Answers
The slope of the graph is 0.5 m/s² and when t = 1.5 s, the predicted displacement (d) of the object is 0.75 meters.
To plot the velocity vs. time graph, we'll use the given data points:
Duration, At (s): 2.0, 4.0, 6.0, 8.0, 10.0, 12.0
Velocity, v (m/s): 6.0, 7.0, 8.0, 9.0, 10.0, 11.0
Let's plot these points on a graph:
Time (s) [x-axis] | Velocity (m/s) [y-axis]
--------------------------------------------
2.0 | 6.0
4.0 | 7.0
6.0 | 8.0
8.0 | 9.0
10.0 | 10.0
12.0 | 11.0
After plotting the points, we can connect them with a straight line to represent the motion of the object. This line represents the velocity vs. time relationship.
Now, let's calculate the slope of this line. The slope of a line represents the rate of change of the dependent variable (velocity) with respect to the independent variable (time). In this case, it gives us the acceleration of the object.
Using the formula for calculating the slope of a line:
Slope (k) = (Change in velocity) / (Change in time)
For the first two points:
Change in velocity = 7.0 - 6.0 = 1.0 m/s
Change in time = 4.0 - 2.0 = 2.0 s
Slope (k) = 1.0 m/s / 2.0 s = 0.5 m/s²
Therefore, the slope of the graph is 0.5 m/s².
Now, to answer part B, the physical significance of the slope value is that it represents the object's acceleration. In this case, the constant acceleration experienced by the object is 0.5 m/s².
Moving on to part C, we are given the equation d = kt, where d represents the displacement and t represents time. Since the object is experiencing constant acceleration, the equation can be rewritten as d = 0.5t, where 0.5 is the acceleration (k).
To predict the value of "d" when t = 1.5 s, we can substitute the value of t into the equation:
d = 0.5 * 1.5 = 0.75 meters
Therefore, when t = 1.5 s, the predicted displacement (d) of the object is 0.75 meters.
For more such questions on displacement,click on
https://brainly.com/question/14422259
#SPJ8
The probable question may be:
An object is subjected to a constant acceleration along a frictionless track. A student measures its velocity (v) after specific durations (At). The student uses a graph to analyze the truck's motion.
Duration, At, (s) :- 2.0,4.0,6.0,8.0,10.0,12.0.
Velocity, v, (m/s) :- 6.0,7.0,8.0,9.0,10.0,11.0
A. Plot the velocity (in meters/sec) vs. time (seconds). The velocity is the y-axis and time is the x-axis. Use any graphing software you like or graph this data in pencil on graph paper. Excel has a nice graphing package. Calculate the slope of this graph. You will
B. What is the physical significance of the slope value computed in part A?
C. Having determined the slope of the line, you can now write d = kt. Use this equation to predict a value of "d" when t = 1.5 s.
Related Questions
A vector has the components Ax=29 m and Ay= 18 m. What is the magnitude of this vector? What angle does this vector make with the positive x axis?
Answers
The magnitude of the vector is approximately 35.85 m.
The angle that this vector makes with the positive x-axis is approximately 32 degrees.
What is the magnitude of this vector?
To find the magnitude of the vector with components Ax=29 m and Ay=18 m, we use the Pythagorean theorem:
|A| = √(Ax^2 + Ay^2)
|A| = √(29^2 + 18^2)
|A| = √(841 + 324)
|A| = √1165
|A| = 34.13 m
To find the angle that this vector makes with the positive x-axis, we can use the inverse tangent function:
θ = tan^-1(Ay/Ax)
θ = tan^-1(18/29)
θ = 31.82 degrees
Learn more about angle of vector here: https://brainly.com/question/25705666
#SPJ1
Two small, identical conducting spheres repel each other with a force of 0.020 N when they are 0.35 m apart. After a conducting wire is connected between the spheres and then removed, they repel each other with a force of 0.055 N. What is the original charge on each sphere
Answers
Answer:
why does anyone need to know
Explanation:
1 plus one = 69
identify the origins of breakdown when using a spectrum analyzer
Answers
Four regions of the electromagnetic spectrum that astronomers use when observing objects in the space are the following enumerated answers.
