Question

If a body is throne vertically upwards with a vilocity of 36 km/h covers hight of 200m in 10 seconds. Find G​

Answer 1

Explanation:

$\huge\underline\mathfrak{Answer}$

GIVEN

Initial velocity,u = 36 km/h

= 36 × 5/18 m/s

= 10 m/s.

height,h = 200m

time,t = 10 s

TO FIND

The value of g

From the equation of motion,

$s = ut + \frac{1}{2} g {t}^{2}$

Substituting the values,

$200 = 10(10) + \frac{1}{2} g {(10)}^{2}$

$200 = 100 + 50g$

$50g = 200 - 100$

$50g = 100$

$g = \frac{100}{50}$

$g = 2 {ms}^{ - 2}$

HOPE IT HELPS YOU

Answer 2

Question :-

If a body is thrown vertically upwards with a velocity of 36 km/hr covers a height of 200 meters in 10 seconds . Find g

Answer :-

Given :-

If a body is thrown vertically upwards with a velocity of 36 km/hr covers a height of 200 meters in 10 seconds .

Required to find :-

• Value of g ?

Equation used :-

v² - u² = 2as

Solution :-

Given data :-

If a body is thrown vertically upwards with a velocity of 36 km/hr covers a height of 200 meters in 10 seconds .

we need to find the value of g ?

So,

From the given data we can conclude that ;

• Initial velocity of the body = 36 km/hr

• Height = 200 meters

• Time = 10 seconds .

Since, the time , height are in meters , seconds where as the initial velocity is in km/hr .

So,

Let's convert the initial velocity from km/hr into m/s

we know that

1 km/hr = 5/18 m/s

This implies ;

36 km/hr = ? m/s

=> 36 x 5/18

=> 2 x 5

=> 10 m/s

Hence,

• Initial velocity = 10 m/s

Using the equation of motion ;

i.e. s = ut + ½ at²

Since, we need to find the value of g

where g is known to be as acceleration due to gravity .

So, the equation of motion thus becomes as ;

s = ut + ½ gt²

200 = 10 x 10 + ½ x g x 10 x 10

200 = 100 + ½ x g x 10 x 10

200 = 100 + ½ x g x 100

200 = 100 + g x 50

200 = 100 + 50g

200 - 100 = 50g

100 = 50g

50g = 100

g = 100/50

g = 2 m/s²

The value of g is positive when the motion of the stone is in the direction of acceleration due to gravity .

The value of acceleration due to gravity ( g ) is negative when the motion of the stone is opposite due to g .

Therefore,

Value of g = 2 m/s² ✅