Therefore, if the ball is in contact with the player's head for 6.7 ms and rebounds in the opposite direction, the direction of the impulse delivered to the ball will be in the opposite direction of the initial velocity of the ball, which is towards the player's head.
The direction of the impulse delivered to the ball can be determined based on the change in momentum experienced by the ball during the contact with the player's head.
Impulse is defined as the change in momentum of an object and is given by the equation:
Impulse = Change in momentum = m × Δv
where:
m is the mass of the ball
Δv is the change in velocity of the ball
To determine the direction of the impulse, we need to know the initial and final velocities of the ball during the contact. If the ball is initially moving towards the player's head and then rebounds away from the head, the change in velocity (Δv) will have an opposite direction to the initial velocity.
Therefore, if the ball is in contact with the player's head for 6.7 ms and rebounds in the opposite direction, the direction of the impulse delivered to the ball will be in the opposite direction of the initial velocity of the ball, which is towards the player's head.
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A 1300 kg sports car can accelerate from 0 to 27 m/s in 5.2 seconds. How much power from the engine is directly going into accelerating the car? Group of answer choices 474,000 W 3375 W 35,100 W 91,100 W
The power expended is calculated as 91,100 W.
What is the power?We know that the acceleration can be obtained by the use of the equation;
v = u + at
v = final velocity
u = initial velocity
t = time
a = acceleration
a= v - u/t
a = 27 - 0/ 5.2 = 5.2 m/s^2
Thus;
v^2 = u^2 + 2as
but u= 0 m/s
v^2 = 2as
s = v^2/2a
s = (27)^2/2 * 5.2
s = 70 m
Now;
Work done = 1300 kg * 5.2 m/s^2 * 70 m = 473200 J
Power = 473200 J/5.2 seconds
Power = 91,100 W
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An inelastic collision is one in which:
kinetic energy before the collision equals kinetic energy after the collision.
kinetic energy after the collision is zero.
kinetic energy before the collision is less than kinetic energy after the collision.
kinetic energy before the collision is greater than kinetic energy after the collision.
Answer:
kinetic energy before the collision is greater than kinetic energy after the collision.
Explanation:
An inelastic collision is Kinetic energy before the collision is greater than kinetic energy after the collision.
Kinetic energy before the collision is more than after the collision in an inelastic collision. Some of the initial kinetic energy is lost in an inelastic collision, usually transformed into heat or sound. Colliding objects stick together or deform, decreasing their aggregate kinetic energy. This type of collision commonly loses energy due to internal forces or friction. The system's total kinetic energy is lowered in an inelastic collision, unlike an elastic collision. Many real-world collisions are inelastic due to energy dissipation and deformation.
In an inelastic collision, some kinetic energy is lost, and the objects stick together or deform during the collision. The final kinetic energy is less than the initial kinetic energy, resulting in less total mechanical energy after the collision compared to before the collision.
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A boat with an initial speed of 5.0 m/s accelerates at a uniform rate of 1.2
m/s2 for 5.0 s. What is the final speed of the boat during this time? (P.4B)
A. 6.0 m
B. 6.2 m
C. 11 m/s
D. 26 m/s
Answer:
v = 11 m/s
Explanation:
Given tha,
Initial speed, u = 5 m/s
Acceleration, a = 1.2 m/s²
Time, t = 5 s
We need to find the final speed of the boat during this time. Let it is v. Using first equation of motion as follows :
v = u +at
Putting all the values, we get :
v = 5 + 1.2(5)
v = 11 m/s
So, the final speed of the boat is 11 m/s. Hence, the correct option is (c).
A ball is thrown with initial velocity 20 meter per second by making an angle 30 degree with a horizontal then find time of flight.
Answer:
\(\huge\boxed{\sf T = 2.04\ secs}\)
Explanation:
Given Data:
Initial Velocity = \(\sf V_{i}\) = 20 m/s
Angle = \(\sf \theta\) = 30°
Acceleration due to gravity = g = 9.8 m/s²
Required:
Time of flight = T = ?
Formula:
\(\sf T = \frac{2\ V_{i}\ sin\theta}{g}\)
Solution:
Putting values in the above formula
T = 2(20)sin 30 / 9.8
T = 40 (0.5) / 9.8
T = 20 / 9.8
T = 2.04 secs
\(\rule[225]{225}{2}\)
Hope this helped!
~AnonymousHelper1807A 32 kg object has a momentum of 480 kg m/s northward. What is the
object's velocity?