1. First is Ultraviolet
2. Next is Infrared
3. Then the radio
4. Lastly the Visible lights.
These are the answers to the problem.
Car A uses tires for which the coefficient of static friction is 0.384 on a particular unbanked curve. The maximum speed at which the car can negotiate this curve is 16.7 m/s. Car B uses tires for which the coefficient of static friction is 0.809 on the same curve. What is the maximum speed at which car B can negotiate the curve
Answers
Use the drop-down menus to complete each sentence.
The height of the cylinder is manipulated. This is the
variable.
The temperature of the water changes as the height of the cylinder changes. The temperature of the water is therefore the
variable.
A “constant” is a parameter that stays the same regardless of the variables. One parameter of the system that is held constant is the
.
Answers
One parameter of the system that is held constant that can be considered is the mass of the water.
What is a constant?In science, the constant is a type of unmodified variable that remains equal along with the experimental procedure.
The constants of a particular system must be considered and they cannot change in experiments or observations.
In conclusion, one parameter of the system that is held constant that can be considered is the mass of the water.
Learn more about the constant of the system here:
https://brainly.com/question/17367653
#SPJ1
Each of the rods depicted below were machined from same stock metal. They were originally machined to be the same length, but their cross-sectional areas were different. If axial force is applied to each rod such that they all change length by the same amount, which rod experienced the largest force
Answers
The force required to extend a rod increases as the cross sectional area
increases.
The rod that experiences the largest force is rod B
Reason:
The elongation of a rod by the application of a force is given by the
following formula;
\(\Delta L = \dfrac{F \cdot L}{A \cdot E}\)
From the above equation, we have that the elongation is inversely
proportional to the cross sectional area, such that the extension of a rod by
a given force reduces as the cross sectional area of the rod increases.
Therefore, the force required to extend the length of a rod by a specific
amount increases as the cross sectional area of the rod increases,
indicating that the rod with the largest cross sectional area require the
most force and therefore, experiences the largest force.
The rod that experiences the largest force is the rod with the largest cross
sectional area, which is rod B
Learn more here:
https://brainly.com/question/12937199
A 100 kg mass, initially at rest, is blown apart into two 50.0 kg pieces.
After the blast, the two masses are moving apart with a relative velocity
of 100 m/s. The total kinetic energy after the explosion is
Answers
Answer:
Since the center of mass is zero prior to the explosion, it must also be zero after the explosion because no external forces are present,
KE1 = 1/2 (M/2) * 50^2 m2/s^2= 25 * 2500 J = 62,500 J
The total KE will be 2 * 62,500 J = 125,000 J
A squirrel drops an acorn onto the head of an unsuspecting dog. The acorn falls 4.0 meters before it lands on the dog. We can ignore air resistance.
How many seconds did the acorn fall?
Answers
Answer:
66
Explanation:
A diver runs horizontally off the end of a diving board with an initial speed of 2.15 m/s . If the diving board is 3.00 m above the water, what is the diver's speed just before she enters the water?
Answers
Using the equations of kinematics, the velocity before entering the water is 7.9 m/s.
What is the speed before jumping into the water?In the case that we want to apply the principles of kinematics we have to turn to the equations of uniformly accelerated motion. Now we have;
v^2 = u^2 + 2gh
v = final velocity
u = initial velocity
h = distance
g = acceleration due to gravity
Thus, we have to obtain the final velocity which is the velocity before diving into the water.
Hence;
v^2 = ( 2.15)^2 + 2 * 9.8 * 3
v = √( 2.15)^2 + 2 * 9.8 * 3
v= √4.6 + 58.8
v = 7.9 m/s
Learn more about kinematics:https://brainly.com/question/7590442
#SPJ1
a rectangular coil of n turns and of length a and width b is rotated at frequency f in a uniform magnetic field , as indicated in fig. 30-40. the coil is connected to co-rotating cylinders, against which metal brushes slide to make contact. (a) show that the emf induced in the coil is given (as a function of time t) by 2pfnabb sin(2pft) 0 sin(2pft).
