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Ad libitum [116K]
2 years ago
8

a rock of mass of 540 g in the air is found to have an apparent mass of 342 g when submerged in water (a) calculate the weight o

f the Rock given that the acceleration of the air g 10 m / s² to ignore the air resistance​
Physics
1 answer:
kupik [55]2 years ago
7 0

Answer: 5.4 N

Explanation:

Given

mass of rock in the air  is 540 g

Apparent mass of 342 gm when submerged in water

Weight of the rock is the product of mass and accleration due to gravity

\Rightarrow W=mg\\\Rightarrow 0.540\times 10=5.4\ N

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a) Density of the liquid: 823.5kg/m^3

b) Weight of the liquid: 1372 N

Explanation:

Translation of the text:

<em>"A full tank with liquid weighs 175kg. Which is 5 times the mass of the empty vessel. Knowing that the inside volume of the vessel is 0.17kl, calculate: </em>

<em>a) the density of the liquid; </em>

<em>b) the weight of the liquid."</em>

a)

We know that the full tank with liquid has a total mass of M = 175 kg. We can write the total mass as

M=m_L + m_V (1)

where

m_L is the mass of the liquid

m_V is the mass of the vessel

We also know that the total mass M is 5 times the mass of the empty vessel, so we have:

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Therefore, we can find the mass of the liquid only using (1):

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The density of the liquid is given by

d=\frac{m}{V}

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b)

The weight of a body is given by

F=mg

where

m is its mass

g is the acceleration due to gravity

For the liquid in this problem, we have

m = 140 kg (mass)

g=9.8 m/s^2 (acceleration due to gravity)

Therefore, its weight is

F=(140)(9.8)=1372 N

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Engineers are trying to improve a race car. Their goal is to increase the acceleration of the car using the same engine. Which c
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