O A. 15,360 m/s
B. 15 m/s
O C. 448 m/s
OD. 0.067 m/s
Answer:
B. 15 m/s
Explanation:
p = m × v
480 = 32 × v
32v = 480
v = 480/32
v = 15 m/s
Answer:
B. 15 m/s
Explanation:
P=MV
480=32×v
v=15m/s
The object having uniform velocity has zero acceleration, why?
Current is measured by placing the red plug into which port:a. Any port (they're all the same)b. 10 ADCc. COM (only this port!)d. V
Current is measured by placing the red plug into the 10 ADC port. So the correct answer is b. 10 ADC
To measure current, you need to Turn off the power to the circuit you want to measure. Set your multimeter to the appropriate current range (e.g., mA or A). Insert the red plug into the 10 ADC port on the multimeter. Insert the black plug into the COM port. Connect the multimeter in series with the circuit, meaning you need to break the circuit and connect the multimeter's probes between the two open points. Turn on the power to the circuit, and read the current value displayed on the multimeter.
The correct answer is b. 10 ADC
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A family has husband wife and three children A B and C the present age of husband is 5 years more than the vice president age the vice president age is twice the present age of a the present age of a is 12 years more than the present age of B 20 present age is one and a half times the present age of see if she is 12 years old at present what is the present age of husband's friend Ram who is 15 years younger than the husband
Answer:
38 years old.
Explanation:
So, we are given the following data or parameters or information which is going to assist us in solving this particular Question;
1=> The three children are A, B and C respectively.
2=> "the present age of husband is 5 years more than the wife's age."
3=> " the wife's age is twice the present age of A"
4=> the present age of A is 12 years more than the present age of B "
5=> B's present age is one and a half times the present age of C .
6=> "if C is 12 years old at present "
7=> "husband's friend Ram who is 15 years younger than the husband"
We will start from point 5 above that is to say;
B = C × 3/2. = 12 × 3/2 = 6 × 3= 18.
Also, A = 12 + B = 12 + 12= 24.
From the point 3 Above; the wife's age= 2 × A= 2 × 24 = 48 years of age.
From the point 2, we have that the husband's age = 5 + 48 = 53 years of age.
Thus, the present age of husband's friend, Ram who is 15 years younger than the husband = 53 - 15 = 38 years old
Which career may be a good fit for you if you enjoy planning meals and learning about proper nutrition?
A.
fitness instructor
B.
physical therapist
C.
medical researcher
D.
registered dietician
Answer:
D. Registered dietitian
Answer:
D
Explanation:
5. Find the velocity of a train that traveled 75 km in 35 minutes. (answer
in m/s). Conversion factors: 1000 m = 1 km; 60 s = 1 min.
75km=75000m
35min=2100 seconds
Velocity=Displacement/Time
=75000/2100
=750/21
=35.71 m/s
What is the resistance of a spool of copper wire (p = 1.68 x 10^-8 o-m), which is 20.0 meters long and has a radius of 1.04 x 10^-3 m?A. 9.89 x 10^-2B. 3.23 x 10^-4C. 1.14 x 10^-12D. 1.03 x 10^-4
The resistance of a spool of copper wire (p = 1.68 x 10⁻⁸ o-m), which is 20.0 meters long and has a radius of 1.04 x 10⁻³ m is 9.89 x 10⁻² o-m. The correct answer is A.
The resistance of a spool of copper wire can be calculated using the formula:
R = pL/A
where R is the resistance, p is the resistivity, L is the length of wire, and A is the cross-sectional area of wire.
In this case, we are given the resistivity (p), the length of the wire (L), and the radius of the wire (r). We can use the formula for the area of a circle to find the cross-sectional area of the wire:
A = πr²
A = π(1.04 x 10⁻³ m)²
A = 3.39 x 10⁻⁶ m²
Now we can plug in the values into the formula for resistance:
R = (1.68 x 10⁻⁸ o-m)(20.0 m)/(3.39 x 10⁻⁶ m²)
R = 9.89 x 10⁻² o-m
Therefore, the correct answer is A. 9.89 x 10⁻².
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A basketball player is running at 4. 60 m/s directly toward the basket when he jumps into the air to dunk the ball. He maintains his horizontal velocity. (for each answer, enter a number. )
A basketball player running at 4.60 m/s directly towards the basket jumps into the air to dunk the ball while maintaining his horizontal velocity.
