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love history [14]
3 years ago
13

A child in a boat throws a 4.5kg package out horizontally with a speed of 13 m/s. Calculate the velocity of the boat immediately

after, assuming it was initially at rest. The mass of the child is 24 kg and the mass of the boat is 53 kg.
Physics
1 answer:
Varvara68 [4.7K]3 years ago
4 0

Answer:

0.78m/s

Explanation:

Now the momentum ensued by the boy throwing the package Is

Mass of package × velocity of package =4.5×13=58.5m/s

This momentum initiated a momentum on the boy-boat system

Total mass of the boy-boat system is 24+53=75kg

Let the velocity ensued by the boat be v.

Hence from conservation of momentum

58.5 =75×v

v= 58.5/75= 0.78m/s

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Find the rms current delivered by the power supply when the frequency is very large. Answer in units of A.
Verizon [17]

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The rms current is 0.3112 A.

Explanation:

Given that,

Suppose, The capacitance is 170 μF and the inductance is 2.94 mH. The resistance in the top branch is 278 Ohms, and in the bottom branch is 151 Ohms. The potential of the power supply is 47 V .

We know that,

When the frequency is very large then the capacitance can be treated as a short circuit and inductance as open circuit.

So,

We need to calculate the rms current

Using formula of current

I=\dfrac{V}{R}

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8 0
2 years ago
Two cylindrical resistors are made from same material and have the same length. When connected across the same battery, one diss
Ilia_Sergeevich [38]

Answer:

\frac{d_2}{d_1} = \sqrt2 = 1.41

Explanation:

As resistor is connected to the battery of constant EMF then the power across the resistor is given as

P = \frac{E^2}{R}

now if two resistors are made up of same material and of same length then due to different cross sectional area they both have different resistance

Due to different resistance they both will have different power

Since power is inversely depends on the resistance

So if the power is twice that of the other then the resistance must be half

so we have

R_1 = \rho \frac{L}{A_1}

R_2 = \rho\frac{L}{A_2}

since one resistance is half that of other resistance

So the area of one must be twice that of other

so we have

\frac{A_2}{A_1} = 2

\frac{\pi d_2^2}{\pi d_1^2} = 2

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8 0
3 years ago
Which of the following are properties of a conductor in electrostatic equilibrium? The force on a charge near the conductor is z
ipn [44]

Answer:

The electric field inside the conductor is zero.

Explanation:

In electrostatic equilibrium charges are assumed to be in rest. Therefore no current.

I = 0

From the ohm's law

ΔV= IR = 0

⇒ΔV =0

Therefore, potential V is same through the conductor.

Also, E = -ΔV d = 0

Hence, The electric field inside the conductor is zero.

7 0
3 years ago
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