Given
x = 1.02 m
t = 1.20s
y = 1m
Procedure
The time of flight of a projectile motion is the time from when the object is projected to the time it reaches the surface.
The maximum height is reached when vy = 0 Using this we can rearrange the velocity equation to find the time it will take for the object to reach maximum height
[tex]\begin{gathered} t=\frac{v_y}{g} \\ t=\frac{5.88\text{ m/s}}{9.81\text{ m/s}^2} \\ t=0.6s \end{gathered}[/tex]
Two billiard balls of equal mass move at right angles and meet at the origin of an xy coordinate system. Ball A is moving upward along the y axis at vA = 1.6 m/s , and ball B is moving to the right along the x axis with speed vB = 5.1 m/s . After the collision, assumed elastic, ball B is moving along the positive y axis
a)What is the final direction of ball A?
b) What are their two speeds?
a ) The final direction of ball A is along x-axis in positive direction.
b ) The speed of ball A is 5.1 m / s and that of ball B is 1.6 m / s
In an elastic collision between two objects of same mass, the balls would move at right angles with each other. So, it is given that, the final direction of ball B is along positive Y-axis. So the final direction of ball A must be perpendicular to that direction which is positive x-axis.
The initial velocity of ball A = 1.6 m / s
The initial velocity of ball B = 5.1 m / s
In an elastic collision between two objects of same mass, the balls would exchange velocities.
Final velocity of ball A = 5.1 m / s
Final velocity of ball B = 1.6 m / s
Therefore,
a ) The final direction of ball A is along x-axis in positive direction.
b ) The speed of ball A is 5.1 m / s and that of ball B is 1.6 m / s
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What is the work done on a box if a force of 20.0N is applied at an angle of -25.0° while the box moves 8.00m?159J145J-67.6J21.2J
The work done by a constant force in a rectilinear motion is given by:
[tex]W=Fd\cos\theta[/tex]where F is the magnitude of the force, d is the distance the object moves and θ is the angle between the force vector and the displacement vector. In this case we have that:
0. The magnitude of the force is 20 N
,1. The distance is 8 m
,2. The angle between the force and the displacement vector is -25°.
Plugging these values in the expression for the work we have:
[tex]\begin{gathered} W=(20)(8)\cos(-25) \\ W=145 \end{gathered}[/tex]Therefore, the work done on the box is 145 J
All of the following are characteristics of gravity except
Answer 1-It is a force of attraction
Answer 2-It does not change
Answer 3-It is described as the bending of space
Answer 4 - it is responsible for the planets revolving around the sun
Gravity is not described as the bending of space.
So answer 3 is the correct option among them.
What is gravity?Gravity is described as a fundamental interaction which causes mutual attraction between all things with mass or energy.
The characteristics of gravity include the following:
It is a force of attractionIt does not change it is responsible for the planets revolving around the sunGravity is also known as the universal force of attraction acting between all matter. Gravity has been found by experts to be by far the weakest known force in nature.
In conclusion, Gravity creates stars and planets by pulling together the material from which they are made.
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If a giant molecular cloud is a distance of 21 pc away from Earth and drifts at a speed of 21 km/s toward Earth, how long (in years) would it take to reach Earth if the Sun remained at its current position?
The time it would take it to reach Earth if the Sun remained at its current position is 978,349.5 years.
What is the time of motion of the giant molecular cloud?
The time of motion of the giant molecular cloud is the time take for the giant molecular cloud to reach the earth.
Mathematically, the time taken for the giant molecular cloud to reach the earth is given as;
time = distance / speed
where;
the distance = 21 pc = 6.48 x 10¹⁴ kmspeed of the cloud = 21 km/stime of motion = (6.48 x 10¹⁴ km) / (21 km/s)
time of motion = 3.086 x 10¹³ seconds = 978,349.5 years.
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if a hammer for (mass= 0.45kg) is 1.7m high on a shelf , how much potential energy does it have ?
