velocity of the first car will decrese after the collision.
Momentum is conserved so when the mass of the moving system is increased by the addition of the second car the velocity will be less than that of the first car before the collision.
Most often, the collision between the objects is described in terms of conservation of momentum. In the event of an isolated system interacting with the objects, the momentum is preserved. The starting and ultimate momentum of an isolated system will be the same since there is no external force operating on the system.
When a collision happens between the two objects in the isolated system, the total momentum before the collision and the total momentum after the collision are identical. Elastic and inelastic collisions are the two forms of collision.
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A torpedo fired from a submerged submarine is propelled through the waterwith a speed of 20.00 m/s and explodes upon impact with a target 2000.0 maway. If the sound of the impact is heard 101.4 s after the torpedo was fired,what is the speed of sound in water? (Because the torpedo is held at a constantspeed by its propeller, the effect of water resistance can be neglected.)
Given,
The initial speed, u=20.00 m/s
The distance between the submerine and the target is d=2000.0m
The sound of impact is heard after T=101.4 s.
To find
The speed of sound in water.
Explanation
Here the total time taken to reach the submarine is the sum of thetime taken by the torpedo to reach the target and the time taken for it to come back.
Let the speed be v.
Thus,
[tex]\begin{gathered} T=\frac{d}{u}+\frac{d}{v} \\ \Rightarrow101.4=\frac{2000}{20}+\frac{2000}{v} \\ \Rightarrow v=1428.6\text{ m/s} \\ \end{gathered}[/tex]Conclusion
Speed of the sound in water is 1428.6 m/s
help please i have a 17 as a grade :)
Given
A 50kg boy
A 100 kg father
Speed (both) 5 m/s
Procedure
Kinetic energy is a form of energy that an object or a particle has by reason of its motion
For the boy
[tex]\begin{gathered} K_b=\frac{1}{2}mv^2 \\ K_b=\frac{1}{2}\cdot50\operatorname{kg}\cdot(5m/s)^2 \\ K_b=625J \end{gathered}[/tex]For the father
[tex]\begin{gathered} K_f=\frac{1}{2}mv^2 \\ K_f=\frac{1}{2}\cdot100\operatorname{kg}\cdot(5m/s)^2 \\ K_f=1250J \end{gathered}[/tex]Now, let's compare the kinetic energy between father and boy
[tex]\begin{gathered} \frac{father^{\prime}s\text{ KE}}{boy^{\prime}s\text{ KE}} \\ \frac{1250J}{625J} \\ \frac{father^{\prime}s\text{ KE}}{boy^{\prime}s\text{ KE}}=2 \end{gathered}[/tex]The father's KE is twice the boy's kinetic energy
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What do all living things constantly engage in
All living things are constantly engaged in Homeostasis.
Homeostasis is the capacity to sustain a comparatively constant internal condition that endures despite changes in the external environment. To consume energy and eventually live, all living things—from plants to puppies to people—must control their interior environments. For numerous reasons, the body sustains homeostasis. Body temperature, blood sugar levels, and varying pH levels are a few of them. Not merely at the level of the entire body as it is for temperature, homeostasis is maintained at several levels.
Homeostasis is a state that can be preserved by all living things. They have systems in place to regulate things like their internal temperature, water balance, and acidity. Normal cell functions that take place inside of them depend on homeostasis. Normal life processes are interfered with if an organism can't sustain equilibrium. Ailment or even death might follow.
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You place a box weighing 299.7 n on an inclined plane that makes a 43.5 angle with the horizontal. compute the component of the gravitational force acting down the inclined plane. answer in units of n.
The gravitational force acting down the inclined plane is 206.19N
The force acting along the inclined plane is opposite the frictional force and the formula to express it is:
[tex]F_{m}[/tex]= F sinФ
It is given that
F = 299.7N
Ф = 43.5 degree
Putting the value we have:
[tex]F_{m}[/tex] = 299.7 sin 43.5°
= 299.7 (0.688)
= 206.19N
Therefore the gravitational force acting down the inclined plane is 206.19N.
