79 kg person is parachuting and experience a down acceleration of 2.7 m/s2. This is slightly different from the downward acceleration of 2.7 m/s2, which suggests that there are additional forces acting.
The downward force acting on the person while they are parachuting is equal to the person's mass multiplied by the acceleration due to gravity (9.8 m/s2). This can be expressed mathematically as:
= F
= ma
= 79 kg x 9.8 m/s2
= 774.2 N
The mass of the parachute also contributes to the downward force acting on the person. The total downward force acting on the person is equal to the sum of the forces acting on the person and the parachute. This can be expressed mathematically as:
= F total
= F person + F parachute
= 774.2 N + (4.9 kg x 9.8 m/s2)
= 783.54 N
The acceleration of the person and parachute system is equal to the total downward force acting on the system divided by the total mass of the system. This can be expressed mathematically as:
= a
= F total / m total
= 783.54 N / (79 kg + 4.9 kg)
= 7.96 m/s2
Therefore, the acceleration of the person and parachute system is 7.96 m/s2. This is slightly different from the downward acceleration of 2.7 m/s2 that the person is experiencing, which suggests that there are additional forces acting on the system besides the downward force of gravity.
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Consider the AC circuit in the figure. The frequency of the AC source is adjusted while its voltage amplitude is held constant. The lightbulb will glow the brightest at which of the following?
A.high frequencies
B.the brightness will be the same at all frequencies
C.low frequencies
When the leg it is in has the least resistance, the lightbulb may glow brightest. Because inductive capacitance is inversely proportional to angular frequency, this occurs at low frequencies.
What generates opposition?Electrons moving through a conductors, for example a metal wire, create an electric current. The ions inside the metal may be struck by the speeding electrons. Resistance results this from, making it harder for the current to flow.
A resistance example is what?To better understand resistance, imagine how difficult it would be for a person to move from one shop to the next in a crowded market. This circumstance is undoubtedly comparable to an atom trying to get through a wire.
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If the average hang time of a professional football kick is 4.60 s, then determine the average maximum height.
The average maximum height is what?
The average maximum height will be 103.7m.
What is a Projectile?A projectile is defined as an object that has an initial velocity and follows a path that dependent on the gravitational acceleration.
The gravitational force initially will act on the opposite direction until it reach the maximum height, and right after that, the gravitational force will accelerate the speed of the projectile.
The formular used will be;
[tex]H = \frac{1}{2} gt^{2}[/tex]
In this case, the initial velocity u = 0;
where g = 9.8m/s2
t = 4.6s
[tex]H = \frac{1}{2} (9.8)(4.6)^{2}[/tex]
H = 4.9 x 21.16
H = 103.7m.
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A baseball player uses a pitching machine to help him improve his batting average. He places the 73.9 kg machine on a frozen pond. The machine fires a 0.118 kg baseball horizon-
tally at a speed of 40.8 m/s. What is the magnitude of the recoil velocity
of the machine?
Answer in units of m/s.
According to the law of conservation of momentum, the magnitude of the recoil velocity of the machine is equal to the magnitude of the initial velocity of the baseball, since the total momentum of the system (the machine and the baseball) remains constant. In this case, the magnitude of the initial velocity of the baseball is 40.8 m/s, so the magnitude of the recoil velocity of the machine is also 40.8 m/s. Answer: \boxed{40.8}.
a motor is most powerful, when the: group of answer choices the workload is longer the workload is shorter time interval for the work is shorter.
The key idea is that time and power are inversely related to each other for a given quantity of work. A more powerful engine should be able to complete the same amount of work faster, according to the power equation.
Which of the following best describes how quickly work is completed?
The rate of doing work is known as power. It is the same as the amount of energy used up in a given amount of time. The joule per second (J/s), or SI system, is the unit of power.
Is negative work even possible?Work may be positive or negative; if it has a component in the same direction as the object's displacement, it is positive work.
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If a football quarterback runs into and tackles another player by grabbing onto them, what type of collision would this technically be?
a. Elastic
b. Inelastic
Which of the following would be an example of a closed system?
a. A person pushing a refrigerator box across a rough floor
b. A water bucket being pulled up by rope from a well
c. A rolling oil drum across a smooth, frictionless marble floor
d. A large moving rock slowing down while ploughing through loose sand
''If a football quarterback runs into and tackles another player by grabbing onto them'' is Elastic collision. A closed system is a rolling oil drum across a smooth, frictionless marble floor.