Given,
The mass of the hammer, m=0.45 kg
The height of the shelf, h=1.7 m
The potential energy is given by,
[tex]E_P=mgh[/tex]Where g is the acceleration due to gravity.
On substituting the known values in the above equation,
[tex]E_P=0.45\times9.8\times1.7=7.5\text{ J}[/tex]Therefore the potential energy of the hammer is 7.5 J
abigal drives her car with a constant speed of 32 miles per hour . how far can she travel in 1 hour?
Abigail drives her car with a constant speed of 32 miles per hour . How far can she travel in 1 hour?
Abigail is driving 32 miles an hour. This means she goes 32 miles in 1 hour.
I need help knowing the formula and the meaning of it, and the solution.
Given,
The maximum pressure that a human body can withstand, P=1.80×10⁵ Pa
The density of the seawater, ρ=1.03×10³ kg/m³
The acceleration due to gravity, g=9.8 m/s²
The pressure on a body under the water is given by,
[tex]P=p_a+\rho gh[/tex]Where pₐ is the atmospheric pressure at the sea level and h is the safe depth that a human can dive into.
The value of the pressure at sea level is pₐ=1 atm=1.01×10⁵ Pa
On rearranging the above equation,
[tex]h=\frac{P-p_a}{\rho g}[/tex]On substituting the known values,
[tex]\begin{gathered} h=\frac{1.80\times10^5-1.01\times10^5}{1.03\times10^3\times9.80} \\ =7.8\text{ m} \end{gathered}[/tex]Therefore the maximum safe depth an average human can dive is 7.8 m
HELP! You walk 5 miles north, then turn around and walk 4 miles south. Calculate distance and displacement.
The distance and displacement are equal to 9 miles and 1 miles respectively.
What is distance?Distance can be defined as the amount of ground that is covered (travelled) by a physical object over a particular period of time and speed, irrespective of its direction, starting point or ending point.
In this scenario, the total distance covered (walked) by this person can be calculated by adding the distance he walked in the north direction to the distance he walked in the south direction as follows:
Distance = xf + x₀
Distance = 5 + 4
Distance = 9 miles.
On the other hand (conversely), the displacement would be calculated by subtracting the distance he walked in the south direction from the distance he walked in the north direction as follows:
Displacement = xf - x₀
Displacement = 5 - 4
Displacement = 1 mile.
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Like charges repel, whereas opposite charges attract. Is this true or false?
The electrostatic force between the like charges is positive and between the unlike charges is negative.
The positive value of force indicates the repulsion and the negative value of the force represent the attarction between the charges.
Thus, the like charges repel each other and unlike charges attract each other.
Hence, the given statement is true.
Answer: True
Explanation: Completed & passed test <3
When an object is placed at a distance greater than twice the focal length of the lens, the real image produced is ___________.1) inverted and smaller than the object2) inverted and large than the object3) inverted and the same size as the object4) upright and the same size as the object
When an object is placed at a distance greater than twice the focal length of the lens, the real image produced by lens is inverted and smaller than the object, which means option (1) is correct.
A force of 200 N is exerted on an object of mass 80 kg that is located on a sheet of perfectly smooth ice. What is the acceleration of the object?
Answer:down below
Explanation: Mass of first object = 40 kg
Mass of similar second object = 40 kg
Total mass = 40+40 = 80 kg
Force = 200 N
S
Force = Mass × Acceleration
200 = 80 × Acceleration
Acceleration = 200/80 = 2.5 m/s²
The coefficient of kinetic friction between the surface and the largest block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.40. If F=25 N and M=4.0kg in the figure, what is the tension (in N) on the connecting string
The coefficient of kinetic friction between the surface and the largest block is 0.20, and the coefficient of kinetic friction between the surface and the smaller block is 0.40. If F=25 N and M=4.0kg , then the tension on the connecting string is 13.68N .
Given ,
the coefficient of kinetic friction between the surface and the largest block is 0.2 .
the coefficient of kinetic friction between the surface and the smaller block is 0.4 .
