Are the objects described here in static equilibrium, dynamic equilibrium, or not equilibrium at all? Explain.
a. a 200 pound barbell is held above your head
b. a girder is being lifted at a constant speed by a crane
c. a girder is being lowered into place. its is slowing down
d. a jet plane has reached its cruising speed an altitude
e. a box in the back of a truck doesn't slide as the truck stops
Statement a and e are in static equilibrium, b and d are in dynamic equilibrium and c is not at equilibrium at all.
FURTHER EXPLANATIONWhen the net force acting on an object is zero, the object is said to be at equilibrium. The state of equilibrium can be classified into two: static and dynamic.
Static equilibrium is when the net force is zero resulting in the object being at rest or not moving.
Dynamic equilibrium is when the resultant force acting on an object is zero and the object is moving in a uniform motion (i.e. constant or unchanging speed).
A. a 200 pound barbell is held above your head
Since the barbel is "held above your head" and is implied to be at rest since there is no change in its position during the time it is held, then this situation is an example of static equilibrium.
B. A girder is being lifted at a constant speed by a crane
This is dynamic equilibrium because the object is moving "at a constant speed".
C. A girder is being lowered into place. It is slowing down.
This is not equilibrium condition because the objects is neither at rest nor moving at a constant speed. It is "slowing down", so the speed is decreasing.
D. A jet plane has reached its cruising speed and altitude.
The "cruising speed" is the speed that is maintained while the jet plane is traveling because this is considered to be the most efficient speed. Since it is maintained, the jet plane is said to be in constant motion. Therefore, this is dynamic equilibrium.
E. A box in the back of a truck doesn't slide as the truck stops.
This is static equilibrium because the box is stationary or not moving.
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Keywords: equilibrium, static equilibrium, dynamic equilibrium
Objects in static equilibrium are at rest with balanced forces, while those in dynamic equilibrium move with constant velocity and no acceleration. A barbell held still is in static equilibrium, a girder moving consistently while being lifted is in dynamic equilibrium, and a plane at cruising altitude and speed is also in dynamic equilibrium.
Explanation:Objects can be in either static equilibrium, dynamic equilibrium, or not in equilibrium at all. When an object is at rest and the net external force and torque acting on it are zero, it is in static equilibrium. On the other hand, an object in motion with constant velocity and zero acceleration, where the net external forces and torques are also zero, is in dynamic equilibrium.
a. A 200 pound barbell held above your head is in static equilibrium if it is motionless and the forces acting on it are balanced.b. A girder being lifted at a constant speed by a crane is in dynamic equilibrium because it moves with a constant velocity which means there is no net acceleration.c. A girder being lowered into place that is slowing down is not in equilibrium because it is experiencing a net acceleration, meaning that the forces are not balanced.d. A jet plane at cruising speed and altitude is in dynamic equilibrium as it is moving with a constant velocity and the forces are balanced.e. A box in the back of a truck that doesn't slide as the truck stops is initially in dynamic equilibrium while the truck is in motion if the box is moving at a constant velocity relative to the truck, but it becomes static equilibrium once the truck stops if the box remains at rest.If a 3-kg object has a momentum of 33 kg·m/s, what's its velocity?
a. 36 m/s
b. 9.1 m/s
c. 11 m/s
d. 99 m/s
A 700 g can of beans is dropped from a shelf that is 1.5 m high. What is the gravitational potential energy of this can? Round your answer to the nearest tenth of a joule.
_____ J.
Answer: 10.3
Explanation: Edge
How far is the rocket from the launch pad 6.70 s later when the rocket engine runs out of fuel?
The radius of earth is 6,370,000m. Express this measurement in km in scientific notation with the correct number of significant digits.
Answer:
[tex]6.3\times10^3 km[/tex]
Explanation:
First, convert meters to kilometers:
[tex]6370000m*\frac{1km}{1000m} =6370km[/tex]
Now, express it using scientific notation following the next steps:
The decimal point moves to the left as many spaces until it reaches the right of the first digit. The coefficient is written, followed by the multiplication sign. Base 10 is written with the exponent equal to the number of spaces that the comma moves.Therefore:
[tex]6370km=6.3\times 10^3km[/tex]
The radius of the Earth in scientific notation with the correct number of significant digits is 6.37 × [tex]10^6[/tex] km
To express the radius of the Earth in scientific notation with the correct number of significant digits, we need to count the number of significant digits in the original measurement and then convert it to scientific notation.
The original measurement is 6,370,000 meters.
Step 1: Count the significant digits:
There are four significant digits in the number 6,370,000.