When the basketball player jumps into the air, he experiences a parabolic trajectory due to the effects of gravity. However, since he maintains his horizontal velocity, his horizontal motion remains unaffected throughout the jump.
The vertical motion of the player can be analyzed using the equations of motion under constant acceleration. The initial vertical velocity is zero, and the acceleration due to gravity is approximately 9.8 m/s². Using these values, we can calculate various parameters of the player's jump.
For instance, the time it takes for the player to reach the peak of his jump can be found using the equation v = u + at, where v is the final vertical velocity (which is zero at the peak), u is the initial vertical velocity, a is the acceleration due to gravity, and t is the time.
The maximum height reached by the player can be determined using the equation h = ut + 0.5at², where h is the height, u is the initial vertical velocity, a is the acceleration due to gravity, and t is the time.
Since the player maintains his horizontal velocity throughout the jump, his horizontal displacement remains the same, which depends on the initial horizontal velocity and the time of flight.
By solving these equations, we can obtain the specific values for the time of flight, maximum height reached, and horizontal displacement of the player during his jump.
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A 750 kg car moving at 25 m/s has Kinetic Energy. To stop the car requires work. On snowy roads, the force of friction that can
stop a car reduces to only about 725 N.
a. How much work must be done to stop the car? (Hint: What is the car's kinetic energy?)
b. How far will the car travel before stopping if the only force stopping it is friction between the tires and the road?
a. By the work-energy theorem, the total work required to stop the car is equal to the change in its kinetic energy,
W = 0 - 1/2 (750 kg) (25 m/s)² ≈ -230 kJ
b. The car covers a distance x as it stops such that
W = (-725 N) x ==> x ≈ 320 m
What is the maximum height to which a motor
having a power rating of 20. 4 watts can lift a
5. 00-kilogram stone vertically in 10. 0 seconds?
(1) 0. 0416 m (3) 4. 16 m
(2) 0. 408 m (4) 40. 8 m
The maximum height to which the motor can lift the 5.00-kilogram stone vertically in 10.0 seconds is approximately 4.16 meters. The correct option is 3
How to determine the maximum height to which the motor can lift the stone verticallyWe can use the equation for work done:
Work = Force * Distance
In this instance, the motor's work is equal to the change in the stone's potential energy as it is raised vertically. Potential energy is calculated as follows:
Mass times gravitational acceleration times height equals potential energy.
Given the stone's mass of 5.00 kg, the gravitational acceleration of about 9.8 m/s2, and the lifting time of 10.0 seconds, we may get the potential energy as follows:
Potential Energy = Mass * Gravitational Acceleration * Height
We can convert the work performed to potential energy and solve for height since the motor's power rating of 20.4 watts is equal to the amount of work completed in one unit of time.
Power = Time / Work
Energy Potential x Time equals Power
Potential Energy: Height = (Power * Time) / (Mass * Gravitational Acceleration) Mass * Gravitational Acceleration: Height = (Power * Time)
Substituting the given values:
Height = (20.4 W * 10.0 s) / (5.00 kg * 9.8 m/s²)
Height ≈ 4.16 m
Therefore, the maximum height to which the motor can lift the 5.00-kilogram stone vertically in 10.0 seconds is approximately 4.16 meters.
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Which of the following is defined as a force that pushes and pulls the current through the circuit? Group of answer choices D) resistance B) electricity A) current C) voltage
Answer:
C voltage
Explanation:
Voltage is the change in electric potential so basically current flows from high potential to low potential due to voltage.
ALWAYS use significant figure rules. Remember that these rules apply to all numbers that are measurements. City B is south of City A, and the 200 mile trip by car takes 4 hours. The cities are 120 miles apart in a straight line. What is the velocity of a trip from City A to City B?
The velocity of a trip from City A to City B is 30 miles per hour.
What is velocity?The term velocity is defined as the ratio of displacement to time. Displacement refers to the distance that is covered in a specified direction.
Now given that the straight line distance from A to B is about 120 miles. hen it follows that the velocity of a trip from City A to City B is obtained from; 120 miles/ 4 hours = 30 miles per hour.
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What steps are always part of both the process of technological design and the process of scientific investigation?
Check all that apply.
building a prototype
conducting tests or trials
analyzing results
determining affordability and availability researching related information
Here, we are asked to identify steps which are common to both the process of technological design and the process of scientific investigation.
1. Researching related information
2. Determining affordability and availability.
3. Building a prototype.
4. Conducting tests or trials.
5. Analyzing results.
The list above is orderly.
