Using the graph, when (in seconds) would you expect the object to have the highest velocity? Explain your answer.

Answer:

A) v(t) = (32 - 1.6t) m/s

a(t) = -1.6 m/s²

B) t = 20 seconds

C) 320 m

D) t = 5.85 seconds going up and 34.14 seconds going down

E) 40 seconds

Explanation:

Height is given by the equation;

S(t) = 32t - 0.8t²

A) Velocity after time t is gotten from first derivative of the distance.

Thus;

v(t) = dS/dt = 32 - 1.6t

Acceleration at time t is gotten from derivative of the velocity.

Thus;

a(t) = d²S/dt² = -1.6 m/s²

B) At highest point, velocity is zero.

Thus;

32 - 1.6t = 0

1.6t = 32

t = 32/1.6

t = 20 seconds

C) To find how high the rock goes, it means we are looking for maximum height.

This will be at t = 20 seconds.

Thus;

S(20) = 32(20) - 0.8(20)²

S(20) = 640 - 320

S(20) = 320 m

D) we want to find the time it will take to reach half its maximum height.

since maximum height is 320 m, then half the maximum height is; S_½ = 320/2 = 160

Thus;

160 = 32t - 0.8t²

0.8t² - 32t + 160 = 0

Using quadratic formula, we will get;

t = 5.85 seconds going up and 34.14 seconds going down

E) time the rock is aloft = twice the time it took to reach maximum height.

Thus; t_aloft = 2 × 20 = 40 seconds

Answer:

The wavelength of the EM wave is 7.5 * 10⁻⁴ m

Explanation:

The velocity of a wave is related to its wavelength by the following formula;

velocity = wavelength * frequency

For an electromagnetic (EM) wave, its velocity is equal to the velocity of light, c = 3.0 * 10⁸ m/s

Given that the frequency and veloity of the given EM wave in the question is known, its wavelength is calculated as follows:

wavelength = velocity/frequency

where velocity of the EM wave = 3.0 * 10⁸ m/s;

frequency = 4THz = 4 * 10¹² Hz

wavelength = 3.0 * 10⁸m/s / 4 * 10¹² Hz

wavelength = 7.5 * 10⁻⁴ m

Therefore, the wavelength of the EM wave is 7.5 * 10⁻⁴ m

Answer:

The wavelength is 7.5 x 10^-5m

Answer:

electrons are completely transferred from one atom to another. In the process of either losing or gaining negatively charged electrons, the reacting atoms form ions. The oppositely charged ions are attracted to each other by electrostatic forces, which are the basis of the ionic bond.

Explanation:

Answer:

His third law states that for every action (force) in nature there is an equal and opposite reaction. In other words, if object A exerts a force on object B, then object B also exerts an equal and opposite force on object A. ... In reaction, a thrusting force is produced in the opposite direction.

Explanation:

Answer:

These two forces are called action and reaction forces and are the subject of Newton's third law of motion Formally stated Newton's third law is For every action

Explanation:

Answer:

No

Explanation:

For infinite speed to be achevied, one must have no sink of energy to spend. The source of entropy in this example, is the tires hitting the surface, producing heat and friction. Not to mention that you'd still need fuel to start the car, and an infinite tunnel or track, which would be impossible and speed up to process of energy loss through entropy quicker.

Answer:

  2.5 m/s

Explanation:

We assume the skates are positioned so that the motion is essentially frictionless.

Conservation of momentum tells you Michelle's velocity (v) must satisfy ...

  ∑mv = 0

  (80 kg)(v) + (50 kg)(4 m/s) = 0

  v = -(50 kg)(4 m/s)/(80 kg) = -2.5 m/s

Michelle's speed is 2.5 m/s in the direction opposite Isabella's.

