Advertisements
Advertisements
प्रश्न
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.
Advertisements
उत्तर
Given:
Mass on earth (me) = 5 kg, weight on earth (We) = 49 N,
acceleration due to gravity on moon (gm) = `9.8/6` m/s2 = 1.6333 m/s2
To find:
Mass (mm), weight (Wm) on moon
Wm = mmgm ...[From Formula]
The mass of the object is independent of gravity and remains unchanged, i.e., 5 kg.
From formula,
Wm = 5 × 1.6333
∴ Wm = 8.1665 N ≈ 8.17 N
On the moon, the mass of the object is 5 kg and the weight is 8.17 N.
APPEARS IN
संबंधित प्रश्न
A stone is released from the top of a tower of height 19.6 m. Calculate its final velocity just before touching the ground.
A stone is allowed to fall from the top of a tower 100 m high and at the same time another stone is projected vertically upwards from the ground with a velocity of 25 m/s. Calculate when and where the two stones will meet.
State whether the following statement is true or false :
A falling stone also attracts the earth.
Fill in the following blank with suitable word :
The acceleration due to gravity on the moon is about ………………of that on the earth.
Explain what is meant by the equation :
`g= Gxxm/r^2`
where the symbols have their usual meanings.
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.
Why does a sharp knife cut objects more effectively than a blunt knife ?
Name the force which pulled the apple off Isaac Newton’s tree.
What will be the weight of a person on earth, who weighs 9N on the moon?
A force of 15 N acts on a body of mass 2 kg. Calculate the acceleration produced.
Figure shows the velocity-time graph of a particle of mass 100 g moving in a straight line. Calculate the force acting on the particle.
(Hint : Acceleration = Slope of the v-t graph)
How are g and G realated ?
A body is projected vertically upward with an initial velocity u . If acceleartion due to gravity is g , the time for which it remains in air , is :
What force, in newton, your muscles need to apply to hold a mass of 5 kg in your hand? State the assumption.
In vacuum, all freely falling objects have the same force. Is it true?
Right or wrong sentence.
Free fall of an object does not depend on the mass of the object.
Write the acceleration due to gravity value on the surface of 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. |
- Complete the following statement by choosing the right option.
The stone held in the hand is stable because on it ......- two unbalanced forces are exerted.
- only the gravitational force of the earth is exerted.
- gravitational force of the earth is not exerted.
- two balanced forces are exerted.
- Why does free fall not happen on the earth?
- Why does the velocity of the object increase during the free fall?
- Which type of force exerts on the object during free fall?
- Why does free fall happen only in a vacuum?
Calculate the escape velocity on the surface of the moon given the mass and radius of the moon to be 7.34 × 1022 kg and 1.74 × 106 m respectively.
(Given: G = 6.67 × 10-11 Nm2/kg2)
When is free fall possible?