Step 2: Convert to scientific notation:
To express the number in scientific notation, we move the decimal point to the position where we have only one non-zero digit before the decimal point. In this case, that's the number 6. To do that, we need to move the decimal point six places to the left:
6,370,000 = 6.37 × [tex]10^6[/tex]
Step 3: Add the correct number of significant digits:
Since there were four significant digits in the original number, we need to keep four significant digits in the scientific notation as well.
Therefore, the radius of the Earth in scientific notation with the correct number of significant digits is:
6.37 × [tex]10^6[/tex] km
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A person leaves a house and walks three blocks north, then walks three blocks west. In what direction is the displacement of the person, relative to the starting point? A North B Northwest C South D Southwest
The process of converting a continuous signal to a series of 1s and 0s introduces small errors to the sound as it is recorded. What is this process called?
If you place a balloon in the freezer, it will __________.
Question 16 options:
deflate because volume is inversely proportional to temperature
stay the same size because there is no relationship between volume and temperature
expand because volume is inversely proportional to temperature
deflate because volume is directly proportional to temperature
Answer: deflate because volume is directly proportional to temperature
Explanation:
Charles' Law: This law states that volume is directly proportional to the temperature of the gas at constant pressure and number of moles.
[tex]V\propto T[/tex] (At constant pressure and number of moles)
[tex]\frac{V_1}{T_1}=\frac{V_2}{T_2}[/tex]
where,
[tex]V_1[/tex] = initial volume of gas
[tex]V_2[/tex] = final volume of gas
[tex]T_1[/tex] = initial temperature of gas
[tex]T_2[/tex] = final temperature of gas
As volume is directly proportional to temperature, as the balloon is kept in freezer, the temperature would decrease and thus the volume will decrease and it will deflate.
If an atom of nitrogen binds wit three hydrogen atoms to form a molecule of ammonia, how many lone pairs of electrons does nitrogen have?
A. One
B. Three
C. Four
D. Five
Answer:
If an atom of nitrogen binds wit three hydrogen atoms to form a molecule of ammonia, the nitrogen have one lone pairs of electrons.
Explanation:
Ammonia is the binding of nitrogen to three hydrogens covalently, that is, the bonds that form share their electrons to acquire the stability of the electronic structure of the noble gas. Shared electrons are located at the outermost level (valence electrons).
Nitrogen has five pairs of electrons in its valence layer, wishing to have eight electrons to acquire stability. Hydrogen has an electron in its outer shell, and it must have two electrons to be stable. If nitrogen shares an electron covalently with each of the three hydrogens, the latter will have the two electrons to complete its outer shell and be stable. And nitrogen will acquire the three necessary electrons, one for each hydrogen bond, to have eight electrons and acquire stability. But, as mentioned, the nitrogen in its outer shell has five electrons. If three of them are shared covalently, there is a pair of electrons that is not shared. These two electrons, which form the pair of electrons, is the solitary pair or pair of electrons that are not shared, that is, the pair of valence electrons that is not forming a bond, nor shared with other atoms. This is what causes the ammonia molecule not to have a flat shape, but to have a tetrahedral shape.
So, if an atom of nitrogen binds wit three hydrogen atoms to form a molecule of ammonia, the nitrogen have one lone pairs of electrons.
base your answers on the following four graphs, which represent the relationship between speed and time for four different objects, A, B, C, and D moving, in a straight line
The required answers are: 1) Object C, 2) Object B, 3) Object C.
Based on the graphs, here are the answers to the given questions:
Object C had a reta rding force acting on it. This is because its speed is decreasing over time, which means it is decelerating.
Object B was not accelerating. This is because its speed is constant over time.
Object C traveled the greatest distance in the 3.0-second time interval. The area under the speed-time curve represents the distance traveled, and Object C's curve has the largest enclosed area.
Area = Triangle + rectangle
A = 1/2 x base x height + length x breadth
A = 1/2 x 3 x (30-20) + 3 x 20
A = 15 + 60
A = 75 = distance in meters.
Complete Question:
Based your answers to questions on the following four graphs, which represent the relationship between speed and time for four different objects, A, B, C, and D moving, in ạ straight line.
1. Which object had a reta rding force acting on it?
2. Which object was not accelerating?
3. Which object traveled the greatest distance in the 3.0-second time interval?
Like the polar bear, the walrus is a strong swimmer, although it does not have the same endurance. For short periods of time, a walrus can swim at an average speed of 9.7 m/s. How far would a walrus swim at this speed in 3.4 minutes?
An alpha particle is also referred to as a nucleus of which isotope? lithium-7 helium-4 hydrogen-2 helium-2
Answer: Option (b) is the correct answer.
Explanation:
A positively charged particle that consists of two protons and two neutrons is known as an alpha particle.
The symbol for alpha particle is [tex]^{4}_{2}\alpha[/tex]. An alpha particle is similar to a helium atom because helium atom also has mass number (number of protons + number of neutrons) as 4 and atomic number (number of protons) as 2.