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a long, thin solenoid has 700 turns per meter and radius 2.50 cm. the current in the solenoid is increasing at a uniform rate of 48.0 a/s. part a what is the magnitude of the induced electric field at a point near the center of the solenoid? express your answer with the appropriate units. e
The magnitude of the induced electric field at a point near the center of the solenoid is E =0 v/m at a point 0.500 cm from the axis of the solenoid is E = 1.05 × 10^-7 v/m.
formula for magnetic field due to solenoid is ,
B=μ₀nI
E=μ₀nI/2 dI/dt
E = 4π×10^-7 × 700 ×0×48/2
E=0v/m at center of the solenoid.
at r= 0.5cm
E=4π×10^-7 × 700 ×0.5×10^-2×48/2
E=1.05×10^-4 v/m
A long, thin wire loop that is frequently wrapped around a metallic core is referred to as a solenoid in physics. When an electric current is sent through it, the solenoid creates a magnetic field. Solenoids play a crucial role since they can generate precise magnetic fields and function as electromagnets. Its magnetic field has a form that is highly reminiscent to a bar magnet's field when a direct electric current is conducted through it. In a solenoid, the field is powerful and constant. A greater overall magnetic field is created as a result of the little magnetic fields that are produced by the current in each turn of the coil.
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please answer questions 15, 16, and 17 below for a 2m long steel coil spring with a diameter of 2cm in a passenger vehicle is exposed to a force of 2,000 n. if the length of the coil extends elastically to 2.2m upon this force, please calculate
The question is incomplete, however 7.1 X 10^6 N/m^2 is Young's Modulus of 2m long steel coil spring with a diameter of 2cm in a passenger vehicle is exposed to a force of 2,000 N. If the length of the coil extends elastically to 2.2m upon this force.
[tex][Y=Fl\pir^2e],[Y=4000 \cdot2/\pi0.1884/2\pi^2\cdot0.4)][/tex]
Y = 7.1 X 10^6 N/m^2
Young's modulus is a metric for determining how elastic a substance is. The ability of a body to resist attempts to deform it using an external shearing stress is referred to as its elastic property.
The internal force of a material that attempts to return the body to its former shape is known as a restoration force. Young's modulus of elasticity is the proportion of restorative stress generated and strain (deformations such an increase in length per unit length).
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an automobile of mass m is proceeding around a highway curve of 40-meter radius. the surface of the roadway is horizontal, and the coefficient of friction between the tires and the roadway is 0.50. the maximum speed with which the car can round the curve without slipping is...
The maximum speed with which the car can round the curve without slipping is 14m/s
Given the following:
The radius, r=40m
The coefficient of friction μ=0.5
Then from Newton's law:
μmg=mv^2/r
From the above equation, the speed, v of the car is:
v=√μrg, where μ=0.5, r=40m, and g=9.8m/s^2
v=√(0.5)(40m)(9.8m/s^2)
v=√196
v=14m/s
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A pilot drops a bottle out an airplane. If the plane was flying at an altitude of 500 m
and the bottle lands 400 m horizontally from the initial dropping point, how fast was
the plane flying when the bottle was released?
The plane was flying at 39.6 m/s when the bottle was released .
[tex]h = ut + 1/2at^2[/tex]
distance fallen h= 500m
Initial velocity u=0
a=98 m/s2
[tex]h = 1/2at^2[/tex]
[tex]t^2 = 2h/a[/tex]
[tex]t^2 = 1000/9.8 = 10.1s[/tex]
[tex]d_h = 400, t = 10.1s[/tex]
[tex]v = d_h/t\\v = 400/10.1[/tex]
v = 39.6 m/s
What is Altitude ?
Altitude or Height (also known as depth) is a measurement of the distance between a reference point and a point or object, usually in a vertical or "upward" direction. The exact definition and reference value varies depending on the context (eg, aeronautics, geometry, geodesy, sports, or barometric pressure). Although the term height is often used to refer to the height of a place above sea level, in geography the term height is often preferred for this use.
