Advertisements
Advertisements
प्रश्न
Write scientific reasons.
The value of gravitational acceleration (g) decreases as we go deep inside the earth.
Advertisements
उत्तर
- The acceleration due to gravity (g) on earth’s surface is given as g = `"GM"/"R"^2`. The value of g depends on the mass M of the earth and the radius R of the earth.
- As we go inside the earth, our distance from the centre of the earth decreases and no longer remains equal to the radius of the earth (R).
- Along with the distance, the part of the earth which contributes towards the gravitational force felt also decreases, decreasing the value of (M).
- Due to the combined result of a change in R and M, the value of g decreases as we go deep inside the earth.
APPEARS IN
संबंधित प्रश्न
Gravitational force acts on all objects in proportion to their masses. Why then, a heavy object does not fall faster than a light object?
A ball thrown up vertically returns to the thrower after 6 s. Find
- the velocity with which it was thrown up,
- the maximum height it reaches, and
- its position after 4 s.
State whether the following statement is true or false :
The acceleration due to gravity acting on a freely falling body is directly proportional to the mass of the body.
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.
Explain why, if a stone held in our hand is released, it falls towards the earth.
Explain why, the tip of a sewing needle is sharp.
Solve the problem.
If the mass of a planet is eight times the mass of the Earth and its radius is twice the radius of the Earth, what will be the escape velocity for that planet?
What will be the weight of a person on earth, who weighs 9N on the moon?
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.
What would be the value of ‘g’ on the surface of the earth if its mass was twice and its radius half of what it is now?
A force acts for 10 s on a stationary body of mass 100 kg, after which the force ceases to act. The body moves through a distance of 100 m in the next 5 s. Calculate : The acceleration produced by the force
What force, in newton, your muscles need to apply to hold a mass of 5 kg in your hand? State the assumption.
What is escape velocity?
Explain why:
Objects fall to the earth.
Write scientific reason.
The value of gravitational acceleration (g) is taken to be -g when studying the motion of an object thrown upwards in a straight line.
Write acceleration due to gravity value on the surface of Earth.
Write a short note.
Free Fall
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)
