ANSWER
9.51 m/s
EXPLANATION
We know that Jeff is 8.5m below Karen. He tosses the can up with initial velocity u = 16m/s and it passes where Karen is, so the maximum height of the can is 8.5m plus some more meters x. Then Karen catches the can in its way down, so when she does the can goes this distance x.
Let's find this distance. The height of an object thrown up with initial velocity u is:
[tex]y=ut-\frac{1}{2}gt^2[/tex]We know u = 16m/s but we don't know the time. This we can find from the final velocity of the can:
[tex]v=u-gt[/tex]At its maximum height the velocity is zero:
[tex]0=u-gt[/tex]Solving for t:
[tex]t=\frac{u}{g}[/tex]If we assume g = 9.8m/s²:
[tex]t=\frac{16m/s}{9.8m/s^2}=1.63s[/tex]We know that the can was in the air for 1.63 seconds until it reached its maximum height. The maximum height is:
[tex]y=16m/s\cdot1.63s-\frac{1}{2}\cdot9.8m/s^2\cdot1.63^2s^2[/tex][tex]y=26.08m-13.02m=13.06m[/tex]This is the maximum height of the can. The extra distance the can travelled above Karen is:
[tex]x=13.06m-8.5m=4.56m[/tex]In the can's way down, the initial velocity is 0, because it starts falling after stopping in its way up. The acceleration is still the acceleration of gravity and the height it falls is x. We can find the time it took to reach Karen's hand after it started falling:
[tex]y=\frac{1}{2}gt^2[/tex]Note that in this case we use the acceleration of gravity positive because it is in the same direction of the can's motion. Solving for t:
[tex]t=\sqrt[]{\frac{2y}{g}}[/tex][tex]t=\sqrt[]{\frac{2\cdot4.56m}{9.8m/s^2}}=\sqrt[]{0.93s^2}=0.97s[/tex]Knowing that the can was in the air for another 0.97 seconds after starting falling until it reached Karen's hand, we can find its velocity at that instant:
[tex]v=u+gt[/tex]Remember that in this case u = 0:
[tex]v=gt=9.8m/s^2\cdot0.97s=9.51m/s[/tex]The velocity of the can the instant before Karen grabs it is 9.51 m/s
You have a concave mirror with a focal length of 100.0 cm, and you want an image that is upright and 10.0 times as tall as the object. Where should you place the object?Select one:a.9.09 cmb.12.09 cmc.7.12 cmd.5.8 cm
ANSWER:
a. 9.09cm
STEP-BY-STEP EXPLANATION:
Given:
Focal length = 100 cm
Distance image = -10 cm
We use the following formula to calculate the value of the distance of the object:
[tex]\frac{1}{d_o}+\frac{1}{d_i}=\frac{1}{f}[/tex]We substitute each value and calculate the distance of the object just like this:
[tex]\begin{gathered} \frac{1}{d_o}+\frac{1}{-10}=\frac{1}{100} \\ \\ \frac{1}{d_{o}}=\frac{1}{100}+\frac{1}{10} \\ \\ \frac{1}{d_o}=\frac{11}{100} \\ \\ d_o=\frac{100}{11} \\ \\ d_o=9.09\text{ cm} \end{gathered}[/tex]Therefore, the correct answer is option a. 9.09cm
You see a blue star directly over Avalon's equator. It appears to be moving north at 5.0 arcseconds per year. How far away is this star from Avalon (in parsecs - a parsec is ).
The distance of the star from the sun is 1.25 parsecs.
What quantity is measured in arcseconds?
The distance of the sun to other celestial bodies is measured in arcseconds.
The distance from the sun to a celestial object is the reciprocal of the angle, measured in arcseconds, of the object's apparent movement caused by parallax.
2 arcseconds = 0.5 parsecs
5 arcseconds = ?
= (5 arcseconds x 0.5 parsecs) / (2 arcseconds)
= 1.25 parsecs
Thus, the star appears to be moving north at 1.25 parsecs per year.
