Answer:
Approximately \(0.48\; \rm m\cdot s^{-1}\).
Explanation:
Momentum would be conserved since there's no friction on this friend, and all other forces on her are balanced. Therefore:
\(\begin{aligned}& \text{Resultant momentum of (friend and pumpkin)} \\ =\; & \text{Initial momentum of (friend)} \\ & + \text{Initial momentum of (pumpkin)}\end{aligned}\).
Momentum \(p\) the product of mass \(m\) and velocity \(v\). That is: \(p = m \, v\).
The initial momentum of this friend is \(0\; \rm kg \cdot m \cdot s^{-1}\) since she was initially not moving (an initial velocity of \(0\; \rm m\cdot s^{-1}\).)
The initial momentum of the pumpkin would be:
\(\begin{aligned}p &= m \, v \\ &= 3.6 \; \rm kg \times 9.5\; \rm m\cdot s^{-1} \\ &= 34.2\; \rm kg \cdot m \cdot s^{-1}\end{aligned}\).
Therefore:
\(\begin{aligned}& \text{Resultant momentum of (friend and pumpkin)} \\ =\; & \text{Initial momentum of (friend)} \\ & + \text{Initial momentum of (pumpkin)} \\ =\; &0\; {\rm kg \cdot m \cdot s^{-1}} + 34.2\; {\rm kg \cdot m \cdot s^{-1}} \\ =\; & 34.2\; {\rm kg \cdot m \cdot s^{-1}}\end{aligned}\).
Rearrange the equation \(p = m \, v\) to find an expression for velocity \(v\) given momentum and mass:
\(\displaystyle v = \frac{p}{m}\).
Note that the "final momentum of friend and pumpkin" in the previous equation refers to the resultant velocity of the friend with the pumpkin in her hand. Thus, it would necessary to use the combined mass of the friend and the pumpkin \((68\; {\rm kg} + 3.6 \; {\rm kg})\) when calculating the resultant velocity:
\(\begin{aligned}& \text{Resultant velocity of (friend and pumpkin)} \\ =\; & \frac{\text{Resultant momentum of (friend and pumpkin)}}{\text{Mass of (friend and pumpkin)}} \\ =\; & \frac{34.2\; {\rm kg \cdot m \cdot s^{-1}}}{68\; {\rm kg} + 3.6\; {\rm kg}} \\ \approx \; & 0.48\; \rm m \cdot s^{-1}\end{aligned}\).
2.0 in = ? mm ( 1in = 2.54 cm )
Answer:
50.8 mm
Explanation:
there are 10 mm in 1 cmmultiply 2.54 by 2 (5.08)multiply 5.08 by 10 (50.8)Ans 50.8 mm
Explanation:
2 in = 5.08 cm
and 1 cm = 10 mm
mulitply 5.08*10 = 50.8 mm
How to keep my family safe during a hurricane?
Answer:
there are many ways
Explanation:
first off get flashlights if power goes out your in trouble second stay indoors if you are traveling and a hurricane alert goes off just go in a carvel or something. 3rd try to get to a shelter if no store near by or if your on a mobile house. 4th board up your windows. 5th get some food(things that have long shelf life) if the house falls and you have no access to your food then its over. 6 get first aid if the hurricane hits your house and its collapses on you and your injured you need treatment. 7th radio the hurricane is 99% of the time going to knock down the internet poles you need updated info on the hurricane.
Which part of the electromagnetic spectrum is nearest to radio waves?
X-rays
microwaves
gamma rays
ultraviolet light
Answer:
i believe it is the microwaves that is closest to the radio waves.
Explanation:
The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.
What is meant by electromagnetic spectrum?The range of all EM radiation arranged from high to low frequency (short to long wavelength) according to their frequency or wavelength. is known as the electromagnetic spectrum (EM).
Here,
The visible light from a bulb in your home and the radio waves from a radio station are two examples of electromagnetic radiation. Radiation is energy that travels and disperses as it does.
The properties of the electromagnetic spectrum include the ways in which signals can propagate and how much data they can carry. Signals delivered at higher frequencies typically propagate more quickly but can carry more data in a given amount of space.
