Someone is not paying attention while speeding down the tramway. Their truck has a mass of 2000 kg. Going a whopping 34.1 m/s (76.3 mph) the truck crashes into a stationary Corolla (mass of 1100 kg). If the truck comes to a complete stop, how fast does the Corolla slide forward when it is hit

Answer:

9.2 V

Explanation:

The RMS value of an AC is the effective value of a varying voltage or current in DC, that is the equivalent value of the AC which produces the same effect as an DC. For example if a motor is supplied by a 9V RMS voltage, it will rotate as if the voltage applied was 9V DC.

The RMS value is given by:

RMS voltage = Peak voltage * 1/√2

Given that the maximum voltage should not exceed 13 V, this means that the peak voltage is 13 V. The maximum RMS voltage is:

RMS voltage = Peak voltage * 1/√2 = 13 * 1/√2 = 9.2 V

Answer:

The total resistance is 106 Ω and the current in the circuit is 0.11 A.

Explanation:

Given that,

Voltage of the battery, V = 12 V

Resistors 34 Ω, 42Ω, and 30Ω are connected in series.

The total resistance is given by :}

R = 34 + 42 +30

= 106Ω

Let I is the total current in the circuit. Using ohm's law to find it such that,

[tex]I=\dfrac{V}{R}\\\\I=\dfrac{12}{106}\\\\I=0.11\ A[/tex]

Hence, the total resistance is 106 Ω and the current in the circuit is 0.11 A.

Answer:

convex       f = 33 cm

concave     f = -33 cm

Explanation:

In geometric optics the focal length of a lens is given by

         [tex]\frac{1}{f} = ( n-1) \ (\frac{1}{R_2} - \frac{1}{R_1} )[/tex]

where n is the refractive index of the medium, R₁ and R₂   are the focal lengths on each side of the lens.

In this case one of the sides is flat so its focal length is infinite, if the lens is convex the focal length is positive, convergent lens and if it is concave the focal length is negative, divergent lens.

         [tex]\frac{1}{f} = (n-1) \ \frac{1}{R}[/tex]

the refractive index of the glass is n = 1.5

let's calculate

         1 / f = (1.5 -1) 1 / 16.5

         1 / f = 0.03030

          f = 33 cm

convex       f = 33 cm

concave     f = -33 cm

Answer:

B. Frequency

Explanation:

Answer:

1.20Nm

Explanation:

Given data

Force= 53.5N

Perpendicular distance= 2.25cm= 2.25/100= 0.0225m

The expression for the torque is given as

Torque= Force* Perpendicular distance

Torque= 53.5*0.0225

Torque= 1.20Nm

Hence the toque produced is  1.20Nm

Answer:

I think concave

Explanation:

Answer:

Explanation:

Magnetic field due to a long current carrying wire can be calculated as follows .

B = 10⁻⁷ x 2I / d where B is magnetic field , I is current .

The wire is along x -axis and the point is on y-axis at a distance of 0.8 m

Magnetic field at point of .8 m on y -axis

B₁ = 10⁻⁷ x 2 x 39 / 0.8  

= 97.5 x 10⁻⁷ T .

Second wire is parallel to  z-axis and passes through point on y-axis at a distance of 4.4 m . So the given point is at a distance of 4.4 - .8 = 3.6 m

Magnetic field

B₂ = 10⁻⁷ x 2 x 47 / 3.6  

= 26.11  x 10⁻⁷ T .

Both these magnetic fields are perpendicular to each other so

Resultant magnetic field

B = √ ( 26.11² + 97.5² ) x 10⁻⁷ T

= √( 681.73 + 9506.25 ) x 10⁻⁷ T

= √( 10187.98) x 10⁻⁷ T

= 100.93 x 10⁻⁷ T .

Answer and Explanation:

The answer is the second answer choice. This is because we humans can rebuild or build memories during the day, it doesn't have to happen via sleep.

The first answer choice IS a reason because you aren't working your brain as hard, so your brain has time to heal. A mouse study suggests that sleep helps restore the brain by flushing out toxins that build up during waking hours.

The third answer choice IS a reason because of the idea of Wish Fulfillment: Sigmund Freud suggested that dreams provide a psychic safety valve to discharge unacceptable feelings. The dream's manifest (apparent) content may also have symbolic meanings (latent content) that signify our unacceptable feelings.

The forth answer choice IS a reason because of the idea of Cognitive Development: Some researchers argue that we dream as a part of brain maturation and cognitive development.

