Answer:
The roof of the house is 8.67 m high
Explanation:
Horizontal Motion
When an object is thrown horizontally with a speed v from a height h, the range or maximum horizontal distance traveled by the object can be calculated as follows:
[tex]\displaystyle d=v\cdot\sqrt{\frac {2h}{g}}[/tex]
The boy is on the roof of his house and throws a rock horizontally at v=11.5 m/s. It lands on the ground d=15.3 m from the base of the house. We can use the above equation to find the height of the roof by solving it by h:
[tex]\displaystyle h=\frac{gd^2}{2v^2}[/tex]
Substituting values:
[tex]\displaystyle h=\frac{9.8\cdot 15.3^2}{2\cdot 11.5^2}[/tex]
h=8.67 m
The roof of the house is 8.67 m high
A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i + 32 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 6 ft/s2, so the acceleration vector is a = −6 j − 32 k. Where does the ball land? (Round your answers to one decimal place.) ft from the origin at an angle of ° from the eastern direction toward the south. With what speed does the ball hit the ground? (Round your answer to one decimal place.) ft/s
Answer:
The answer is "52.61 ft/s"
Explanation:
Taking the motion in the z-direction is [tex]u_z = 32 , \ \ a_z = - 32[/tex]
[tex]t = 2 \frac{u_z}{( - a_z )}\\\\[/tex]
[tex]= 2 \times \frac{32}{32}\\\\ = 2 \ sec\\\\[/tex]
z-axis change is zero z and the x-path the same way:
[tex]= u_x t + \frac{1}{2} a_x t^2 \\\\= 40 \times 2 + 0.5 \times 0 \times 2^2 \\\\ = 40 \times 2 + 0.5 \times 0 \times 4 \\\\ = 80 +0\\\\= 80 \ ft \ \ i[/tex]
In y-direction:
[tex]= 0 \times t - \frac{1}{2} \times (6) \times 2^2\\\\ = - \frac{1}{2} \times (6) \times 4\\\\ = - (6) \times 2\\\\= - 12 ft \ \ j[/tex]
the ball lands at:[tex]( 80 i - 12 j + 0 k ) ft[/tex]
Magnitude:
[tex]\to ( 80^2 + (-12)^2 )^{\frac{1}{2}}\\\\\to ( 6400 + 144 )^{\frac{1}{2}}\\\\\to ( 6544 )^{\frac{1}{2}}\\\\\to 80.89 \ ft[/tex]from the origin.
angle:
[tex]\to \tan^{-1} ( \frac{12}{80} )\\\\\to 8.53^{\circ}[/tex]
velocity:
[tex]\to 40 i + ( 0 - 6 \times 2 ) j + ( 32- 32 \times 2 ) k\\\\\to 40 i + ( - 12 ) j + ( 32- 64 ) k\\\\\to 40 i - 12 j - 32 k\\\\\to ( 40^2 + 12^2 + 32^2 )^{\frac{1}{2}}\\\\\to (1600+144+1024)^{\frac{1}{2}}\\\\\to 2768^{\frac{1}{2}}\\\\\to 52.61\ \ \frac{ft}{s}[/tex]
what is the voltmeter reading this time?
Answer: positive terminal
Explanation: A voltmeter reading is a process of measuring electic potentials in volts with voltmeter. A positive terminal is the terminal of a battery or other voltage source toward which electrons flow through the external circuit.
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The atomic particles given off as a result of nuclear fission are _____ and _____.
beta
alpha
omega
gamma
Answer:
The atomic particles given off as a result of nuclear fission are alpha and beta.
Explanation:
A car in front of the school goes from rest to 27 m/s in 3.0 seconds. What is its acceleration?
Answer:
9m/s^2
Explanation:
v= v0+at
27= 0 + (a* 3.0)
= 9
In a tug-of-war, one team pulls with a force of 150 Newtons.
How much force must the other team pull with if the tug-of-war rope is to be in a state of equilibrium?
A. O Newtons
B. 50 Newtons
C. 75 Newtons
D. 150 Newtons
E.
300 Newtons
Identify the possible source of Earth's magnetic field.
