73. If the string breaks, what is the magnitude of the acceleration of the block as it slides down the inclined plane?A) zero m/s2B) gC) g cos D) g sin E) g tan
Answers
If the string breaks, the magnitude of the acceleration of the block as it slides down the inclined plane is g * sin(theta). Correct answer choice D) g sin.
To determine the magnitude of the acceleration of the block as it slides down the inclined plane after the string breaks: Identify the forces acting on the block: gravity (F_gravity) and the normal force (F_normal) from the inclined plane. Resolve the gravitational force into two components: one parallel to the inclined plane (F_parallel) and one perpendicular to the inclined plane (F_perpendicular). Determine the net force acting on the block along the inclined plane (F_net). Use Newton's second law (F_net = m*a) to find the acceleration (a) of the block.
The forces acting on the block are gravity (F_gravity = m*g, where m is the mass of the block and g is the acceleration due to gravity) and the normal force (F_normal) from the inclined plane. We can resolve F_gravity into two components:
- F_parallel = F_gravity * sin(theta) = m * g * sin(theta)
- F_perpendicular = F_gravity * cos(theta) = m * g * cos(theta)
The net force acting on the block along the inclined plane is F_net = F_parallel, since the string is broken and there is no friction mentioned in the problem.
Using Newton's second law, we can determine the acceleration (a) of the block:
F_net = m * a
F_parallel = m * a
m * g * sin(theta) = m * a
Divide both sides by m:
a = g * sin(theta)
So, the magnitude of the acceleration of the block as it slides down the inclined plane is g * sin(theta), which corresponds to answer choice D) g sin.
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Related Questions
what property of gases describes the amount of space taken up by the gas?
Answers
Answer:
High pressure
The amount of space a gas's molecules take up compared to the total space in the container—the molecules' relative volume—gets bigger.
Explanation:
What new power source made it possible to build factories away from running water?.
Answers
The new power source that made it possible to build factories away from running water is the steam engine.
The steam engine was a significant invention of the industrial revolution and paved the way for many technological advancements of the era.
The steam engine is an external combustion heat engine that produces mechanical energy using water or steam as the working fluid. It was invented by James Watt in the 1760s and was used primarily for pumping water out of coal mines. In conclusion, the steam engine was the new power that made it possible to build factories away from running water during the Industrial Revolution.
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When there's a temperature difference between two objects, heat is transferred from the hotter object to the cooler one. What is the name for the state reached when they are both at the same temperature?
Answers
Answer:
The state when the two objects have reached the same temperature is known as thermal equilibrium.
Which of these statements best describes a double-replacement reaction?
An element takes the place of another element in a compound.
Two or more substances react to form a single substance.
One compound breaks down into two or more simpler substances.
Two different compounds exchange positive ions and form two new compounds.
Answers
Answer: d) the elements in two compounds switch places
Explanation: just took it
a 0.4-kg ball is thrown with a velocity of 18 m/s at an angle of 40 degrees with the positive x-axis. find how high it reaches in meters using the law of conservation of mechanical energy.
Answers
Therefore, the ball reaches a height of approximately 16.53 meters using the law of conservation of mechanical energy.
To find how high the ball reaches using the law of conservation of mechanical energy, we need to consider the initial kinetic energy and the final potential energy of the ball.
First, let's calculate the initial kinetic energy (KEi) of the ball. The formula for kinetic energy is KE = (1/2)mv^2, where m is the mass of the ball and v is the velocity.
Given:
Mass of the ball (m) = 0.4 kg
Velocity of the ball (v) = 18 m/s
Using the formula, we can calculate the initial kinetic energy:
KEi = (1/2) * 0.4 kg * (18 m/s)^2
KEi = 0.5 * 0.4 kg * 324 m^2/s^2
KEi = 64.8 J
Next, let's calculate the final potential energy (PEf) of the ball at its highest point. The formula for potential energy is PE = mgh, where m is the mass of the ball, g is the acceleration due to gravity, and h is the height.