#teamtrees #PAW (Plant And Water)

Answer: [tex]1.67\ V[/tex]

Explanation:

Given

Work function [tex]\phi =1.17\ eV[/tex]

The wavelength of the light is [tex]\lambda =437\ nm[/tex]

Energy associated with this wavelength is

[tex]E=\dfrac{hc}{\lambda}\\\\\Rightarrow E=\dfrac{1.99\times 10^{-25}}{437\times 10^{-9}}\\\\\Rightarrow E=4.553\times 10^{-19}\ J\\\\\Rightarrow E=2.841\ eV[/tex]

Stopping potential is

[tex]V=\dfrac{E-\phi }{e}\\\\\Rightarrow V=\dfrac{\left(2.841-1.17\right)e}{e}\\\\\Rightarrow V=1.67\ V[/tex]

Answer:

  I = 12 A

Explanation:

For this exercise we use the relationship that voltage is proportional to the product of current and resistance

           V = I R

            I = V / R

let's calculate

            I = 120/10

            I = 12 A

Answer:

the ratio Kf : Ki is  1 / 4 or 1 : 4

Explanation:

Given the data in the question;

Since this is a perfectly inelastic collision, momentum is conserved;

[tex]P_{initial[/tex] = [tex]P_{final[/tex]

Now for BLOCK 1

mass = M₁ = M

KE = K[tex]_i[/tex]

[tex]\frac{1}{2}[/tex]mv[tex]_i[/tex]₁² = K[tex]_i[/tex]

we solve for v[tex]_i[/tex]₁

mv[tex]_i[/tex]₁² = 2K[tex]_i[/tex]

v[tex]_i[/tex]₁ = √( 2K[tex]_i[/tex] / m )

for BLOCK 2

mass = M₂ = 3m and since its at rest v[tex]_i[/tex]₂ = 0

Now after the collision; Total mass = m + 3m = 4m

KE = K[tex]_f[/tex]

[tex]\frac{1}{2}[/tex]( 4m )v[tex]_f[/tex]² = K[tex]_f[/tex]

(2m)v[tex]_f[/tex]² = K[tex]_f[/tex]

v[tex]_f[/tex] = √(K[tex]_f[/tex] / 2m)

so since [tex]P_{initial[/tex] = [tex]P_{final[/tex]

[m₁ × v[tex]_i[/tex]₁] + [m₂ × v[tex]_i[/tex]₂] = ( m + 3m ) × v[tex]_f[/tex]

so

[ m₁ × √( 2K[tex]_i[/tex] / m ) ] + [ m₂ × 0 ] = ( m + 3m ) × [ √(K[tex]_f[/tex] / 2m) ]

[ m × √( 2K[tex]_i[/tex] / m ) ] = 4m × [ √(K[tex]_f[/tex] / 2m) ]

square both side

m² ×  2K[tex]_i[/tex] / m  = (4m)² × K[tex]_f[/tex] / 2m

m² ×  2K[tex]_i[/tex] / m  = 16m² × K[tex]_f[/tex] / 2m

m × 2K[tex]_i[/tex]  = 8m × K[tex]_f[/tex]

2K[tex]_i[/tex]  =  8K[tex]_f[/tex]

K[tex]_f[/tex] = 2K[tex]_i[/tex] / 8

K[tex]_f[/tex] / K[tex]_i[/tex] = 2 / 8

K[tex]_f[/tex] / K[tex]_i[/tex] = 1 / 4

Therefore,  the ratio Kf : Ki is  1 / 4 or 1 : 4

The ratio of the final kinetic energy to initial kinetic energy of the blocks is determined as 1:4.

The speed of the two blocks after collision is determined by applying the principle of conservation of linear momentum as follows;

m1u1 + m2u2 = v(m1 + m2)

mu1 + m2(0) = v(m + 3m)

mu1 = v(4m)

u1 = 4v

[tex]\frac{K.E_f}{K.E_i} = \frac{0.5(4m)v_f^2}{0.5(m)u_1^2} \\\\\frac{K.E_f}{K.E_i} = \frac{4(v_f)^2}{u_1^2} \\\\\frac{K.E_f}{K.E_i} = \frac{4v_f^2}{(4v_f)^2} = \frac{4v_f^2}{16v_f^2} = \frac{1}{4} = 1:4[/tex]

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Answer:

19

Explanation:

I legit did this and it took 19.

Answer:

Un'auto si muove lungo un percorso rettilineo con velocità variabile come mostrato in figura. Quando l'auto è in possesso di A, la sua velocità è 10 ms-1 e quando è in posizione B, la sua velocità è 20 ms-1. Se l'auto impiega 5 secondi per spostarsi da A a B, trova l'accelerazione dell'auto.

Explanation:

A tennis ball and a bowling ball can have the same momentum. This is because, it depends upon both the mass of object and velocity of object.

Momentum can be defined as the mass in motion. All objects which have mass so, if an object is moving in space, then it has some amount of momentum which has its mass in motion. The amount of momentum which an object has depend upon two variables which include how much stuff is moving that is the mass of object and how fast the stuff is moving that is the speed.