The first iteration involves researching related information about the technological design or scientific investigation as the case may be. This is the first step after the idea-birth process.
The second iteration involves Determining the affordability and availability of the initiative. It is at this point that the process requires conducting a feasibility study.
Also, a prototype is needed because, a large scale effort cannot be wasted without first trying on a small scale and analyzing results obtained from the tests conducted.
Conducting tests or trials is next on the list as the prototype needs to be tested and the results analyzed accordingly.
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Answer:
Here, we are asked to identify steps which are common to both the process of technological design and the process of scientific investigation.
1. Researching related information
2. Determining affordability and availability.
3. Building a prototype.
4. Conducting tests or trials.
5. Analyzing results.
The list above is orderly.
The first iteration involves researching related information about the technological design or scientific investigation as the case may be. This is the first step after the idea-birth process.
The second iteration involves Determining the affordability and availability of the initiative. It is at this point that the process requires conducting a feasibility study.
Also, a prototype is needed because, a large scale effort cannot be wasted without first trying on a small scale and analyzing results obtained from the tests conducted.
Conducting tests or trials is next on the list as the prototype needs to be tested and the results analyzed accordingly.
three cubes of equal mass are composed of gold (density = 19.32 g/cm3 ), platinum (density = 21.45 g/cm3 ), and lead (density = 11.35 g/cm3 ). list the cubes from largest to smallest volume.
Explanation:
volume = mass / density
so for a given mass, m,
the volumes are
gold = m/19.32
platinum = m/21.45
lead = m/11.35
You should be able to the see the volumes from largest to smallest would be lead gold platinum
Which of the following statements about mechanical energy is NOT true?
O Gravitational potential energy is a type of mechanical energy.
Kinetic energy is a type of mechanical energy.
O Mechanical energy is the energy an object possesses due to its motion or its position.
O A bungee cord is not an example of mechanical energy.
Match the following. Column A 1. Torque 2. Centre of gravity 3. Plumb line Column B A. Line of centre of gravity B. Maximum constant velocity C. Not in motion D. Point of action of weight E. Turning effect of force F. Study of forces 4. Terminal velocity 5. Statics
Answer:
1. Torque → F. Study of forces
2. C.O.G → D. Point of action of weight.
3. Plumb line → A. Line of C.O.G
Two charged balloons, one black and one red, are separated by some distance r. The black balloon has 5 times the charge of the red balloon The black balloon exerts a force of F black-red on the red balloon, and the red balloon exerts a force of F red-black on the black balloon. How does the magnitude of F black-red compare to F red-black?
The magnitude of F black-red compared to F red-black 5 times greater.
Gravitational force problemThe force exerted between two charged objects is given by Coulomb's law:
F = k * (q1 * q2) / r^2
where F is the force, k is Coulomb's constant, q1 and q2 are the charges of the two objects, and r is the distance between them.Let's denote the charge on the red balloon as q_red and the charge on the black balloon as q_black. Since the black balloon has 5 times the charge of the red balloon, we can write:
q_black = 5 * q_red
Now let's consider the force exerted by the black balloon on the red balloon. According to Coulomb's law, this force is given by:
F_black-red = k * (q_black * q_red) / r^2
Substituting q_black = 5 * q_red, we get:
F_black-red = k * (5 * q_red * q_red) / r^2
Simplifying this expression, we get:
F_black-red = 5 * (k * q_red^2) / r^2
Similarly, the force exerted by the red balloon on the black balloon is given by:
F_red-black = k * (q_red * q_black) / r^2
Substituting q_black = 5 * q_red, we get:
F_red-black = k * (q_red * 5 * q_red) / r^2
Simplifying this expression, we get:
F_red-black = 5 * (k * q_red^2) / r^2
Comparing the two expressions, we can see that:
F_black-red = 5 * F_red-black
Therefore, the magnitude of the force exerted by the black balloon on the red balloon is 5 times greater than the magnitude of the force exerted by the red balloon on the black balloon.
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A car journey of 214 miles took Jack a total 7 hours and 15 minutes to complete what was his average speed across the journey?
How do I figure out what number the prize wheel will land on?
The prize wheel will land on either 20 or 19 or 18 with angular displacement θ = 36.05 of spinning the prize feel.
From the given,
Initially, the prize feel is at 19.
The wheel is spinning with the energy (KE) = 9.93 J
The angular acceleration of the wheel = -1.900 rad/s²
The density of the wood (ρ) = 528 kg/m³
The thickness of the wood (t) = 40 mm = 0.04 m
The radius of the wood (r) = 31 cm = 0.31 m
angular displacement (θ) =?