F = 25N
M= 4kg
thus the mass of smaller box is 4kg and the mass of largest box is 8kg .
Now , using free body diagram , to apply newton's second law ,
For m1 :∑Fx =T−f1 =m1a or T=m1a+f 1 ........... [1]
And also ∑Fy =n1−m1g=0 or n1=m1g
Also, the definition of the coefficient of friction gives
f1=μn1 =(0.4)(4kg)(9.80m/s^2)=15.68N
For m2:∑Fx=F–T–f2 =ma...................................... [2]
Also from the y component, n2–m2g=0 or n2=m2g
And again f2=μn2=(0.2)(8kg)(9.80m/s^2)=15.68N
Substituting T from equation [1] into [2], we get
F−m1a−f1−f2=m2a or F−f1−f2=m2a+m1a
Solving for a,
a=(F−f1 −f2)/(m1+m2) =( 25-15.68-15.68)/4+8 = -6.36/12 = -0.53m/s^2
Thus ,
T = m1a +f1 = 4(-0.53)+15.68 = 13.68N
Hence , the tension on connecting string is 13.68N .
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A train accelerates at a rate of 2 Km/hr/sec for a period of 30 seconds. If its initial speed was 15 Km/hr, what will be its final speed?
a = Vf - vi / t
Where:
a = acceleration = 2 km/h/s
vf= final speed
vi= initial speed = 15 km/h
t= time = 30 sec
Isolate Vf
at = Vf- vi
at + vi = vf
Replacing:
vf = 2 km/h/s * 30s + 15 km/h
vf = 60 km/h + 15 km/h
Vf= 75 km/h
Can someone please help me
With the application of resolution of vector, the net force is 197 N and the direction is 59 degree.
Resolution of ForcesResolution of forces can simply be solved by resolving to horizontal and vertical component.
In the given figure, we will resolve the forces into horizontal and vertical components.
Horizontal component
Fh = 80 cos 80 + 60 cos 30 + 70 cos 60
Fh = 13.89 + 51.96 + 35
Fh = 100.85 N
Vertical Component
Fv = 80 sin 80 + 60 sin 30 - 70 sin 60
Fv = 78.78 + 30 + 60.62
Fv = 169.4 N
Resultant force = √( Fh² + Fv²)
Resultant force = √(100.85² + 169.4²)
Resultant force = √(10170.7 + 28696.4)
Resultant force = √38867.06
Resultant force = 197.15 N
The direction will be
Tan Ф = Fv/Fh
Tan Ф = 169.4 / 100.85
Tan Ф = 1.68
Ф = [tex]tan^{-1}[/tex](1.68)
Ф = 59.23
Therefore, the magnitude of resultant force is 197.15 N and the direction is 59 degree north east
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4. What is the kinetic energy of a bike with a mass of 16 kg traveling at 4 m/s?
The kinetic energy of a 16kg bike with a velocity of 4m/s is 128 joules.
What is the kinetic energy of the bike?Kinetic energy is simply the energy a body possesses due to its motion.
Its expressed as;
K.E = 1/2 × m × v²
Where m is mass and v is velocity
Given the data in the question;
Mass m = 16kgVelocity v = 4m/sKinetic energy K.E = ?Plug the given values into the formula above and solve for K.E.
K.E = 1/2 × m × v²
K.E = 1/2 × 16kg × (4m/s)²
K.E = 8kg × 16m²/s²
K.E = 128kgm²/s²
K.E = 128J
Therefore, the kinetic energy is 128 Joules.
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Identify the physical property of a material that plays an important role in determining if the collision is elastic or not.
The collisions are of two types as,
1. Elastic Collision: It is a collision in which the momentum of the system and net energy of the system before and after the collision remain same.
2. Inelastic Collision: It is a collision in which the momentum of the system before and after the system remain conserved but there is a loss in the energy takes place during the collision. Thus, the energy of the system does not remain conserved before and after the collision.
Hence, the energy of the material is a physical property of the same material that plays an important role in determining if the collision is elastic or not.