Answer:
The magnetic field is generated by electric currents due to the motion of convection currents of a mixture of molten iron and nickel in the Earth's outer core: these convection currents are caused by heat escaping from the core, a natural process called a geodynamo.Explanation:
[tex]hii[/tex]
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How long was Michael Jordan in the air when he jumped straight up with a speed of 4.5 m/s? I know the answer is 0.918 seconds, but I don't know how to get there.
Answer:
Explanation:
Using the equation of motion
v = u+gt
v is the final velocity
u si the initial velocity
g is the acceleration due to gravity
t is the time
Substitute
0 = 4.5-(9.8)t
-4.5 = -9.8t
t = 4.5/9.8
t = 0.459s
A bus travel 400 m between 2 stops. It starts from rest and accelerates at 1.5 m / s ^ 2 until it reaches a speed of 5m / s. The bus continuous at this speed and then decelerates at 2 m / s ^ 2 until it comes to a stop. Find the total time required for the journey.
Answer:
Explanation:
Time during which there was acceleration = (v - u) / a = 5 / 1.5 = 3.33 s
Time during which there was deceleration = (v - u) / a = 5 / 2 = 2.5 s
Distance travelled during acceleration = 1 /2 a x t² = 1/2 x 1.5 x 3.33²
= 8.32 m
Distance travelled during deceleration = 1 /2 a x t² = 1/2 x 2 x 2.5²
= 6.25 m
Total distance travelled = 400 m
distance travelled when the velocity was uniform = 400 - ( 6.25 + 8.32 )
= 385.43 m
uniform velocity = 5 m /s
time during uniform velocity existed
= 385.43 / 5 = 77.1 s
Total time required in the journey = 77.1 + 3.33 + 2.5
= 82.93 s
Rita's bike starts from rest and accelerates at 2.0m/s2. Where will she be relative to her starting point after 7 seconds? What
is her velocity after 2s and 7s?
Answer:
She will be at 49m from her starting point in 7s
Explanation:
V = AT 2s V = 2*2 = 4m/s 7s V = = 2*7 = 14 m/s
D = 1/2AT^2 for 7 sec = 1/2*2 m/s^2 * 7s^2
= 1/2*2*49
= 49m
a rectangular block has amass of 60 kg and sides 2mx1mx3mx ij g=10m/s then what is the minimum pressure that is it can exert as it rest on a surface
A.100pa
B.200pa
C.50pa
D.300pa
==============================================
Explanation:
The largest face of this rectangular block is 2*3 = 6 square meters. You simply pick the two largest sides and multiply them to get the largest area.
Pressure is defined as the force divided by area. The larger the area gets, the smaller the pressure will be. This is because the pressure is spread out over more area to reduce the per square unit pressure amount.
The block is 60 kg and the acceleration of gravity is roughly 10 m/s^2
So the force pulling down on the block is roughly 60*10 = 600 newtons.
Now we can find the pressure
P = pressure = unknown
F = force = 600 N
A = area = 6 square m
P = F/A
P = (600 N)/(6 m^2)
P = 100 (N/m^2)
P = 100 pa
Where "pa" stands for the unit "pascals", which is one unit for pressure.
--------------
Note what happens when we make A as small as possible. That happens with the 1 by 2 side, so the area is A = 1*2 = 2, and we get
P = F/A = 600/2 = 300 pascals
Reducing A enlarges P. Consequently, minimizing A leads to maximizing P. So the max pressure occurs on the face that is 1 m by 2 m.
Look on a periodic table. What element has the atomic number 6?
Answer:
Carbon (see below)
Explanation:
To identify an element on the period table, you can use its atomic number—or its number of protons.
The atomic number of an element is located in the upper left-hand corner of each square in the periodic table. Refer to IMAGE.A for more info.
If you look at the periodic table, you can spot carbon in the nonmetals.
Carbon's upper left-hand corner has a 6. Refer to IMAGE.B for more info.
How does science help us understand Earth’s complex systems?
