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koban
3 months ago
12

A 100 cm3 block of lead weighs 11N is carefully submerged in water. One cm3 of water weighs 0.0098 N.

Physics
1 answer:
Keith_Richards [3.2K]3 months ago
3 0

#1

The volume of lead measures 100 cm^3

with a density of lead at 11.34 g/cm^3

. Thus, the mass of the lead block equals density multiplied by volume

m = 100 * 11.34 = 1134 g

m = 1.134 kg

Therefore, its weight in air is noted as

W = mg = 1.134* 9.8 = 11.11 N

Next, the buoyant force acting on the lead is defined as

F_B = W - F_{net}

F_B = 11.11 - 11 = 0.11 N

We know that

F_B = \rho V g

0.11 = 1000* V * 9.8

After solving, we find

V = 11.22 cm^3

(ii) This corresponding volume of water exerts the same weight as the buoyant force, resulting in 0.11 N

(iii) The buoyant force measures 0.11 N

(iv) The lead block sinks in water due to its density being greater than that of water.


#2

The buoyant force acting on the lead block counterbalances its weight

F_B = W

\rho V g = W

13* 10^3 * V * 9.8 = 11.11

V = 87.2 cm^3

(ii) This volume of mercury corresponds to the buoyant force weight, confirming that the block floats within mercury, resulting in 11.11 N as its weight.

(iii) The buoyant force is recorded as 11.11 N

(iv) Given that lead's density is less than mercury's, the lead will float in the mercury medium.


#3

Indeed, an object that has lesser density than a liquid will float; otherwise, it will sink in the liquid.

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Response:

The acceleration of car 2 is four times that of car 1.

Rationale:

Centripetal acceleration occurs when an object travels in a circular route. It can be expressed as:

a=\dfrac{v^2}{r}

In this scenario, two race cars are moving at consistent speeds around a circular course. Both automobiles are located at an equal distance from the center, but car 2 is operating at twice the speed of car 1.

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\dfrac{a_1}{a_2}=\dfrac{v_1^2}{v_2^2}

1 and 2 represent the first and second cars, respectively.

v_2=2v_1

Consequently,

\dfrac{a_1}{a_2}=\dfrac{v_1^2}{(2v_1)^2}\\\\\dfrac{a_1}{a_2}=\dfrac{v_1^2}{4v_1^2}\\\\\dfrac{a_1}{a_2}=\dfrac{1}{4}\\\\a_2=4\times a_1

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4 0
3 months ago
If an electronic circuit experiences a loss of 3 decibels with an input power of 6 watts, what would its output power be, to the
Yuliya22 [3333]

Answer:

The output power of the circuit is 3 Watts.

Given:

a loss in decibels = 3 dB

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To find:

What is the output power?

Formula used:

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Solution:

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Output power = 3 Watts

Therefore, the output power of the circuit is 3 Watts.

4 0
3 months ago
Read 2 more answers
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2 months ago
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