, the acceleration due to gravity calculated using quadratic curve fitting is 9.726 m/s2.
The goal of this exercise was to use the slope of a velocity vs time plot to calculate the acceleration of a free-falling object. If you drop the picket fence from the same height each time, the photogate will always report a slope of 9.8.
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A runner is jogging in a straight line at a steady v, 3.5 km/hr. When the runner is L= 3.1 km from the finish line, a bird begins flying straight from the runner to the finish line at v= 17.5 km/hr (5 times as fast as the runner). When the bird reaches the finish
line, it turns around and flies directly back to the runner. finish line What cumulative distance does the bird travel? Even though the bird is a dodo, assume that it occupies only one point in space (a "zero" length bird), travels in a straight line, and that it can turn without loss of speed.Answer in units of km.
If a bird begins flying straight from the runner to the finish line at v= 17.5 km/hr, the bird would reach the finish line in 10 minutes and 37.71 seconds.
What is Velocity?The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object.
As given in the problem A runner is jogging in a straight line at a steady v, 3.5 km/hr. When the runner is L= 3.1 km from the finish line, a bird begins flying straight from the runner to the finish line at v= 17.5 km/hr (5 times as fast as the runner).
The time is taken by the bird to reach the finish line = 3.1 km /17.5 km/hour
=0.177 hours
= 10 minutes 37.71 seconds
Thus, the bird would reach the finish line in 10 minutes and 37.71 seconds.
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1. Which of the following secondary sex characteristics do not develop during the teen years?
Odevelopment of breasts in girls
Odevelopment of body hair in boys
Odevelopment of ovaries in girls and testes in boys
Odevelopment of acne in boys
Answer:
Development of acne in boyw
According to the conservation of momentum, if a smaller football player collides with a
much larger football player, what can be said about the movement of each player after
the collision?
Although the bigger football player will move, his speed will be substantially slower than the smaller players due to his greater mass.
According to the law of conservation of momentum, The overall momentum of two or more bodies acting on one another in an isolated system stays constant unless an external force is introduced. As a result, momentum cannot be gained or lost.
When a collision occurs, the point of impact is generated by two equal and opposing forces. The heavier mass will be forced to accelerate by the force applied to it, whereas the smaller mass will be forced to slow down by the force applied to it.
Because of their greater mass, larger masses will accelerate more slowly, reducing their velocity.
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what is the value of the x component of the car's average velocity, in meters per second, during the given time interval
To find the component of car's average velocity along X-axis, the angle between the the direction of the velocity and the X-axis must be known.
The value of x component of the car's average velocity is Vcosx.
Calculation of the x component of the car's average velocityLet the angle be = x
The X-component of the car's average velocity = Vcosx.
V is the magnitude of the velocity.
To calculate the y component of the car's average velocity
The Y-component of the velocity = Vsinx
What does the phrase "average velocity" actually mean in context?The difference between the change in position or displacement (x) and the time periods (t) during which the displacement happens is known as average velocity. Depending on the direction of the displacement, the average velocity could be either positive or negative. Meters per second (m/s or ms-1) is the SI unit of measure for average velocity.
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5. Look at Figure 7.8 which shows Rigan touching the negatively charged dome of an instrument called the Van de Graaff generator. a) Why did Rigan have to stand on a plastic chair?
Answer:
Rigan stood on a plastic chair to provide insulation between Rigan and the environment.
If Rigan was connected electrically to the environment, then no net charge would be accumulated by Rigan and no effect would be noted.
(Figure 1) shows a 5.4 N force pushing two gliders along an air track. The 150 g spring between the gliders is compressed. The spring is firmly attached to the gliders, and it does not sag.
a)How much force does the spring exert on glider A ?
b)How much force does the spring exert on glider B ?
(a) The force the spring exert on glider A is 1.88 N.
(b) The force the spring exert on glider B is 2.82 N.
Acceleration of the springThe acceleration of the spring is calculated as follows;
F = ma
a = F/m
a = 5.4 N / (0.15 kg + 0.4 kg + 0.6 kg0
a = 4.7 m/s²
force the spring exert on glider AF(A) = ma
F(A) = 0.4 kg x 4.7 m/s²
F(A) = 1.88 N
force the spring exert on glider BF(B) = 0.6 kg x 4.7 m/s²
F(B) = 1.88 N
F(B) = 2.82 N
Thus, the force the spring exert on glider A is 1.88 N.