What is meant by Elastic collision?A collision between two bodies in physics is referred to as an elastic collision if their combined kinetic energy stays constant. There is no net conversion of kinetic energy into other forms, such as heat, noise, or potential energy, in an ideal, fully elastic collision.When two small objects collide, the kinetic energy of the collision is first transformed into the potential energy of an attractive or repulsive force between the particles. (when the particles move against this force, that is, when the angle between the force and the relative velocity is acute), and then this potential energy is transformed back into the kinetic energy of the collision (when the particles move with this force, i.e. the angle between the force and the relative velocity is acute).Learn more about Elastic collision refer to :
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A 3.20 kg fish is attached to the lower end of a vertical spring that has negligible mass and force constant 850 N/m . The spring initially is neither stretched nor compressed. The fish is released from rest.What is its speed after it has descended 0.0490 m from its initial position?
The speed of the spring from its initial position is 0.8 m/s.
What is the speed of the spring?
The speed of the spring after it descended from the given position is calculated by applying the principle of conservation of energy.
K.E = U
¹/₂mv² = ¹/₂kx²
mv² = kx²
v² = kx² / m
v = √ ( kx² / m )
where;
k is the spring constantx is the extension of the springm is the mass of the fishThe speed of the spring after descending the given distance is calculated as;
v = √ ( 850 x 0.049² / 3.2 )
v = 0.8 m/s
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In machines with low efficiency, most of the lost energy is turned into?
a. Light
b. Sound
c. Power
d. Heat
Answer:
Option (C)
Explanation:
All electric machines are not ideal, therefore they have some losses due to which efficiency being less than 100%.
An experimental power plant at the Natural Energy Laboratory of Hawaii generates electricity from the temperature gradient of the ocean. The surface and deep-water temperatures are 28 ∘C and 5 ∘C, respectively.
The maximum theoretical efficiency of this power plant is 7.9
What is a power plant?A power plant , also referred to as a generating station or generating plant, is described as an industrial facility for the generation of electric power. Power plants are generally connected to an electrical grid.
The cold temperature =
5°C = 278K
Hot temperature =
28 ° = 273 + 28 K
28° = 303 K
n(efficiency) = 1- Tc/ Th
n(efficiency) = 1- 278/301
n(efficiency) = 1- 0.9175
(efficiency) = 0.082 x 100
n(efficiency) = 8.2 %
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Complete question =
An experimental power plant at the Natural Energy Laboratory of Hawaii generates electricity from the temperature gradient of the ocean. The surface and deep-water temperatures are 28 ∘C and 5 ∘C, respectively. What is the maximum theoretical efficiency of this power plant?
An object with a mass of 9.0kg has an acceleration of 3m/s the force acting on it is 3n
True or false?
Answer:
False
Explanation:
This can be proved through the simple force formula, [tex]\displaystyle{\sum \vec F = m\vec a }[/tex]. [tex]\displaystyle{\sum \vec F}[/tex] stands for net force, m is mass and [tex]\displaystyle{\vec a}[/tex] is acceleration.
As you see, force is equal to mass times acceleration. If we substitute mass = 9.0 kg and acceleration = 3 m/s² then we will have:
[tex]\displaystyle{\sum \vec F = 9.0 \, \text{kg} \, \times \, 3 \, \text{m/s}^2}[/tex]
This will result:
[tex]\displaystyle{\sum \vec F = 27 \, \text{kg}\cdot \text{m/s}^2}\\\\\displaystyle{\sum \vec F = 27\, N}[/tex]
Therefore, the force acting on the object should equal 27 N, not 3 N.
the purpose of high voltage direct current transmission lines to decrease the number of conductors needed for transmission of power in a grid system.
Capacitance is a direct issue with alternating current. The amount of power that may be sent across a line and the minimum distance between lines are both constrained by capacitance between parallel lines.
What does voltage mean, exactly?When charged electrons (current) are forced through a conducting loop by the pressure of an electrical circuit's power source, they may perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).
What does voltage mean in kid-friendly terms?The difference in electrical energy between two circuit components is known as voltage. It is measured in volts and is measurable with a voltmeter. The current increases as the voltage grows. Higher electrical voltage and current are required for large electrical appliances.
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Two protons (charge q = 1.602·10-19 C) move at the same speed v= 1.6 ·105 m/s in opposite directions parallel to the x-axis. At the instant when they are at the same x-position, the proton moving in the negative direction is at distance r= 0.7 m in the positive y-direction with respect to the one moving in the positive direction. What is the magnetic field direction at the point of the proton moving in the negative direction? What is the magnetic force direction experienced by the proton moving in the negative direction?