Given:
Mass of the ball (m) = 0.4 kg
Angle with the positive x-axis (θ) = 40 degrees
First, we need to find the vertical component of the initial velocity (v_y) using trigonometry:
v_y = v * sin(θ)
v_y = 18 m/s * sin(40 degrees)
v_y = 18 m/s * 0.64279
v_y = 11.569 m/s (rounded to 3 decimal places)
Now, let's find the time taken for the ball to reach its highest point using the vertical component of velocity:
v_y = g * t
11.569 m/s = 9.8 m/s^2 * t
t = 11.569 m/s / 9.8 m/s^2
t ≈ 1.18 s (rounded to 2 decimal places)
Since the ball reaches its highest point halfway through its trajectory, the time taken to reach the highest point is half of the total time taken for the ball to reach the ground. Therefore, the total time taken for the ball to reach the ground is 2 times the time taken to reach the highest point.
Total time taken = 2 * 1.18 s
Total time taken ≈ 2.36 s (rounded to 2 decimal places)
Now, let's calculate the height (h) using the formula for potential energy:
PEf = mgh
Given:
Mass of the ball (m) = 0.4 kg
Acceleration due to gravity (g) = 9.8 m/s^2
PEf = 0.4 kg * 9.8 m/s^2 * h
64.8 J = 3.92 kg·m^2/s^2 * h
h ≈ 16.53 m (rounded to 2 decimal places)
Therefore, the ball reaches a height of approximately 16.53 meters using the law of conservation of mechanical energy.
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How do you find a wavelength?
Answers
V- velocity
f-frequency
A rocket, launched from rest, steadily increases speed to 33m/s over a 3.6s
interval before exhausting all the fuel. The rocket continues upward but slows
steadily to a stop 2.8s after running out of fuel.
How far did the rocket rise while burning fuel?
Answers
Answer:4 miles
Explanation:
What is the weight (w) of the water displaced by the aluminum test object?
Choose one : 4.9 N
9.8 N
49 N
98 N
Answers
Option 4.9 N is correct.
The weight (w) of the water displaced by the aluminum test object is 4.9 N.
How to calculate the weight of water displaced by an object? The weight of water displaced by an object can be calculated using Archimedes’ principle, which states that the weight of a liquid displaced by an object is equal to the buoyant force acting on the object. When an object is placed in a liquid, it experiences a buoyant force that is equal to the weight of the liquid displaced by the object.
Buoyant force = weight of displaced liquid Using the given options, we can calculate the weight of water displaced by the aluminum test object and match it with the answer. The mass of the aluminum object is 0.5 kg and its volume is 0.0001 m3. We know that the density of water is 1000 kg/m3 and the acceleration due to gravity is 9.8 m/s2.
Therefore, the weight of water displaced by the aluminum test object is given by: w = mg = ρVg = 1000 x 0.0001 x 9.8 = 0.98 N = 4.9 N (divided by 2 since only half the object is submerged)Therefore, the weight (w) of the water displaced by the aluminum test object is 4.9 N.
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How do you calculate frequency?
Answers
Answer:
divide the number of times the event occurs by the length of time.
Explanation:
Question 4 of 10
Which of the following changes occurs naturally in a system over time?
A. Becoming more organized
B. Becoming more efficient
C. Increasing in energy
OD. Increasing in randomness
Answers
Answer: D. Increasing in randomness.
Explanation: The concept related to this change is entropy. Entropy is a measure of the randomness or disorder in a system. According to the second law of thermodynamics, the entropy of an isolated system tends to increase over time. This means that natural processes often lead to an increase in randomness or disorder.
For example, imagine a container of gas molecules. Initially, the molecules may be confined to one side of the container, creating a region of higher concentration. However, over time, the gas molecules will naturally spread out and become more evenly distributed throughout the container. This increase in randomness or disorder corresponds to an increase in entropy.
A cup of coffee with cooling constant k = -0.09 is placed in a room temperature of 18°C. If the coffee is served at 93 °C, how long will it take to reach a drinking temperature of 73 °C?
Answers
The time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
The cooling law is given by:
$$\frac{dQ}{dt}=-k(T-T_0)$$
where Q is the heat in the object, t is the time taken, T is the temperature of the object at time t, T0 is the temperature of the environment and k is a constant known as the cooling constant.
We need to find the time it takes for the coffee to reach a drinking temperature of 73°C given that its initial temperature is 93°C.
Therefore, we need to find the time it takes for the coffee to cool down from 93°C to 73°C when placed in a room temperature of 18°C.
Let’s assume that the heat energy that is lost by the coffee is equal to the heat energy gained by the environment. We can express this as:
dQ = - dQ where dQ is the heat energy gained by the environment.
We can substitute dQ with C(T-T0) where C is the specific heat capacity of the object.
We can rearrange the equation as follows:
$$-\frac{dQ}{dt}=k(T-T_0)$$
$$-\frac{d}{dt}C(T-T_0)=k(T-T_0)$$
$$\frac{d}{dt}T=-k(T-T_0)$$
The differential equation above can be solved using separation of variables as follows:
$$\frac{d}{dt}\ln(T-T_0)=-k$$
$$\ln(T-T_0)=-kt+c_1$$
$$T-T_0=e^{-kt+c_1}$$
$$T=T_0+Ce^{-kt}$$
where C = e^(c1).
We can now use the values given to find the specific value of C which is the temperature difference when t=0, that is, the temperature difference between the initial temperature of the coffee and the room temperature.
$$T=T_0+Ce^{-kt}$$
$$73=18+C\cdot e^{-0.09t}$$
$$55=C\cdot e^{-0.09t}$$
$$C=55e^{0.09t}$$
$$T=18+55e^{0.09t}$$
We can now solve for the value of t when T=93 as follows:
$$93=18+55e^{0.09t}$$
$$e^{0.09t}=\frac{93-18}{55}$$
$$e^{0.09t}=1.3636$$
$$t=\frac{\ln(1.3636)}{0.09}$$
Using a calculator, we can find that the time taken for the coffee to cool from 93°C to 73°C is approximately 36.1 minutes.
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A steel bridge is 500.0 m long when the temperature is 25.00 OC. What is the length on a cold day when the temperature is minus 20.0 oC? The coefficient of expansion for steel is 12 * 10-6.
Answers
Answer:
499.73 m
Explanation:
We'll begin by calculating the change in the temperature. This can be obtained as follow:
Initial temperature (T₁) = 25 °C
Final temperature (T₂) = –20° C
Change in temperature (ΔT) =?
ΔT = T₂ – T₁
ΔT = –20 – 25
ΔT = –45 °C
Finally, we shall determine the length on a cold day at –20° C. This can be obtained as follow:
Length at 25°C (L₁) = 500 m
Coefficient of linear expansion (α) = 12×10¯⁶ /°C
Change in temperature (ΔT) = –45 °C
Length at –20 °C (L₂) =?
α = L₂ – L₁ / L₁ΔT
12×10¯⁶ = L₂ – 500 / (500 × –45)
12×10¯⁶ = L₂ – 500 / –22500
Cross multiply
L₂ – 500 = 12×10¯⁶ × –22500
L₂ – 500 = –0.27
Collect like terms
L₂ = –0.27 + 500
L₂ = 499.73 m
Therefore, the length on a cold day at –20° C is 499.73 m.
c) What's meant by:
The electromotive force of an electric cell - 1.5 volt.
Answers
Answer:
The electromotive force is the voltage measured across the cell terminals when "NO" current is being drawn. That is why electromotive forces are used in Wheatstone Bridges which measure the resistance of an external object.