Symbol of helium atom is [tex]^{4}_{2}He[/tex].
Thus, we can conclude that an alpha particle is also referred to as a nucleus of helium isotope.
suppose larry stands with more weight on one scale than the other if one scale reads 400 N. what does the other read?
You will take 400N divide by 2. The answer will be 200N.
Spaceship 1 and spaceship 2 have equal masses of 300 kg. spaceship 1 has an initial momentum magnitude of 600 kg-m/s. what is its initial speed?
Explanation :
Given that,
Mass of the spaceship 1, m = 300 kg
Initial momentum of the spaceship 1, p = 600 kgm/s
Momentum is the product of the mass and the velocity with which it is moving i.e.
p = m v
[tex]v=\dfrac{p}{m}[/tex]
[tex]v=\dfrac{600\ kgm/s}{300\ kg}[/tex]
[tex]v=2\ m/s[/tex]
The initial velocity of the spaceship 1 is 2 m/s.
Hence, this is the required solution.
Final answer:
To find the initial speed of spaceship 1 with a momentum of 600 kg-m/s and mass of 300 kg, one should use the momentum formula (momentum = mass * velocity) and solve for velocity, resulting in an initial speed of 2 m/s.
Explanation:
To calculate the initial speed of spaceship 1 with a given momentum, we need the formula for momentum, which is the product of mass and velocity (p = m * v). Since we have the mass (m = 300 kg) and the momentum (p = 600 kg-m/s), we can solve for the initial speed (v) of spaceship 1 by rearranging the formula to v = p / m.
Doing the calculation gives us v = 600 kg-m/s / 300 kg, which results in v = 2 m/s. Therefore, the initial speed of spaceship 1 is 2 meters per second.
If a block of copper measures 2.00 cm x 4.00 cm x 5.00 cm and weighs 356 grams, what is its density?
The density of the block is 8.9 gm/cm³
What is volume ?
Volume is a three dimensional space occupy by the body of particular shape. Generally expressed in cubic meter.
Here, it is given that length of block (l) = 2 cm
breadth of block (b) = 4 cm
heigth of block (h) = 5 cm
weight of block (m) = 356 gm
the volume of the block is calculated using formula :
[tex]\begin{aligned}V&= lbh\\&=2\cdot4\cdot5\\&=40 \text{ cm}^{3}\end{aligned}[/tex]
Now density of block will be :
[tex]\begin{aligned}\rho&=\frac{m}{V}\\&=\frac{356}{40}\\&=8.9 \:\text{gm}/ \text{cm}^{3}\end{aligned}[/tex]
Therefore, the density of the block is 8.9 gm/cm³
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A wave has a frequency of 3.3hz and a wavelength of 1.2m what is the speed of the wave?
what are the three hallmarks of science
The three hallmarks of science are empiricism, skepticism, and the use of rational arguments.
Explanation:The three hallmarks of science are: empiricism, skepticism, and the use of rational arguments. Empiricism refers to the concept that all knowledge is derived from sensory experience. It involves the collection of data and observation of phenomena. Skepticism in science refers to the practice of questioning the validity and reliability of claims and not accepting them blindly. It involves requiring substantial evidence before affirming a claim. Rational arguments refer to using logical reasoning to explain natural events. Scientists use rational arguments to construct theories from experimental results.
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How is a scientific law unlike a scientific theory?
Answer:
Both scientific law and theory are the scientific statements related to any natural phenomenon.
Both are the proved hypothesis but they differ as a scientific law tells how a natural phenomenon takes place whereas a theory explains why the natural phenomenon takes place.
A scientific law cannot be changed but a theory can be modified and changed when new evidence comes into existence.
Thus, both are different.
Gold has a density of 19.3 grams per cubic centimeter. what is the density of gold in metric tons per cubic meter?
The density of gold is 19.3 grams per cubic centimeter. To convert this to metric tons per cubic meter, we convert grams to metric tons and cubic centimeters to cubic meters, which gives us a density of 19.3 metric tons per cubic meter.
Explanation:The question asks for the density of gold in metric tons per cubic meter. Gold's known density is 19.3 grams per cubic centimeter. To convert this to metric tons per cubic meter, we first need to convert grams to metric tons. We know that 1 metric ton equals 1,000,000 grams. Therefore, 19.3 grams is 0.0000193 metric tons. Then, we need to convert cubic centimeters to cubic meters. As there are 1,000,000 cubic centimeters in a cubic meter, the density of gold becomes: 0.0000193 metric tons times 1,000,000, equaling 19.3 metric tons per cubic meter.
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A 55 g mouse runs out to the end of the 17 cm-long minute hand of a grandfather clock when the clock reads 10 minutes past the hour. What torque does the mouse's weight exert about the rotation axis of the clock hand?
