MyQuestionIcon

2

You visited us 2 times! Enjoying our articles? Unlock Full Access!

Derivation of Position-Time Relation by Graphical Method

An object tak...

Question

An object takes $5 s e c$ to reach the ground from a height of $5 m$ on a planet. What is the value of $g$ on the planet?

Open in App

Solution

Here,
$u = 0 t = 5 s h = 5 m$
Using second equation of motion,
$s = u t + \frac{1}{2} a t^{2}$
$5 = (1 / 2) g \times 25$
$=> g = 0.4 m / s^{2}$

Suggest Corrections

thumbs-up

1

Similar questions

An object takes $5 s$ to reach the ground from a height of $5 m$ on a planet. What is the value of $g$ on the planet?

Q. If it is safe to jump from a height of

2 m

on to the earth, what would be the safe height on a planet where the value of '

g

1.96 m s^{- 2}

?

Q. A freely falling body takes

2

seconds to reach the ground on a planet when it is dropped from, a height of

8 m

. If the period of a simple pendulum is

2

seconds on that planet then its length is:

Q. Solve the following examples.

a. An object takes 5 s to reach the ground from a height of 5 m on a planet. What is the value of g on the planet?

b.The radius of planet A is half the radius of planet B. If the mass of A is M_A, what must be the mass of B so that the value of g on B is half that of its value on A?

c. The mass and weight of an object on earth are 5 kg and 49 N respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is 1/6th of that on the earth.

d. An object thrown vertically upwards reaches a height of 500 m. What was its initial velocity? How long will the object take to come back to the earth? Assume g = 10 m/s²

e. A ball falls off a table and reaches the ground in 1 s. Assuming g = 10 m/s², calculate its speed on reaching the ground and the height of the table.

f. The masses of the earth and moon are 6 × 10²⁴ kg and 7.4 × 10²² kg, respectively. The distance between them is 3.8 × 10⁵ km. Calculate the gravitational force of attraction between the two? Use G = 6.7 × 10^–11 N m² kg^–2

g. The mass of the earth is 6 × 10²⁴ kg. The distance between the earth and the sun is 1.5 × 10¹¹ m. If the gravitational force between the two is 3.5 × 10²² N, what us the mass of the sun? Use G = 6.7 × 10^–11N m² kg^–2

Q. On a planet, a body dropped from a height of 8 m, reaches the ground in 2 seconds. If the length of a simple pendulum on that planet is 1 m, the period of oscillation is:

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Equations of Motion

PHYSICS

Watch in App

explore_more_icon

Explore more

Derivation of Position-Time Relation by Graphical Method

Standard IX Physics

Join BYJU'S Learning Program

CrossIcon