A fast-moving tennis ball may have the same momentum as a slow-bowling ball. It is important to understand here that the momentum of an object which depends on the product of the mass and velocity of an object, but not the mass or the velocity alone.

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Answer: 708 N

Explanation:

Given

At rest, Elevator reads 588 N

When it starts moving upward at [tex]2\ m/s^2[/tex], apparent weight changes

i.e. weight can be given by

[tex]\Rightarrow W'=m(g+a)\\\Rightarrow W'=mg+mg\cdot \dfrac{a}{g}\\\\\Rightarrow W'=W\left(1+\dfrac{a}{g}\right)\\\\\Rightarrow W'=588\left(1+\dfrac{2}{9.8}\right)\\\\\Rightarrow W'=707.99\approx 708\ N[/tex]

The apparent weight is 708 N

Answer:

1700 kg

Explanation:

Let’s use conservation of momentum

32.5 * 388 = 7.42 * mc

mc = 1699.46

mc = 1700 kg

Answer:

Gy = 3.14x10⁻⁴ Gy

Explanation:

To get the dose in Gy we need to use the following expression:

Gy = E / m  (1)

Where:

Gy: dose

E: energy absorbed per atom

m: mass of the human body.

We don't have the energy per atom, but we can calculate that by following the next procedure.

First, let's determine the number of atoms of potassium in our body. For that we need to determine the moles in the 140 g of potassium, with the molecular mass and then, use the avogadro's number:

moles = m/MM

moles = 140 / 39.1 = 3.58 moles

N° atoms = 3.58 * 6.02x10²³ atoms = 2.16x10²⁴ atoms of K.

The abundance of the ⁴⁰K is 0.012% so the atoms of this isotope would be:

N = 2.16x10²⁴ * (0.012/100) = 2.59x10²⁰ atoms of ⁴⁰K.

With this number, and the half life rate, we can determine the number of decay atoms in a year (λ) using the following expression:

λ = ln2 / t(1/2)

λ = ln2 / 1.3x10⁹ = 5.33x10⁻¹⁰ year⁻¹

This number, multiplied by the number of atoms:

R = 5.33x10⁻¹⁰ * 2.59x10²⁰ = 1.38x10¹¹ atoms/year

Now, each atom of K gives an average energy of 1 MeV, so with the atoms we have:

E = 1.38x10¹¹ * 1x10⁶ eV = 1.38x10¹⁷ eV

This value can be expressed in Joules so:

E = 1.38x10¹⁷ eV * (1 J / 6.24x10¹⁸ eV) = 0.022 J

Finally, we can use (1) to get the dose in Gy:

Gy = 0.022 / 70

Hope this helps

Answer:

Explanation:

it would be 3 because ju divide 12 by 4

Answer:

Explanation:

Geostationary satellites orbit around the Earth at the same rate as the Earth rotates so that the satellites are over the same spot on Earth all the time.

They are called geostationary due to their movement.

Geostationary satellites are a key tool for scientists to monitor and observe the Earth's atmosphere.  

Answer:

The correct answer is -

B. The velocity would double (v = 2v).

C. The wavelength would be half (λ = λ/2).

Explanation:

A wave has a speed or velocity that is related to the wavelength of the wave and the frequency of the wave and this relationship can be represented by the following equation-

Wave velocity V = Wavelength (λ) * Frequency (f)

Frequency (f) = Velocity (V) / Wavelength(λ).

The frequency and wavelength are inversely proportional and frequency and velocity are directly proportional to each other.

So, if f = 2f then,

putting value in the formula,

2f = 2v/λ, which means, f = 2v and f = λ/2

when the frequency is doubled, the wavelength will be halved and velocity will be doubled.

F = Kq₁q₂/(r)²

K is a constant

R is the distance between them

F = 9.0 E9 × 1.0 E-6 × 1.0 E-6/(0.30)²

= 9.0E-3/0.30² = 9.0E-3/0.09 = 0.1 N

The electrostatic force of repulsion between two charges can be determined using Coulomb's law of electrostatic force. The force of repulsion between the point charges of magnitude 1 ×10 ⁻⁶ C separated by 0.30 m is 0.1 N.

According Coulomb's law of electrostatic forces, the force between two charges q1 and q2 separated by a distance of r meters is given by the expression:

F =  K q1 q2/r²

Where, K is Coulomb's Constant equal to  9.0 ×10⁹ Nm²/C²

Given q1 = q2 = 1 ×10 ⁻⁶ C

r = 0.30 m

k = 9.0 ×10⁹ Nm²/C².

Then the electrostatic force of repulsion between the two point charges is calculated as follows:

F = 9.0 ×10⁹ Nm²/C² × 1 ×10 ⁻⁶ C × 1 ×10 ⁻⁶ C/ (0.30 m )²

  = 0.1 N.