The electromagnetic spectrum begins with the lowest frequency radio waves and moves up in frequency and down in wavelength from there. Radio waves are followed by visible light, infrared radiation, and lastly microwaves.
Hence,
The microwaves are the part of the electromagnetic spectrum is nearest to radio waves.
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a proton moves perpendicular to a uniform magnetic field b at a speed of 2.00 107 m/s and experiences an acceleration of 2.10 1013 m/s2 in the positive x direction when its velocity is in the positive z direction. determine the magnitude and direction of the field. magnitude t direction ---select---
The magnitude of the magnetic field is 1.05 Tesla, and it is directed in the positive y direction.
We can use the formula for the magnetic force on a moving charged particle, which is given by F = qvB, where F is the force, q is the charge of the particle, v is the velocity, and B is the magnetic field. In this case, the proton is experiencing acceleration, which means there must be a net force acting on it.
Since the acceleration is in the positive x direction and the velocity is in the positive z direction, the force acting on the proton must be in the positive x direction. This force is provided by the magnetic field, which is perpendicular to the velocity of the proton.
The formula for the magnetic force can be rearranged to solve for the magnetic field: B = F / (qv). Plugging in the given values for the acceleration (2.10 x \(10^{13} m/s^2\)) and velocity (2.00 x \(10^7\) m/s), and considering that the charge of a proton is 1.602 x \(10^{-19}\) Coulombs, we can calculate the magnitude of the magnetic field:
B = (2.10 x \(10^{13}\) m/\(s^2\)) / ((1.602 x 10\(^{-19}\) C)(2.00 x \(10^7\) m/s)) ≈ 1.05 Tesla.
The direction of the magnetic field can be determined using the right-hand rule. Since the force is in the positive x direction, and the velocity is in the positive z direction, the thumb points in the positive y direction, which indicates that the magnetic field is directed in the positive y direction.
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Erosion and physical weathering is a ________________ force that affects land formation
Answer:
Any choices for the blank?
A gas is enclosed in a 10. 0 l tank at 1200 mmhg pressure. What is the pressure when the gas is pumped into a 5. 00 l vessel? report your answer in mmhg to the nearest whole number.
To find the pressure when the gas is pumped into a 5.00 L vessel, we can use Boyle's Law, which states that the pressure and volume of a gas are inversely proportional at constant temperature.
According to Boyle's Law, the product of the initial pressure (P1) and initial volume (V1) is equal to the product of the final pressure (P2) and final volume (V2). Mathematically, it can be represented as P1 * V1 = P2 * V2.
Given:
Initial pressure (P1) = 1200 mmHg
Initial volume (V1) = 10.0 L
Final volume (V2) = 5.00 L
Using the formula, we can solve for the final pressure (P2):
P2 = (P1 * V1) / V2
P2 = (1200 mmHg * 10.0 L) / 5.00 L
P2 = 2400 mmHg
Therefore, the pressure when the gas is pumped into the 5.00 L vessel is approximately 2400 mmHg.
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A dentist uses a concave mirror to examine a tooth that is 1cm in front of the mirror. The image of the tooth forms 10cm behind the mirror.
a. What is the mirror's radius of curvature?
b. What is the magnification of the image?
a) The mirror's radius of curvature will be 2.7 cm
B) The magnification of the image will be 4.0.
What is a concave mirror?When a hollow spherical is divided into pieces and the exterior surface of each cut portion is painted, it forms a mirror, with the inner surface reflecting the light.
From the mirror equation;
\(\frac{1}{p}+\frac{1}{q} =\frac{1}{f} \\\\ \frac{1}{1}+\frac{1}{-10} =\frac{1}{f} \\\\ \frac{1}{f} = 1-\frac{1}{10} \\\\ \frac{1}{f} = \frac{9}{10} \\\\ f= 1.1111\)
Hence,
The radius of curvature is twice of the focal length;
\(\rm R = 2f \\\\ \rm R = 2\times 1.111 \\\\ R=2.2222 \ cm\)
Hence, the mirror's radius of curvature will be 2.7 cm.
The magnification factor is found as;
\(\rm m = \frac{-q}{p} \\\\ m = \frac{-(-10)}{1} \\\\ m = 10\)
Hence, the magnification of the image will be 4.0.
