Physics, asked by mammunvc972, 9 months ago

An Astronaut drops an object from a height of 2m and measures that it falls to the "ground" in 1.08 seconds. What is the value of "g" that can be calculated from this data?

Answers

Answered by Anonymous
30

Given:-

  • Initial Velocity = 0m/s. (as the object was in rest)

  • Height from the object falls = 2m.

  • Time taken to fall = 1.08s.

To Find:-

  • The Value of "g" i.e, Acceleration.

FORMULAE USED

  • S = ut + ½ × a × t²

Where,

S = Distance

u = initial Velocity

a = Acceleration

t = Time

Now,

S = ut + ½ × a × t²

S = 0 × t + ½ × a × (1.08)²

S = 0 + ½ × 1.664 × a

S = 0.832 × a

2 = 0.832a

a = 2/0.832

a = 2.4m/s-²

Hence, The Value of "g" is 2.4m/.

More Information

  • The Value of g at the surface of the earth is 9.8m/s².

  • The Value of "g" at the center of the earth is zero.

  • The value of "g" is minimum in equator and maximum in Pole.

Answered by ıtʑFᴇᴇʟɓᴇãᴛ
22

\mathcal{\huge{\fbox{\fbox{\red{Question\:?}}}}}

An Astronaut drops an object from a height of 2m and measures that it falls to the "ground" in 1.08 seconds. What is the value of "g" that can be calculated from this data?

\mathcal{\huge{\fbox{\fbox{\green{Answer:-}}}}}

The value of "g" that can be calculated from the given data is 2.4 ms-².

\mathcal{\huge{\fbox{\fbox{\purple{Solution:-}}}}}

\mathtt{\huge{\underline{Given:-}}}

  • An Astronaut drops an object from a height of 2m and measures that it falls to the "ground" in 1.08 seconds.

\mathtt{\huge{\underline{To\:Find:-}}}

  • The value of "g" that can be calculated from the given data.

\mathtt{\huge{\underline{Calculation:-}}}

According to the question,

  • An object is dropped from a height of 2m by an astronaut.

  • It measures that it falls to the "ground" in 1.08 seconds.

We know ,

S = ut + ½ at²

Our given,

  • Distance S = 2 meters

  • Initial velocity u = 0

  • Acceleration a = ?

  • Time t = 1.08 seconds

Putting in the equation,

S = ut + ½ at²

=> 2 = 0 × 1.08 + ½ . a . (1.08)²

=> 2 = 0 + ½ . a. 1.17

=> a = 2 × 0.832

=> a = 2.4ms-²

=> a = 2.4 ms-²

The value of g by given data is 2.4 ms-² .

________________________________

Similar questions