The torque exerted by the mouse's weight on the clock's minute hand is calculated to be 0.09163 N·m using the torque formula with force, radius, and the angle between them.
To determine the torque exerted by the mouse's weight on the clock's minute hand when it is 10 minutes past the hour, we need to apply the formula:
Torque (τ) = r × F × sin(θ)
Here:
r is the radius (distance from the axis to the point where the force is applied), which is 17 cm or 0.17 m. F is the force, which is the weight of the mouse. The weight is given by the mass times the acceleration due to gravity: F = m × g = 0.055 kg × 9.8 m/s² = 0.539 N. θ is the angle between the force and the lever arm. At 10 minutes past the hour, the minute hand is horizontal, and the force of gravity acts vertically, so θ = 90° (sin(90°) = 1).Substituting these values into the formula:
τ = 0.17 m × 0.539 N × 1 = 0.09163 N·m.
Thus, the torque exerted by the mouse's weight about the rotation axis of the clock hand is 0.09163 N·m.
Can an object, such as a plane at cruising altitude, be in motion if the net force acting on it is zero?
A wave has the wavelength equal to 396 nm. what must be the frequency of this wave
A duck with a mass of 0.90 kilograms flies at a rate of 12.0 m/s. What is the kinetic energy of the duck?
Answer:
Duck's kinetic energy is 64.8 Joules
Explanation:
It is given that,
Mass of the duck, m = 0.9 kg
Velocity of the duck is, v = 12 m/s
We have to find the velocity of the duck. It is given due to the motion of an object. Mathematically, it is written as :
[tex]KE=\dfrac{1}{2}mv^2[/tex]
[tex]KE=\dfrac{1}{2}\times 0.9\ kg\times (12\ m/s)^2[/tex]
KE = 64.8 Joules
Hence, the kinetic energy of the duck is 64.8 Joules
A student pushes a box with a total mass of 50kg. What is the net force on the box if it accelerates 1.5m/s^2?
A cat is moving at 18 m/s when it accelerates at 4 m/s2 for 2 seconds. what is his new velocity?
Answer:
26m/s
Explanation:
Acceleration is the change in velocity of a body with respect to time. Mathematically,
Acceleration = change in velocity/time
Acceleration = final velocity (v) - initial velocity (u)/time (t)
Given a = 4m/s², v = ? u = 18m/s, t = 2seconds.
Substituting in the given formula,
4 = v-18/2
8 = v-18
v = 8+18
v = 26m/s
The new velocity of the body is therefore 26m/s
Can you guys help to understand this graph I'm so confused why I getting wrong?
When you see a traffic light turn red, you apply the brakes until you come to a stop. If your initial speed was 12 m/s, and you were heading due west, what was your average velocity during breaking? Assume constant deceleration.
When Babe Ruth hit a homer over the 10
m
-high right-field fence 80
m
from home plate, roughly what was the minimum speed of the ball when it left the bat? Assume the ball was hit 0.90
m
above the ground and its path initially made a 45
∘
angle with the ground
The query involves the application of physics specifically taking into consideration projectile motion. The minimum speed of the ball when it left the bat, assuming a 45° launch angle and no air resistance, is calculated to be approximately 28.36 m/s.
Explanation:This is a question about projectile motion in physics and requires the understanding and application of kinematic equations. Projectile motion assumes air resistance is negligible, and the only force operating on the object is gravity.
The formula to calculate the initial velocity (or speed when the angle is 45°) of the projectile is v = sqrt((g * d) / sin(2θ)), where g is the acceleration due to gravity (approx. 9.8 m/s²), d is the distance, and θ is the launch angle.
So plugging in the values: sqrt((9.8 m/s² * 81 m) / sin(90°)) gives us approximately 28.36 m/s. Therefore, the minimum speed of the ball when it left the bat, assuming a 45° launch angle, is roughly 28.36 m/s.
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A bicycle rider travels 50.0 km in 2.5 hours. What is his average speed?
The current through a 12v lamp when it is connected to a 12v battery is 2.0 A. Calculate the resistance of the lamp at this current
The resistance of a lamp connected to a 12v battery that generates a current of 2.0A is calculated using Ohm's law to be 6 ohms.
Explanation:The question asks about the resistance of a lamp connected to a 12v battery that generates a current of 2.0 A.
Using Ohm's law which states that voltage(V) equals current(I) times resistance(R), or V = IR , we can calculate the resistance. In this case, we know the current (I) is 2.0 A and the voltage (V) is 12 V.
We rearrange the formula to find R (resistance) = V/I. Substituting the given values, we have: R = 12v/2.0A = 6 ohms.
Hence, the resistance of the lamp at the current of 2.0 A is 6 ohms.
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