Answers
ε = 2πfNabB sin2πft = εsin2πft this is the proved equation for the emf induced in the coil as a function of time t.
What does an EMF mean?Electromagnetic radiation-induced electric and magnetic forces. Researchers are examining whether the electromagnetic fields (EMFs) produced by electrical equipment, wireless and cellular cellphones, and power lines might result in cancer or other negative health effects. likewise known as electromagnetic field.
How to prove that emf induced in the coil as a function of time t ?Since, the coil of conducting wire is placed in a magnetic field,
number of turns = N
frequency = f
area = A
now, angular velocity of coil, ω = 2πf
in time t coil is rotated by θ angle, θ = ωt
Magnetic field through coil, φ = ΦB. dA = ΦB.dAcosθ
dA = area of N turns = NA
φ = NABcosθ
After putting value of θ, φ = NABcosωt
ε = dφ/dt
ε = d/dt×NABcosωt
= -NAB [-ωsinωt]
= NABωsinωt
ε = NAB2πft
area of rectangular coil, A = a×b
ε = Nab2πfsin2πft
sin2πft = 1, emf will be maximum
εmax = ε' = NabB2πf
ε = ε'sin2πft
ε = 2πfNabB sin2πft = εsin2πft
Hence proved that the emf induced in the coil is given as a function of time t.
To know more about emf visit
brainly.com/question/16626131
#SPJ4
How does gravitational force relate to distance?
Answers
Answer:
Gravitational force related to distance because when an object is closer to the center of the earth the stronger the gravitational force is the farther an objects it from the center of the earth the weaker the gravitational force is. For example if you are on the moon there is no gravity because the gravitational force of the moon to the center of the earth is father away then for example standing on earth.
If the mass of a basketball is 18 times that of a tennis mass, can they ever have the same momentum? Explain your answer
Answers
Answer:
Yes
Explanation:
Yes. The momentum is the same when the speed of the tennis ball is 18 times greater than the speed of the basketball and the velocities of both objects are in the same direction.
The half-life of a radioactive isotope is 210 d. How many days would it take for the decay rate of a sample of this isotope to fall to 0.58 of its initial rate?
Answers
It would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
1. The decay rate of a radioactive isotope is proportional to the number of radioactive atoms present in the sample at any given time.
2. The decay rate can be expressed as a function of time using the formula: R(t) = R₀ * \(e^{(-\lambda t\)), where R(t) is the decay rate at time t, R₀ is the initial decay rate, λ is the decay constant, and e is the base of the natural logarithm.
3. The half-life of a radioactive isotope is the time it takes for half of the radioactive atoms in a sample to decay. In this case, the half-life is given as 210 days.
4. Using the half-life, we can find the decay constant (λ) using the formula: λ = ln(2) / T₁/₂, where ln(2) is the natural logarithm of 2 and T₁/₂ is the half-life.
5. Substituting the given half-life into the formula, we have: λ = ln(2) / 210.
6. Now, we need to find the time it takes for the decay rate to fall to 0.58 of its initial rate. Let's call this time "t".
7. Using the formula for the decay rate, we can write: 0.58 * R₀ = R₀ * e^(-λt).
8. Simplifying the equation, we get: 0.58 = \(e^{(-\lambda t\)).
9. Taking the natural logarithm of both sides, we have: ln(0.58) = -λt.
10. Substituting the value of λ from step 5, we get: ln(0.58) = -(ln(2) / 210) * t.
11. Solving for t, we have: t = (ln(0.58) * 210) / ln(2).
12. Evaluating the expression, we find: t ≈ 546.
13. Therefore, it would take approximately 546 days for the decay rate of the sample of this radioactive isotope to fall to 0.58 of its initial rate.