HELP! A car drives 15 miles, then drives 5 miles. Calculate car's distance and displacement.
A car drives 15 miles, then drives 5 miles. The distance travelled by the car is 20 miles and the displacement is 10miles.
What is distance?Distance is defined as the entire motion of an object, regardless of direction.
It can also be defined as the product of an object's speed and the entire time required for it to complete the distance of its journey.
Displacement is defined as the distance between the two markings, which is irrespective of the route that was used to get there.
It can also be defined as a one-dimensional measurement used to express the distance between two specified places.
Distance = 15 + 5
= 20 miles
Displacement = 15 - 5
= 10 miles
Thus, a car drives 15 miles, then drives 5 miles. The distance travelled by the car is 20 miles and the displacement is 10miles.
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A 20.0-N box rests on a 50.0-N box on a perfectly smooth horizontal floor. When a horizontal 15.0-N pull to the right is exerted on the lower box (see figure), both boxes move together what is the net force on the top block
The net force on the top block is 33.54 N.
What is net force?
Net force is the sum or resultant of two or more forces acting on a body.
Also, the net force is the force which is the sum of all the forces acting on an object simultaneously.
The sum of the upward forces is calculated as follows;
F(upward) = 50 N - 20 N = 30 N
The sum of the horizontal forces is calculated as follows;
F(horizontal) = 15 N
The net force or resultant force on the top block is calculated as follows;
F(net) = √Fy² + Fx²
where;
Fy is the sum of the vertical forcesFx is the sum of the horizontal forcesF(net) = √Fy² + Fx²
F(net) = √[(30)² + (15)²]
F(net) = 33.54 N
Thus, the net force or resultant force on the top block is determined as 33.54 N.
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Three crates with various contents are pulled by a force Fpull = 3677 N across a horizontal, frictionless roller-conveyor system.
The group of boxes accelerates at 1.430 m/s? to the right. Between each adjacent pair of boxes is a force meter that measures the
magnitude of the tension in the connecting rope. Between the box of mass m₁ and the box of mass m₂, the force meter reads
F12 = 1397 N. Between the box of mass m₂ and the box of mass m3, the force meter reads F23 = 2351 N. Assume that the
ropes and force meters are massless.
m
m.
m₂
If the three crates are pulled by a force of F pull = 3677 N and an acceleration of 1.43 m / s / s, the mass of box 1 is 976.92 kg, mass of box 2 is 667.18 kg and the mass of box 3 is 927.23 kg
F = m a
F = Force
m = Mass
a = Acceleration
F = 3677 N
a = 1.43 m / s²
F = ( m1 + m2 + m3 ) a
3677 = ( m1 + m2 + m3 ) 1.43
m1 + m2 + m3 = 2571.33 → ( 1 )
The force between masses 1 and 2 is F12 = 1397 N,
F12 = m1 a
1397 = m1 * 1.43
m1 = 976.92 kg
The force between masses 2 and 3 is F23 = 2351 N.
F23 = ( m1 + m2 ) a
2351 = ( 976.92 + m2 ) 1.43
m2 = 1644.1 - 976.92
m2 = 667.18 kg
From ( 1 ),
m1 + m2 + m3 = 2571.33
976.92 + 667.18 + m3 = 2571.33
m3 = 927.23 kg
Therefore,
Mass of box 1, m1 = 976.92 kgMass of box 2, m2 = 667.18 kgMass of box 3, m3 = 927.23 kgTo know more about Force meters
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What is the half life of an isotope that has a decay constant of 0.00567?
We are asked to determine the half-life of an isotope. To do that we will use the following formula:
[tex]T=\frac{ln(2)}{\lambda}[/tex]Where:
[tex]\begin{gathered} T=\text{ half-life} \\ \lambda=\text{ decay constant} \end{gathered}[/tex]Now, we plug in the values:
[tex]T=\frac{ln(2)}{0.00567}[/tex]Solving the operations:
[tex]T=122.25[/tex]Therefore, the half-life is 122.25
Use the data given to decide which water heater is more efficient. Show all relevant calculations to
support your choice.