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Drag the labels to the image. Each label can be used more than once.
The image shows the path of a ball from the time it's thrown to the time it lands on the ground. Determine the kind of energy the ball has at each
position. (PE stands for gravitational potential energy, and KE stands for kinetic energy.)
Following the image of the ball that have been shown;
1. Potential energy
2. Kinetic energy
3. Kinetic energy
4. Potential energy
5. Kinetic energy
6. Kinetic energy
7. Kinetic energy
What is the type of energy?
Due to its position or elevation, an object has potential energy while it is at rest or is elevated above the ground. Depending on the circumstances, this potential energy may either be elastic or gravitational.
Kinetic energy, or the energy connected to motion, is present when an item is in motion. An object's kinetic energy is determined by its mass and velocity .
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Answer:
1: Potential and kinetic
2: Potential and kinetic
3: Potential and kinetic
4: potential
5: Potential and kinetic
6: Potential and kinetic
7: NEITHER
Explanation:
4 is potential because its the highest point
7 is neither because the question states "the image shows the path of a ball from the time it's thrown to the time it lands on the ground" so... 7 is when the ball has landed on the ground. therefore it has neither potential nor kinetic because it is resting.
The current in a 20.0-mH inductor changes with time as i = 4.00t2 − 7.00t, where i is in amperes and t is in seconds.
(a) Find the magnitude of the induced emf at t = 1.00 s.
mV
(b) Find the magnitude of the induced emf at t = 4.00 s.
mV
(c) At what time is the emf zero?
(a) Magnitude of the induced emf at t = 1.00 s is 12 mV. b The magnitude of the induced - 112 mV(c) , c The emf zero at t = 0.875 seconds.
a The emf induced in an inductor is given as e = -L (di/dt)Where, L = Inductance di/dt = Rate of change of currentFrom the given equation, we have i = 4t² - 7t When t = 1.00 s, we have i = 4 (1.00)² - 7 (1.00)= -3.00 AAt t = 1.00 s, di/dt = d/dt [4t² - 7t] = 8t - 7= 1 s-1
Therefore, the induced emf is e = -L (di/dt)=- 20 mH × 1 s-1× (- 3.00 A)= 60 mV(b)
b The magnitude of the induced emf at t = 4.00 s is 112 mV.Using the same formula, at t = 4.00 s, i = 4 (4.00)² - 7 (4.00)= 25.00 AAt t = 4.00 s, di/dt = d/dt [4t² - 7t] = 8t - 7= 25 s-1Therefore, the induced emf is e = -L (di/dt)=- 20 mH × 25 s-1× (25.00 A)= - 112 mV(c)
c. At what time is the emf zero?The induced emf is zero when the rate of change of current is zero. So, we need to find the time t such that di/dt = 0. 8t - 7 = 0 => t = 7/8 s. Therefore, the emf is zero at t = 0.875 seconds.
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A thin 2.00 kg box rests on a 7.00 kg board that hangs over the end of a table, as shown in (Figure 1). a) How far can the center of the box be from the end of the table before the board begins to tilt?
Based on the principle of moments, the distance from the end of the table should the box be placed before the board begins to tilt is 17.5 cm.
The distance from the end of the table should the box be placed before the board begins to tilt is determined from the principle of moments as follows:
sum of clockwise moments = sum of anticlockwise moments
The block is 30 cm on the table and 20 cm outside it.
The downward force acting on the left-hand side of the box
= 3/5 x 7 = 4.2
This force acts at the center of gravity, 15 cm or 0.15 m away.
Therefore, anticlockwise moments o the left side =4.2 x 0.15 = 0.63 J
Also, the clockwise moment on the right side = Force × distance
Force = 2/5 x 7 = 2.8 N
Distance from the center of gravity = 10 cm or 0.10 m away.
the clockwise moment on the right side due to the board = 2.8 x 0.1 = 0.28.
The moment due to the box with a weight of 2kg at a distance of x meters will be:
the total clockwise moment on the right side = 0.28 + 2x.
When the board is just about to tilt:
0.63 = 0.28 + 2x
2x = 0.63 - 0.28
x = 0.175m or 17.5cm
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mass of 25 kg and a KE of 450 J.