For more such questions on decay rate, click on:
https://brainly.com/question/27542728
#SPJ8
A 2.5 m ramp is used to load a truck 1.0 m off of the ground. A man uses 600 N of force to load a box weighing 1200 N. What is the efficiency of the ramp? What is the mechanical advantage of the ramp?
Answers
The efficiency of the ramp is 80% and the mechanical advantage is 2.
What is the efficiency of the ramp?
To solve this problem, we can use the formulas for efficiency and mechanical advantage:
Efficiency = (output work / input work) x 100%
Mechanical Advantage = output force / input force
First, we need to find the output force and output work of the ramp.
The output force is the weight of the box, which is 1200 N.
The output work is the force applied by the output force over the distance it moves. Since the box moves a distance of 1.0 m up the ramp,
the output work is:
Output work = output force x output distance
Output work = 1200 N x 1.0 m
Output work = 1200 J
Next, we need to find the input force and input work of the ramp.
The input force is the force applied by the man, which is 600 N.
The input work is the force applied by the input force over the distance it moves. Since the man moves a distance of 2.5 m along the ramp,
the input work is:
Input work = input force x input distance
Input work = 600 N x 2.5 m
Input work = 1500 J
Now we can calculate the efficiency and mechanical advantage:
Efficiency = (output work / input work) x 100%
Efficiency = (1200 J / 1500 J) x 100%
Efficiency = 80%
Mechanical Advantage = output force / input force
Mechanical Advantage = 1200 N / 600 N
Mechanical Advantage = 2
Learn more about efficiency of ramp here: https://brainly.com/question/29441714
#SPJ1
If some students Are you playing tug-of-war and 10 newtons of force is used in the right side and 5 N are used on the left side what is the final force placed on the rope
Answers
The value of force acting on the right side is,
\(F_r=10\text{ N}\)The value of force on the left side is,
\(F_l=5\text{ N}\)Net force acting on the rope is,
\(\begin{gathered} F_{net}=F_r-F_l \\ F_{net}=10-5 \\ F_{net}=5\text{ N} \end{gathered}\)Thus, the net force acting on the rope is 5 N and is acting on the right side of the rope.
A sample of The halflife of the substance is 21 minutes the number of atoms remaining underway. radioactive Substances has 812X1020 atom Determine the number of atoms remaining
Answers
After 42 minutes, there are 203 x \(10^{20\) atoms remaining of the radioactive substance.
To determine the number of atoms remaining after a certain amount of time has passed, we can use the formula for radioactive decay:
N(t) = N0 * \((1/2)^{(t / T)\),
where:
N(t) = number of atoms remaining at time t,
N0 = initial number of atoms (812 x \(10^{20\) atoms),
T = half-life of the substance (21 minutes), and
t = time that has passed.
Let's calculate the number of atoms remaining after a given time.
Suppose the time passed is t = 42 minutes (twice the half-life).
N(t) = 812 x \(10^{20\) * \((1/2)^{(42 / 21)\)
N(t) = 812 x \(10^{20\) * \((1/2)^2\)
N(t) = 812 x \(10^{20\) * 1/4
N(t) = 203 x \(10^{20\) atoms.
So, after 42 minutes, there are approximately 203 x \(10^{20\) atoms remaining of the radioactive substance.
know more about radioactive here:
https://brainly.com/question/1236735
#SPJ8
Based on the passage, how do the boys resolve their conflict?
They decide to fight to the death.
They decide not to care who the winner is.
They decide to fight a rematch.
They decide to end their friendship.
Answers
the answer is B
i jus took the assement
Answer:
B
Explanation:
What compound is a product of photosynthesis?
Group of answer choices
Water
Carbon Dioxide
Glucose
Sunlight
Answers
Answer: Glucose
Explanation:
Describe how electric potential energy, kinetic energy, and work change when two charges of opposite sign are placed near each other.
Answers
Answer:
As opposites attract, q is pulled to Q. And that force from Q is working on q, force over distance. Which means the potential energy q started with is being converted into kinetic energy. q is accelerating and picking up speed.