The magnitude of the magnetic field at the point of the proton moving in the negative direction is equal to 18.39 × 10⁻¹⁵ T.
The magnetic force direction that is experienced by the proton moving in the negative direction is equal to 4.71 x 10⁻²⁸ N.
What is the magnetic field due to proton?The magnitude of the magnetic field at distance 'r' at the point of the proton moving in the negative direction is determined as follows;
F = qvB = (kq²)/r²
qvB = kq²/r²
B = kq/vr²
where, k is the coulomb's constant, r is the distance between the protons, q is the magnitude of the charge of the protons, and v is the speed of the proton.
Given the charge n the proton, q = 1.602 x 10⁻¹⁹C
The speed of the proton, v = 1.6 x 10⁵ m/s
B = (9 x 10⁹ x 1.602 x 10⁻¹⁹) / (1.6 x 10⁵ m/s x 0.7 x 0.7)
B = 18.39 × 10⁻¹⁵ T
The magnetic force experienced by the proton in the negative direction is calculated as follows;
F = qvB
F = 1.602 x 10⁻¹⁹ x 1.6 x 10⁵ x 18.39 × 10⁻¹⁵ T
F = 47.1 x 10⁻²⁹ N
F = 4.71 x 10⁻²⁸ N
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determine the moment with the following data: weight (lb) mom/1000 empty weight 1,350 51.5 pilot and front passenger 340 --- fuel (std tanks) capacity --- oil, 8 qt. --- ---
Currently, the information is as follows: weight (lb) (lb) mother/1000 empty weight 74.9 pound-inches.
Describe a weight example.In the International System of Units (SI), the newton is used as the unit of measurement for force, which is used to quantify weight. On the surface of the Earth, a one kilogram object weighs around 9.8 newtons, but the weight of the same thing on the Moon is only about one-sixth as great.
The definition of weight in physicsAll things near Earth are constantly under the influence of weight. All things are subject to the gravitational attraction of the Earth, which pushes them all toward its core.
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An object is hung from a spring balance attached to the ceiling of an elevator cab. The balance reads 40 N when the elevator is standing still.
(a) What is the reading when the elevator is moving upward with a constant speed of 9.0 m/s?
1 N
(b) What is the reading when the elevator is moving upward with a speed of 9.0 m/s while decelerating at a rate of 1.1 m/s2?
2 N
(a) The reading when the elevator is moving upward with a constant speed of 9.0 m/s is 40 N.
(b) The reading when the elevator is moving upward with a speed of 9.0 m/s while decelerating at a rate of 1.1 m/s² is 35.11 N.
What is acceleration?
The rate of change in an object's velocity with respect to time is known as acceleration in mechanics. In vector quantities, accelerations exist (in that they have magnitude and direction).
The direction of the net force that is acting on an object determines its acceleration.
According to the given question:
Balance force ( W ) = 40 N
a) moving upward with constant velocity (V ) = 9 m/s.
The reading will not change since it is moving with constant velocity
W = 40 N
b) Moving upward with V = 9 m/s and decelerating at the rate of
(a ) = 1.1 m /s²
The net force ( F ) = W - ma
where m = W/g = 40/9 = 4.45 kg
F = 40 - 4.45 * 1.1 = 35.11 N
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how much work is done when a mass of 3kg (weighing 30N) is lifted vertically through 6m?
Answer:
180 J is the answer to how much work is done when a mass of 3kg is lifted vertically through 6 m
To calculate the amount of work done when a mass is lifted vertically through a certain distance, we can use the formula:
Work = Force * Distance
In this case, the mass is 3kg, which weighs 30N, and it is lifted vertically through a distance of 6m. Plugging these values into the formula, we get:
Work = 30N * 6m
= 180 Joules
Therefore, the amount of work done when the mass is lifted vertically through 6m is 180 Joules.
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Suppose the driver in this example now slams on the brakes, stopping the car in 4.00 s. Find (a) the acceleration and
(b) the distance the car travels while braking, assuming the acceleration is constant.
The initial velocity of the car is 39.6 m/s and the final velocity is zero. Then, the acceleration of the car is - 9.9 m/s². The average distance covered is 158.4 m.
What is acceleration?The acceleration of a moving body is the rate of change in its velocity. Acceleration is a vector quantity and is characterized with a magnitude and direction.
Acceleration is the ratio of change in velocity to the change in time. Here, the initial velocity is 39.6 m/s. The car is stopping , therefore the final velocity is zero.
