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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

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.

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प्रश्न

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.

बेरीज
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उत्तर

1) Velocity on reaching the ground

v = u + gt

v = final velocity

u = initial velocity

t = time

g = gravitational acceleration.

Doing the substitution we have :

v = 0 + 10 × 1 = 10 m/s

= 10 m/s 

2) The height of the table

S = ut + 1/2gt²

Doing the substitution we have :

S = 0 × 1 + 1/2 × 10 × 1

s = 0 + 5

= 5 meters

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2018-2019 (March) Balbharati Model Question Paper Set 1

संबंधित प्रश्‍न

Which force is responsible for the moon revolving round the earth ?


State whether the following statement is true or false :
A falling stone also attracts the earth.


Give reason for the following :
The force of gravitation between two cricket balls is extremely small but that between a cricket ball and the earth is extremely large.


The values of g at six distances A, B, C, D, E and F from the surface of the earth are found to be 3.08 m/s2, 9.23 m/s2, 0.57 m/s2, 7.34 m/s2, 0.30 m/s2 and 1.49 m/s2, respectively.
(a) Arrange these values of g according to the increasing distances from the surface of the earth (keeping the value of g nearest to the surface of the earth first)
(b) If the value of distance F be 10000 km from the surface of the earth, state whether this distance is deep . inside the earth or high up in the sky. Give reason for your answer.


Why does a sharp knife cut objects more effectively than a blunt knife ?


Explain why, a wide steel belt is provided over the wheels of an army tank.


Name the force which stops you falling through the floor.


A stone is thrown vertically upwards with initial velocity u reaches a height ‘h’ before coming down. Show that the time taken to go up is the same as the time taken to come down.


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.


The value of acceleration due to gravity of earth :


The acceleration produced in a body by a force of given magnitude depends on


A force of 15 N acts on a body of mass 2 kg. Calculate the acceleration produced.


A car is moving with a uniform velocity 30 ms-1. It is stopped in 2 s by applying a force of 1500 N through its brakes. Calculate the following values :  The retardation produced in car.


Write scientific reasons.

The value of gravitational acceleration (g) decreases as we go deep inside the earth.


The mass of planet ‘X’ is four times that of the earth, and its radius is double the radius of the earth. The escape velocity of a body from the earth is 11.2 × 103 m/s. Find the escape velocity of a body from the planet ‘X’. 


Write a short note.

Free Fall


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.


Read the given passage carefully and answer the questions.

We know that the force of gravity due to the earth acts on each and every object. When we were holding the stone in our hand, the stone was experiencing this force, but it was balanced by a force that we were applying on it in the opposite direction. As a result, the stone remained at rest. Once we release the stone from our hands, the only force that acts on it is the gravitational force of the earth and the stone falls down under its influence. Whenever an object moves under the influence of the force of gravity alone, it is said to be falling freely. Thus the released stone is in a free fall. In free fall, the initial velocity of the object is zero and goes on increasing due to the acceleration due to the gravity of the earth. During free fall, the frictional force due to air opposes the motion of the object and a buoyant force also acts on the object. Thus, true free fall is possible only in a vacuum.
  1. Complete the following statement by choosing the right option.
    The stone held in the hand is stable because on it ......
    1. two unbalanced forces are exerted.
    2. only the gravitational force of the earth is exerted.
    3. gravitational force of the earth is not exerted.
    4. two balanced forces are exerted.
  2. Why does free fall not happen on the earth?
  3. Why does the velocity of the object increase during the free fall?
  4. Which type of force exerts on the object during free fall?
  5. Why does free fall happen only in a vacuum?

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