A. By focusing only on humans, it helps us understand how people are affected by Earth’s systems.
B. By viewing the Earth as a single integrated system, it helps us understand how humanity and Earth are related, and how the systems work
C. By viewing the Earth as many separate systems, it helps us understand how each system functions alone.
D. By looking at other planets, it helps us understand their complex systems and how they are similar to ours.
Answer:
C
Explanation:
By viewing the earth as many separate systems, it helps us understand how each system functions alone
The elements least likely to form bonds are found in which group?
15
ООО
16
O 18
Answer:
It would be O 18
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For Horizontal Distance formula is,
[tex]R = \frac{V_{o} ^2}{g} Sin2[/tex] θ
where,
R is range or horizontal distance
[tex]V_{o}[/tex] is initial velocity
g is acceleration due to gravity
θ is the angel it makes
so,
by putting the initial velocity and EACH ANGEL that is given in the data,
we will get range respectively,
for 31 degree = 565m
for 89 degrees= 22m
for 17 degrees = 357.88m
for 49 degrees = 633.77m
for 40 degrees = 630.27m
for 78 degrees = 260.3 m
SO FROM SHORTEST TO LONGEST IS,
89 degrees i.e. 22m , 78 degrees i.e. 260.3 m, 17 degrees i.e. 357.88m, 40 degrees i.e. 630.27m, 49 degrees i.e. 633.77m
I HOPE IT HELPS YOU :)
23) A ball was thrown straight up into the air at 50. m/s, how fast was it going 2.2 seconds later? (acceleration = g = -9.8 m/s2)
Answer:
-9.8m/s^2 x 2.2 = -21.56m/s^2 50m/s - 21.56m/s^2 = 28.44m/s
A spring scale is used to exert a net force of 2.7 N on a cart.If the cart's mass is 0.64 kg,what is the cart's acceleration?
Answer:
4.2 m/s2
Explanation:
By using Newton's second law, the cart's acceleration is 4.2 m/[tex]s^{2}[/tex]
Given that a spring scale is used to exert a net force of 2.7 N on a cart.
If the cart's mass is 0.64 kg, then, we can use Newton's second law to solve the question.
F = ma
Force F = 2.7 N
Mass m = 0.64 kg
Acceleration a = ?
Substitute all the parameters into the formula
2.7 = 0.64a
a = 2.7/0.64
a = 4.2 m/[tex]s^{2}[/tex]
Therefore, the cart's acceleration is 4.2 m/[tex]s^{2}[/tex]
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C. The driver is looking at her phone and has a total reaction time of 4.6 seconds as the car is moving at a constant speed of 11 m/s. If the driver slams on her brakes and slows down at a rate of -8.2 m/s2, what is the stopping distance for the car in this situation
Answer:
The stopping distance for the car when the driver slams on her brakes is 7.38 m.
Explanation:
The distance traveled for the car after stopping can be found using the following equation:
[tex] v_{f}^{2} = v_{0}^{2} + 2ad [/tex]
Where:
vf is the final speed = 0 (it stops)
v₀ is the initial speed = 11 m/s
a is the acceleration = -8.2 m/s²
d is the distance =?
When the driver slams on her brakes the distance traveled is:
[tex]d = -\frac{v_{0}^{2}}{2a} = -\frac{(11 m/s)^{2}}{2*(-8.2 m/s^{2})} = 7.38 m[/tex]
Therefore, the stopping distance for the car when the driver slams on her brakes is 7.38 m.
I hope it helps you!
When one resistor in a series is shorted, explain what would happen to the circuit's current, resistance, the voltage across the shorted component, and voltage across the other components
Answer:
A. The circuit's current drops. b. The circuit's resistance drops c. The voltage across it is zero d. The voltage remains the same.
Explanation:
a. What would happen to the circuit's current
Since the circuit is in series and one resistor is shorted, the current in the circuit would drop since it is a series circuit and one resistor has been shorted.
b. What would happen to the circuit's resistance
The resistance of the circuit drops by the value of the resistance shorted since it is a series circuit and the shorting cuts off this resistor from the circuit.
c. What would happen to the voltage across the shorted component
The voltage across the shorted component is zero because, since no current flows through it and we know that voltage V = IR and if I = 0, V = 0 × R = 0 V. So, the voltage across it is zero.
d. What would happen to the voltage across the other components
The voltage across the other components remains the same as the initial voltage because, the short transfers the current across the shorted component and makes the shorted component disappear from the circuit. The short thus makes it seem like the source voltage is directly connected to the other components across the shorted resistor. So, the new voltage across the other components is the initial voltage in the circuit before the short.