To find angular displacement, angular velocity (ω) can be determined from the given.
The Inertia of the wheel,
I = mr² / 2, m is mass and r is the radius of the circle.
m = ρ×V, ρ is the density of the wheel
V is the volume, V = πr²d
Inertia (I) = mr² / 2
= ρ(πr²d) r² / 2
= (528×π×(0.31)⁴×(0.04)) / 2
Inertia (I) = 0.3062
K.E = 1/2 (Iω²)
9.93 = 1/2 (0.3062×ω²)
ω² = 9.93 / 0.1531
ω = √64.85
= 8.05
The angular velocity, ω = 8.05 rad/s
To find the angular displacement (θ)
θ =θο + ωοt + (1/2(αt))
To find time, t
ω = ωο + αt
t = ω-ωο / α (final angular velocity ω= 0)
= -8.05 / (-1.9)
= 4.237s
time taken to spin the wheel, t = 4.237 s
θ =θο + ωοt + (1/2(αt))
= 19 + (8.05 × 4.237) + (1/2 (-1.9×(4.236)²)
= 19 + 34.10 - 17.05
θ = 36.05
The angular displacement of the wheen θ= 36.05 radians before the wheel coming to stop.
To find the number(n) in which the wheel stops, the number of degrees per number on the wheel is to be identified. The wheel has 36 numbers and each number has 10 degrees.
The angular displacement θ = 36.05 radians is equivalent to 2065.5 degrees. Dividing by 10. we get 206.5, which means the wheel is stopped between either 20 or 18, or 19.
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Quantum Physics
Please answer correctly and step-by-step. Thank
you...
a )The electron of a hydrogen atom is in an eigenvalue of energy with quantum numbers n = 4,1 = 1, m = 1. List the eigenstates of the electron energy (n', l', m') to which the electron can spontaneous
Quantum physics is a branch of physics that focuses on the very small scale of matter, such as atoms and subatomic particles.
It is a fundamental field of study that aims to understand the behavior of these particles and the underlying principles that govern them.
The hydrogen atom consists of an electron that orbits around a positively charged nucleus. The electron's energy is quantized, meaning that it can only exist at certain energy levels that are determined by its quantum numbers.
The three quantum numbers that describe the electron's state are n, l, and m, which stand for the principal quantum number, the azimuthal quantum number, and the magnetic quantum number, respectively.
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A shopper in a supermarket takes a box of sugar from a shelf that is 1.5 m high because he is going to bake some muffins. He also needs to get some blueberries. The sugar has a weight of 5N. What Potential Energy did the sugar have before it was taken from the shelf?Potential Energy = Weight x HeightWeight = Potential Energy / HeightHeight = Potential Energy / WeightWeight = Mass x 10Mass = Weight / 10
In order to calculate the potential energy of an object, we can use the formula below:
\(PE=m\cdot g\cdot h\)Where PE is the potential energy (in Joules), m is the mass (in kg), g is the gravity acceleration (in m/s²) and h is the height (in meters).
Since mass times gravity is equal to the weight force, we can also write the formula as follows:
\(W=m\cdot g\)Where W is the weight force (in Newtons).
So the formula will be:
\(PE=W\cdot h\)Potential Energy = Weight x Height
Since the height is equal to 1.5 meters and the weight force is equal to 5 N, we have:
\(\begin{gathered} PE=5\cdot1.5 \\ PE=7.5\text{ J} \end{gathered}\)The potential energy is 7.5 Joules.
A bullet is fired from a rifle with an initial velocity of 300 m/s at an angle of 25 degrees from the horizontal.