Two kids are playing tag. The first kid is running at an unknown speed chasing the other. The first kid has
How fast is the first kid running?
answer =
Answer:
6m/s
Explanation:
describe three ways thermal energy can be transfered. identify the most effective medium for each method of heat transfer
There are three methods that thermal energy can be transferred: conduction, convection, and advection.
Conduction is the transfer of heat energy between adjacent molecules that are in touch with one another.
The lateral transfer of heat is known as advection. Here, the phrase "fronts" is used. A warm front is followed by warm air advection. Following a cold front, cold air advection takes place.
Convection, which is the vertical transfer of heat, causes the Earth to heat up unevenly and may also involve water vapor. The air above a region that warms up more quickly than its surroundings, such as a parking lot made of black asphalt, will warm up and expand.
Heat is transferred through contact in conduction. Only the first few meters of the atmosphere that comes into contact with the earth are affected by this in the atmosphere. Although it is a gradual process, air masses are also created (the atmosphere over a large area of ice in the arctic will form an arctic air mass over weeks due to conduction). In real life, it has been noticed that a pan of water heated over a flame to a boil rises in temperature, but when the flame is extinguished, the temperature falls gradually.
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Why did it take astronomers until 1838 to measure the parallax of the stars?.
Answer:What they did not count on is the immense distance to the stars, which made the shift so small it was not able to be detected until the 1830s. The first scientist to do so was Friedrich Bessel in 1838. The method that is used to measure distances to nearby stars is called trigonometric parallax, or sometimes, triangulation.
Explanation:
what energy is produced by a 200 w lightbulb lit for 2.5 hours? answer in units of j.
The energy produced by a 200 W light bulb after 2.5 hours of use is 1,800,000 J.
Energy (J) = Power (W) x Time is the formula for computing energy from power and time (s). Power is the rate of energy production or consumption, commonly expressed in watts (W), and time is the length of time.
The following formula can be used to determine how much energy a 200 W light bulb produces over the course of 2.5 hours:
Energy (J) equals Power (W) times Time (s)
We must first translate 2.5 hours into seconds:
2.5 hours equals 9,000 seconds (2.5 × 60 x 60).
We can now determine how much energy the lightbulb produces:
= 200 W x 9,000 seconds.
= 1,800,000 J
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-. A game show contestant won a prize by pushing a bowling ball 20 meters using her nose. The amount of workdone was 1470 Joules. How much force did the game show contestant exert on the ball?
39. (a) by how many percent is the torque of a motor decreased if its permanent magnets lose 5.0% of their strength? (b) how many percent would the current need to be increased to return the torque to original values?
To calculate the percentage decrease in torque when the permanent magnets lose 5.0% of their strength, we can use the following formula: Percentage decrease = (Change in strength / Original strength) x 100
(a) Let's assume the original torque of the motor is T and the permanent magnets lose 5.0% of their strength. The change in strength would be 5.0% of the original strength, which can be represented as 0.05 times the original strength.
Therefore, the percentage decrease in torque would be:
Percentage decrease = (0.05 / 1) x 100 = 5.0%
So, the torque of the motor would decrease by 5.0%.
(b) To calculate the percentage increase in current needed to return the torque to its original value, we need to consider the relationship between torque and current in the motor. Assuming torque is directly proportional to the current, we can use a similar formula:
Percentage increase = (Change in torque / Original torque) x 100
Since the torque needs to be returned to its original value, the change in torque would be 0. To calculate the percentage increase in current, we assume the change in torque is equal to the original torque.
Percentage increase = (0 / T) x 100 = 0%
So, there would be no percentage increase in the current needed to return the torque to its original value.
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Squall lines most often form ahead of a: a. cold front. b. warm front. c. cold-type occluded front. d. warm-type occluded front.
Squall lines most often form ahead of a cold front. A squall line is a narrow band of thunderstorms that form along or ahead of a cold front.
As the cold front moves into a warm, moist air mass, it causes the warm air to rise rapidly and triggers the development of thunderstorms. These storms can produce strong winds, heavy rain, and lightning, and can sometimes develop into severe thunderstorms that produce tornadoes. Squall lines are often associated with the development of severe weather, and it is important to monitor weather forecasts and take appropriate safety precautions when a squall line is expected.