Just measuring the voltage across a cell does not give one the true EMF because current drawn from the cell will cause a reduction of voltage of I * R where R is the internal resistance of the cell.
ASAP! HELP!
A 66.4 kg person sits on the right end of a seesaw, 2.35m from the fulcrum. On the other end, how far from the fulcrum should a 84.2kg person sit to balance the seesaw?
1: 1.92 m
2: 1.85m
3: 2.08m
4: 1.61 m
Answers
Answer:
2. 1.85
Explanation:
the equations weight * distance / other persons weight = distance from fulcrum. so 66.4*2.35/84.2=1.8532 round down to 1.85
Convert 0k temperature into Celsius fahrenhet
and Reumer scale.
Answers
Answer:
-273.15 celcius
−218.52 Réaumur
Explanation:
273. 15 kelvin = 0 degrees celcius
C + 273.15 =k
08. Degrees celcius = 1 Réaumur
C x 0.8 = rea
Name the component used in electric circuits that is sensitive to temperature
Answers
Answer :
Tungsten filamentimped) og 90
Does a 2-kilogram rock have twice the mass
of a 1-kilogram rock? Twice the inertia? Twice
the weight (when weighed in the same loca-b
tion)? (4.5)
urged
bib ord:
Answers
Yes, a 2kg rock will have twice the weight and inertia of a 1 kg rock.
What is the weight of an object?
The weight of an object is the measure of the effect of force of gravity on the object.
W = mg
where;
m is the mass of the objectg is acceleration due to gravityThe weight of 2 kg rock and 1 kg rock is calculated as;
W (2) = 2 kg x 9.8 m/s² = 19.6 N
W (1) = 1 kg x 9.8 m/s² = 9.8 N
The weight of 2 kg rock is twice the weight of the 1 kg rock.
Inertia is the measure of reluctance of an object to move or stop moving and it depends on mass, so 2 kg tock will have twice the inertia of 1 kg rock.
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A system is heated with 134 J of energy and, at the same time, the system expands, doing 89 J of work. What is the change in internal energy of the system, in Joules
Answers
The change in internal energy of the system after the heat is added and the system expands doing work to the surrounding is 45 J.
Change in internal energy of the system
The change in internal energy of the system is determined by applying the first law of thermodynamics as shown below;
ΔU = q - w
where;
ΔU is the change in the internal energyq is heat added to the systemw is work done to the surroundingsΔU = 134 J - 89 J
ΔU = 45 J
Thus, the change in internal energy of the system after the heat is added and the system expands doing work to the surrounding is 45 J.
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What will be the period of oscillation of a 12kg metallic bob attached to a spring, where the same pendulum takes 4 seconds for a bob of
mass 8kg attached to the spring?
Answers
The pendulum swings in one direction for 4 seconds in each direction, making a 15.9 m swing in one second.
What purposes serve pendulums?Instruments utilized in science, such as seismometers and accelerometers, also employ pendulums. They have a history of being used as length standards and gravimeters for measure an acceleration of gravity in geophysical surveys. The word "pendulum" is derived from the Latin word "pendulus," which means "hanging."
When you swing a pendulum, what happens?The gravity force will cause the swing to freely swing back and forth when it has been hoisted and released. The swing keeps swinging back and forth on its own until frictional (between the swing and the air, and between chains and the connection points) slows it down and ultimately causes it to stop.
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6. A person starts at rest and accelerates at a uniform rate of at 3.2 m/s2 for 3.0 seconds. What distance
does this person cover in that time?
Answers
Answer:
14.4m
Explanation:
u = 0 i.e it started from rest
acceleration (a) = 3.2m/s2
time taken (t) = 3.0s
Using the second equation of motion:
s = ut + 1/2at2
s = 0(3.0) + 1/2(3.2)(3.0)2
s = 1.6(9.0)
s = 14.4m
hence the distance covered within that time is 14.4m.
A forensics investigator discharged an assault rifle-replica such that the bullet fired at an angle of 30 (degrees) off the horizontal with an initial velocity
of 28
m/s northwest. What is the maximum height the bullet will reach?
O 14 m/s
10 m
O 30 km
O 0.4351 seconds
Answers
Answer:
Initial y-component of speed
Vy = 28 * sin 30 = 14 m/sec vertically
1/2 m Vy^2 = 2 m g h conservation of energy of y-component
h = Vy^2 / (2 * g) = 14^2 / (2 * 9.8) = 10 m
How many nodes, not including the endpoints, are there in a standing wave that is two wavelengths long?.
Answers
Not including the endpoints, there are 3 nodes.
What is a node?
In a wave, a node is a stationary point. For example in a vibrating string of a guitar, the endpoints would be nodes.
But here we need to ignore the endpoints, we only know that the wave has two wavelengths.
For a wave with N wavelengths the number of nodes that are not endpoints is just given by 2*N - 1 (while if we counted the endpoints we would have 2*N + 1).
So in this case we have N = 2, then there are 2*2 - 1 = 3 nodes.
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a person throws a rock straight up into the air. at the moment it leaves the person's hand it is going 29 mph. when the rock reaches its peak, how fast is it going and what is the magnitude and direction of its acceleration? ignore air drag. express your answer using appropriate mks units.
Answers
In a downward direction, the magnitude of the acceleration is negative and velocity is zero.
What is acceleration?The rate of change in velocity is defined as acceleration.The rate at which speed changes with time, in terms of both speed and direction.If a factor or an object moves in a straight line, it is said to be extended.The acceleration of the Earth is always downward.As a result, when an object is launched upward, its acceleration is directed downward.If the object is moving downward, so is the acceleration.Here,
The object would cease to move at the maximum height, and thus the velocity of the object at the peak of motion would be seen to be zero. In this case, the acceleration would be negative.To learn more about acceleration refer to :
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Two asteroids crashed. The crash caused both asteroids to change speed. Scientists want to use the change in speed and motion to figure out which asteroid has more mass. Based on the information in the diagram, which statement is correct? In your answer, explain what the forces were like and why the asteroids changed their motion.
Asteroid 1 has more mass than Asteroid 2.
Asteroid 1 and Asteroid 2 are the same mass.
Asteroid 1 has less mass than Asteroid 2.
Answers
Answer:
Asteroid 1 has more mass than asteroid 2
Explanation:
User avatar
thenoobygamerpro
01/25/2020
Physics
Middle School
answered
Asteroid 1 moving 8km/s right asteroid 2 moving 16 km/s left before the crash. After the crash asteroid 1 is moving 4 km/s left and changed speed bu 12km/s. Asteroid 2 moving 2km/s left and changed speed by 14km/s
Two asteroids crashed. The crashed caused both asteroids to change speed. Scientist want to use the change in speed and motion to figure out which asteroid has more mass. Based on the information in the diagram. which statement is correct? In your answer explain what the forces were like and why the asteroids changed motions
Asteroid 1 has more mass than asteroid 2
Asteroid 1 and asteroid 2 are the same mass
Or asteroid 1 has lees mass than asteroid 2
1
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Answer: Asteroid 1 has more mass than asteroid 2
Explanation:
We can use the conservation of momentum law to find the answer. So, according to this law:
"If two objects or bodies are in a closed system and both collide, the total momentum of these two objects before the collision will be the same as the total momentum of these same two objects after the collision".
This means the momentum before the collision or crash () is equal to the momentum after the collision ():
(1)
Before the crash:
(2)
Where:
is the mass of the first asteroid
is the velocity of the first asteroid
is the mass of the second asteroid
is the velocity of the second asteroid
(3)
After the crash:
(4)
Where:
is the final velocity of the first asteroid
is the final velocity of the second asteroid
(5)
Substituting (3) and (5) in (1):
(6)
Grouping similar terms:
(7)
Then:
(8) This means must be multiplied by 1.16 km/s in order to make this side of the equation equal to .
