15. An astronaut on the moon has a 110 kg crate and a 230 kg crate. How do the forces required to liftyihe crates straight up on the moon compare with the forces required to lift them on Earth?​

Respuesta :

Explanation:

Mass of carte 1 is 110 kg and that of crate 2 is 230 kg

Force required to lift crates is equal to its crate i.e. W = mg

On Moon, a = 1.625 m/s²

Weight of crate 1, W = 110 kg × 1.625 m/s²  = 178.75 N

Weight of crate 2, W = 230 kg × 1.625 m/s²  = 373.75 N

On Earth, g = 9.8 m/s²

Weight of crate 1, W = 110 kg × 9.8 m/s²  = 1078 N

Weight of crate 2, W = 230 kg × 9.8 m/s²  = 2254 N

Hence, this is the required solution.

Lanuel

The forces required to lift the crates straight up on the Moon is lesser than the forces required to lift them on Earth.

Given the following data:

  • Mass A = 110 kg
  • Mass B = 230 kg

Scientific data:

  • Acceleration due to gravity on Earth = 9.8 [tex]m/s^2[/tex]
  • Acceleration due to gravity on Moon = 1.6 [tex]m/s^2[/tex]

The formula for weight.

Mathematically, the weight of an object is given by the formula;

[tex]Weight = mg[/tex]

Where;

  • m is the mass of the object.
  • g is the acceleration due to gravity.

For the weight on Moon:

[tex]Weight \;A= 110 \times 1.6[/tex]

Weight A = 176 Newton.

[tex]Weight \;B=230 \times 1.6[/tex]

Weight B = 368 Newton.

For the weight on Earth:

[tex]Weight \;A= 110 \times 9.8[/tex]

Weight A = 1,078 Newton.

[tex]Weight \;B=230 \times 9.8[/tex]

Weight B = 2,254 Newton.

In conclusion, the forces required to lift the crates straight up on the Moon is lesser than the forces required to lift them on Earth.

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