While squall lines can form ahead of other types of fronts, they are most commonly associated with cold fronts. In contrast, warm fronts tend to produce more widespread, light to moderate precipitation and are less likely to produce severe weather.
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in trial 1 of an experiment, a cart moves with speed v0 on a frictionless, horizontal track and collides elastically with another cart that is initially at rest. in trial 2, the setup is identical except that the carts stick together during the collision. how does the speed of the two-cart system’s center of mass change, if at all, during the collision in each trial?Trial 1 Trial 2(A) Does not change Does not change(B) Does not change Decreases (C) Decreases Does not change(D) Decreases Decreases
The answer that matches both trials is (A) Does not change - Does not change.
The speed of the two-cart system's center of mass during the collision in each trial can be analyzed using the principle of conservation of momentum. In both trials, the total momentum before and after the collision remains the same.
In Trial 1, the collision is elastic, meaning that both kinetic energy and momentum are conserved. The center of mass does not change during the collision since the total momentum remains constant. Therefore, for Trial 1, the correct answer is "Does not change."
In Trial 2, the carts stick together during the collision, and although kinetic energy is not conserved, the total momentum is still conserved. As a result, the center of mass of the two-cart system does not change during the collision.
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What is the mass of a student who weighs 524 newton
Mass of the student is approximately 53.47 kilograms.
The mass of a student who weighs 524 Newton can be calculated using the formula: Weight = Mass x Gravity
Assuming the acceleration due to gravity is approximately 9.8 meters per second squared on the Earth's surface : Mass = Weight / Gravity
Substituting the given weight of 524 Newton, we get:
Mass = 524 N / 9.8 m/s^2 ≈ 53.47 kg
The mass of the student is approximately 53.47 kilograms. It is important to note that mass is a measure of the amount of matter in an object and is different from weight, which is the force exerted on an object due to gravity.
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An elevator travels at an average velocity of +5 m/s for 10 seconds and then -8 m/s for 5 seconds. Determine the elevator's displacement.
Displacement at 10s
\(\\ \bull\tt\dashrightarrow Velocity\times Time\)
\(\\ \bull\tt\dashrightarrow 5(10)=50m\)
Displacement at next 5s
\(\\ \bull\tt\dashrightarrow -8(5)=-40m\)
Now
Total displacement=50-40=10m
find the body's acceleration each time the velocity is zero
The body's acceleration when the velocity is zero can be found by evaluating the derivative of the velocity-time graph at those points. The acceleration at each instance when the velocity is zero will give the body's instantaneous acceleration at that particular moment.
When the velocity of a body is zero, it means that the body is momentarily at rest. In such cases, we can analyze the body's motion by examining its velocity-time graph.
The points on the graph where the velocity is zero correspond to the instances when the body changes its direction of motion or comes to a temporary halt.
To find the body's acceleration at those instances, we need to calculate the derivative of the velocity-time function. The derivative gives us the rate of change of velocity with respect to time, which represents acceleration.
By evaluating the derivative at the points where the velocity is zero, we can determine the body's acceleration at those specific moments.
It's important to note that the body's acceleration when the velocity is zero can vary depending on the shape of the velocity-time graph and the specific behavior of the body's motion.
The acceleration may be positive if the body is decelerating, negative if it's accelerating in the opposite direction, or zero if the body maintains a constant velocity.
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What Is 32 Degrees Celsius in Fahrenheit?
Answer:
What Is 32 Degrees Celsius in Fahrenheit?
89.6
89.6 F is the correct answer.
What is temperature ?
Temperature is a measure of the thermal energy of a substance or system. It reflects the degree of hotness or coldness of a material, and is a crucial parameter in many physical and biological systems. Temperature is a scalar quantity and is usually measured in units of kelvins, Celsius, or Fahrenheit. The Kelvin scale is an absolute temperature scale, where 0 K represents absolute zero, the temperature at which all matter has no thermal energy. The Celsius and Fahrenheit scales are relative temperature scales, with 0°C and 32°F defined as the freezing point of water and 100°C and 212°F defined as the boiling point of water.
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(answer it or get reported) Please answer it w the steps
Answer;
The mass value for the above kinetic energy equation is 400.0000 kg. This is equal to:
■ 400,000.0000 g.
■ 14,109.6000 ounces.
■ 881.8480 pounds.
Brian is at school and wants to walk home. How far and in what direction should he travel?
Using a lever, Tallulah is able to lift a 10,000 N car off of the ground with a force of 1000 N. What is the mechanical advantage of the lever?
The mechanical advantage of the of the lever is determined as 10.
What is mechanical advantage?A mechanical advantage is a form of calculation that measures the amplified force taken by the mechanical system.
Mathematically, the formula for mechanical advantage is given as follows;
M.A = load / effort
In this question the load is given as 10,000 N
The effort applied in lifting the car is given as 1000 N
The mechanical advantage of the of the lever is calculated as follows;
M.A = load / effort
M.A = 10,000 N / 1000 N
M.A = 10
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If your car is going 19 m/s at the beginning of the block (250 meters long), and your acceleration is 3.9
m/s?, how fast are you going at the end of the block?
Answer:
48 m/s
Explanation:
Given:
Δx = 250 m
v₀ = 19 m/s
a = 3.9 m/s²
Find: v
v² = v₀² + 2aΔx
v² = (19 m/s)² + 2 (3.9 m/s²) (250 m)
v ≈ 48 m/s
What is the age of a meteorite if potassium-40 decayed from 80 g to 10 g? The half-life of potassium-40 is 1.3 billion years.
Answer:
10 / 80 amount of potassium-40 remaining
1/8 = 1/2 * 1/2 * 1/2 = 3 half-lives
3 half-lives * 1.3E9 yrs / half-life = 3.9E9 yrrs
After 3.9 billion years the 80 g will have decayed to 10 g
Answer:
3.9 billion years
Explanation:
i took test
A basketball is dropped from top of the rim. It takes 1.3s to fall, what is the displacement?
a. 8.45 m
b. 8.321 m
c. 33.67 m
d. 33.8 m
Answer:
d = 8.45 m
Explanation:
Given that,
A basketball is dropped from top of the rim.
It takes 1.3s to fall.
We need to find the displacement of the basketball. Let the displacement is d. Using second equation of kinematics,
\(d=ut+\dfrac{1}{2}at^2\)
Where
u is the initial velocity, u = 0
a = g
So,
\(d=\dfrac{1}{2}\times 10\times 1.3^2\\\\d=8.45\ m\)
So, the displacement of the basketball is 8.45 m.
Which of the following sets of two charges is experiencing the strongest
attraction?
Charges of +2 C and -2 C, separated by 1 m.
Charges of +1 C and -3 C, separated by 1 m.
Charges of +2 C and +2 C, separated by 1 m.
Charges of +1 C and +3 C, separated by 1 m.
The set of two charges experiencing the strongest attraction is charges of +2 C and -2 C, separated by 1 m. Option A.
How to identify the two charges experiencing the strongest attraction?+2 C and -2 C is an attracting force because the charges are opposite
For Charges of +2 C and -2 C the force of attraction between two charges is directly proportinal to the product of their charges and inversely proportional to the square of the distnce between them.
The product of the charges is 2 × -2 = -4 C², and the square of the distance between them is 1² = 1 m².
The force of attraction between these two charges is -4 / 1 = -4 N.
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Fill in these blanks:
If you increase the temperature of gas in a container that cannot expand, the pressure will _______. This is because the particles in the gas are moving _______ and colliding _______ often.
If you increase the temperature of gas in a container that cannot expand, the pressure will increase. This is because the particles in the gas are moving faster and colliding more often.
What happens when temperature of gas is increased?The kinetic theory of gases explains that the temperature of a gas is related to the average kinetic energy of its particles. When the temperature of the gas is increased, the particles move faster and collide more frequently with the walls of the container, resulting in a greater number of collisions per unit of time.
This increased number of collisions leads to an increase in pressure within the container, as the force of each collision adds up to a greater overall force on the walls of the container. Therefore, increasing the temperature of gas in a container that cannot expand will lead to an increase in pressure.
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