The force the spring exert on glider B is 2.82 N.
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briefly define what are micro-organisms
What is the direction
Answer:
Explanation:
[tex]tan^{-1} (4/3) = 53.3[/tex]
A race car rounds a curve at 55 m/s. The radius of the curve is 434 m, and the car's mass is 685 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)
(a) What is the car's (centripetal) acceleration?
______m/s2
What is it in g's?
____g
(b) What is the centripetal force acting on the car?
____N
PLEASE HELP!!!
The car's (centripetal) acceleration would be 6.97 meters / second², its value in terms of acceleration due to gravity would be 0.71 g and the centripetal force acting on the car would be 4774.5 Newtons.
What is Newton's second law?Newton's Second Law states that The resultant force acting on an object is proportional to the rate of change of momentum.
As given in the problem a race car rounds a curve at 55 m/s. The radius of the curve is 434 m, and the car's mass is 685 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive.
The centripetal acceleration of the car = v² / r
=55² / 434
= 6.97 meters / second²
The centripetal force acting on the car = m×v² / r
=685× 6.97
=4774.50 Newtons
Thus, the centripetal force acting on the car would be 4774.5 Newtons.
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A reconnaissance plane flies 404 km awayfrom its base at 730 m/s, then flies back to its base at 1095 m/s.What is it’s average speed?
Answer in units of m/s
The average speed of the plane is 875.999 m/s.
Average speed can be defined as the ratio of total distanced travelled by the object to that of total time taken to cover the distance.
Mathematically, Average speed = Av = [tex]\frac{Total Distance}{Total Time}[/tex]
According to the question,
Speed of the plane away from its base V₁ = 730 m/s
Speed of the plane when it flies back V₂ = 1095 m/s
Plane flies the distance D = 404 km
Total Distance covered by the plane S = 404 * 2 km
(because the distance travelled by the plane when going away from the base and then flying back to the base is same)
Therefore S = 808 km = 808 ˣ 10³ m
Time taken by the plane while flying away from the base T₁ = [tex]\frac{D}{V1}[/tex]
T₁ = [tex]\frac{404000}{730}[/tex] = 553.425 s
Time taken by the plane while flying back to the base T₂ = [tex]\frac{D}{V2}[/tex]
T₂ = [tex]\frac{404000}{1095}[/tex] = 368.949s
Total Time T = T₁ + T₂ = 922.375 s
Therefore Av = [tex]\frac{Total Distance}{Total Time}[/tex]
= [tex]\frac{D}{T}[/tex] m/s
= [tex]\frac{808000}{922.375}[/tex] m/s
= 875.999 m/s
The average speed of the plane will be 875.999 m/s.
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As a 2.0-kg block travels around a 0.50-m radius circle it has an angular
speed of
12 rad/s. The circle is parallel to the xy plane and is centered on the z axis, a
distance of 0.75m from the origin. The z component of the angular
momentum
around the origin is:
The z component of the angular momentum around the origin is 9 kg-m²/s.
What is angular momentum?
Angular momentum is the property of any rotating object given by moment of inertia times angular velocity.
The z component of the angular momentum around the origin is is calculated as follows;
L = mvr
where;
m is the massv is the linear speedr is the distance from the originv = ωr
where;
ω is angular speed = 12 rad/sr is radius of the circlev = 12 rad/s x 0.5 m
v = 6 m/s
Substitute the given parameters' and solve for the z component of the angular momentum around the origin is;
L = (2 kg) x (6 m/s) x (0.75 m)
L = 9 kg-m²/s
Thus, the z component of the angular momentum around the origin is 9 kg-m²/s.
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Answer: 6.0
Explanation:
v = 0.5 * 12 = 6
l = m * r *v
l = 2 * 0.5 * 6
l= 6
True or False? Air resistance acts in the direction the object is moving in.
The law of Conservation of energy states that energy can be transformed from one form to another, but it cannot be _______ or ________. created, changed created, destroyed changed, destroyed radiated, conducted
Answer:
The low of conservation of energy states that "energy can neither be created nor be destroyed but it can be changed from one form to another".
Which graph below represents how the velocity of the sphere changes over time when falling with constant acceleration?
Justify your choice.
Graph B represents the velocity of the sphere changes over time when falling with constant acceleration.