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Two capacitors of values of 1.0 μF and 0.50 μF are connected in parallel. The system is hooked up to a 100 V battery. Find the electrical potential energy stored in the 1.0 μF capacitor.Group of answer choices1.0x10-2 J1.9x10-3 J5.0x10-3 J6.5x10-3 J
5.0x10-3 J
Explanation
Step 1
find the equivalent capacitor,When capacitors are connected together in parallel the total or equivalent capacitance, CT in the circuit is equal to the sum of all the individual capacitors added together
so
[tex]\begin{gathered} C_{eq}=1.0\mu F+0.50\mu F \\ C_{eq}=1.50\mu F \end{gathered}[/tex]Step 2
We can proceed to use this formula and solve for the potential energy stored in the 1.0mF capacitor.
[tex]\begin{gathered} U=\frac{1}{2}cV^2 \\ U=\frac{1}{2}(0.000001c)(100^2) \\ U=0.005\text{ J} \\ U=5\cdot10^{-3\text{ }}J \end{gathered}[/tex]therefore, the answer is
5.0x10-3 J
I hope this helps you
Suppose an elephant has a mass of 2750 kg.How fast, in meters per second, does the elephant need to move to have the same kinetic energy as a 66.5-kg sprinter running at 9.5 m/s?
Given:
The mass of the elephant is M = 2750 kg
The mass of the sprinter is m = 66.5 kg
The speed of the sprinter is v = 9.5 m/s
The kinetic energy of the sprinter is equal to the kinetic energy of the elephant.
Required: The speed of the elephant
Explanation:
The kinetic energy of the sprinter is equal to the kinetic energy of the elephant.
The speed of the elephant can be calculated by the formula
[tex]\begin{gathered} K.E._{elephant}=K.E._{sprinter} \\ \frac{1}{2}MV^2=\frac{1}{2}mv^2 \\ V=\sqrt{\frac{mv^2}{M}} \end{gathered}[/tex]On substituting the values, the speed of the elephant will be
[tex]\begin{gathered} V=\sqrt{\frac{66.5\times(9.5)^2}{2750}} \\ =1.48\text{ m/s} \end{gathered}[/tex]Thus, the speed of the elephant is 1.48 m/s
Final Answer: The speed of the elephant is 1.48 m/s
IBangkok, Thailand, and Lima, Peru, are located at opposite positions of Earth's surface. When a rock is dropped in both cities, observers would describe the motion of either rock with a word that means "down."
Where are the two rocks moving?
Responses
They are moving away from each other.
.
One rock is moving due east and the other is moving due west.
They are moving down, which is the same direction in both cities.
They are moving toward each other.
Answer :dawg you got snaids thats the answer awww man
Explanation:
answer is that of an answer
A stone is thrown vertically upwards from a height of 1.5m and lands on the ground 6s later. What was the magnitude of the initial velocity?
Answer:
2.5m/s is the correct answer
Derek leaves his physics book on top of a drafting table that is inclined at a 35° angle. The table exerts a force on the book of 18 Newtons, and the force of gravity is 22 Newtons. If the Force of friction acting on the book is 11 Newtons, what is the Net Force on the book?
The net force on the book is equal to 1.61 N.
What is the net force?The net force on the object can be defined as the vector sum of all the forces together. Net force becomes resultant force and shows the same effect on the rotational motion as all actual forces.
Given, the angle of the book with the table, α = 35°
The force of friction, f = 11N
The normal force acting on the book, N = 18N
The force of gravity, W = 22 N
The net force along the table is F₁ = Wsinα - f
F₁= 22× sin35° - 11
F₁ = 1.6 N
The net force perpendicular to table is F₂ = W cosα -N
F₂= 22×cos35° -18
F₂ = 0.021 N
The net force on the book is [tex]F_{net} = \sqrt{F_1^2+F_2^2}[/tex]
[tex]F_{net} = \sqrt{(1.6)^2+(0.021)^2}[/tex]
[tex]F_{net} = 1.61N[/tex]
Therefore, the net force on the book is equal to 1.61 Newtons.
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1.Can money by happiness?why and Why not?
2.Are you happy with the possession you have? Yes/No Why?