The time taken to stop is 4 seconds. Hence, the acceleration is :
a = 0 - 39.6 m/s / 4 s
= - 9.9 m/s²
The distance covered within this time is the product of its velocity and time.
Distance = velocity × time = 4 s × 39.6 m/s = 158.4 m
Therefore, the car travels up to a distance of 158.4 m before stops.
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Your question is incomplete. But your complete question probably was:
Suppose a driver is moving with speed 39.6 m/s, and slams on the brakes, stopping the car in 4. s.
the acceleration and
(b) the distance the car travels while braking, assuming the acceleration is constant.
A particular transition of the rubidium atom emits light whose frequency is 3.84 Ã 10^14 Hz. Is this light in the visible spectrum? If so, what is the color of the light?
The frequency of 3.84 x 10^14 Hz corresponds to a color in the blue-violet range of the visible spectrum. So, the color of the light emitted by the rubidium atom is blue-violet.
The frequency of light determines its position in the electromagnetic spectrum, which includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. The frequency of light that is visible to the human eye is in the range of approximately 400-700 nanometers (nm). This corresponds to a frequency range of approximately 7.5 x 10^14 Hz to 4.3 x 10^14 Hz.
The frequency of light emitted by the rubidium atom, 3.84 x 10^14 Hz, is within this range, so it is in the visible spectrum. To determine the color of the light, you can use the relationship between the frequency of light and its corresponding color. The colors of the visible spectrum, from lowest frequency to highest, are red, orange, yellow, green, blue, indigo, and violet.
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which of the following free-body diagrams could be used to analyze the forces exerted on the moon when it is at the position indicated in the figure?
Option F, with the GRAVITY arrow pointing to the right, is the appropriate diagram. By means of gravity, a planet and other body pulls items toward its core.
Describe the moon's orbit around a planet.Moons are subject to the gravitational pull of planets. So because near side of the moon is subjected to a stronger pull compared to the far side, it is drawn into a slightly expanded shape. The moon seems to have a comparable differential pull to the Earth that causes ocean tides.
The Moon's and Earth's gravitational pull caused this particular case of tidal locking (called synchronous rotation).
One orbit of Sun is completed by the Earth in 365 and one-quarter days, or one year. The Earth rotates around the Moon just like the Moon does around the Sun. The Moon's orbit will last 27 1/2 days.
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A bare helium nucleus has two positive charges and a mass of 6.64 ✕ 10−27 kg.
Answer:
The answer is the question 6.64*10-24=39.4
what is the wavelength of the longest wavelength standing wave pattern that can fit on this guitar string? express your answer in centimeters. view available hint(s)
Therefore, only half of the wave fits since it is evenly divided and a whole crest fits on the string; the longest wavelength standing-wave pattern which can fit on this guitar has a wavelength of 1 = 120 cm.
What do wavelengths and frequencies refer to?The distance of two wave crests is known as the wavelength, and it also applies to troughs. The amount of vibrations that travel across a certain area in one second is measured in cycles each second, or frequency.
How is wavelength determined?The wavelength is calculated by calculating the distance between two identical positions on adjacent waves. The distance of one compressive to the next or from one conformational to the subsequent is measured in order to calculate the wavelength of such a longitudinal wave.
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PLEASE HELP ME ANSWER THE PHYSICS QUESTIONS ON MY PROFILE!!! i will give brainliest to the first to answer!!! this one and the other ones
A 2500 kg train car moving at 20 m/s, east collides with a different train car at rest. The cars stick together after the collision and move together at 13 m/s, east. Find the second car’s mass.
options :
A) 245 kg
B) 50000 kg
C) 9.62 kg
D) 1346 kg
During the launch from a board, a diver's angular speed about her center of mass changes from zero to 6.60 rad/s in 250 ms. Her rotational inertia about her center of mass is 12.0 kg·m2.
(a) During the launch, what was the magnitude of her average angular acceleration?
rad/s2
(b) During the launch, what was the magnitude of the average external torque on her from the board?
N·m
Her average rotational acceleration is equal to the board's average external torque over her, which is Nm234.16 Nm, or 28.18 rad/s.
Simple definition of angular acceleration.An object rotating experiences a change of angular velocity per unit of time, which is quantified as angular acceleration (also known as rotational acceleration). It is a vector quantity that has two strongly outlined directions or senses and a magnitude component.
Given: Initial angular speed w, = 0 rad; Initial and final angular speeds cf, = 6–20 rad/s lime
Rotational inerlia I (= 12 leg m° at time t = 220 x163 5 Rotational angulas acceleration wU = wo tat 6.20 = 0 + xx 220 x103 6.20 = = 0.02918 x10 220 x103 a = 28.18 rad/s -> Quality varies torque N= IX 12x28.18 234.16 Nm
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In an amusement park water slide, people slide down an essentially frictionless tube. The top of the slide is 3.1 m above the bottom where they exit the slide, moving horizontally, 1.4 m above a swimming pool.
What horizontal distance do they travel from the exit point before hitting the water?
They travel a horizontal distance of 4.17 m from the exit point before hitting the water.
What is the law of conservation of energy?Energy cannot be created or destroyed, according to the law of conservation of energy. However, it is capable of change from one form to another.
height of the slid: h = 3.1 m
horizontal movement above swimming pool: s = 1.4 m
Let the horizonal speed of the people at the end of the water slide= v
Using energy conservation
mgh = 1/2 mv²
v = √(2gh)
Again time taken for falling s = 1.4 m under gravitation:
t = √(2s/g)
Hence, the horizontal distance travelled = speed × time
= √(2gh)×√(2s/g)
= √(4hs)
= √(4 × 3.1 × 1.4)
= 4.17 m.
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6. The work done in pushing a 40 kg chair from the kitchen table to 10 meters down the
hall would be about_
,neglecting friction.
A. 40J
B. 4000J
C. OJ
D. 0.25J
Answer:
B
Explanation:
W = f * d
= mg * d
= 40(9.81)(10) =~4000 J
Starting from long-run equilibrium at A with output equal to and the price level equal to P1, if there is an unexpected monetary contraction that shifts aggregate demand from AD1 to AD3, then the short-run nonneutrality of money is represented by the movement from:
If there is an unexpected monetary contraction that shifts aggregate demand from AD1 to AD3, starting from long-run equilibrium at A with output equal to and the price level equal to P1, then the short-run non neutrality of money is represented by the movement from option A: point A to point B.
What is the long-run equilibrium about?At point A, the economy is in long-run equilibrium, with output equal to and the price level equal to P1. The unexpected monetary contraction shifts aggregate demand from AD1 to AD3, which reduces the demand for goods and services in the economy.
This reduction in demand causes a decrease in the price level and a decrease in output. As a result, the economy moves from point A to point B on the AD-AS curve, where output is lower and the price level is lower.
Therefore, This movement represents the short-run non neutrality of money, as the unexpected monetary contraction has caused a change in both output and the price level in the short run.
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See full question below
3. (Exhibit: AD–AS Shifts) Starting from long-run equilibrium at A with output equal to Y
and the price level equal to P1, if there is an unexpected monetary contraction that shifts
aggregate demand from AD1 to AD3, then the long-run neutrality of money is
represented by the movement from:
A) A to B.
B) A to G.
C) A to C.
D) A to D.
Referring to question 1, what is C1 in uf, omit units.
Enthalpy Changes the overall energy change in the substance portrayed in the graph at 48°C.
What are the data that were obtained from the question?Mass (m) = 0.3 Kg
Initial temperature (T1) = 20°C
Heat (Q) added = 35 KJ
Specific heat capacity (C) = 4.18 KJ/Kg°C
Final temperature (T2)
The final temperature of water can be obtained as follow:
Q = MC(T2 – T1)
35 = 0.3 x 4.18 (T2 – 20)
35 = 1.254 (T2 – 20)
Clear the bracket
35 = 1.254T2 – 25.08
Collect like terms
1254T2 = 35 + 25.08
1.254T2 = 60.08
Divide both side by the coefficient of T2 i.e 1.254
T2 = 60.08/1.254
T2 = 47.9 ≈ 48°C
Therefore, the final temperature of the water is 48°C.
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a person attempts to lift a heavy object using several pulleys and a 0.5 inch diameter rope. the first attempt to lift the object is unsuccessful. which of the following will make lifting of the object more likely?
The pulleys can be attached in such a way that the force required to lift the object will be less, and the direction of the pulley can be shifted systematically.
What is force?In the body, force is the result of either a push or a pull. The three main categories of forces are friction, nuclear, and gravitational. For instance, when a hand strikes a wall, the hand puts force on the wall and the wall also exerts a force on the hand. Newton was given a variety of laws to help him understand force.
We can move objects much more easily because of simple machinery called pulleys that can shift the direction of the force. When we employ many pulleys together, they also boost mechanical advantage. By using this method, less force is needed to raise an object.