A cross-country skier moves 36 meters eastward, then 44
meters westward, and finally 22 meters eastward.
For this motion, what is the distance moved?
Tap button at left to enter
Distance = 102
answer using our built-in
number pad.
What is the magnitude and direction of the
displacement?
Magnitude =
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answer using our built-in
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Dir'n =
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Check Answers
Answer:
a) 102 meters
b) 14 meters
c) The direction is eastward.
Explanation:
Distance is said to be the length between two points. It is a scalar quantity.
a) The distance moved = 36 + 44 + 22
= 102 meters
b) Displacement is the distance moved in a specified direction.
Representing the distance moved with specific direction as a directed number, 36 meters eastward = +36, 44 meters westward = -44, and 22 meters eastward = +22
/Displacement/ = +36 -44 +22
= +58-44
= 14
The magnitude of the displacement is 14 meters.
c) The direction is eastward.
So that the magnitude of displacement and his direction is 14 meters eastward.
A fullback is running down the football field in a straight line. He starts at the 0 yard line at 0 seconds. At 1 second, he is on the 10 yard line; at 2 seconds, he is on the 20 yard line; at 3 seconds, he is at the 30 yard line; at 4 seconds, he is on the 40 yard line. What is the players acceleration?
Answer:
10 yards per second
Explanation:
In a convection current, as the temperature of a fluid increases, what property of the fluid decreases?
density
energy
particle size
particle speed
Answer: Density
Explanation: When the fluids particles are heated, they move faster. As they move faster, the particles occupy more space, causing the density to decrease.
Answer:
A. Density
Explanation:
As you move from a gas to the solid state forces of attraction do what?
Answer:
Gas – In a gas, particles are in continual straight-line motion. The kinetic energy of the molecule is greater than the attractive force between them, thus they are much farther apart and move freely of each other. In most cases, there are essentially no attractive forces between particles.
Explanation:
Answer:
The molecules of a gas move apart when they collide. The average kinetic energy of the particles in a liquid (or solid) is small enough that the forces of attraction between them is sufficient to hold the particles close together. The molecules in a liquid (or solid) do not move apart.
Explanation:
Gas – In a gas, particles are in continual straight-line motion. The kinetic energy of the molecule is greater than the attractive force between them, thus they are much farther apart and move freely of each other. In most cases, there are essentially no attractive forces between particles.
Describe a change caused by kinetic energy as well as a change that involves potential energy
Answer:
KE= energy associated with motion
PE= energy associated with position
KE example= throwing a ball (ball moving= KE), skateboarding
PE example= dropping a book (since the book is held above the ground, it has PE)(as it falls, PE is converted to KE)
Why is it important to keep a fitness journal?
Answer:
To see how well you are doing.
Explanation:
Maintaining an exercise journal helps a person keep track of progress and see firsthand if he or she is sticking to a steady exercise routine.
A fitness journal is a valuable tool that provides structure, accountability, and motivation while allowing you to track progress and make informed decisions to optimize your workouts and well-being.
Monitoring Progress: Keeping a fitness journal enables you to monitor and assess your advancement over time. You may track your progress in terms of fitness by keeping track of the exercises you do, their time, and their intensity. This keeps you motivated and reveals any areas where you might need to change your workouts to efficiently attain your goals. Setting Goals: Putting your fitness objectives in writing in a journal will help you clarify your objectives. You can plan and monitor your progress towards reaching your goals if they are clear and explicit. This helps you maintain your commitment to your fitness journey by keeping you focused and giving you a feeling of direction.