Answer:
Explanation:
1) No it can't
2)Yes I am
Answer:
yes it's can be, but Don't put money first
Physics
Hello how to solve this
2.15 mL of water will spill from the beaker when a 400mL glass beaker at room temperature is filled to the brim with cold water.
What is temperature and how come 2 mL of water spills off the beaker?Temperature as studied always is the measure for the degree of hotness or coldness.Here in the question is given a glass beaker of 400 mL which is at room temperature .Now the beaker is warmed up to 30 degree celsius, and then some of amount of water spilled.Change in volume = beta x v1 x change in temperature = 210 x 10^-4 x 400 x ( 30 - 4.4) = 2.15 mL.Hence the amount of water that will spill from the beaker would be 2.15 mL.To know more about temperature visit:
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Calculate the force between charges of 5.0x10^-8c and 1.0x10^-7c if they are .15m apart
Given data:
[tex]\begin{gathered} Q_1=5.0\times10^{-8}\text{ C} \\ Q_2=1.0\times10^{-7}\text{ C} \\ r=0.15\text{ m} \end{gathered}[/tex]The electrostatic force is given as,
[tex]F=\frac{KQ_1Q_2}{r^2}[/tex]Here, K is electrostatic force constant.
Substituting all known values,
[tex]\begin{gathered} F=\frac{9\times10^9\times5\times10^{-8}\times1\times10^{-7}^{}}{(0.15)^2} \\ =2\times10^{-3}\text{ N} \end{gathered}[/tex]Therefore, the force between the charges is 2×10^(-3) N. Hence, option (d) is the correct choice.
Please do this step-by-step how do you do it when it’s between
Given:
• Mass of block A = 6.0 kg
,• Mass of block B = 7.0 kg
,• Mass of block C = 13.0 kg
,• Force, F = 13.0 N
Let's find the magnitude of the tension in the rope between B and C.
Let's first find the acceleration.
We have:
[tex]13-T_B+T_B-T_A+T_A=6a+7a+13a[/tex]Thus, we have:
[tex]\begin{gathered} 13=26a \\ \\ a=\frac{13}{26} \\ \\ a=0.5\text{ m/s}^2 \end{gathered}[/tex]To find the tension between blocks B and C, we have the equation:
[tex]\begin{gathered} F-T_B=M_C*a \\ \\ T_B=F-M_c*a \end{gathered}[/tex]Where:
F = 13 N
Mc is the mass of block C = 13 kg
a is the acceleration = 0.5 m/s²
Thus, we have:
[tex]\begin{gathered} T_B=13-13*0.5 \\ \\ T_B=13-6.5 \\ \\ T_B=6.5\text{ N} \end{gathered}[/tex]Therefore, the magnitude of the tension in the rope between blocks B and C is 6.5 N
ANSWER:
6.5 N
You push a 2.1 kg object on a table with 42N of force. The box then slowly skids to a stop over 2.2 m. What is the force of friction?
If you push a 2.1 kg object on a table with 42N of force. The box then slowly skids to a stop over 2.2 meters, then the force of the friction would be 42 Newtons as per the concept of limiting friction.
What is friction?Friction is a type of force that resists or prevents the relative motion of two physical objects when their surfaces come in contact.
As given in the problem if push a 2.1 kg object on a table with 42N of force. The box then slowly skids to a stop over 2.2 m, then we have to find the force of the friction.
The force of the friction = The limiting friction force
If you apply 42N of force to a 2.1-kilogram item on a table. According to the theory of limiting friction, when the box gently slides to a halt over a distance of 2.2 meters, the force of friction would be 42 Newtons.
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Electric charges exist within atoms. Is this true or false?
This statement is true because within atoms we have protons and electrons, which have positive and negative charge, respectively.
Therefore, the answer is true.Answer: True
Explanation:
Aced the test
IThe alignment of electrons in a magnetic field does not contribute to the properties of magnets true or false?
To determine whether the given statement is true or false.
Explanation:
The alignment of electrons in a particular direction in a magnetic field form magnetic domains.
These magnetic domains are responsible for magnetic properties.
Thus the given statement is true.
A 4.0 kW clothes dryer is connected to a 220 V circuit. How much current does the dryer use?
