Answer: The terminal velocity of the skydiver is 281.30 m/s.
Explanation:
Mass of the sky diver = 75 kg
Density of the air at height of 39,000 m =4.3% of the surface density of the air
= [tex]1.2 kg/m^3\times \frac{4.3}{100}=0.0516 kg/m^3[/tex]
Cross sectional area of the sky diver , A = [tex]0.72 m^2[/tex]
Coefficient of drag ,C = 0.5
The terminal speed is given by the formula:
[tex]v_T=\sqrt{\frac{2mg}{c\rho A}}[/tex]
[tex]v_T=\sqrt{\frac{2\times 75 kg\times 9.8 m/s^2}{0.5\times 0.0516 km/m^3\times 0.72 m^2}}=281.30 m/s[/tex]
The terminal velocity of the skydiver is 281.30 m/s.
The terminal speed of the skydiver is [tex]\boxed{281.452{\text{ m/s}}}[/tex].
Further Explanation:
When a body falls from the sky it will accelerate continuously in the downward direction by the force of gravity results in increment in the acceleration. Another force is acting on the body is friction force due to air or the particles present in the atmosphere in the in the upward direction or opposite to the direction of motion also called drag force. The drag force is directly proportional to the square of the velocity of falling body. Therefore, with increase in the velocity the drag force also increasing which is proportional to equal to the square of the velocity of falling body. And time will come where the drag force is equal to the weight or the force of gravity results in zero resultant force means zero acceleration. At this point the speed become constant and reached its maximum velocity. This speed is called the terminal velocity.
Given:
The height of the jump is [tex]39000\text{ m}[/tex].
The density air is [tex]4.3\%[/tex] of the surface density.
The density of air at sea level is [tex]1.2{\text{ kg/}}{{\text{m}}^3}[/tex].
The mass of the skydiver is [tex]75\text{ kg}[/tex].
The cross sectional area of the skydiver is [tex]0.72{\text{ }}{{\text{m}}^2}[/tex].
Concept:
The expression for the terminal speed is:
[tex]\fbox{\begin\\{v_t} =\sqrt {\dfrac{{2mg}}{{\rho A{C_d}}}}\end{minispace}}[/tex] …… (1)
Here, [tex]{v_t}[/tex] is the terminal speed, [tex]m[/tex] is the mass of the skydiver, [tex]g[/tex] is the acceleration due to gravity, [tex]\rho[/tex] is the density, [tex]A[/tex] is the cross sectional area and [tex]{C_d}[/tex] is the drag coefficient.
The term [tex]g[/tex] is called acceleration due to gravity and it has a constant value of [tex]9.81{\text{ m/}}{{\text{s}}^2}[/tex] and the drag coefficient of a human in free fall is [tex]0.5[/tex].
The density of the air at the altitude of [tex]39000\text{ m}[/tex] is:
[tex]\rho=4.3\%\times{\rho _{air}}[/tex]
Here,[tex]\rho[/tex] is the density of the air at the altitude of [tex]39000\text{ m}[/tex] and [tex]{\rho _{air}}[/tex] is the surface density of the air.
Substitute [tex]1.2{\text{ kg/}}{{\text{m}}^3}[/tex] for [tex]{\rho _{air}}[/tex] in the above equation.
[tex]\begin{aligned}\rho&=4.3\%\times1.2{\text{ kg/}}{{\text{m}}^3}\\&=\frac{{4.3}}{{100}}\times1.2{\text{ kg/}}{{\text{m}}^3}\\&=0.0516{\text{ kg/}}{{\text{m}}^3}\\\end{aligned}[/tex]
Substitute [tex]0.0516{\text{ kg/}}{{\text{m}}^3}[/tex] for [tex]\rho[/tex], [tex]75\text{ kg}[/tex] for [tex]m[/tex], [tex]9.81{\text{ m/}}{{\text{s}}^2}[/tex] for [tex]g[/tex], [tex]0.72{\text{ }}{{\text{m}}^2}[/tex] for [tex]A[/tex] and [tex]0.5[/tex] for [tex]{C_d}[/tex] in equation (1).
[tex]\begin{aligned}{v_t}&=\sqrt{\frac{{2\left({75{\text{ kg}}}\right)\left( {9.81{\text{ m/}}{{\text{s}}^2}} \right)}}{{\left({0.0516{\text{ kg/}}{{\text{m}}^3}}\right)\left({0.72{\text{}}{{\text{m}}^2}} \right)\left( {0.5} \right)}}}\\ &=\sqrt{\frac{{1471.5}}{{0.018576}}}{\text{ m/s}}\\&=\sqrt{79215.116}{\text{ m/s}}\\&=281.452{\text{ m/s}}\\ \end{aligned}[/tex]
Therefore, the terminal speed of the skydiver is [tex]\boxed{281.452{\text{ m/s}}}[/tex].
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Answer Details:
Grade: High school
Subject: Physics
Chapter: Kinematics
Keywords:
Air, less, dense, higher, elevation, skydivers, reach high, terminal speed, recorded, achieved, jump, height, 39,000 m, density, air, 4.3%, surface density, estimate, sea, level, , mass, 75 kg, cross section, area, , 281.452 m/s.
Light rays that enter the hole of a pinhole camera form _____ on the back wall of the camera.
Light rays entering a pinhole camera form an inverted image on its back wall; the idea is inverted because light travels in straight lines and doesn’t reorient upon entering the pinhole.
Explanation:
Light rays that enter the hole of a pinhole camera form an inverted image on the back wall of the camera. This occurs as the light rays from an object diverge, and only a tiny portion of these rays enter the pinhole, causing them to form an image. Notably, this image is flipped upside down - or inverted - because light travels in straight lines, and the rays do not reorient themselves after entering the pinhole. An important aspect to understand is that these rays do not cross each other upon entering the pinhole, thereby ensuring the formation of a clear and inverted picture on the back wall of a pinhole camera. This is fundamentally akin to how light enters the human eye to form an image on the retina, where a similar effect is also observed, resulting in the need for the brain to flip the image right-side up for us to perceive our surroundings correctly.
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When you kick a soccer ball, you apply a force f1 to the ball. what force f2 does the soccer ball exert on your foot? 1. there is no force f2. 2. f1 = f2, acting in the same direction 3. f1 = f2, acting in opposite directions 4. f2 < f1 5. f1 < f2?
How long does it take Anya to cover the distance of 5 miles if Ilya and Anya each can run at a speed of 8.70 mph and walk at a speed of 3.30 mph. They set off together on a route of length 5 miles. Anya walks half of the distance and runs the other half. Ilya Walks half of the time and runs the other half.
Why does metal feel colder than cardboard? Enter in complete sentences
What results from splitting an atomic nucleus?
2 atoms identical to the original atom are formed
2 new atoms different from the original atom are formed
2 atoms are chemically joined
1 new atom different from the original is formed
Splitting an atomic nucleus, also known as nuclear fission, results in the formation of two new atoms different from the original. These new atoms are often smaller, more stable, and radioactive.
Explanation:When an atomic nucleus is split, the process typically results in the formation of two new atoms which are different from the original atom. This process is referred to as nuclear fission. It's important to note that nuclear fission often results in atoms that are smaller and more stable than the original, but they are not necessarily identical. These new atoms are often radioactive, meaning they emit radiation. Additionally, an enormous amount of energy is usually released during the process.
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A child is riding a bike and skids to a stop. what happens to their kinetic energy?
Which of the following does notaccurately describe transistors?
A. Both NPN and PNP transistors consist of an emitter, base, and collector. B. Both NPN and PNP transistors consist of a base composed of an N-type material. C. Both NPN and PNP transistors consist of P-type and N-type material. D. Both NPN and PNP transistors operate in the same manner but with interchanged terminals and opposite directions of voltage and current.
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What is the rate at which energy is transformed
The rate at which energy is transformed is called power, which is measured in watts. One watt equals one joule of energy transferred per second. This concept is important in understanding energy use and efficiency.
Explanation:The rate at which energy is transformed or transferred is called power. Power is measured in watts (W) in the International System of Units (SI). One watt is equal to one joule of energy transformed per second.
For example, if a light bulb transforms 60 joules of electrical energy into light and heat energy every second, we would say that the power of the light bulb is 60 watts.
By understanding the rate of energy transformation, we can calculate how much energy a device uses over a given period of time, which is useful for things like understanding electricity bills or determining the efficiency of different appliances.
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A rock is dropped at the same instant that a ball at the same height is thrown horizontally. which will will have the greater speed when it reaches the ground? ball rock both will reach at the same time impossible to answer
Which theory of language development and acquisition includes the concepts of reinforcement, stimuli control, deprivation, and aversive stimulation?
a.skinner’s idea of language
b.jean piaget’s theory of cognitive development
c.chomsky’s nativist approach
d.bruner’s theory of language development
The answer is: a. Skinner’s idea of language
Skinner was a psychologists and one of the first behaviorists. In his language acquisition theory, he states that language acquisition is an environmental and social phenomenon; therefore, children acquire language through operant conditioning, which includes stimuli control, reinforcement (positive and aversive), and deprivation.
The correct answer is option A
The Skinner's idea of language was based on the behaviorist reinforcement principles which is associated with the words and the meaning.
The utterance of the words are reinforced on the child when he or she realizes the value of sentence formation, communication et cetera.
Example: if a child asks for milk and the mother smiles after the child asks for milk then the child will find his outcome with some rewards.
Teams red and blue are having a tug-of-war. According to Newton's third law, the force with which the red team pulls on the blue team exactly equals the force with which the blue team pulls on the red team.How can one team ever win?
According to Newton's third law, the forces between the red and blue teams cancel each other out. However, the team that can exert a larger net force on the ground will be able to win the tug-of-war. Net force accounts for the forces between each team and the ground.
Explanation:According to Newton's third law of motion, the force with which the red team pulls on the blue team is exactly equal in magnitude and opposite in direction to the force with which the blue team pulls on the red team. So, it may seem like neither team can win because the forces cancel each other out. However, the key to understanding how one team can win lies in the concept of net force.
Net force is the vector sum of all the individual forces acting on an object. In the case of the tug-of-war, each team is exerting a force on the other, but they are also exerting a force on the ground. These ground forces are in opposite directions, but they are not equal in magnitude, as the ground provides more resistance to one team than the other.
Therefore, the team that can exert a larger net force on the ground will be able to accelerate in that direction and win the tug-of-war. It's not just about the forces between the teams, but also the forces between each team and the ground.
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A.Geoff uses another classmate’s data because he forgot to record his own experiment’s temperature readings.
B.Shelby accidentally switches steps 3 and 4 while writing her laboratory procedure.
C.Rupal determines aluminum is the most reactive metal by completing only half of her experiment.
D.Juan records the density of acetone in grams per cubic liters instead of grams per milliliters.
Answer:
the answer is c
Explanation:
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Answer:
78 N - S
Explanation:
It is correct
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An elevator accelerates upward at 1.2 m/s 2 . the acceleration of gravity is 9.8 m/s 2 . what is the upward force exerted by the floor of the elevator on a(n) 76 kg passenger? answer in units of n.
The upward force exerted on the passenger is 836 N.
The given parameters;
acceleration of the elevator, a = 1.2 m/s²acceleration due to gravity, g = 9.8 m/s²mass of the object, m = 76 kgThe upward force on the object can be determined by applying Newton's second law of motion.
Since the elevator is ascending upwards, the force on the elevator will become greater and the passenger feels a heavier weight.
∑F = ma + mg
F = m(a + g)
F = 76(1.2 + 9.8)
F = 836 N.
Thus, the upward force exerted on the passenger is 836 N.
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A particular lever can lift a load with 80 percent efficiency. If 40 N of effort is applied 2.5 meters from the fulcrum, then what is the maximum load that can be lifted 1.5 m from the fulcrum?
A) 5333 N
B) 1920 N
C) 66.7 N
D) 53.3 N
Final answer:
To find the maximum load a lever can lift given its efficiency and distances from the fulcrum, calculate the mechanical advantage, then adjust for efficiency. The maximum load with 80 percent efficiency is 53.3 N, answer D.
Explanation:
The question is about calculating the maximum load that a lever can lift, given its efficiency, the effort applied, and the distances from the fulcrum on both the effort and the resistance arms. To solve this problem, we use the concept of mechanical advantage (MA) and take into account the efficiency of the lever.
The mechanical advantage (MA) of a lever is the ratio of the effort arm length to the resistance arm length. Therefore, MA = Effort Arm / Resistance Arm. In this case, MA = 2.5m / 1.5m = 1.6667.
Since the lever is at 80 percent efficiency, the actual maximum load will be less than the theoretical maximum load. If the effort is 40 N, then theoretically, the lever could lift a load of MA × Effort = 1.6667 × 40 N = 66.667 N. Considering the 80 percent efficiency, the actual maximum load that can be lifted is 0.8 × 66.667 = 53.3 N. Therefore, the correct answer is D. 53.3 N.
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w h a t i s h e a t ????
HELP PLEASE
Can some please clearly explain the thermal energy equation?
Q=m(Tf - Ti)C
I know that Q is change in thermal energy which is measured in joules m is mass the Ts mean change in temperature and C is specific heat.
What i want to know is how to do the equation. My book doesn't explain it well. Please take your time to explain CLEARLY my brain is dead -_- you can use illustrations or whatever but please do so CLEARLY. Thanks!
A car moving at a speed of 8.0 meters per second enters a highway and accelerates at 3.0 meters per second^2. How fast will the car be moving after it has accelerated for 56 meters?
Answer:
Final speed of the car, v = 20 m/s
Explanation:
It is given that,
Initial speed of the car, u = 8 m/s
Acceleration of the car, [tex]a=3\ m/s^2[/tex]
Let v is the speed of the car after it has accelerated for 56 meters. It can be calculated suing the third equation of motion. It is given by :
[tex]v^2-u^2=2ad[/tex]
[tex]v^2=u^2+2ad[/tex]
[tex]v^2=(8)^2+2\times 3\times 56[/tex]
v = 20 m/s
So, the car is moving after it has accelerated for 56 meters is 20 m/s. Hence, this is the required solution.
When h2o is removed from the mixture does the equilibrium shift to the right to the left or is there no shift?