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Question 12(Multiple Choice Worth 2 points) The photoelectric effect describes when light shines on a piece of metal, and the metal releases electrons. Which model of light behavior best helps explain this effect? Particle model Wave model Electromagnetic model Frequency model
Answer:
A. Particle model.
Explanation:
The photoelectric effect describes when light shines on a piece of metal, and the metal releases electrons. The model of light behavior which best helps to explain this effect is the particle model. According to Isaac Newton, he postulated that light consists of little (tiny) particles which typically travels in a straight line and from his experimental investigation he observed that white light comprises of a mixture of colors.
Sir Newton observed that, when light shines on a piece of metal, the metal releases electrons because the energy of the tiny light particles are greater than the binding energy of the electrons residing in the metal. This theory is known as the particle model of light.
An ice skater has a moment of inertia of 5.0 kg.M^2 when her arms are outstretched , and at the time she is spinning at 3.0 rev/s . If she pulls in her arms and decreases her moment of inertia to 2.0 kg.M^2 , how fast will she be spinning
Answer:
The ice skater will spin at an angular speed of 7.5 revolutions per second.
Explanation:
From statement we notice that ice skater can be considered as a system, on which no external forces are exerted, such that Principle of Angular Momentum can be applied:
[tex]I_{1}\cdot \omega_{1} = I_{2}\cdot \omega_{2}[/tex] (Eq. 1)
Where:
[tex]I_{1}[/tex] - Moment of inertia of the ice skater when her arms are outstretched, measured in kilogram-square meters.
[tex]\omega_{1}[/tex] - Angular speed when arms are outstretched, measured in revolutions per second.
[tex]I_{2}[/tex] - Moment of inertial of the ice skater when her arms are pulled, measured in kilogram-square meters.
[tex]\omega_{2}[/tex] - Angular speed when arms are pulled, measured in revolutions per second.
If [tex]I_{1} = 5\,kg\cdot m^{2}[/tex], [tex]\omega_{1} = 3\,\frac{rev}{s}[/tex] and [tex]I_{2} = 2\,kg\cdot m^{2}[/tex], the angular speed when arms are pulled is:
[tex]\omega_{2} = \frac{I_{1}}{I_{2}} \cdot \omega_{1}[/tex]
[tex]\omega_{2} = \left(\frac{5\,kg\cdot m^{2}}{2\,kg\cdot m^{2}} \right)\cdot \left(3\,\frac{rev}{s} \right)[/tex]
[tex]\omega_{2} = 7.5\,\frac{rev}{s}[/tex]
The ice skater will spin at an angular speed of 7.5 revolutions per second.
If you threw a rock somewhere with no gravity or friction the rock would..
A.) Continue at the same speed in the same direction.
B.) Stop.
C.) Move forward quickly then slowly.
D.) Move forward slowly then fall.
Answer:
A
Explanation:
Once the stone is thrown, with direction vectors and initial velocity will keep on traveling for infinite period unless there is another force to stop it.
For example, Newton's 1st law of Motion: ''Every inanimate body will continue its state of rest/motion unless acted upon by an external unbalanced force''
Since there is no friction, drag or any viscous force, our stone will travel for infinite period of time.
I hope this helps :)
A 2455 kg car was pushed by 77 kg student with a force of 720 N. What force does the car apply on the student?
a.0 N
b.-797 N
c.- 720 N
d.-3175 N
Answer:
C
Explanation:
Given that a 2455 kg car was pushed by 77 kg student with a force of 720 N.
According to Newton's third law of motion which state that in every action, there will be equal and opposite reaction.
The action on the car = 720 N
The reaction from the car = - 720 N
Therefore, the force the car will apply on the student will be -720N.
The correct answer is C
what do you mean by quantization of energy?
Answer:
The quantization of energy refers to the fact that at subatomic levels, energy is best thought of as occuring in discreet "packets" called photons. The red and blue photons are therefore "quantized" just as dollar bill denominations are "quantized". Each photon contains a unique amount of discreet energy.
A 1200 kg car accelerates at a rate of 3.97 m/s^2. What is the net force acting on the car?
Answer:
The answer is 4764 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question we have
force = 1200 × 3.97
We have the final answer as
4764 NHope this helps you