Given:
The power take by the dryer is
[tex]\begin{gathered} P=4\text{ kW} \\ P=4000\text{ W} \end{gathered}[/tex]
The dryer is connected to source of
[tex]V=220\text{ V}[/tex]Required: the current use by the dryer
Explanation:
we know that power taken by any appliance is given by
[tex]P=VI[/tex]here, V is the voltage of the source and I is the current drawn by the electric appliance.
Plugging all the values in the above formula, we get
[tex]\begin{gathered} 4000\text{ W}=220\text{ V}I \\ I=\frac{4000\text{ W}}{220\text{ V}} \\ I=18.18\text{ A} \end{gathered}[/tex]Thus, the current used by the dryer is
[tex]18.18\text{ A}[/tex]The idea that our solar system formed from an interstellar cloud of dust, hydrogen,helium and other ionized gases is known as what theory?A. Big Bang TheoryB. Geocentric TheoryC. Nebular Hypothesis Theory
Given:
The solar system formed from an interstellar cloud of dust, hydrogen,
helium and other ionized gases.
To find:
The name of the theory tells us the fact
Explanation:
The Sun and all the planets of our Solar System began as a giant cloud of molecular gas and dust. The nebular hypothesis tells us about this theory.
Hence, the correct answer is 'The nebular hypothesis theory'.
Altering __________ will be sure to result in an alteration of the speed of the sound wave. Select all that apply.a- the wavelength of the waveb- the period of the wavec- the frequency of the waved- the properties of the mediume- the intensity of the wavef- the amplitude of the wave
ANSWER:
d- the properties of the medium
STEP-BY-STEP EXPLANATION:
The speed of a wave depends on the properties of the medium through which the wave is moving. A realization in the properties of the medium will result in a change in the speed at which the wave moves through that medium.
Therefore, the only correct option is:
d- the properties of the medium
Philip jumps up with to a height of 3 m above the ground. What was Philip's initial velocity? round to the tenth.
The initial velocity of Philip was 7.66 m/s
Given data:
The vertical height is h=3 m.
Considering ground as the reference, then the initial potential energy of Philip is zero, i.e., PEi=0
The formula for the kinetic energy is given by,
[tex]KE_i=\frac{1}{2}mv^2[/tex]Here, m is mass and v is the velocity.
After reaching the height of 3 m Philip comes to a stop. It means the final kinetic energy is zero, i.e. KEf=0.
The final potential energy is given by,
[tex]PE_f=mgh[/tex]Here, g is the gravitational acceleration.
Applying the conservation of energy between initial position and final position.
[tex]\begin{gathered} KE_i+PE_i=KE_f+PE_f \\ \frac{1}{2}mv^2+0=0+mgh \\ v=\sqrt[]{2gh} \\ v=\sqrt[]{2\times9.8\times3} \\ v=7.66\text{ m/s} \end{gathered}[/tex]Thus, the initial velocity of Philip was 7.66 m/s.
A car initially at rest travels with a uniform acceleration of 8 m / s^2 . Calculate the distance covered by the car in 3 s .
We know that
• The initial velocity is zero because it starts from rest.
,• The acceleration is 8 m/s^2.
,• The time elapsed is 3 seconds.
Use a formula that relates initial velocity, acceleration, time, and distance.
[tex]d=v_0t+\frac{1}{2}at^2[/tex]Use the given magnitudes to find d.
[tex]\begin{gathered} d=0\cdot3\sec +\frac{1}{2}\cdot(8\cdot\frac{m}{s^2})(3\sec )^2 \\ d=4\cdot\frac{m}{s^2}\cdot9s^2 \\ d=36m \end{gathered}[/tex]Therefore, the distance covered is 36 meters.propose a hypothesis as to how initial speed may affect the range of a projectile
The range, R, of a projectile motion is directly proportional to the horizontal component of the initial velocity as given by the formula,
[tex]R=u_xt[/tex]Where u_x is the horizontal component of the initial velocity and t is the time of flight of the projectile.
The range of a projectile is directly proportional to the square of the initial velocity as given by,
[tex]R=\frac{u^2\sin 2\theta}{g}[/tex]Thus the initial speed increases, the range of the projectile increases.
S=3-2t+3t^2
What is the instantaneous velocity and it’s acceleration at t=3s
At what time is the particle at rest
Answer:
Explanation:
Given:
X(t) = 3 - 2*t + 3*t²
t = 3 s
_______________
V(t) - ?
a(t) - ?
Speed is the first derivative of the coordinate, acceleration is the second.
1)
V(t) = X' = (3 - 2*t + 3*t²)' = 0 - 2 +6*t = 6*t - 2
V(3) = 6*3 - 2 = 16 m/s
2)
a(t) = X'' = V' = (6*t - 2)' = 6 m/s²
a(3) = 6 m/s²
3)
The body will stop (V = 0 ) in (t) seconds:
V(t) = 6*t - 2
0 = 6*t - 2
6*t = 2
t = 2/6 = 1/3 ≈ 0,33 s
An object is placed 15cm in front of a convex mirror and an image is produced 5cm behind the mirror. Calculate the focal length of the mirror
The inverse of the optical power of an optical system, the focal length provides a measurement of how strongly the system converges or diverges light. A system's light converges when the focal length is positive, while it diverges when the focal length is negative.
A diverging mirror with the reflective surface bulging towards the direction of the light source is referred to as a convex mirror. Since they reflect light outward, they are not employed to focus light. Convex mirrors create an image that is smaller than the object and grows larger as it approaches closer to the mirror.
Given that the image of an object is generated v cm from a spherical mirror with a focal length of f, and that the object is situated u cm in front of the mirror, u, v, and f are connected by the equation 1/f=1/u + 1/v. The mirror formula is the term used to describe this equation. Both concave and convex mirrors can be used using the formula.
Therefore using, 1/f = 1/u + 1/v
1/f = 1/15 + 1/5
1/f = (1 + 3) / 15
f = 15/4 = 3.75cm
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A car is negotiating a flat circular curve of radius 50 m with a speed of 20 m/swithout slipping. The maximum centripetal force (provided by static friction) is 1.2 x10^4N. What is the mass of the car?1) 0.50 x 10^3 kg2) 1.0 x 10^3 kg3) 1.5 x 10^3kg4) 2.0 x 10^3 kg
We are given a car that is experiencing a centripetal force.
The formula for the force is given by:
[tex]F_c=\frac{mv^2}{r}[/tex]Where "m" is the mass, "v" is the velocity and "r" is the radius. Now we solve for the mass, first by multiplying both sides by r:
[tex]rF_c=mv^2[/tex]Now we divide by the velocity squared:
[tex]\frac{rF_c}{v^2}=m[/tex]Now we replace the known values:
[tex]\frac{(50m)(1.2\times10^4N)}{(20\frac{m}{s})^2}=m[/tex]Solving the operations:
[tex]1500kg=m[/tex]Therefore, the mass is 1500 kg.
An archerfish squirts water with a speed 2 m/s at an angle 50 degrees above the horizontal, and aims for a beetle on a leaf 3cm above the water surface. (A) At what horizontal distance from the beetle should the archerfish fire if it is to hit its target in the least time? (B) How much time does the beetle have to react?
A ) The horizontal distance from the beetle, the archerfish should fire if it is to hit its target in the least time = 1.19 m
B ) The time beetle have to react = 0.93 s
T = ( [tex]u_{y}[/tex] + √ [tex]u_{y}[/tex]² - 2 g H ) / g
T = Total time taken
g = Acceleration due to gravity
H = Height above the ground
[tex]u_{y}[/tex] = Y-component of initial velocity
u = 2 m / s
θ = 50°
H = 3 cm
[tex]u_{y}[/tex] = u sin θ
[tex]u_{y}[/tex] = 2 * sin 50°
[tex]u_{y}[/tex] = 1.54 m / s
T = ( 1.54 + √ 1.54² - ( 2 * 9.8 * 3 ) ) / 9.8
T = ( 1.54 + √ 56.42 ) / 9.8
T = 9.1 / 9.8
T = 0.93 s
R = [tex]u_{x}[/tex] T
[tex]u_{x}[/tex] = u cos θ
[tex]u_{x}[/tex] = 2 * cos 50°
[tex]u_{x}[/tex] = 1.28 m / s
R = 1.28 * 0.93
R = 1.19 m
Therefore,
A ) The horizontal distance from the beetle, the archerfish should fire if it is to hit its target in the least time = 1.19 m
B ) The time beetle have to react = 0.93 s
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orce and Motion Unit TestUse the following scenario to answer the question.Taj and Micah chose to go bowling. Taj rolled the ball toward the pins first, knocking them all down.Which of the following is affecting these objects?point)O Gravity is affecting these objects.O An unbalanced force is affecting the objects.O Inertia is affecting these objects.O A balanced force is affecting the objects.