Explanation:
PLSSSSS HELP!
In the Olympic games, a female athlete ran 5 km in 14 mins. What was her average speed during the race?
Answers
Answer:
Average speed during the race = 357.14 meter/min
Explanation:
Given:
Distance cover in race = 5 km = 5,000 meter
Time taken by athlete = 14 min
Find:
Average speed during the race
Computation:
Speed = Distance / Time
Average speed during the race = Distance cover in race / Time taken by athlete
Average speed during the race = 5,000 / 14
Average speed during the race = 357.14 meter/min
A Martian is on Mars, where the acceleration
gravitational is gMars=0.38gEarth, the ball oscillates with a period of 1.5s when it swings like a pendulum. On a trip, the Martian finds himself on a planet where the ball oscillates with a period of 0.92s.
What planet is it on?
First we must find the length of the pendulum:
Answers
The planet that a Martian is on is Earth.
The formula to calculate the period from a simple pendulum
T = 2π × √(L ÷ g)
T ÷ 2π = √(L ÷ g)
(T ÷ 2π)² = L ÷ g
T² ÷ 4π² = L ÷ g
L = (T² × g) ÷ 4π²
the length of the pendulum (m)π = 3.14g = the acceleration due to gravity (m/s²)T = period (s)Compare from pendulum on Mars and another planet
g Earth = gg Mars = g₁ = 0.38 gT on Mars = T₁ = 1.5 sT on another planet = 0.92 sAssume the same pendulum on Mars is the same as the pendulum on another planet. Then the length of the two pendulums is the same.L₁ = L₂g Mercurius = 3.7 m/s²g Venus = 8.87 m/s²g Earth = 9.8 m/s²g Mars = 3.721 m/s²g Jupiter = 24.79 m/s²g Saturn = 10.44 m/s²g Uranus = 8.87 m/s²g Neptune = 11.15 m/s²
L₁ = L₂
(T₁² × g₁) ÷ 4π² = (T₂² × g₂) ÷ 4π²
T₁² × g₁ = T₂² × g₂
1.5² × 0.38g = 0.92² × g₂
2.25 × 0.38g = 0.8464 × g₂
0.855g = 0.8464 × g₂
g₂ = 0.855g ÷ 0.8464
g₂ = 1.0101g
g₂ = 1.0101 × 9.8
g₂ = 9.89
The other planet is Earth.
Learn more about period here: https://brainly.com/question/26449711
#SPJ1
PLEASE ANSWER FASG I WILL MARK BRAINELIST PLEASEEEEE
The number of protons in the nucleus of an atom determines the species of the atom, i.e., the element to which the atom belongs. An atom has the same number of protons and neutrons. But the electron number cannot be used instead because (5 points)
a. electrons are not within the nucleus
b. electrons are negatively charged
c. electrons can be removed from or added to an atom
d. electrons are lighter than protons
Answers
The electron number cannot be used instead because electrons can be removed from or added to an atom (option C)
Why the electron number cannot be used instead?The element of an atom is determined by its proton count, while the electron count can exhibit variability. Take, for instance, a sodium atom, which encompasses 11 protons and 11 electrons. However, it has the capacity to relinquish one electron, transforming into a sodium ion housing only 10 electrons.
This occurs due to the relatively loose binding of electrons to the nucleus, enabling their removal through the influence of an electric field or alternative mechanisms.
Learn about electron here https://brainly.com/question/13998346
#SPJ1
The principle of cross-cutting relationships states that certain features, such as faults, are than the rock layers they cut through. These features are breaks in Earth’s surface where rock has moved sideways, upward, or downward. formations are made of molten rock that has cooled. Those on Earth’s surface are called . Those beneath Earth’s surface are called .
Answers
what is kinematics ;-;
explain.
Answers
Answer:
the branch of mechanics concerned with the motion of objects without reference to the forces which cause the motion.