Answer:
Heater B
Explanation:
The efficiency = Energy output / Energy input.
This is because the efficiency is basically "how well can this thing use energy, will it waste a lot of energy or will most of the energy go towards the use?"
The efficiency of A is:
Energy input = 7 * 10^3
Energy output = 4.5 * 10^3
4.5 * 10^3 / (7.0*10^3) = 0.642857143 = 64 %
The efficiency of B is:
Energy input = 5*10^4
Energy output = 3.3 * 10^4
3.3 * 10^4 / (5 * 10^4) = 0.66 = 66 %
The efficiency of B is greater, so heater B is more efficient by a little margin
19
Sonya says her interest in reality competition shows is waning. What is the state of her interest in these shows?
A.
B.
C.
D.
it's in decline
it's growing
it's stable
it's nonexistent
Answer:
a. its in decline
Explanation:
waning means decreasing
A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done? (1 point)
O 18.2 J
O 705 J
O OJ
O 24,600 J
Answer:OJ
Explanation: it ok you can trust me (-_-)
Answer:
(Question) What is the mathematical relationship between force and work?
(Answer) W=F×d
(Question) If W=F×d, which of the following equations shows work being calculated using the correct units?
(Answer) 113 J=(17.4 N)×(6.51 m)
(Question) A force of 57.1 Newtons is applied for 0.977 meters; what work was done on the object?
(Answer) 55.8 J
(Question) A car applies a force of 36.8 Newtons for a 668-meter loop; what was the work done?
(Answer) 0J
(Question) A 8.43-Newton force was applied for an unknown displacement; however, it is known that 376 joules of work was done. What is the value of the mystery displacement?
(Answer) 44.6 m
Explanation:
just did the quick check UwU
What is the answer to this question? The answer has to be in 3 significant digits.
ANSWER:
2.99 meters per second
STEP-BY-STEP EXPLANATION:
Given:
m1 = 1.16 kg
m2 = 1.98 kg
Vi1 = 8.64 m/s
Vi2 = -3.34 m/s
Vf1 = -2.16 m/s
We can determine the speed of the second car thanks to the law of conservation of momentum which is the following:
[tex]m_1\cdot V_{i1}+m_2\cdot V_{i2}=m_1\cdot V_{f1}+m_2\cdot V_{f2}[/tex]We replace each value and we would have:
[tex]\begin{gathered} 1.16\cdot8.64+1.98\cdot3.34=1.16\cdot-2.16+1.98\cdot V_{f2} \\ 3.4092=-2.5056+1.98\cdot V_{f2} \\ 1.98\cdot V_{f2}=3.4092+2.5056 \\ V_{f2}=\frac{5.9148}{1.98} \\ V_{f2}=2.99\text{ m/s} \end{gathered}[/tex]The velocity of the second car is 2.99 meters per second
Which of the following is true about the relationship between the gravitational force of Earth and the Moon? (1 point)
O The Earth has identical gravitational attraction to that of the Moon.
O The Moon has a greater gravitational attraction than the Earth.
O The Earth has no impact on the gravitational attraction of the Moon.
O The Earth has a greater gravitational attraction than the Moon.
Answer:
The Earth has a greater gravitational attraction than the moon.
Explanation:
Which procedure describes how the scientific method might solve a problem? Find something scientists say is true and then ask questions about it. Identify something you think is true and then set out to prove it. Identify a question, make observations, create a hypothesis, and then set up an experiment to test the hypothesis. Do an experiment and then ask questions about it.
Identify a question, make observations, create a hypothesis, and then set up an experiment to test the hypothesis.
What is hypothesis?
A hypothesis is a put forth explanation for a phenomenon (plural: hypotheses). A hypothesis must be testable according to the scientific method for it to be considered a scientific hypothesis. Scientific hypotheses are typically based on prior observations that cannot be adequately explained by the current body of knowledge. Despite the frequent confusion between the terms "hypothesis" and "theory," a scientific hypothesis differs from a scientific theory. A working hypothesis is an accepted theory that has been tentatively supported and is put up for further investigation.
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Motion can be described in terms of the speed, position, velocity, and acceleration of an object. How do these quantities relate to one another?
Speed is defined as a change in position over time. Position's derivative is velocity, and velocity's derivative is acceleration.
What is the relation between speed, position, velocity , acceleration?The speed equation is as simple as distance divided by time. We can define Speed as the rate at which an object's position changes in any direction.S = d/t
The direction is also indicated by the position function.In these problems, you're usually given a position equation of the form " x=" or " s (t) = s(t)= s(t)=", which tells you how far an object is from a given reference point.v = v 0 + a t
The velocity of something is the rate at which it moves in a specific direction.Although speed and velocity are frequently used interchangeably, they are distinct concepts in physics. The equation,v = s/t
represents velocity (v) as a vector quantity that measures displacement (or change in position, s) over time (t). A point or object moving in a straight line is accelerated if it accelerates or decelerates. Even if the speed is constant, motion on a circle is accelerated because the direction is constantly changing.a = (v - v0) / t = Δv / t
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What would be the reaction force for the following action force: Hand hits a table.
Hand feels pain.
Hand stops moving.
Table hits hand.
Table makes a noise.
Answer:
hand feels pain
Explanation:
I think the right answer is hand feels pain.
According to Newton's third law of motion, for every action, there is an equal and opposite reaction. In the scenario you described, the action force is the hand hitting the table.
Hand feels pain: When the hand hits the table, the hand exerts a force on the table. Simultaneously, the table exerts an equal and opposite reaction force on the hand. This reaction force is responsible for the sensation of pain that the hand feels upon impact. It is essentially the force transmitted back from the table to the hand.
Hand stops moving: The reaction force from the table, acting in the opposite direction to the action force, causes the hand to stop moving. As the hand applies a force to the table, the table applies an equal and opposite force to the hand, resulting in a deceleration of the hand's motion until it comes to a stop.
Table hits hand: As mentioned earlier, the table exerts a reaction force on the hand. This reaction force acts in the opposite direction to the action force, causing the table to exert a force on the hand. Therefore, the table hitting the hand is a consequence of the reaction force resulting from the hand hitting the table.
Table makes a noise: The noise produced when the hand hits the table is not directly related to the reaction force itself. The noise is typically the result of the vibrations and movements caused by the impact between the hand and the table. These vibrations propagate through the table, air, and other surrounding objects, creating sound waves that we perceive as noise.
It's important to note that while Newton's third law states that the magnitudes of the action and reaction forces are equal, the effects they produce can be different due to variations in mass, acceleration, and other factors involved.
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A car traveling at a speed of 35.0 m/s encounters an emergency and comes to a complete stop.
How much time will it take for the car to stop if it decelerates at -4.0 m/s²?
Answer:
time will it take for the car to stop = 8.75 s
Explanation:
The formula linking final velocity(v), initial velocity(u), acceleration(a) and time(t) is
v = u + at
The final velocity is 0 m/s since the car comes to a stop
Initial velocity u = 35 m/s
a = -4 m/s²
We have to find t
Plug in values
0 = 35 + (-4)t
-4t + 35 = 0
-4t = -35
t = -35/-4 = 8.75 s
A 58-kg boy swings a baseball bat, which causes a 0.140-kg baseball to move towards 3rd base with a velocity of 38.0 m/s. What is the kinetic energy of the baseball?
ANSWER:
101.08 joules.
STEP-BY-STEP EXPLANATION:
Given:
m = 0.140 kg
v = 38.0 m/s
Kinetic energy can be calculated using the following formula:
[tex]E=\frac{1}{2}\cdot m\cdot v^2[/tex]Replacing
[tex]\begin{gathered} E=\frac{1}{2}\cdot0.140\cdot(38.0)^2 \\ E=101.08\text{ J} \end{gathered}[/tex]The kinetic energy of baseball is 101.08 joules.