So lets go through all four answer choices.
The easiest to choose is whether gravity is affecting these objects. Assuming that there is some sort of gravity that would pull the pins down, gravity does affect these objects
Second is inertia.
We know that if an object has inertia, it will try to resist moving/coming to rest. In this case, we know that the pins have inertia because the pins fell over, so we know that the pins do have inertia
The last part is whether these objects have an unbalanced or balanced force. If a balanced force did exist, there would need to a force that would equally counteract the force of the bowling ball, which there isn't. Which means there is an unbalanced force affecting these objects.
Given that the user must choose one, the correct answer would be that an unbla
A sea wave propagates with a speed of 12 cm/s and a length of 0.4 meters,find its period.A:0,1 minB:10sC:1sD:3,33s
Given:
The speed of the wave is v = 12 cm/s = 0.12 m/s
The wavelength of the wave is
[tex]\lambda\text{ = 0.4 m}[/tex]To find the period.
Explanation:
The time period can be calculated by the formula
[tex]T=\frac{\lambda}{v}[/tex]On substituting the values, the time period will be
[tex]\begin{gathered} T=\frac{0.4}{0.12} \\ =3.33\text{ s} \end{gathered}[/tex]Thus, the time period of the sea wave is 3.33 s
People weigh less on the moon than on the Earth because:the moon is smaller and has less gravity to pull on you.the Earth has less gravity than the Moon.people weigh the same on the moon as they do on Earth.the moon is magnetized.
Given
People weigh less on the moon than on the Earth
To find
The correct reason for the given statement
Explanation
The moon has much lesser mass than that of the earth. It is also just 60 percent as dense as the earth. So the gravitational pull on the moon is less than on the earth and thus people weigh less on the moon
Conclusion
The correct reason is
the moon is smaller and has less gravity to pull on you.
A light, inextensible cord passes over alight, frictionless pulley with a radius of15 cm. It has a(n) 18 kg mass on the left and a(n) 2.6 kg mass on the right, both hanging freely. Initially their center of masses are a vertical distance 1.5 m apart.The acceleration of gravity is 9.8 m/s².
At what rate are the two masses accelerating when they pass each other answer in units of m/s^2 boo
Answer:
have you heard of quizlet
Explanation:
they are very helpful to these things
What is the average velocity of a car that travels 48 km north in 2.0 h?
Answer: 3.7 seconds. :)
Explanation:
Answer:
Explanation:
Given:
L = 48 km
t = 2.0 h
__________
V - ?
V = L / t = 48 / 2.0 = 24 km/h
Hello please could you help me with the physics ?
In order to calculate the amount of energy needed, we can use the formula below:
[tex]Q=m\cdot c\cdot\Delta T[/tex]Where Q is the amount of energy in Joules, m is the mass in kg, c is the specific heat coefficient and DeltaT is the change in temperature.
So, for m = 0.8, c = 4.2*10^3 and DeltaT = 85 (from 15°C to 100°C), we have:
[tex]\begin{gathered} Q=0.8\cdot4.2\cdot10^3\cdot85 \\ Q=285600\text{ J} \end{gathered}[/tex]Then, for the energy needed to evaporate the water, we have a similar formula:
[tex]Q=m\cdot L[/tex]Where L is the latent heat. So, for L = 2.3 * 10^6, we have:
[tex]\begin{gathered} Q=0.8\cdot2.3\cdot10^6 \\ Q=1840000\text{ J} \end{gathered}[/tex]