The vertical measurement of distance in the "down" direction is usually called depth.
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What is the weight of a 179 kg football player?
A hockey puck with an initial speed of 8.0 m/s coasts 45 m to a stop across the ice. If the force of friction on the
puck has a magnitude of 0.12 N, what is the puck's mass?
Answer:
[tex]\boxed{m = 0.16875 \;kg}[/tex]
Explanation:
The work done by a constant force F Newtons on a mass of m kg over a distance of d m at an acceleration of a m/s² is given by the equation:
[tex]W = F\cdot d[/tex]
This should be equal to the kinetic energy expended
[tex]KE = \dfrac{1}{2}m v^2[/tex]
By the law of conservation of energy,
W = KE
[tex]F\cdot d = \dfrac{1}{2}m v^2[/tex]
Given v = 8 m/s, F = 0.12N and d = 45m
[tex]0.12 \times 45 = \dfrac{1}{2} \times m \times 8^2[/tex]
[tex]5.4 = 32m[/tex]
[tex]m = \dfrac{5.4}{32}\\\\\boxed{m = 0.16875 \;kg}[/tex]
A hockey puck with an initial speed of 8.0 m/s coasts 45 m to a stop across the ice. If the force of friction on the puck has a magnitude of 0.12 N the puck's mass is 0.16875 Kg
What is work?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, it equals the product of the force's magnitude and the distance travelled for a constant force directed in the direction of motion.
The work done by a constant force F Newtons on a mass of m in kg over a distance of d in m at an acceleration of a m/s² is given by the equation:
This should be equal to the kinetic energy expended
K E = 1/2 m.v²
work, W = F.d
By the law of conservation of energy,
W = K E
Given v = 8 m/s, F = 0.12 N and d = 45 m
0.12* 45 = .5*m*8²
mass, m = 0.16875 Kg
A hockey puck with an initial speed of 8.0 m/s coasts 45 m to a stop across the ice. If the force of friction on the puck has a magnitude of 0.12 N the puck's mass is 0.16875 Kg
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suppose you were hired to build a dam. what features would you look for in a site? be sure to consider the impact on living things as well as the physical characteristics of the site.
The fact that the water is surrounded by sturdy rock, soil, and sand has some aspects that are highly advantageous if I were in charge of assessing a site for a hydraulic dam to generate electricity.
A hydraulic dam is a barrier constructed through a river or lake to redirect or hold back water. The Engolasters dam, for example, uses its related infrastructure to generate energy, create a vertical drop, and retain water from the rivers.At 1,616 meters above sea level, Lake Engolasters is an oblong lake located in Andorra's Encamp parish (5,302 ft). created in a depression left by a glacier.Therefore we know that, a hydraulic dam is where power is generated.
Electricity is produced at the dam and distributed throughout the entire nation. A dam is formed by six main elements.
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Can you please help me with this question no 15 ?? Anyone please
The weight of the object in the newly heavenly body is 3000 N.
In science and engineering, the weight of an object is the pressure performed on the item due to gravity. a few widespread textbooks outline weight as a vector quantity, the gravitational pressure performed on the item. Others define weight as a scalar quantity, the significance of the gravitational pressure.
Given,
mass of earth = M
mass of new heavenly body = 12 M
the radius of the earth = r
the radius of the new heavenly body = 4r
mass of the object = m (mass always remains constant)
[tex]\frac{mM}{r^2}[/tex]
using the formula of gravity,
G₁ = g[tex]\frac{mM}{r^2}[/tex]
G₂ = g[tex]\frac{m12M}{4r^2}[/tex]
comparing G₁ and G₂
G₁ = 1000 N given
G₁ / G₂ = M × 4r² / 12 M r²
G₂ = 1000 × 12 / 4
= 3000 N
The measure of the pressure of gravity performing on a frame. The method for weight is given by using: w = mg. As weight is a force its SI unit is also the same as that of pressure, the SI unit of weight is Newton (N).