Explanation:
Which statement about spending the day of January 15th in the cities of
Chicago and Sydney is true?
A Both cities will be experiencing winter.
B Both cities will be experiencing summer.
C Chicago will be experiencing winter, while Sydney is experiencing summer.
D Chicago will be experiencing summer, while Sydney is experiencing winter.
Answers
Answer:
C
Explanation:
Winter in North
Summer in south
Select the correct answer.
Object A attracts object B with a gravitational force of 5 newtons from a given distance. If the distance between the two objects is reduced in half, what will
be the changed force of attraction between them?
O A.
B.
C.
D.
O E.
2.5 newtons
10 newtons
15 newtons
20 newtons
25 newtons
© 2023 Edmentum. All rights reserved.
Reset
Next
Answers
The distance between the two objects is reduced in half, that will be the changed force of attraction between them is option (E) 2.5 newtons.
According to Newton's law of universal gravitation, the force of attraction between two objects is inversely proportional to the square of the distance between them.
If the distance between Object A and Object B is reduced to half, the force of attraction will increase by a factor of 2² = 4. This means that the new force of attraction will be one-fourth of the original force.
Given that the original force of attraction is 5 newtons, the changed force of attraction between Object A and Object B, when the distance is reduced in half, will be 5 newtons / 4 = 1.25 newtons, which can be rounded to 2.5 newtons.The correct answer is option e.
Know more about Newton's law here:
https://brainly.com/question/25545050
#SPJ8
Hey any physicist or engineer around. am giving brainliest to anyone who will answer this question.
Answers
Answer:
N = 167 Newtons
R = 727 Newtons
Explanation:
i) For static equilibrium, moments about any convenient point must sum to zero.
A moment is the product of a force and a moment arm length. Only the force acting perpendicular to a moment arm passing through the pivot point makes a moment.
ii) I will ASSUME the two moment arms are 0.05m and 0.15 m
CCW moments about the fulcrum are
190 N(0.2 m) + 280 N(0.05 m) = 52 N•m
CW moments are (N)N(0.15 m + 90 N(0.3 m) = 27 + 0.15N N•m
For static equilibrium, these must be equal
27 + 0.15N = 52
0.15N = 25
N = 166.6666666...
Sum moments about N to zero
(Same as saying CW and CCW moments must balance)
190(0.2 + 0.15) + 280(0.05 + 0.15) - R(0.15) - 90(0.3 - 0.15) = 0
R = 726.6666666...
We could verify this by summing vertical forces to zero.
R - 190 - 280 - 166.666666 - 90 = 0
R = 726.6666666...
The Image shows a magnetic field around the poles of a magnet. Identify the areas where the magnetic force is the strongest.
N
Answers
Answer:
strongest are at the points of the north pole and the south pole, specifically between the red box and the letter of each pole.
Explanation:
The lines of magnetic force are drawn so that the density of lines is proportional to the intensity of the magnetic field.
Therefore, the sections where the magnetic field is strongest are at the points of the north pole and the south pole, specifically between the red box and the letter of each pole.
A car with a mass of 1200kg is traveling west at 25 m/s collides head on with highway barrier. The car comes to rest in 0.35 seconds . What is the magnitude of the force and the impulse applied to the car
Answers
The magnitude of the force and the impulse applied to the car are 85714 N and 30000 N-s respectively.
What is force?
The definition of force in physics is: The push or pull on a massed object changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. It has a direction and a magnitude.
The magnitude of the force applied to the car = change in momentum/time interval
= (1200 kg × 25 m/s - 1200 kg×0)/0.35 second
= 85714 N.
The impulse applied to the car = change in momentum
= (1200 kg × 25 m/s - 1200 kg×0)
= 30000 N-s.
Learn more about force here:
https://brainly.com/question/13191643
#SPJ1
A simple motor converts _________________ energy into ___________________ energy.
Answers
Answer:
A simple motor converts electrical energy energy into mechanical energy.electrical transfers into mechanical energy Explanation: