We will ahve the following:
a)
[tex]\begin{gathered} E=mgh \\ \\ \Rightarrow E=(70.0kg)(9.8m/s^2)(11.0m)\Rightarrow E=7546J \end{gathered}[/tex]So, the total energy will be 7546 J.
b) The total energy halfway must also be the same, but half of it will be kinetic energy and half potential energy.
c) The total energy at the bottom must be the same, but this time it will be all kinetic energy.
Give 5 example of a factual statement and five example of an opinion
A student is investigating the specific heat capacity of a block of iron. Their method is to heat up the insulated block of iron using an electric heater and measure its temperature using a digital thermometer at regular intervals. The block will be heated up from room temperature to 80
°C. What is the independent variable in this experiment?
• The increase in temperature of the block of iron
• The mass of the block of iron
The time the block of iron takes to reach 80 °C
The energy supplied to the block of iron by the electric heater
As we carry out the experiment, the independent variable here is the he increase in temperature of the block of iron.
What is an experiment?In many instances, it is very important for us to be able to understand the cause and effect relationship that is likely to exists between two variables. The only way that we could be able to in fact deduce the cause and effect relationship that does exist when we have two variables is by the use of an experiment.
Hence, when ever we are doing an experiment there must be an independent variable as well as well as a dependent variable. The variable that we are manipulating in the experiment is the independent variable. The dependent variable changes as we manipulate the independent variable.
As such, in the case of this experiment, the independent variable here is the increase in temperature of the block of iron.
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a 5.5 kg box is pushed across the lunch table. The net force applied to the box is 9.7N. what is the acceleration of the box.
Answer:
1.8 m / s^2
Explanation:
F = ma ( ignoring friction)
F/ m = a
9.7 / 5.5 = 1.8 m/s^2
A pipe of length 10.0 m increases in length by 1.5 cm when its temperature is increased by 90°F. What is its coefficient of linear expansion?
The coefficient of linear expansion, given that the length of the pipe increased by 1.5 cm is 1.67×10¯⁵ /°F
How to determine the coefficient of linear expansionFrom the question given above, the following data were obtained
Original diameter (L₁) = 10 mChange in length (∆L) = 1.5 cm = 1.5 / 100 = 0.015 mChange in temperature (∆T) = 90 °FCoefficient of linear expansion (α) =?The coefficient of linear expansion can be obtained as illustrated below:
α = ∆L / L₁∆T
α = 0.015 / (10 × 90)
α = 0.015 / 900
α = 1.67×10¯⁵ /°F
Thus, we can conclude that the coefficient of linear expansion is 1.67×10¯⁵ /°F
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Which is the following is an example of oxidation reaction??
Answer: Rusting
rust is an oxidation reaction only when iron reacts with water and oxygen.
Rusting is referred to as a example of oxidation reaction in this type of context.
What is Oxidation?This is a type of chemical change which involves the loss of electrons and contact with oxygen molecules. When this occurs, the element becomes oxidized with the symbol O which is being used to denote it. The main factor which is considered about the oxidation process is the availability of oxygen.
Rusting on the other hand is referred to as iron oxide which occurs during the reaction between iron and oxygen and the color changes into reddish brown which signifies this process.
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An impulse of 24 Ns acts on a baseball from a bat. What is the force applied to the ball from bat if the ball is in contact with the ball for only 0.0007s.
The force applied to the ball from bat if the ball is in contact with the ball for only 0.0007 s is 34.29 KN
J = F * t
J = Impulse
F = Force
t = Time
J = 24 N s
t = 0.0007 s
F = J / t
F = 24 / 0.0007
F = 34.29 KN
Impulse is the rate of change of momentum in an object. It can simply be defined as force acting on an object over a period of time to change the object's momentum. So,
J = Δp = F Δt
Therefore, the force applied to the ball from bat is 34.29 KN
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please, I need help with this question.
A ball is kicked from the origin at an angle θ = 30 with an initial speed of V = 20 m/s m /s. Calculate the x and y components of the velocity vector v⃗.
Thanks
The x and y components of the velocity vector is 17.32 m/s and 10 m/s respectively.
What is the x - component of the velocity?