Therefore, the repulsive force exerted on two point charges that each carry 1.0 E-6 C of negative charge and are 0.30 meters apart is 0.1 N.

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Answer:

P = 756.84 Watts

Explanation:

As the tension is stationary or innitial, T₀ = 31 N, the mean would be:

T₁ + T₂ / 2 = T₀    (1)

T₁ + T₂ = 2 * 31 = 62 N

Now, with the following expression we can determine the linear speed:

V = πWD  (2)

W: angular speed of the wheel  (rev/s)

D: diameter of the wheel (in meters)

W = 1547 rev/min * (1 min/60 s) = 25.78 rev/s

V = π * 25.78 * 0.379 = 30.695 m/s

We also know that:

T₁ / T₂ = exp (μθ)

T₁ = T₂ exp(μθ)   (3)

We already have those values so replacing:

T₁ = T₂ exp(0.3 * 161 * π/180)

T₁ = 2.32T₂   (4)

We can now replace (4) in (1) like this:

T₁ + T₂ = 62 N

2.32T₂ + T₂ = 62

3.32T₂ = 62

T₂ = 18.67 N

Which means that T₁:

T₁ = 2.32(18.67)

T₁ = 43.33 N

Finally, the power can be determined using the following expression:

P = (T₁ - T₂)V  (5)       Replacing we have:

P = (43.33 - 18.67)*30.695

Hope this helps

Answer: 0.390625 grams

Explanation:

A half-life of an element is the amount of time that it takes for half the mass of the element to decay.

Gold-198 having a half-life of 2.5 days therefore means that every 2.5 days, the mass is cut in half.

If there are 20 days, find out how many half-life periods there are:

= 20 / 2.5

= 8 periods

The half life is:

= Original mass * 0.5^number of half-life periods

= 100 * 0.5⁸

= 0.390625 grams

Answer:

Due to potential difference (elaborated in explanation)

Explanation:

When a bird sits on a power line, its whole body is in contact with the power line. It does not have any contact with the ground or anything at a lower potential. Hence, the current does not flow through the bird's body, because there is no potential difference available as a driving force.

Now, when a person touches the power line his hand is at a higher potential provided by the power line, while the rest of his body is connected to the ground, usually through legs. The current always looks for a path from high potential to low potential. Therefore, the body of the person serves as the path for the current. Heavy current flows through the body and the person die within split seconds.

Answer: [tex]0.00680\ m^3[/tex]

Explanation:

Given

The weight of the object, when submerged in the water is [tex]980\ N[/tex]

When it is submerged in the bromine liquid, it weighs [tex]840\ N[/tex]

Suppose,

[tex]\rho=\text{Density of object}\\\rho_w=\text{Density of water}\\\rho_b=\text{Density of bromine}\\V=\text{Volume of the object}[/tex]

for water,

[tex]\Rightarrow V(\rho -\rho_w)g=980\quad \ldots(i)[/tex]

For bromine

[tex]\Rightarrow V(\rho-\rho_b)g=840\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{\rho-1000}{\rho-3100}=\dfrac{980}{840}\\\\\Rightarrow 840\rho -840\times 1000=980\rho-980\times 3100\\\\\Rightarrow 140\rho=(3038-840)\cdot 1000\\\\\Rightarrow \rho=15,700\ kg/m^3[/tex]

Put the density value in equation (i)

[tex]\Rightarrow V(15,700-1000)\cdot 9.8=980\\\\\Rightarrow V=\dfrac{100}{14,700}\\\\\Rightarrow V=0.00680\ m^3[/tex]

Answer:

(a) The work function is 1.86 eV.

(b) The cut off frequency is 450 THz.

(c) The stopping potential is 1.16 V.

Explanation:

incident wavelength = 620 nm

Kinetic energy, K = 0.14 eV

According to the photoelectric equation

E = W + KE

where, W is the work function, KE is the kinetic energy.

(a) Let the work function is W.

[tex]W = E - KE\\W = \frac{h c}{\lambda }- KE\\W =\frac{6.63\times 10^{-34}\times3\times 10^{8}}{620\times 10^{-9}\times 1.6\times 10^{-19}}-0.14\\\\W =1.86 eV[/tex]

(b) Let the cut off frequency is f.

W = h f

[tex]1.86\times 1.6\times 10^{-19} = 6.63\times 10^{-34}\times f\\f = 4.5\times 10^{14} Hz =450 THz[/tex]

(c) Let the stopping potential is V.

[tex]E = W + eV\\\frac{6.63\times 10^{-34}\times 3\times 10^{8}}{420\times 10^{-9}\times 1.6\times 10^{-19}}=1.8 + eV\\\\V = 1.16 V[/tex]