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A humming bird flies 1.m along a straight path at a height of 5.9 m above the ground. Upon spotting a flower below, the hummingbird drops directly downward 1.8 m to hover in front of a flower.
What is the magnitude of the hummingbird’s total displacement?
The hummingbird's total displacement is 6.168m, 16.96⁰ Southwest.
Construct a right-angled triangle from the bird's displacement
⇒From the diagram uploaded; we calculate the resultant/total displacement (R) of the bird using Pythagoras theorem,
R² = 5.9² + 1.8²
R² = 38.05
R = √38.05
R = 6.168 m
calculate the direction of the bird's displacement
From the vector diagram head-to-tail rule, we determine the cardinal direction;[tex]tan\alpha = \frac{1.8}{5.9}[/tex]
From the diagram; [tex]tan\alpha = 0.3050[/tex]
[tex]\alpha = tan^{-1} 0.3050[/tex]
[tex]\alpha = 16.96^{o}[/tex]
Therefore the hummingbird's total displacement is 6.168m, 16.96⁰ Southwest.
What is displacement?Displacement is defined as a change in the location of an object. It is a vector quantity and has direction and magnitude. It is represented as an arrow pointing from the starting position to the final position. For example - when an object moves from point A to point B, the position of the object changes.
Displacement (symbolized d or s ), also called length or distance, is a one-dimensional quantity representing the difference between two specified points. The standard SI unit of displacement is the meter (m).
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A 10,000 N elevator is going upward and gaining speed. It is pulled upward by 4 steel cables, each exerting a 4,000 N tension force. What’s the net force?
The combined weight of the elevator box and the passenger riding inside it acts as the pulling force on the wires in an elevator. Therefore, in a perfect world, the cable's tension would match the elevator's weight when it is at rest.
How can I determine an elevator cable's tensile force?
Total tension is equal to the weight plus the force of acceleration when lift is upward. Total tension equals the difference between weight and force caused by acceleration as lift decreases.
In medium lengths, tension exerts its force, especially in flexible materials like rope or cord. The force of tension is still a gravitational force. When the body moves.
The net force is the total of all forces acting on an object. According to Newton's Second Law, there must be a net force exerted on an item in order for it to accelerate. If an object's net force is zero, it is said to be in equilibrium and not moving forward.
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a solenoid has 15 turns per centimeter of its length. the solenoid is twisted into a circle so that it becomes shaped like a toroid. what is the magnetic field at the center of each turn of the toroid? the current is 29 mama .
The magnetic field at the center of each turn of toroid is: 2.826×10⁻⁵ T
What is a magnetic field?Magnetic field is a vector field in surrounding of a magnet, electric current carrying conductor or a changing electric field, in which magnetic forces can be experienced.
Magnetic field of a toroid is calculated as (B): μ₀nI
Where, μ₀= permeability
n= Number of turns in toroid
I= Current
B= Magnetic field
In the given question,
n=15 turns/cm
I=15mA
Now turns per meter length is: 15/10⁻²=1500turns per meter
The magnetic field at the center of each turn of the toroid is(B): μ₀nI
B= (4[tex]\pi[/tex]×10⁻⁷)(1500)(15×10⁻³A)
B= 2826×10⁻⁸ T
B= 2.826×10⁻⁵ T
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The location of magnetic north changes over time in its relation to true north. This angular difference between magnetic north and true north is called.
Declination. As you can see, the position has a significant impact on the compass's direction. Declination, which is measured in degrees on your map and represents the angle between magnetic north and true north.
The compass does not always point precisely toward geographic north on the surface of the Earth. An angle known as "declination" describes the compass's departure from true north (or "magnetic declination"). If you were to stand at the north geomagnetic pole, your compass would be held horizontally as usual and would not have a preference to point in any specific direction. The same would be true if you were to stand at the south geomagnetic pole. The north-pointing end of your compass would point up at the south geomagnetic pole if you were to hold it on its side, and it would point down at the north geomagnetic pole.