1. Calculate the horizontal and vertical components of the velocity
2. Calculate the time spent in the air
3. Calculate the maximum height
4. Calculate the horizontal distance
Answer:
1. The horizontal component of the velocity is approximately 271.89 m/s
The vertical component of the velocity is approximately 126.79 m/s
2. The time the bullet spends in the air is approximately 25.85 seconds
3. The maximum height reached by the bullet is approximately 819.35 meters
4. The horizontal distance is approximately 7028.36 meters
Explanation:
The initial velocity of the bullet = 300 m/s
The angle at which the bullet was fired, θ = 25° from the horizontal
1. The horizontal component of the velocity vₓ = The component of the velocity in the x-direction
vₓ = v × cos(θ)
Substituting gives;
vₓ = 300 × cos(25°) ≈ 271.89 m/s
The vertical component of the velocity \(u_y\) = The component of the velocity in the y-direction
\(v_y\) = v × sin(θ)
Substituting gives;
\(u_y\) = 300 × sin(25°) ≈ 126.79 m/s
2. The time the bullet takes to maximum height, t = 1/2 × The time the bullet spends in the air
The following is the relevant kinematic equation for the vertical motion of the bullet;
v = u - g × t
Where;
\(v_y\) = The final velocity vertical velocity = (0 at maximum height)
\(u_y\) = The initial vertical velocity ≈ 126.79 m/s
g = The acceleration due to gravity = 9.81 m/s²
t = The time in flight of the bullet
Substituting gives;
0 = 126.79 - 9.81 × t
t ≈ 126.79/9.81 ≈ 12.924 s
The time the bullet spends in the air = 2 × The time the bullet takes to maximum height
∴ The time the bullet spends in the air ≈ 2 × 12.924 ≈ 25.85
The time the bullet spends in the air ≈ 25.85 seconds
3. The maximum height reached is given from the following kinematic equation;
\(u_y\)² = 2 × g × h
Where;
h = The maximum height reached by the bullet
∴ h = \(u_y\)²/(2 × g)
h = 126.79²/(2 × 9.81) = 819.35
The maximum height reached by the bullet = h = 819.35 meters
4. The horizontal distance travelled by the bullet = Horizontal component of the velocity of the bullet × The time the bullet spends in the air
∴ The horizontal distance travelled by the bullet = 271.89 × 25.85 ≈ 7028.36
The horizontal distance travelled by the bullet ≈ 7028.36 meters.
+20 POINTS WILL GIVE BRANLIEST IF GOOD!!!!!HI EVERYONE!! PLS HELP!! Describe three machines that humans have designed and explain how the mechanical advantage is used.
Answer:
The medical Univision it helped the sick. The Xperia Logitech helped the prople that have no arms.Explanation:
A weightlifter lifts a set of weights a vertical distance of 2.0 m. If a constant net force of 350 N is exerted on the weights, what is the net work done on the weights?
Answer:
700 Joules
Explanation:
The work done equals force times distance. Just multiply your two values there.
Side note: It would be more impressive if he'd done it in 1 second rather than 5. You know why? Because POWER=WORK/TIME. The less time it takes him to lift the weight with the same force and distance, the more powerful he is!
Salinity measures the amount of salts dissolved in water. Which statement correctly explains what happens whenaquatic animals are moved to an aquatic ecosystem with a different salinity?
The individual effect of salinity reduced organism performance in 43% of the observations, including decreased survival and growth, increased osmolyte content in bodily fluids, altered metabolic rates, etc.
What effects does salinity have on aquatic life?Estuarine water's salinity varies from one estuary to the next and can alter day to day based on the tides, weather, and other variables. Estuaries are transitional regions that connect land and water, as well as habitats for both freshwater and saltwater species.Ocean water density can be impacted by salinity: Water with a higher salinity is denser, heavier, and will sink beneath less salinized, warmer water. Ocean currents may be impacted by this. It may also have an impact on marine life, which may need to control how much saltwater it consumes.It makes a significant contribution to conductivity and influences many aspects of the chemistry of natural waters as well as the biological activities that take place there. Temperature, pressure, and salinity all influence the physical properties of water, including its density and heat capacity.To learn more about aquatic ecosystem with a different salinity refer to:
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If a fisherman applies a horizontal force with magnitude 52.0 N to the box and produces an acceleration of magnitude 3.30 m/s2 , what is the mass of the box
If a fisherman applies a horizontal force with magnitude 52.0 N to the box and produces an acceleration of magnitude 3.30 m/s2 , the mass of the box is approximately 15.76 kg.
To determine the mass of the box, we can use Newton's second law of motion, which states that the force acting on an object is equal to the mass of the object multiplied by its acceleration. The equation is:
F = m × a
Where:
F is the applied force
m is the mass of the object
a is the acceleration
In this case, the fisherman applies a horizontal force of magnitude 52.0 N, and the box has an acceleration of magnitude 3.30 m/s².
Plugging the values into the equation, we have:
52.0 N = m × 3.30 m/s²
To isolate the mass (m), we divide both sides of the equation by 3.30 m/s²:
m = 52.0 N / 3.30 m/s²
m ≈ 15.76 kg
Therefore, the mass of the box is approximately 15.76 kg.
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