Answer:

2.5 m/s

Explanation:

Answer:

[tex]x=0.057m[/tex]

[tex]h=0.457m[/tex]

Explanation:

From the question we are told that

Distance of eyes from the top of hat [tex]d_1=114mm[/tex]

Distance of eyes from buckle  [tex]d_2=800mm[/tex]

Generally position of mirror relative eyes x is mathematically given as

[tex]x=\frac{114}{2}[/tex]

[tex]x=57mm[/tex]

[tex]x=0.057m[/tex]

Generally the height of the mirror h is mathematically given as

[tex]h=\frac{(Buckle\ below\ the\ hat)+(Buckle\ below\ the\ hat)}{2}[/tex]

[tex]h=\frac{(114)+(800)}{2}[/tex]

[tex]h=457mm[/tex]

[tex]h=0.457m[/tex]

Answer:

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Answer:

Stress, in physical sciences and engineering, force per unit area within materials that arises from externally applied forces, uneven heating, or permanent deformation and that permits an accurate description and prediction of elastic, plastic, and fluid behaviour.

I hope it's helpful!

Answer:

Explanation: relationship between the object and the observer's frame of reference.

Answer:

τ = 539 N m

Explanation:

Let's use the rotational equilibrium relationship, where we set our reference system at the junction of the poles and the counterclockwise rotations we consider positive

               τ = Σ τ_i

the mass of the traffic lights is m₁ = 10 kg, the mass of the sign m₂ = 4.5kg and suppose the worst case all the elements connected at the end (x = 7 m)

               τ = 2 m₁  x + m₂ x + m₃ x / 2

we calculate the mass of the horizontal pole using the concept of linear density

               λ = m₃ / l

               m₃ = λ l

we substitute

                τ = (2m₁ + m₂) x + λ l x / 2

                τ = x (2m₁ + m₂ +λ l / 2)

let's calculate

               τ = 7 (2 10 + 4.5 + 15 7/2)

               τ = 539 N m

therefore, this is the torque that the joint between the two posts must resist

The velocity of the freely falling object reached after 4.0 s is equal to 39.2 m/s.

A relation can be established between the velocity of the body and acceleration of the body when the body is moving along a straight line with uniform acceleration. The distance traveled by the body in a specific time has expressed a set of equations called equations of motion.

The first equation of motion can be expressed as follows:

v = u + at

Where u is the initial velocity, v is the final velocity and a is the acceleration and t is the time of the object.

Given, the acceleration of the falling object, g = 9.8 m/s²

The initial velocity of the object, u = 0, and the time = 4 sec

The velocity of the object after time, t = 4 sec.

v = (0) + (9.80)× (4)

v = 39.2 m/s

Therefore, the velocity of the falling object will be 39.2 m/s after 4 seconds.

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Answer:

0.1835m/s

Explanation:

The formula for calculating the speed of wave is expressed as;

v = fλ

f is the frequency - The number of oscillations completed in one seconds

If 22 waves pass the boat every 60 seconds,

number of wave that passes in 1 seconds = 22/60 = 0.367 waves

Therefore the frequency f of the wave is 0.367Hertz

λ (wavelength) is the distance between successive crest and trough of a wave

λ = 0.5m

Substitute the given values into the formula

v = fλ

v = 0.367 * 0.5

v = 0.1835

Hence the speed of the waves is 0.1835m/s

Answer with Explanation:

We are given that

Length of pole(l0)=20 m

Length of garage(l)=10 m

a. We have to find the speed by which the Patrick is running.

We know that

[tex]l=l_0\sqrt{1-\frac{v^2}{c^2}}[/tex]

Substitute the values

[tex]10=20\sqrt{1-\frac{v^2}{c^2}}[/tex]

[tex]\frac{10}{20}=\sqrt{1-\frac{v^2}{c^2}}[/tex]

[tex]\frac{1}{2}=\sqrt{1-\frac{v^2}{c^2}}[/tex]

[tex]\frac{1}{4}=1-\frac{v^2}{c^2}[/tex]

[tex]\frac{v^2}{c^2}=1-\frac{1}{4}=\frac{3}{4}[/tex]

[tex]v^2=0.75c^2[/tex]

[tex]v=0.87c[/tex]

b.

l0=10 m

[tex]l=10\sqrt{1-\frac{3}{4}}[/tex]

[tex]l=5m[/tex]

Hence, the length of garage appear to him=5 m long.