Which of the following best describes how a climate change affects the organisms in a certain environment? (2 points) Group of answer choices They might have more resources that help them survive. The will move to a new location where resources are available. They will struggle to survive due to reduced space. They might adapt, move to new place, or struggle to survive.
Answers
Answer:
they might adapt or move to a new place
Explanation:
how fast is a ball rolling if it contains 98 J of kinetic energy and had a mass of 4 kg
Answers
The speed of the rolling ball having a kinetic energy of 98J and a mass of 4kg is 7m/s.
How fast was the ball rolling?Kinetic energy is simply the energy a body possesses due to its motion;
It is expressed as;
K.E = 1/2 × m × v²
Where m is mass and v is the velocity of the body.
Given the data in the question;
Kinetic energy K.E = 98J = 98kgm²/s² Mass of the ball m = 4kgSpeed v = ?Plug the given values into the Kinetic energy formular and solve for v.
K.E = 1/2 × m × v²
98kgm²/s² = 1/2 × 4kg × v²
98kgm²/s² = 2kg × v²
v² = 98kgm²/s² / 2kg
v² = 49kgm²/s²
v = √( 49kgm²/s² )
v = 7m/s
Therefore, the speed of the ball is 7 meters per second.
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Chemical potential versus concentration. (a) Sketch carefully the chemical potential versus the number of particles for a boson gas in volume V at temperature 7. Include both classical and quantum regimes. (b) Do the same for a system of fermions
Answers
(a) Chemical potential vs concentration for a boson gas: The chemical potential of a boson gas shows a step-like behavior, with a sharp increase at low concentrations followed by a gradual increase at higher concentrations, as we move from classical to quantum regimes.
In the classical regime, the chemical potential increases linearly with the number of particles. In the quantum regime, the chemical potential displays a series of steps known as the Bose-Einstein condensation, which corresponds to the sharp increase in chemical potential at low concentrations. At high concentrations, the chemical potential shows a gradual increase with the number of particles, indicating the onset of repulsive interactions between the bosons.
(b) Chemical potential vs concentration for a fermion gas: For a fermion gas, the chemical potential increases linearly with the number of particles in both classical and quantum regimes, with no step-like behavior.
This is because of the Pauli exclusion principle, which prohibits two fermions from occupying the same quantum state. As a result, the energy levels of a fermion gas fill up in a one-particle-per-level manner, leading to a continuous increase in the chemical potential with the number of particles. The absence of a step-like behavior also implies that there is no Fermi condensation in a fermion gas, unlike the Bose-Einstein condensation in a boson gas.
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When you're super tired and you lose energy, what energy are you actually losing?
I said Physics class, but it's really for Science class.
Answers
Answer:
it is chemical energy
Explanation:
that is the energy used by our body, so it is the one that we will loose. and the energy that we gain is also chemical energy
Hahah I look pregnant don’t I
Answers
But you see...this bobcat
Cute ain’t it?
you throw a small rock straight up from the edge of a highway bridge that crosses a river. the rock passes you on its way down, 6.00 s after it was thrown. what is the speed of the rock just before it reaches the water 27.0 m below the point where the rock left your hand? ignore air resistance. express your answer with the appropriate units.
Answers
The distance the rock must travel is 27.0 m
The time it takes the rock to travel the distance is 6.00 s
We can calculate the speed using the equation:
Speed = Distance/Time
Speed = 27.0 m/6.00 s
Speed = 4.5 m/s
What is distance?
Distance is a measurement of how far apart two objects or points are. It is usually measured in units such as meters, kilometers, miles, and feet. Distance can be used to measure the length of a journey, the size of a room, or the distance between two cities. It can also be used to measure the speed of an object, the height of a mountain, or the depth of a lake. Distance is an important concept in mathematics and science, and it is used in everyday life for finding the shortest route between two points.
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