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Based on this law, if a collapsing cloud is isolated in space with no external forces, what must happen to it as its size decreases?.
Based on law of conservation of angular momentum if a collapsing cloud is isolated in space with no external forces, the cloud will spin faster, the size will go on decreasing and the angular momentum will go on increasing that is reduction in radius and it will start spinning faster.
What is Nebular Theory?According to the nebular theory, a cloud of gas and dust must gravitationally collapse into a disk in order for planets to form inside. The disk must flatten out to fit observations. what causes this flattening to happen? Take the law of conservation of angular momentum, which states that an amount related to an object's size(its moment of inertia) times the rate at which rotates (angular speed) must always remain constant if no external forces are acting on the object.
Therefore, if a collapsing cloud is isolated in space with no external forces, the cloud will spin faster the size will go on decreasing and the angular momentum will go on increasing that is reduction in radius and it will start spinning faster.
What is law of conservation of angular momentum?Principle of conservation of angular momentum states that, if no external torque acts on a system, the total angular momentum of the system remains constant. If I be the momentum of inertia of a body about a given axis of rotation and w be its angular velocity, then I w= constant
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shows a two-ended "rocket" that is initially stationary on a frictionless floor, with its center at the origin of an x axis. the rocket consists of a central block c (of mass m
What is the velocity of block C at t = 2.80 s is v₁=0.6 m/s and v₂= -0.15 m/s b. d=0.18m is the position of block C's center at that time.
The term "rate at which an object changes its position" is used to describe velocity, a vector quantity. Imagine someone moving quickly, taking one stride ahead, one step back, and constantly returning to their starting place. While there might be a frenzy of activity as a result, the velocity would be nil. The motion would never produce a change in position because the subject always returns to their starting place. Since the rate at which a position changes determines velocity, this motion has zero velocity. A person in motion must exert every effort to move farther from their starting location than necessary in order to increase their velocity.
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An automobile travels for 90 minutes along a highway. The graph shows the progress of the automobile, with its start point designated as distance = 0 km.
What is the automobile's instantaneous velocity at time = 60 seconds?
0.50 km/min
1.0 km/min
−0.40 km/min
0.33 km/min
Taking the gradient from point B to P, 0.33 km/min is the automobile's instantaneous velocity. Option D is the right answer.
What is Instantaneous Velocity ?Instantaneous velocity of a moving body is the velocity of the body at an instant of time or at a specific time.
Given that an automobile travels for 90 minutes along a highway. From the graph, it is shown that the velocity is constant at point B to point Point P.
The automobile's instantaneous velocity at time = 60 seconds can be calculated by using the gradient formula along the line BP since the velocity is constant from point B to point P
Gradient = Δ distance / Δtime
Velocity V = (30 - 15) / (75 - 30)
V = 15 / 45
V = 0.33 Km/min
Therefore, the automobile's instantaneous velocity at time = 60 seconds is 0.33 km/min
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4. A ball is thrown horizontally with an initial velocity of 10 m/s off a cliff and spends 5 seconds in the air before hitting the ground. What is the height of the cliff? How far does the ball travel before hitting the ground.
The height of the cliff is 122.5 m and the farthest distance covered equals to 50 m.
What is projectile motion?
Projectile motion is a form of motion experienced by an object or particle that is projected near Earth's surface and moves along a curved path under the action of gravity only.
Given is a ball that is thrown horizontally with an initial velocity of 10 m/s off a cliff and spends 5 seconds in the air before hitting the ground.
Horizontal initial velocity = u[x] = 10 m/s
Vertical initial velocity = u[y] = 0 m/s
Vertical acceleration = a[y] = 9.8 m/s²
Using the second equation of motion along the vertical direction -
S[y] = u[y]t + 1/2a[y]t²
S[y] = 0 + 1/2 x 9.8 x 5 x 5
S[y] = 12.5 x 9.8
S[y] = 122.5 m
Horizontal distance covered = u[x] x t = 10 x 5 = 50 m
Therefore, the height of the cliff is 122.5 m and the farthest distance covered equals to 50 m.