Answer:

the smallest resolvable separation between two objects in the microscope is 2.58 × 10⁻⁷ m

Explanation:

Given the data in the question;

the smallest resolvable separation distance between two objects in the microscope can be determined using the following quation;

[tex]d_{min}[/tex] = Dλ/NA = (0.61)λ /NA

where λ is the wavelength of emitted light  = 550nm = 5.5 × 10⁻⁷ m

NA = microscope objective = 1.3

so we substitute

[tex]d_{min}[/tex] = (0.61)5.5 × 10⁻⁷ m) / 1.3

[tex]d_{min}[/tex]  = 0.0000003355 / 1.3

[tex]d_{min}[/tex]  = 2.58 × 10⁻⁷ m

Therefore,  the smallest resolvable separation between two objects in the microscope is 2.58 × 10⁻⁷ m

A star produces energy by creating helium from hydrogen in its core (option D).

A star is a luminous celestial body, made up of plasma (particularly hydrogen and helium) and having a spherical shape.

Nuclear fusion is the energy-producing process in stars. The "proton-proton chain," a series of events that turns four hydrogen atoms into one helium atom, dominates this process for the majority of stars.

Nuclear fusion is the combining of the nuclei of small atoms to form the nuclei of larger ones, with a resulting release of large quantities of energy.

Hydrogen atoms fuse in the core of the star to form a helium atom, which generates the energy for the star.

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Answer:

well i am sure you need this to so look really hard at this then delete it

Explanation:

1. The speed with which electrons move through a copper wire is typically 10-4 m s-1

.

a. Explain why is it that the electrons cannot travel faster in the conductor?

b. Explain why the electron drift produces heat?

1. a) collisons with the crystal lattice atoms b) collisions with lattice atoms transfers energy.

2. Explain in terms of atomic and electron movement, why resistance increases with temperature.

2. Electrons drift through the lattice, as temperature increases the lattice atoms vibrate more and this increases the probability of

collision and hence resistance to electrons has increased.

3. Calculate the resistance of an aluminum (ρ = 2.8x10-8 Ωm) wire that is 2.0 m long and of circular cross section

with a diameter of 1.5 mm.

3. 32 mΩ

4. Determine the length of tungsten (ρ = 5.6x10-8 Ωm) wire with a diameter of 1.0 mm that is used to make a 20.0 Ω resistor.

4. 280 m

5. A nichrome (ρ = 100x10-8 Ωm) wire has a diameter of 0.40 mm. Calculate the length of this wire needed to carry a current

of 30 mA when there is a potential difference of 12 V across it.

5. 50 m

6. A thin copper (ρ = 1.68x10-8 Ωm, but you don’t need it) wire 200 cm in length has a 9 V dry cell connected between its ends.

Determine the voltage drop that occurs along 30 cm of this wire.

6. 1.35 V

7. If the potential difference across the bulb in a camping lantern is 9.0 V, what is the potential difference across the battery used to

power it?

battery gives the voltage of 9.0 V to the lantern to use it.

8. How much current, in amperes, is in a lightning stroke that lasts 0.05 second and transfers 100 coulombs?

I = q/t = (100 C)/(0.05 s) =2000 A

9. Calculate the resistance of the filament in a light bulb that carries 0.4 A when 3.0 V is impressed across it.

V = IR R = V/I = 7.5 Ω

10. Electric socks, popular in cold weather, have a 90-ohm heating element that is powered by a 9-volt battery.

How much current warms your feet?

V = I/R = 0.1 A

11. Calculate the current of a lightning bolt that delivers a charge of 35 coulombs to the ground in a time of 1/1000 second.

11. I = q/t = 35 000 A.

12. Calculate the current where 10 coulombs of charge pass a point in 5 seconds.

12. I = V/R = 2 A

13. Two light bulbs designed for 120-V use are rated at 40W and 60W. Which light bulb has the greater filament resistance? Why?

13. More current flows in the 60-W bulb, which means the resistance of the filament is less.

P = IV = V2/R, R = V2/P = (120 V)2/(60 W) = 240 Ω; for the 40-W lamp, R = (120 V)2/(40 W) = 360 Ω

14. A battery does 18 joules of work on 3 coulombs of charge. What voltage does it supply?

14. V= E/q= (18 J)/(3 C) = 6V

15. A power line with a resistance of 2 ohms has a current of 80 A in it. The power dissipated in the line is

15. 12800 W.

2

16. A toaster oven is plugged into an outlet that provides a voltage difference of 120 V.

What power does the oven use if the current is 10A?

