Advertisements
Advertisements
Question
Mahendra and Virat are sitting at a distance of 1 m from each other.Their masses are 75 kg and 80 kg respectively. What is the gravitational force between them? (G = 6.67 × 10-11 Nm2/kg2)
Advertisements
Solution
Given: Distance (r) = 1 m, mass (m1) = 75 kg, mass (m2) = 80 kg, gravitational constant (G) = 6.67 × 10-11 Nm2/kg2
To find: Gravitational force (F)
Formula: F = `("Gm"_1"m"_2)/"r"^2`
Calculation: From formula,
F = `(6.67 xx 10^-11 xx 75 xx 80)/1^2`
∴ F = 4.002 × 10-7 N
The gravitational force between Mahendra and Virat is 4.002 × 10-7 N.
APPEARS IN
RELATED QUESTIONS
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing depth. (assume the earth to be a sphere of uniform density).
Can you think of two particles which do not exert gravitational force on each other?
A body is suspended from a spring balance kept in a satellite. The reading of the balance is W1 when the satellite goes in an orbit of radius R and is W2 when it goes in an orbit of radius 2 −R.
Three equal masses m are placed at the three corners of an equilateral triangle of side a. Find the force exerted by this system on another particle of mass m placed at (a) the mid-point of a side, (b) at the centre of the triangle.
Three uniform spheres each having a mass M and radius a are kept in such a way that each touches the other two. Find the magnitude of the gravitational force on any of the spheres due to the other two.
A tunnel is dug along a chord of the earth at a perpendicular distance R/2 from the earth's centre. The wall of the tunnel may be assumed to be frictionless. Find the force exerted by the wall on a particle of mass m when it is at a distance x from the centre of the tunnel.
A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in the following figure. The point A is the centre of the plane section of the first part and B is the centre of the plane section of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.
The gravitational field in a region is given by \[E = \left( 2 \overrightarrow{i} + 3 \overrightarrow{j} \right) N {kg}^{- 1}\] . Show that no work is done by the gravitational field when a particle is moved on the line 3y + 2x = 5.
[Hint : If a line y = mx + c makes angle θ with the X-axis, m = tan θ.]
A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 ms-2 , find :
the total time of journey of the ball .
Distinguish between gravity and gravitation
How will the force of gravitation between two objects change if the distance between them is:
Halved
Where will you weigh more: at the centre of the earth or at the surface of the earth?
Where will you weigh more: at the moon's surface or at the earth's surface?
Name and state the action and reaction in the following case:
Hammering a nail.
Explain why:
The atmosphere does not escape.
State Newton's law of gravitation. What is the difference between:
g and G?
The distance-time values for an object moving along straight line are given below:
| Time (s) | Distance (m) |
| 0 | 0 |
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
Give the applications of universal law gravitation.
Three uniform spheres, each having mass m and radius r, are kept in such a way that each touches the other two. The magnitude of the gravitational force on any sphere due to the other two is
The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F vs r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.
