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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A balloon has a volume of 1.5-L at 25*C. What would be the volume of the balloon if it were placed in a container of hot water at 90*C?
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.
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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which category are liquids and gases a part of? PLEASE HELP
-compounds
-solutions
-solids
-fluids
Liquids and gases are a part of fluids.
Explanation
Liquids and gases are two states of matter and they differ from solids in terms of close packing of the particles and freedom of movement. The solid particles are closely packed allowing lesser freedom of movement while the particles are not the tightly packed in liquids and gases. gases have greater freedom of movement than solids and liquids and liquids have greater freedom of movement than solids.
Due to this factor liquids and gases can move or flow easily and that is why they are called fluids.
PLEASE HELPPP
_______________ is when the bronchial tubes swell up. This is usually cause by some sort of allergy, but exercise and stress can also cause the attack.
a) influenza
b) pneumonia
c) asthma
d) Parkinson's
Answer:
Athsma. Pneumonia is the only other one it could be, but is not brought on the excercise, allergy, stress.
Explanation:
Hope this helps! Happy Trails!
A non-infectious disease is a disease that you can not catch.
True or False
40 pointsss
Answer:
TRUE
Explanation:
Answer: TRUE
Explanation:
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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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.
calculate the total surface area of a solid cone of slant height 15cm and base radius 8cm.
Answer:
it's 578 cm
[tex]\pi \times 8 \times 15 + \pi \times {8 }^{2} = 578[/tex]
Explanation:
[tex]surface \: area \: of \: a \: corn = \pi \times radius \times slant \: height + \pi \times {r}^{2} [/tex]
A ship sends out a pulse of sound and receives an echo back one second later. If the water is 750m deep, what is the speed of sound in water?
Answer:
1500 m/s
Explanation:
The sound wave travels 750 meters from the ship to the bottom of the water, then 750 meters back to the ship. So it travels a total distance of 1500 meters in 1 second.
So the average speed is:
v = 1500 m / 1 s
v = 1500 m/s
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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If a truck has 40,500 kg*m/s momentum and is moving with a velocity of 90 M/S, what is the trucks mass?
Answer: 450 kg
Explanation: p=mv
m= p/v
m=40500/90
m=450kg
The mass of the truck given that it has a momentum of 40500 Kgm/s and moving at 90 m/s is 450 Kg
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
How to determine the mass Momentum = 40500 Kgm/sVelocity = 90 m/sMass =?Momentum = mass × velocity
40500 = mass × 90
Divide both side by 90
Mass = 40500 / 90
Mass = 450 Kg
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A train travels 55 km south along a straight track in 34 minutes. What is the train's average velocity in kilometers per hour?
Answer: v = 96.5 km/h
Explanation: Solve this problem using the following equation:
v= d/t
First convert t in minutes into hours
34 mins x 1 hour / 60 mins
= 0.57 h
Substitute the values
v = 55 km / 0.57 h
= 96.5 km/h
Add each of the following vectors and find the total resultant.
a. 15 m East and 25 m North.
b. 220 m North and 80 m West.
c. 2.2 m South and 1.8 m North.
d. 150 m East and 180 m South.
e. 45 m South, 30 m East, and 15 m North.
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