16. P = IV = 1200 W

17. A VCR that is not playing still uses 10.0 W of power. What is the current if the VCR is plugged into a 120 V electric outlet? 17.

17. P = IV I = P/V = 0.083 A

18. A flashlight bulb uses 2.4 W of power when the current in the bulb is 0.8 A. What is the voltage difference?

18. P = IV V = P/I = 3V

19. A refrigerator operates on average for 10.0 h a day. If the power rating of the refrigerator is 700 W, how much electrical energy

does the refrigerator use in 1 day? (make sure to convert to kW)

19. E = Pt = (0.7 kW)(10.0 h) = 7 kWhours

20. A TV with a power rating of 200 W uses 0.8 kWh in one day. For how many hours was the TV on during this day?

20. E = Pt t = E/P= 0.8 kWh/0.2 kW = 4 h

21. Calculate the voltage difference in a circuit with a resistance of 25 Ω if the current in the circuit is 0.5 A.

21. V = IR = 12.5 V

22. A current of 0.5 A flows in a 60 W light bulb when the voltage difference between the ends of the filament is 120 V.

What is the resistance of the filament?

22. R = V/I = 240 Ω

23. A toy car with a resistance of 20 Ω is connected to a 3 V battery. How much current flows in the car?

23. I = V/R = 0.15 A

24. The current flowing in an appliance connected to a 120 V source is 2 A. How many kilowatt-hours of electrical energy does the

appliance use in 4 h? (2 equations used & convert watts to kW)

24. E = Pt P = IV = 0.24 kW E = 0.96 kWh

25. A calculator uses 9 V battery & draws 0.1 A of current. How much power does it use?

25. P = IV = 0.9 W

26. A battery causes 250 mA to flow when it is applied to a light bulb with a resistance of 50 ohms. How much current would flow if

the same source were applied to a 12 ohm resistor?

26. voltage of the source: V = IR = 12.5 V I = V/R = 1.04 A

Answer:

3947.7 kg/m³

Explanation:

The relativistic density can be calculated using below expression;

ρ = ρ' /[√( 1 - v²/c²)]

where,

ρ = Change in Density as a result of motion

ρ'= Actual density of cube

ρ' is given as = 1800 kg/m³

v = Velocity that the cube moves = 0.89c

c = Speed of light

c= 3×10^8 m/s

ρ = ρ' /[√( 1 - v²/c²)]

if we substitute the given values we have

ρ= 1800/ √ 〈1- 0.89c²/ c²〉

ρ=3947.7 kg/m³

Hence, the cube's density is 3947.7 kg/m³

Answer:

1.a) 3.93 m/s

 b) 0.80 s

2. a) 8.49 m

   b) 0.39 s

Explanation:

1. a) The speed at which the fox leaves the snow can be found as follows:

[tex] v_{f}^{2} = v_{0}^{2} - 2gH [/tex]

Where:

g: is the gravity = 9.80 m/s²

[tex]v_{f}[/tex]: is the final speed = 0 (at the maximum height)

[tex]v_{0}[/tex]: is the initial speed =?

H: is the maximum height = 79 cm = 0.79 m

[tex] v_{0} = \sqrt{2gH} = \sqrt{2*9.80 m/s^{2}*0.79 m} = 3.93 m/s [/tex]

Hence, the speed at which the fox leaves the snow is 3.93 m/s.

b) The time at which the fox reaches the maximum height is given by:

[tex]v_{f} = v_{0} - gt[/tex]

[tex]t = \frac{v_{0} - v_{f}}{g} = \frac{3.93 m/s}{9.80 m/s^{2}} = 0.40 s[/tex]

Now, the time of flight is:  

[tex] t_{v} = 2t = 2*0.40 s = 0.80 s [/tex]

2. a) The maximum height the ball reaches is:

[tex] H = \frac{v_{0}^{2} - v_{f}^{2}}{2g} = \frac{(12.9 m/s)^{2}}{2*9.80 m/s^{2}} = 8.49 m [/tex]

Then, the maximum height is 8.49 m.

b) The time at which the ball passes through half the maximum height is:

[tex]y_{f} = y_{0} + v_{0}t - \frac{1}{2}gt^{2}[/tex]

Taking y₀ = 0 and [tex]y_{f}[/tex] = 8.49/2 = 4.245 m we have:

[tex] 4.245 m -12.9m/s*t + \frac{1}{2}*9.80m/s^{2}*t^{2} = 0 [/tex]  

By solving the above quadratic equation we have:

t = 0.39 s

Therefore, the time at which the ball passes through half the maximum height when the ball is going up is 0.39 s.