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The terminals of a battery are connected across two resistors in parallel. The resistances of the resistors are not the same. Which of the following statements is correct? Choose all that are correct. The potential difference is greater across the resistor closer to the battery. The resistor with the larger resistance carries less current than the other resistor. The resistor with the larger resistance carries more current than the other resistor. The potential difference across the larger resistor is greater than the potential difference across the smaller resistor. The potential difference across each resistor is the same.
Answer:
1) the potential difference is the same for both resistors
2) the larger resistor must carry less current because of (1)
3) the potential difference is the same for both resistors - given (everything depends on this fact)
Read each question carefully. Show all your work for each part of the question. The parts within the question may not have equal weight. A satellite of mass mis orbiting Earth in a stable circular orbit of radius R. The mass and radius of Earth are Mg and Rg , respectively. Express your answers to parts (a), (b), and (c) the following in terms of m, R, ME, Rg , and physical constants, as appropriate.
(a) Derive an expression for the speed of the satellite in its orbit.
(b) Derive an expression for the total mechanical energy of the satellite-Earth system in its orbit.
(c) Derive an expression for the period of the satelliteâs orbit.
(d) The satellite is replaced with a similar satellite that has twice the mass. The new satellite is placed into the same orbit as the original satellite. Is the new satelliteâs orbital speed greater than, less than, or equal to the original satelliteâs orbital speed?
A satellite of mass mis orbiting Earth in a stable circular orbit of radius R, (a) Speed of satellite is v = sqrt(G x Mg/R). (b) total mechanical energy is E = KE + PE. (c) the period of the satellite as orbit is T = 2 x pi x sqrt(R^3 / (G x Mg)).
(a) The speed of the satellite in its orbit can be derived using Kepler's second law of planetary motion, which states that a planet or satellite's orbital speed is inversely proportional to the square root of the distance from the center of the planet or satellite to the center of the primary body. This can be expressed mathematically as:
v = sqrt(G x Mg / R)
where v is the orbital speed of the satellite, G is the gravitational constant, Mg is the mass of Earth, and R is the radius of the satellite's orbit.
(b) The total mechanical energy of the satellite-Earth system in its orbit can be calculated using the formula for kinetic energy and the formula for gravitational potential energy. The kinetic energy of the satellite is given by:-
= KE
= 1/2 x m x v^2
The satellite's gravitational P.E. determined by:
= PE
= -G x Mg x m / R
The total mechanical energy of the satellite-Earth system is the sum of the kinetic energy and gravitational potential energy, so:
= E
= KE + PE
= 1/2 x m x v^2 - G x Mg x m / R
(c) The period of the satellite's orbit is the time it takes for the satellite to complete one full orbit around Earth. This can be calculated using the formula:-
= T
= 2 x pi x sqrt (R^3 / (G x Mg))
where T is the period of the orbit, G is the gravitational constant, Mg is the mass of Earth, and R is the radius of the satellite's orbit.
(d) If the new satellite has twice the mass of the original satellite, then its kinetic energy will be four times greater, since KE is proportional to m. However, the gravitational potential energy of the new satellite will also be four times greater, since PE is proportional to m. Since the total mechanical energy of the satellite-Earth system is the sum of the kinetic and gravitational potential energy, the total mechanical energy of the new satellite-Earth system will be the same as the total mechanical energy of the original satellite-Earth system. Therefore, the new satellite's orbital speed will be the same as the original satellite's orbital speed.
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In Chapter 9 we will define the center of mass of an object and prove that its motion is described by the particle under constant acceleration model when constant forces act on the object. A gymnast jumps straight up, with her center of mass moving at 2.80 m/s as she leaves the ground. How high above this point is her center of mass (a) 0.100 s , (b) 0.200 s (c) 0.300 s, and (d) 0.500 s thereafter?
A position established in relation to an object or set of objects is the center of mass. It represents the system's average location as weighted by each component's mass.
The center of mass for straightforward stiff objects with homogeneous density is found at the centroid. The location where the distribution of mass is constant in all directions called the center of mass.
speed of the gymnast = 2.80 m/s
using the second equation of motion,
s = u t + 1/2 a t ^2
the position at time, t = 0.100 sec
s = (2.80) (0.100) + 1/2 (-9.8 m/s^2) (0.100)^2
s = 0.231 m.
the position at time, t = 0.200 sec
s = 0.364 m.
the position at time, t = 0.300 sec
s = 0.399 m.
the position at time, t = 0.500 sec
s = 0.175 m.
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