The x-component of the ball's velocity is the velocity of the ball in the horizontal direction or x-axis.
The velocity of the ball in x-direction is calculated as follows;
Vx = V cosθ
where;
Vx is the horizontal velocity of the ballV is the speed of the ballθ is the angle of inclination of the speedVx = (20 m/s) x (cos 30)
Vx = 17.32 m/s
The velocity of the ball in y-direction is calculated as follows;
Vy = V sinθ
where;
Vy is the vertical velocity of the ballV is the speed of the ballθ is the angle of inclination of the speedVy = 20 m/s x sin(30)
Vy = 10 m/s
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the bus stops at distance of 25 metres, calculate the force that was needed to stop the bus in N
The force that was needed to stop the bus of mass 5000 kg that stops after 25 m in 5 s is 5000 N.
a = v / t
v = d / t
a = Acceleration
v = Velocity
d = Distance
t = Time
d = 25 m
t = 5 s
v = 25 / 5
v = 5 m / s
a = 5 / 5
a = 1 m / s²
According to Newton's second law of motion,
F = m a
F = Force
m = Mass
m = 5000 kg
F = 5000 * 1
F = 5000 N
The given question is incomplete. The complete question is:
A bus of mass 5000 kg applies brake and stops after 5 seconds and the bus stops at distance of 25 meters, calculate the force that was needed to stop the bus in N
Therefore, the force that was needed to stop the bus is 5000 N
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A car slams into a brick wall, with an impulse of 10Ns, the duration of the impulse was 0.2 sec. What was the average force the car hit the wall?
Answer:
50 N
Explanation:
The change in momentum in this case can be calculated in this way
Impulse (Ns) = force (N) X time (s)
We have Impulse and time here:
10Ns= force X 0.2s
We rearrange the formula to get force
10 ÷ 0.2 = 50
Therefore average force is 50N
What is the magnitude of the magnetic force experience by a cable that is 3 cm long, going trough a magnetic field 44 x10-3 T strong, with a current of 2 A that is perpendicular to the field
The equation describes the force acting on a wire carrying current I and having length L in a magnetic field. Where is the angle formed by the wire and the magnetic field, and F=ILB sin x.
magnitude of the magnetic force experience
by a cable is 2.64 x 10 ^ -3 N
What is the formula of magnitude of magnetic force?The equation describes the force acting on a wire carrying current I and having length L in a magnetic field. Where is the angle formed by the wire and the magnetic field, and F=ILB sin x. The field and current are parallel to the force.The current's size has a direct correlation with the field's strength. The strength of the field is inversely proportional to the point's separation from the wire at any given time.When a current-carrying conductor is placed in a magnetic field, the force it experiences is at its strongest when the conductor is kept perpendicular to the magnetic field's direction.F = ILB sin x
= 2 x .03 x 44 x 10^ -3 x sin 90 = 2.64 x 10 ^ -3 N
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Three point charges -Q, -Q, and +3Q are arranged along a line as shown in the sketch.
What is the electric potential at the point P?
A) +kQ/R
B) -2kQ/R
C) -1.6kQ/R
D) +1.6kQ/R
E) +4.4kQ/R
(D) The electric potential at the point P is +1.6 kQ/R.
What is electric potential?
The electric potential of a given charged body is the work done in bringing the charge from a point to a given location in the electric field.
Mathematically, electric potential is given as;
V = kq/r
where;
k is Coulomb's constantq is magnitude of the charger is radius of the chargeThe distance of each of the negative charge to point P is calculated as follows;
r = √(R² + R²)
r = √(2R²)
r = R√2
The electric potential from each negative charge to point P;
V = -kQ/(R√2)
For the two charges = - 2kQ/(R√2)
The electric potential from 3Q
V = (k3Q) / R
V = (3kQ)/R
The total electric potential;
V(net) = (3kQ)/R - 2kQ/(R√2)
V(net) = (3kQ)/R - (1.414kQ)/R
V(net) = +1.6 kQ/R
Thus, we can conclude that the sum of the sum of the electric potential at point must be positive since it is directed to the positive y-direction.
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Sweet Cravings Bakery was interested in seeing if there was an association between cake flavor and frosting flavor. Given are the results of the survey in a relative frequency table.