I hope it helps you!                                                                                                      

The choices that represent the step in the oil formation process are:

Layers of sediment cover dead remains.

Organisms die and sink to the ocean floor.

Heat and pressure change dead remains.

Oil and gas should be created from organic material that is deposited with respect to the sediments on the seabed and after that, it brokes down and then transformed over millions of years. The sediment layers should be covered and dead. The organisms die and then they sink to the ocean. The change to the heat and pressure should remain dead.

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Answer: 2, 3, and 4.

Organisms die and sink to the ocean floor.

Heat and pressure changes dead remains.

Layers of sediment cover dead remains.

Explanation:

I just took the test

Answer:

b. Skier B (bridge) arrives first

Explanation:

This is because, skier B continues along the bring with the same velocity he started with before moving over the bridge and since the bridge is frictionless, he losses no kinetic energy and his speed is constant.

Whereas, skier A losses kinetic energy as he goes into the ditch. This is due to his change in potential energy. He thus emerges from the ditch with lesser kinetic energy than skier B and thus a slower speed.

Therefore, skier B arrives first since he moves at a constant speed.

Answer:

It you get a sushi for work, for a party, then it leads to people being happy, as an independant variable

It is changing the molecular structure of a protein

Explanation:

Answer:

Just as it reaches the top of the bounce.

Explanation:

When an object reaches to the maximum height, its kinetic energy is equal to 0. It can be calculated as follows :

[tex]K=\dfrac{1}{2}mv^2[/tex]

Where

m is mass and v is velocity

In this problem, Anita is bouncing a tennis ball on the sidewalk. She drops the ball and then watches it bounce back up.

It means, when it reaches the top of the bounce, Anita's tennis ball have zero kinetic energy. Hence, the correct option is (d).

Answer:

Yes

Explanation:

Yes. The momentum is the same when the speed of the tennis ball is 18 times greater than the speed of the basketball and the velocities of both objects are in the same direction.

Answer:

   V_{2G} = - 10 m / s

Explanation:

This is an exercise on relative velocities in one dimension, let's use the subscript 1 for the girl, the 2 for the but, the index 3 for the conveyor belt and the index G for the Earth

we will consider the velocity is positive to the right.

They indicate the speed of the belt with respect to the ground = 2 m/s

   the dog speed with respect to the belt = - 8 m / s

Dog speed is requested with respect to the Earth

            [tex]V_{2G} = V_{23} - V_{3G}[/tex]

notice that the inner subscripts cancel out.

We calculate

            = -8 - 2

            V_{2G} = - 10 m / s

the negative sign indicates that the dog moves to the left

Answer:

The speed of stone while hitting the ground in all the three cases will be same .

Explanation:

The speed of stone while hitting the ground in all the three cases will be same .

They all will have same initial kinetic energy because they have same initial speed . Kinetic energy of an object does not depend upon the direction of velocity  of the object .

They will all gain kinetic energy due to loss of height .Since they all fall from the same height , gain of kinetic energy in all the three cases will also be same .

Hence final kinetic energy will be same when they hit the ground .

Hence they all have same speed while hitting the ground .

Answer:

t = 25.0 s

Explanation:

       [tex]v_{f}^{2} - v_{o}^{2} = 2*a* \Delta x (1)[/tex]

       [tex]v_{o} = 84.1 km/h*\frac{1h}{3600s} *\frac{1000m}{1km} = 23.4 m/s (2)[/tex]

      [tex]v_{f} = 15.8 km/h*\frac{1h}{3600s} *\frac{1000m}{1km} = 4.4 m/s (3)[/tex]

       [tex]a = \frac{(4.4m/s)^{2} - (23.4m/s)^{2}}{2*350m} = -0.76 m/s2 (4)[/tex]

       [tex]t =\frac{v_{f}-v_{o}}{a} = \frac{(4.4m/s)-(23.4m/s)}{-0.76m/s2} = 25.0 s (5)[/tex]