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in an elastic collision, a 400-kg bumper car collides directly from behind with a second bumper car traveling in the same direction. the mass of the leading bumper car is 30.0% greater than that of the trailing bumper car. the initial speed of the leading bumper car is 5.60 m/s and that of the trailing car is 6.00 m/s.
According to momentum conservation momentum before collision is equal to momentum after collision. velocity of trailing care after collision v1=5.047 m/s velocity of leading can after collision v2=5.947 m/s .
In physics, a collision, which is also known as an impact, is the abrupt, violent coming together in close proximity of two bodies, such as two pool cues, a golf club and a ball, a hammer and a nail, two railroad cars when linked, or a falling object and a floor. The force and the amount of time the objects are in touch, in addition to the materials the two objects are made of, have an impact on the outcome of the impact. It is generally knowledge that a hard steel ball dropped on a steel plate would rebound almost to the original position from where it was dropped, while a ball made of putty or lead will not. In a collision, an object encounters a force for a predetermined period of time, which causes a change in the mass's velocity. Each object that collides with the other experiences a force. The two forces are at odds with one another but have equal power.
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,,.........................
What are the steps for using a compass and straightedge to construct an equilateral triangle? drag the steps and drop them in order from start to finish.
The first step would be to draw your circle using the compass, the second step would be to add the point to the circle, the third method would be to use the circle's radius to determine the compass's width.
You were instructed to draw a hexagon inside a circle and to list the points as you go. So, in order to pull up that image for your query, I'm going to use my snipping tool.
So, the first step would be to draw your circle using the compass, which would be step number 1. Step number 2 would then be to use the center to get the radius of your circle.
So first you would add the point on the circle, so that would be step number 2 step. Number 3 would be to use the circle's radius to set the width of the compass and then, after you have that point on the circle, you would put the compass on there and you create an arc with that compass that intersects the circle.
And then you would go ahead and mark that intersection with a point connect the consecutive points with a straight edge and then repeat the stips.
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A particle that has zero momentum must also have zero kinetic energy.Select one:O TrueO False
The kinetic energy of an object is the energy possessed by the object due to its motion. That is when the velocity of the object is zero, i.e., when the object is at rest, the kinetic energy of the object will be zero.
The linear momentum is the product of the mass and the velocity of an object. When the momentum of the object is zero, the velocity of the object is also zer.
Thus whenever a particle has a zero momentum, its velocity and hence its kinetic energy will also be equal to zero.
Therefore, the given statement is true.
The gas pressure in an oxygen tank is 3.90 atm at a temperature of 298 K. If the pressure decreases to 3.20 atm, what is the temperature of the gas in kelvin? it need to be rounded by three significant figures to
The temperature of the gas rounded to three significant figures would be 244 Kelvin.
What is an ideal gas?
It is an imaginary gas for which the volume occupies by it is negligible, this gas does not exist in a practical situation and the concept of an ideal gas is only the theoretical one.
As given in the problem, the gas pressure in an oxygen tank is 3.90 atm at a temperature of 298 K. If the pressure decreases to 3.20 atm,
By using the constant volume for the ideal gas,
P₁/P₂ = T₁/T₂
3.90 /3.20 = 298 / T₂
T₂ = 244 Kelvin
Thus, the temperature of the gas rounded to three significant figures would be 244 Kelvin.
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galaxy fragments in the early universe formed before the first stars. in dark matter mini-halos. due to gravity from large dark matter halos. in places where the universe was slightly less dense than average.
Galaxy fragments originated in the early world due to the gravity of massive amounts of dark matter.
Dark matter is any substance that primarily interacts with visible matter through gravity (e.g., stars and planets). Therefore, in theory, it need not be made up of a brand-new form of fundamental particle but rather may be built up, at least in part, of typical baryonic matter, such as protons or neutrons.
The concept of dark matter, the invisible substance whose gravitational pull is assumed to hold galaxies together, may not be the most pleasing one in physics. According to a recent study, however, if you want to get rid of it, you'll need to switch it out for something more stranger: a gravitational force that at some distances pushes large objects apart and at others draws them together. The analysis highlights how difficult it is to rationalize away dark matter.
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the timing device in an automobile’s intermittent wiper system is based on rc an time constant and utilizes 0.500 μf a capacitor and a variable resistor. determine the time constant if the resistance is 30 mω.
Our resistance is four mega houses at two seconds. Simply enter 15 seconds as R times 150.50 times 10 to the negative six digits for the calculation. We therefore have 30 Mega Ohms.
It is required to wipe the screen of an automobile on a regular basis when there is a light drizzle, when it is dirty, or when any of these conditions exist. There is a switch that uses an electrical circuit to wipe the screen. A main-wiper control circuit system and a relay control circuit are components of an intermittent wiper system. The relay control circuit uses a transistor and diode combination in an RC circuit.
According to what we've been told, our RC circuit's capacitance is 0.5 micro Farads, or 0.5 times ten to the minus six Farads. The resistance times the capacitance produces the time constant. And by multiplying both sides by C, we may find R's value. And when the time constant is divided by the capacitance, which is equal to 0.5 times ten to the minus six Farads, we have the minimum resistance, which is equal to 4.00 Mega Ohms.
The maximum time constant divided by capacitance occurs when the resistance is at its maximum. As a result, when we replace tau with 15 seconds, we obtain 30.0 Mega Ohms. To modify the frequency of the wiper blades' oscillation, the resistance must be able to shift between four and thirty megaohms.
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Help me as pleasessss help with 1,2 and 3
If u drop a ball from a tower 6 miles up where will it land
A- Alongside the tower
B-Fall upward into space
C-Downward into space
D- It will circle around the earth
The ball will land alongside the tower due to the gravitational pull of the earth. Therefore, option (A) is correct.
What is gravity?Gravity is a force that attracts any physical body which has mass towards the center of the earth. Everybody having mass exerts a force or gravitational pull on every other object with mass. Gravity is the reason the planets orbit the sun as well as the moon orbits the earth.
Every particle of matter in the universe attracts every other particle with a specific force, and that force is directly proportional to the product of the masses of those particles.
Mathematical expression for gravity can be written as:
[tex]F= G\frac{mM}{r^2}[/tex]
Where F is the force between objects, m and M are masses of objects interacting, the distance between the center of the masses is equal to 'r' and, G is the gravitational constant.
When you drop a ball from a tower 6 miles up it will land back on the surface of the earth alongside the tower due to the gravitational pull of the earth.
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An object starts at rest and experiences a constant acceleration of 4 m/s² for 3 seconds.
Sketch the acceleration-time graph for this object.
1. What was the initial velocity of the object?
2. What was the velocity of the object after 1 second?
3.What was the velocity of the object after 2 seconds?
4.What was the velocity of the object after 3 seconds?
5. Sketch the velocity-time graph for this object.
6. What was the average velocity of the 1st second?
7.What distance did the object travel in the 1st second?
8. What was the average velocity of the 2nd second?
9. What distance did the object travel in the 2nd second?
10.What was the average velocity of the 3rd second?
11. What distance did the object travel in the 3rd second?
12.Sketch the position-time graph for this object.
13.What was the displacement of the object?
14.What was the distance travelled by the object?
For the given acceleration and time, following are the different velocities.
Given:
acceleration a = 4 m/s²
time t = 3 sec
initial velocity u = 0 [ starts from rest ]
let final velocity be = v
Therefore according to the question,
velocity after 1 sec :
v = u + at
v = 0 + 4 x 1
v = 4m/s ( after 1 sec)
Velocity after 2 secs
v = 0 + 4 x 2
v= 8m/s (after 2 sec)
Velocity after 3 secs
v = 0 + 4 x 3
v = 12m/sec
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