Acceleration is the measure of how quickly a body's velocity varies with regard to time, and constant acceleration occurs when a body's velocity changes proportionately over a period of time, or at a constant rate. It measures in m/s2.It is claimed that a body has continual positive acceleration when it begins to move with an initial velocity of zero and gradually increases to a positive value over time.Constant positive acceleration is demonstrated by a ball falling freely in a vertical direction.To know more about constant acceleration. visit : brainly.com/question/9754169
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what is The physical meaning of the slope for the kinetic frictional force vs. normal force graph
The physical means of the slope between the static friction and the normal pressure is the coefficient of static friction of the surface on which the object is located.
Mathematically fstatic≤usΝ in which μs is the coefficient of friction and slope among fs and N will provide this μs mentioning that static friction increases with an increase in everyday pressure and vice versa. but we will see this linearity between fs and N most effective for the most static frictional pressure and till fs< usN we can't observe this linearity and when fs=uSN we will look at this linearity.
The slope of this graph represents the coefficient of friction, The more the force the more the friction because the pressure is higher the downward pressure is extra consequently the object. So the friction on the shoe does rely on the load. So the slope of the graph represents the coefficient of friction. Kinetic friction importance is directly proportional to the regular pressure magnitude and the roughness between the sliding surfaces. Static friction magnitude is immediately proportional to the normal pressure importance and the roughness among the sliding surfaces.
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What size force accelerates a 0.010 kg bullet from a rest to a speed of 1100 m/s in a distance of 1 meter?
The force that accelerates a 0.010 kg bullet from rest to a speed of 1100 m/s in a distance of 1 meter is 11 newton.
What is force?Force is the entity that changes the motion of an object. It is calculated by multiplying the mass by acceleration.
Mass is the weight of an object per unit. Acceleration is a change in the rate of velocity.
F = ma
The mass is 0.010 kga change
convert into grams = 10 grams
The acceleration is 1100 m/s
putting the value in the formula
1100 x 10 = 11, 000
convert into kg = 11
Thus, the size force accelerates is 11 N.
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Need help with my homework assignment. Thank you!
According to research, development is always towards complexity.
What is the meaning of research?The term research has to do with the process that we have to go through to obtain new knowledge or to confirm a piece of information. Let us say that we have some disconnected pieces of evidence that tend to point towards a particular fact, we would need to use the process of research to establish the truth in the research.
Now we can see that there is a movement towards the complexity of organisms at each particular level in the developmental process. We can then conclude that according to research, development is always towards complexity.
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what is the density of copper if 21.4 g of it occupies 2.40 cm3
Answer:
D=157g/12cm cubed
Explanation:
D=M/V
D=)21.4)g(/2.40)cm cubed
D=157g/12cm cubed
10. A 4.5 kg block is pulled across a horizontal surface that has a
coefficient of kinetic friction of 0.40. a). Draw a free-body diagram that
includes the vertical and horizontal forces. b) What is the normal force? c)
What is the force of friction exerted by the surface on the block? d). If the
block is pulled by a 25 N force, what is the net force acting on the block?
e). What is the acceleration of the block? Be sure to draw
The acceleration is 4.24 m/s² and the force of friction is 17.64.
Equation :To calculate normal force,
use formula,
F = ma
where,
F is normal force
m is mass
a is acceleration due to gravity
Given,
m = 4.5kg
a = 9.8 m/s²
F = 4.5 kg x 9.8 m/s²
F = 44.1 N
Now, as we calculate the normal force
To calculate the force of friction
Using the formula,
μ = N / F
where,
μ is coefficient of friction
N is force due to friction
F is normal force
Given,
μ = 0.40
F = 44.1 N
So, putting values,
We have,
0.40 = N / 44.1
N = 0.40 x 44.1
N = 17.64
Net force = F - Fₙ
So,
Net force = 44.1 N - 25 N
Net force = 19.1
Now we know the net force so to calculate acceleration
Using formula,
F = ma
a = F / m
a = 19.1 / 4.5
a = 4.24 m/s²
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what are harmful micro-organismo and what are useful micro products
Answer:
Microorganisms are used in various industries for the production of various metabolites such as ethanol, riboflavin, lactic acid, and butanol. There are a number of microorganisms that are responsible for food spoilage, diseases and infections. Such microorganisms are known as harmful microorganisms
Explanation:
