Answer:
1.8 L
Explanation:
Ideal gas law:
PV = nRT
where P is absolute pressure,
V is volume,
n is number of moles,
R is the gas constant,
and T is absolute temperature.
Rearranging:
V / T = nR / P
Since n, R, and P are constant:
V₁ / T₁ = V₂ / T₂
1.5 L / (298.15 K) = V / (363.15 K)
V = 1.8 L
Charles's Law is used to find the new volume of a balloon when heated from 25°C to 90°C. Converting these temperatures to Kelvin and solving gives a new volume of 1.83 L.
The question involves understanding how the volume of a gas changes with temperature, governed by Charles's Law, which states that the volume of a gas at constant pressure is directly proportional to its temperature in Kelvin. To find the new volume of a balloon when its temperature is increased from 25°C to 90°C, we first convert these temperatures to Kelvin (°K) because the gas law uses absolute temperatures. The formula to convert Celsius to Kelvin is K = °C + 273.15. Thus, the original temperature is 298.15 K (25 + 273.15), and the new temperature is 363.15 K (90 + 273.15).
Using Charles's Law (V1/T1 = V2/T2), where V1 is the original volume (1.5 L), T1 is the original temperature (298.15 K), V2 is the final volume, and T2 is the final temperature (363.15 K), we can solve for V2. Rearranging the formula gives us V2 = V1 * (T2/T1).
Substituting the given values, V2 = 1.5 L * (363.15 K / 298.15 K) = 1.5 L * (1.218) = 1.83 L. Therefore, the volume of the balloon when placed in a container of hot water at 90°C would be 1.83 L.
Which of the following best describes the picture shown below?
Answer:
b
Explanation:
its b
As per the image depicted the picture shows us the arrow and the target to be hit.
As per the picture 2 or 3 arrows have been shown in the green region that is quite far form the spot in red. This shows the concept of poor or low accuracy and high precession as all of them are in same place.Hence the option B is correct.
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A rock has a mass of 340.6 kg and a volume of 214 cm^3. Calculate the density
Density = mass/volume
Density = 340.6kg / 214 cm^3
Density = 1.592 kg/ cm^3
Density = 1,592 gram/cm^3
That's about 70 TIMES the density of the most dense natural element (Osmium). This is one verrrry interesting rock !
According to the question,
Mass, m = 340.6 kgVolume, V = 214 cm³We know the formula,
→ [tex]Density = \frac{Mass}{Volume}[/tex]
By substituting the values, we get
[tex]= \frac{340.6}{214}[/tex]
[tex]= 1.592 \ kg/cm^3[/tex]
or,
[tex]= 1592 \ g/cm^3[/tex]
Thus the response above is correct.
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A current 1A in the human body is extremely dangerous.
a) Estimate the potential difference needed to produce this current.
b) Suggest why your are unlikely to be injured by an electric current in your house.
Please answer both questions.
a) Potential difference needed: 10,000 V
b) Because the potential difference in the house is maximum 230 V
Explanation:
a)
The relationship between current, potential difference and resistance in a conductor is given by Ohm's law:
[tex]V=RI[/tex]
where
V is the potential difference
R is the resistance
I is the current
The resistance of the human body is estimated to be as high as [tex]100,000 \Omega[/tex] for a dry body and as low as [tex]1000 \Omega[/tex] for a wet body: in this problem, we use a value in the middle,
[tex]R=10,000 \Omega[/tex]
Therefore, the potential difference needed to produce a current of
[tex]I=1 A[/tex]
is
[tex]V=(10,000)(1)=10,000 V[/tex]
b)
Here we want to estimate if it is likely or not to get injured by an electric current in a house.
The amount of current that can be fatal is [tex]I=1 A[/tex]. From part a), we saw that in order to produce this current through the human body, a potential difference of
[tex]V=10,000 V[/tex]
is needed.
However, the electricity that reaches the houses and then is connected to the household appliances has a potential difference of
V = 230 V
This value is much lower than 10,000 V, therefore the electricity in the house is unlikely to cause injures to human body.
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stephanie, who has a mass of 75 kg is driving and suddenly slams on her brakes to avoid hitting a student crossing blanco road. she is wearing her seatbelt, which brings her body to a stop at 0.5 seconds. an average foce of 3750 N is exerted on her body during the collision. how fast was she going before applying the brakes?
Answer:
25 m/s
Explanation:
Impulse = change in momentum
F Δt = m Δv
(3750 N) (0.5 s) = (75 kg) (v − 0 m/s)
v = 25 m/s
How to find final velocity
Answer:
Explanation:
The equation or formula for velocity is similar to speed. To figure out velocity, you divide the distance by the time it takes to travel that same distance, then you add your direction to it.
Final answer:
To calculate final velocity, identify the knowns (initial velocity, acceleration, time), determine the unknown (final velocity), use the equation v = vo + at, and solve by substituting values into the equation.
Explanation:
To find the final velocity of an object, you must first:
Identify the known values, such as initial velocity (vo), acceleration (a), and time (t).
Determine the unknown, which is the final velocity (v).
Select the appropriate equation to calculate final velocity. The standard equation used is v = vo + at.
Substitute the known values into the equation and solve for the final velocity.
For example, if the initial velocity is 70.0 m/s, the acceleration is -1.50 m/s², and the time is 40.0 s, you would calculate the final velocity as follows:
v = vo + at = 70.0 m/s + (-1.50 m/s²) (40.0 s) = 10.0 m/s
This calculation reveals that the final velocity of the object after 40 seconds is 10.0 m/s.
A 40 kg gymnast somersaults into a foam ball pit at a speed of 7 m/s. If the foam applies an average resistive force of 1,000 N, how far into the pit will the gymnast sink before she stops?
The distance covered is 0.98 m
Explanation:
Newton's second law states that the force applied on the gymnast is equal to the product between its mass and its acceleration:
[tex]F=ma[/tex]
where in this case,
F = -1000 N is the force applied (negative since it is opposite to the direction of motion)
m = 40 kg is the mass
a is the acceleration
Solving for a,
[tex]a=\frac{F}{m}=\frac{-1000}{40}=-25 m/s^2[/tex]
Since the motion of the gymnast is a uniformly accelerated motion, we can now apply suvat equations:
[tex]v^2-u^2=2as[/tex]
where
v = 0 is the final velocity of the gymnast
u = 7 m/s is the initial velocity
[tex]a=-25 m/s^2[/tex] is the acceleration
s is the distance through which the gymnast moves before stopping
And solving for s,
[tex]s=\frac{v^2-u^2}{2a}=\frac{0-7^2}{2(-25)}=0.98 m[/tex]
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Using the principles of work and kinetic energy, we can calculate that the gymnast will sink 0.98 meters into the foam pit before coming to a stop.
Explanation:In this physics problem, we are dealing with the principles of work and kinetic energy. The work done to stop the gymnast can be calculated using the formula W=Fxd, where F is the resistive force, and d is the distance. It’s also equal to the change in kinetic energy, which can be found using KE = 0.5mv^2.
To calculate the distance into the pit the gymnast will sink, we first calculate her initial kinetic energy. It’s KE = 0.5*(40 kg)*(7 m/s)^2 = 980 Joules. The work done to stop her (which is equal to her initial kinetic energy) is W = 980 Joules. Now, solve the work equation for distance: d = W/F = 980 Joules / 1000 N = 0.98 m. So, the gymnast will sink 0.98 meters into the foam pit before she stops.
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