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Kamila [148]
3 years ago
8

A solid object has a mass of 104 kg and a volume of 1,278 m3. What is its density?

Physics
1 answer:
MrMuchimi3 years ago
4 0
The density is 81.4 g/m3. Before you start plugging numbers into the density formula (D=M/V), you should convert 104 kg to grams, which ends up being 104,000 grams. Then you can plug in the 104,000 grams and 1,278 m3 into the formula. When you divide the mass by the volume, you get a really long decimal, which you can round to 81.4 g/m3, or whatever place your teacher wants you to round to.
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6 0
2 years ago
A 750 kg car is stalled on an icy road during a snowstorm. A 1000 kg car traveling eastbound at 13 m/s collides with the rear of
scZoUnD [109]

(a) The magnitude of the velocity of the 1000 kg car after the collision is 10.5 m/s.

(b) The direction of the velocity of the 1000 kg car after the collision is 8.2 ⁰ north west.

(c) The ratio of the kinetic energy of the two cars just after the collision to that just before the collision is 0.72.

<h3>Velocity of the 1000 kg after the collision</h3>

Apply the principle of conservation of linear momentum as follows;

<h3>Final velocity in x direction</h3>

m₁u₁  +  m₂u₂ = m₁v₁x  +  m₂v₂x

where;

  • m₁ is mass of 750 kg car
  • u₁ is initial velocity of 750 kg mass
  • m₂ is mass of 1000 kg car
  • u₂ is initial velocity of 1000 kg mass
  • v₁ is final velocity of 750 kg mass
  • v₂ is final velocity of 1000 kg mass

750(0) + 1000(13) = 750(4 cos 30)   +   1000v₂x

13000 = 2,598.1  +   1000v₂x

10,401.9 = 1000v₂x

v₂x  =  10.4 m/s

<h3>Final velocity in y direction</h3>

m₁u₁  +  m₂u₂ = m₁v₁y  +  m₂v₂y

750(0) + 1000(0) = 750(4 sin 30)   +   1000v₂y

0 = 1500 +  1000v₂y

v₂y  = -1500/1000

v₂y  = -1.5 m/s

<h3>Resultant final velocity</h3>

v = √(v₂ₓ² + v₂y²)

v = √[(10.4)² + (-1.5)²]

v = 10.5 m/s

<h3>Direction of the final velocity of 1000 kg car</h3>

tanθ = v₂y/v₂ₓ

tanθ = -1.5/10.4

tanθ =  -0.144

θ = arc tan(-0.144)

θ = 8.2 ⁰ north west

<h3>Kinetic energy of the cars before the collision</h3>

K.Ei = 0.5m₁u₁²  +  0.5m₂u₂²

K.Ei = 0.5(750)(0)²  +  0.5(1000)(13)²

K.Ei = 84,500 J

<h3>Kinetic energy of the cars after the collision</h3>

K.Ef = 0.5(750)(4)²  +  0.5(1000)(10.5)²

K.Ef = 61,125 J

<h3>Ratio of the kinetic energy</h3>

K.Ef/K.Ei = 61,125/84,500

K.Ef/K.Ei = 0.72

Thus, the magnitude of the velocity of the 1000 kg car after the collision is 10.5 m/s.

The direction of the velocity of the 1000 kg car after the collision is 8.2 ⁰ north west.

The ratio of the kinetic energy of the two cars just after the collision to that just before the collision is 0.72.

Learn more about kinetic energy here: brainly.com/question/25959744

#SPJ1

3 0
1 year ago
It is the obligation of researchers to review and comment on the research of other researchers. Please select the best answer fr
nydimaria [60]

Thorough inquiry and analysis of materials and sources to establish facts and reach new findings are known as resarch. False is the best answer from the choices provided

<h3>What is research?</h3>

Thorough inquiry and analysis of materials and sources to establish facts and reach new findings.

It is false that researchers are required to evaluate and remark on the work of other researchers. It is not their responsibility - they do not have to do it,

But they may if they want to and if the author allows them to. However, they are not compelled to do so by law or anything else. They do it simply out of goodwill or genuine interest.

Hence False is the best answer from the choices provided.

To learn more about the research refer to the link;

brainly.com/question/1596108

6 0
2 years ago
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