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hodyreva [135]
2 years ago
3

A train on a straight track goes in the positive direction for 5.9km and then back up for3.8km. What is the train's displacement

, what is the total distance covered by the train?
Physics
1 answer:
erastovalidia [21]2 years ago
4 0

Answer:

Trains displacement = 2.1 KM

Total distance covered by the train = 9.7 KM

Explanation:

Total distance covered by train will be the total distance moved train

hence

 total distance covered by the train = distance covered by train in positive direction +  distance covered by train in moving back

total distance covered by the train = 5.9 KM + 3.8 KM = 9.7 KM

_____________________________________

Displacement is the shortest distance from original position to the final position during the course of movement of any object.

Given that

Train moved 5.9 KM in positive direction(let it be AB as shown)

hence displace until now is 5.9 KM

but it again moved back for 3.8 KM(let it be B to C as shown below)

it means , train moved 3.8 KM towards origin position

so net displacement will be = 5.9 KM - 3.8 KM = 2.1 KM

A............................................................B ----> 5.9 KM

A_________C___________________B

                                 3.8 KM

Thus, AC will be displacement = AB - BC = 5.9 KM - 3.8 KM = 2.1 KM

Thus,

Trains displacement = 2.1 KM

Total distance covered by the train = 9.7 KM

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An egg falls from a nest at a height of 4m. What speed will it have when it is 1m from the ground? Neglect air resistance and ta
Zolol [24]

Answer: 7.66 m/s

Explanation:

This situation is related to free fall (vertical motion). Hence, this can be considered a one-dimension problem and we can use the following equation:

V^{2}=V_{o}^{2}+2gd

Where:

V is the final velocity of the egg at the asked height

V_{o}=0 m/s is the initial velocity of the egg

g=9.8 m/s^{2} is the acceleration due gravity

d=4 m- 1m= 3m is the distance at which the egg is from the nest, when it is 1 m from the ground

Isolating V:

V=\sqrt{V_{o}^{2}+2gd}

Substituting the known values:

V=\sqrt{2(9.8 m/s^{2})(3 m)}

V=7.66 m/s This is the final velocity of the egg

3 0
2 years ago
The circuit below represents four resistors connected to a 12-volt source. What is the total current in the circuit? 4.0Ω 6.0Ω 1
Tpy6a [65]

Answer:

For series connected resistors I = 0.5A

For parallel connected resistors I = 8.5A

Explanation:

Since the diagram is not available, our solution will be divided into two;

According to ohm's law which states that "the current passing through a,metallic conductor at constant temperature is directly proportional to the potential difference across its ends. Mathematically, E = IRt where;

E is the electromotive force

I is the total current in the circuit

Rt is total equivalent resistance.

Where E = 12volts

Rt can be gotten depending on the arrangements of the resistors which can either be in series or parallel.

If the resistors are in series, their equivalent resistance gives;

Rt = 4.0Ω+6Ω+8Ω+6Ω

Rt = 24Ω

The current I will be;

I = E/Rt = 12/24

I = 0.5A

If the connection is in series, the total current in the circuit will be 0.5A.

For resistance in parallel;

1/Rt = 1/4Ω+1/6Ω+1/8Ω+1/6Ω

1/Rt = 6+4+3+4/24

1/Rt = 17/24

Rt = 24/17Ω

I = E/Rt

I = 12/(24/17)

I = 12×17/24

I = 8.5A

If the connection is in parallel, the total current in the circuit will be 8.5A

8 0
2 years ago
Read 2 more answers
What is the minimum frequency of light necessary to emit electrons from titanium via the photoelectric effect?
erma4kov [3.2K]

<span>E = h x f </span>

<span>. . . then : </span>

<span>f = E / h </span>
<span>f = 4,41•10^-19 / 6,62•10^-34 </span>
<span>f = 6,66•10^14 Hz (s^-1) </span>


<span>b/ What is the wavelength of this light ? </span>
<span>- - - - - - - - - - - - - - - - - - - - - - - - - - - - </span>

<span>λ = c / f </span>
<span>λ = 3•10^8 / 6,66•10^14 </span>
<span>λ = 4,50•10^-7 m </span>
4 0
2 years ago
Read 2 more answers
You slip a wrench over a bolt. Taking the origin at the bolt, the other end of the wrench is at x=18cm, y=5.5cm. You apply a for
mart [117]

Answer:

The torque on the wrench is 4.188 Nm

Explanation:

Let r = xi + yj where is the distance of the applied force to the origin.

Since x = 18 cm = 0.18 cm and y = 5.5 cm = 0.055 cm,

r = 0.18i + 0.055j

The applied force f = 88i - 23j

The torque τ = r × F

So, τ = r × F = (0.18i + 0.055j) × (88i - 23j) = 0.18i × 88i + 0.18i × -23j + 0.055j × 88i + 0.055j × -23j

= (0.18 × 88)i × i + (0.18 × -23)i × j + (0.055 × 88)j × i + (0.055 × -22)j × j  

= (0.18 × 88) × 0 + (0.18 × -23) × k + (0.055 × 88) × (-k) + (0.055 × -22) × 0   since i × i = 0, j × j = 0, i × j = k and j × i = -k

= 0 - 4.14k + 0.0484(-k) + 0

= -4.14k - 0.0484k

= -4.1884k Nm

≅ -4.188k Nm

So, the torque on the wrench is 4.188 Nm

8 0
2 years ago
When boiling water, a hot plate takes an average of 8 minutes and 55 seconds to boil 100 milliliters of water. Assume the temper
alexandr1967 [171]

Answer:

90.9 seconds

Explanation:

m = Mass of liquid = Volume×Density

c = Specific heat

\Delta T = Change in temperature

t = Time taken

Room temperature = 75 °F

Converting to Celsius

(75-32)\times \frac{5}{9}=23.889\ ^{\circ}C

Heat required to raise the temperature of water

Q=mc\Delta T\\\Rightarrow Q=100\times 10^{-6}\times 1000\times 4186\times (100-23.889)\\\Rightarrow Q=31860.0646\ J

Power

P=\frac{Q}{t}\\\Rightarrow P=\frac{31860.0646}{8\times 60+55}\\\Rightarrow P=59.55152\ W

Efficiency of the plate

\frac{59.5512}{283}\times 100=21.04282\%

Heat required to raise the temperature of water

Q=mc\Delta T\\\Rightarrow Q=100\times 10^{-6}\times 784\times 2150\times (56-23.889)\\\Rightarrow Q=5412.63016\ J

P=\frac{Q}{t}\\\Rightarrow t=\frac{Q}{P}\\\Rightarrow t=\frac{5412.63016}{0.2104282\times 283}\\\Rightarrow t=90.9\ s

Time taken to heat the aceton is 90.9 seconds

4 0
2 years ago
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