Vanilla Chocolate Total
Vanilla Buttercream 0.15
Cream Cheese Icing 0.14 0.33
Cookie Butter Buttercream 0.20
Total 0.60 1.00
Which category has the lowest joint relative frequency?
Cupcakes with vanilla buttercream
Cupcakes that are chocolate
Chocolate cupcakes with vanilla buttercream
Vanilla cupcakes with vanilla buttercream
The category with the lowest joint relative frequency is Chocolate cupcakes with vanilla buttercream.
Relative frequency = Subgroup frequency / Total frequency
Some of the relative frequencies are given. From that we can find the remaining frequencies using basic addition and subtraction.
Vanilla Chocolate Total
Vanilla Buttercream 0.15 0.06 0.21
Cream Cheese Icing 0.19 0.14 0.33
Cookie Butter Buttercream 0.26 0.20 0.46
Total 0.60 0.40 1.00
Joint relative frequency = Joint frequency / Total frequency
The joint relative frequency of
Cupcakes with vanilla buttercream = 0.21Cupcakes that are chocolate = 0.40 Chocolate cupcakes with vanilla buttercream = 0.06Vanilla cupcakes with vanilla buttercream = 0.15Therefore, the category with the lowest joint relative frequency is Chocolate cupcakes with vanilla buttercream.
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(PLEASE ANSWER) Which of the following conditions would result in the greatest amount of gravitational force between a planet and it's moon? Select THREE answers.
A. The mass of the planet is small.
B. The mass of the moon is small.
C. The distance separating the planet and moon is small.
D. The mass of the planet is large.
E. The mass of the moon is large.
F. The distance separating the planet and moon is large.
Answer:
[tex] \small \fbox{\sf Option C, D and E are the correct answer.}[/tex]
Explanation:
The gravitational force of attraction between any two masses is given by the formula,
[tex]F = G \frac{m_1 \cdot m_2}{r^2}[/tex]
Where,
F is force of attraction between masses,m1 is mass of object 1 say planet, m2 is mass of object 2 say moon,r is the distance separating the planet and moon.From above relation we can conclude that,
Gravitational force of attraction is directly proportional to the product of masses of each object.Gravitational force of attraction is inversely proportional to the distance separating the planet and moon.Hence, the greatest amount of gravitational force between a planet and it's moon would be largest when,
The mass of the planet is large.The mass of the moon is large.The distance separating the planet and moon is small.Option C, D and E are the correct answer.
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The question is in the photo
Given:
car is parked ouphill on a sloped street.
To draw the free body diagram.
Explanation:
he ffree-bodydiagram of the car is shown below.
Here, W is the force due to gravity which is its weight.
There is a frictional force, f acting towards the slope.
N is the normal force.
The car will remain at rest if no force is acting on the body.
The weight can be resolved into sine and cosine components.
The horizontal component of weight cancels out the normal force and the vertical component of weight cancels the frictional force.
Thus, the car is at rest as no net force is acting on it.
TRUE or FALSE: The Equator receives less solar energy than other latitudes.
Answer: False
Explanation: the equator receives the most sun light because the the equator is closest to the sun.
Cindy runs 2 km every morning. She takes 2 minutes for the first 250 m, 4 minutes for the next 1,000 m, 1 min for the next 350 m, and 3 min for the rest.
Cindy's average speed for the entire run is ______ m per min. One km is the same as 1,000 m.
Hint: average speed = total distance/total time
Cindy's average speed for the entire run is 200 m per min.
What is Cindy's average speed for the entire run?
First, to measure Cindy's average speed, we need to know that the average speed of Cindy would be the total distance she had covered while running by the total amount of time it took her to cover the distance. So, we need to measure her average rate of speed over the extent of her runs.
In order to calculate average speed we will calculate the total distance in meters traveled by Cindy.
Given:
Total distance = 2 Km
Convert km to meter, since she is running at a different speed measured in meter.
1 km = 1,000 m
Total distance = 2 Km = 2000 m
Then, the total amount of time in minutes it took her to cover this distance is: 2 (for the first 250 m) + 4 (for the next 1,000 m) + 1 (next 350 m) + 3 (time used for rest) = 10 minutes
Average speed = total distance / total time
Average speed = 2000 m / 10 minutes
Therefore, her average speed = 200 m per min
In summary, Cindy, though rested for 3 minutes, maintained an average speed of about 200 m per min for the entire run.
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Two friends challenge each other to a race up a flight of stairs (h=4.0m) Joe, who has a mass of 150kg, makes the climb in 8.0s while mike, 120kg took 5.0s to make the climb. Use g=10m/s^2
A.) Explain why joe did more work than mike.
B.) Explain why mike was more powerful than joe.
PLEASE HELP!!!
Answer:A
Explanation: i think
A lump of lead with mass 0.50 kg is dropped from a height of 20 m onto a hard surface. It does not rebound but remains there at rest for a long period of time.
what are:
a)∆Q,(b)∆W and (c)∆U for the lead during this process?
d) What is the temperature change in the lead immediately aer the impact? [specific heat capacity of lead = 128 kJ/kg K]
The temperature change in the lead immediately ∆T=1.56 K.
Temperature is a physical amount that expresses the hotness of a count number or radiation. There are 3 sorts of the temperature scale.
Temperature is a measure of the common kinetic power of the particles in an item. when the temperature will increase, the motion of the debris also increases. Temperature is measured with a thermometer or a calorimeter.
Temperature is a degree of the common kinetic strength of the particles of a substance. The higher the temperature of an item, the better its kinetic strength. Kinetic electricity is a form of electricity related to movement.
a. ΔQ=mgh
ΔQ=0.5×9.80×20
ΔQ=98 J.
⇒∆U= ∆Q
⇒∆W=0
d. The temperature change is ∆T=1.56 K
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Which trial has the greatest impulse?
trial 1
trial 2
trial 3
trial 4
A motorcyclist is traveling in the positive direction at a
velocity of 7.0 meters per second. She increases her
velocity to 9.0 meters per second. What additional
information is needed to calculate the acceleration of
the motorcycle?
The additional information needed to calculate the acceleration of the motorcycle is the time taken to complete the distance.
What is acceleration?Acceleration is the amount by which a speed or velocity increases (and so a scalar quantity or a vector quantity).
The acceleration of a moving body can be calculated by dividing the change in velocity of the motion (∆V) by the time taken to complete the motion as follows:
Acceleration (m/s²) = change in velocity (m/s)/time(s)
According to this question, a motorcyclist is traveling in the positive direction at a velocity of 7.0 meters per second. She then increases her velocity to 9.0 meters per second. This means that the change in velocity {∆V} is 2m/s.
However, the time taken to complete the distance is still required to compute the acceleration of the motorcycle.
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A rabbit is moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to a velocity of 12.1 m/s along the positive y-axis, all in 2.20 s. Determine the x-component and the y-component of the rabbit's acceleration. (Enter your answers in m/s2. Indicate the direction with the signs of your answers.)
Acceleration of the rabbit, moving in the positive x-direction at 1.50 m/s when it spots a predator and accelerates to a velocity of 12.1 m/s along the positive y-axis, all in 2.20 s is given by in x direction 0 m/sec² in y direction is 5.50 m/sec².
What is acceleration?The rate at which the speed and direction of a moving object vary over time. A point or object going straight ahead is accelerated when it accelerates or decelerates. Even if the speed is constant, motion on a circle accelerates because the direction is always shifting.
Given in the question rabbit is initially moving with speed 1.50 m/sec in x direction after rabbit spot predator start accelerating in y direction to velocity 12.1 m/sec in 2.20 m. so acceleration in x direction will be zero.
Acceleration in y direction is 5.50 m/sec².
Acceleration in x direction will be zero.
Acceleration in y direction is 5.50 m/sec².
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The Hubble Space Telescope has a resolution of about 0.05″. What is the size of the smallest feature it can distinguish on the surface of Mercury, at closest approach to Earth?
If the Hubble Space Telescope has a resolution of about 0.05, then the size of the smallest feature it can distinguish on the surface of Mercury, at closest approach to Earth is 92 m.
What is the earth?
The Earth is described as an ellipsoid with a circumference of about 40,000 km. The earth found is the densest planet in the Solar System and it is also the largest of the four rocky planets.
The Hubble Space Telescope is a space telescope that was launched into low Earth orbit in 1990 and remains in operation. It was not the first space telescope, but it is one of the largest and most versatile, renowned both as a vital research tool and as a public relations boon for astronomy.
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Match each phase change description with the correct term.A change from solid to gasA change from liquid to gasA change from gas to liquidA change from solid to liquid?Melting?Sublimation?Condensation
By definition we have that:
Melting: A change from solid to liquid
Sublimation: A change from solid to gas
Condensation: A change from gas to liquid.
Vaporization: A change from liquid to gas
When someone throws a ball, the action force is the person pushing on the ball. What is the reaction force?
the ball pushing on the person
the ball pushing against air
the ball being pulled toward the ground
the ball being pulled away from the person
Answer:
the ball being pulled toward the ground
Explanation:
12. Which of the following is not a property
of metals?
13. Which of the following correctly lists
the elements in order of increasing size
(smallest to largest)?
[orange]
conduct electricity
[yellow]
Sr
[blue]
[red]
brittle
[green]
Ca
[black]
[yellow]
shiny
[purple]
Be
[purple]
Be [purple], Ca [black] and Sr [blue] are the elements in order of increasing size.
Brittle is not the property of metals.
Why brittle is not the property of metals?The strong electrostatic force of attraction that is present in metal ions when they are surrounded by a large number of electrons. It is actually very strong and flexible at the same time. So, when we apply a force on the metals, they can be transformed into flat and smooth sheets that can be drawn into wires and they are hard to break into pieces.
Beryllium is an element that is present in the second period while on the other hand, calcium element is present in the next period and Sr element is also present in the lower period of periodic table. We know that when we move down the group, the number of shells increases which ultimately leads to increase in atomic size.
So we can conclude that the elements in order of increasing size are Be [purple], Ca [black] and Sr [blue]. The property which is not present in metals is the property of metals.
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Which has the greatest mass between a Volleyball,Basketball and Soccer ball?
A: Small rockets are used to make tiny corrections to the velocity of a satellite. If a rocket has a thrust of 35 N and is used to change the velocity of a 72000 kg satellite by 0.63 m/s, for how long (time) should it be fired?
B: A 2-kg pumpkin flies through the air at 42 m/s (93mph)! It strikes a 500kg Volkswagen Bug that has been abandoned in a corn field for quite some time. The pumpkin bounces off the car and has a final velocity of -2.68 m/s (-6.0 mph). What is the final velocity of the car?
The small rocket will be take time 1296 sec.
We are given that,
The thrust of the rocket = F = 35N
The velocity of the rocket = v = 0.63m/s
The mass of the satellite = m = 72000kg
Therefore , to get time t of the rocket when it would be fired and we use the equation such as , the product of the mass and velocity of an object i.e. known as momentum (p).
p = mv
Where p is the momentum of the rocket, m is the mass and v is the velocity of the rocket.
Since , here we can write Newtonian relations such as, Momentum is equivalence as a function of Force (F) and time (t) which is given as,
p = F t
So that from above two equation we can write as,
mv = Ft
t = mv/F
t = {(72000kg) ×(0.63m/s)}/35N
t = 1296 sec
Therefore, the rocket will be fired in 1296 seconds.
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An electrical vacuum tube was sealed off during manufacturing at a pressure of 1.2 *10^7 mmhg at 27degree Celsius and volume of 100cm what is the pressure of the tube and how mana gas of molecule remain in the tube
3.86×10^11 molecules of gas remain in the tube
P = nkT
n = P/kT
= hdg/kT
Number of molecules in the electron tube is = n×V = hdgV/kT
⟹n = hdg/kT
=
1.2×10^−10 ×13600 × 9.8 × 100 × 10^−6/1.38×10^−23 × 300
= 3.86×10^11
difference between weight and mass.
please be honest. don't answer if you don't know
Weight is the gravitational force with which the earth pulls an object towards it whereas, Mass is a quantity representing the amount of matter in a particle or object.
hope this helps and you need a chair for sitting xD -,-
State four factors that affect capacitance of capacitor
Dependence:
-Area
-Separation
-Medium
Independent from:
-Charge
-Electric potential
-Metal