Physics-
General
Easy

Question

A small ball of mass ‘m’ is released at a height ‘R’ above the earth surface, as shown in the figure above. If the maximum depth of the ball to which it goes is R/2 inside the earth through a narrow grove before coming to rest momentarily. The grove, contain an ideal spring of spring constant K and natural length R, find the value of K if R is radius of earth and M mass of earth

  1. fraction numerator 3 G M m over denominator R to the power of 3 end exponent end fraction    
  2. fraction numerator 6 G M m over denominator R to the power of 3 end exponent end fraction    
  3. fraction numerator 9 G M m over denominator R to the power of 3 end exponent end fraction    
  4. fraction numerator 7 G M m over denominator R to the power of 3 end exponent end fraction    

The correct answer is: fraction numerator 7 G M m over denominator R to the power of 3 end exponent end fraction

Related Questions to study

General
physics-

The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves A, B and C

The figure shows the variation of energy with the orbit radius of a body in circular planetary motion. Find the correct statement about the curves A, B and C

physics-General
General
physics-

Referring to previous problem, what is the gravitational field strength in this region ?

Referring to previous problem, what is the gravitational field strength in this region ?

physics-General
General
physics-

A spherical uniform planet is rotating about its axis. The velocity of a point on its equator is V. Due to the rotation of planet about its axis the acceleration due to gravity g at equator is 1/2 of g at poles. The escape velocity of a particle on the planet in terms of V.

A spherical uniform planet is rotating about its axis. The velocity of a point on its equator is V. Due to the rotation of planet about its axis the acceleration due to gravity g at equator is 1/2 of g at poles. The escape velocity of a particle on the planet in terms of V.

physics-General
parallel
General
physics-

A particle starts from rest at a distance R from the centre and along the axis of a fixed ring of radius R & mass M. Its velocity at the centre of the ring is:

A particle starts from rest at a distance R from the centre and along the axis of a fixed ring of radius R & mass M. Its velocity at the centre of the ring is:

physics-General
General
physics-

Two identical spherical balls each of mass m are placed as shown in figure. Plot the variation of g(gravitation intensity) along the x-axis.

Two identical spherical balls each of mass m are placed as shown in figure. Plot the variation of g(gravitation intensity) along the x-axis.

physics-General
General
physics-

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a.

A particle of mass M is at a distance a from surface of a thin spherical shell of equal mass and having radius a.

physics-General
parallel
General
physics-

A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at a distance 3R from the centre of the sphere. A spherical cavity of radius R/2 is now made in the sphere as shown in the figure. The sphere with cavity now applies a gravitational force F2 on the same particle. The ratio F2 /F1 is:

A solid sphere of uniform density and radius R applies a gravitational force of attraction equal to F1 on a particle placed at a distance 3R from the centre of the sphere. A spherical cavity of radius R/2 is now made in the sphere as shown in the figure. The sphere with cavity now applies a gravitational force F2 on the same particle. The ratio F2 /F1 is:

physics-General
General
physics-

Find the distance between centre of gravity and centre of mass of a two particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of earth

Find the distance between centre of gravity and centre of mass of a two particle system attached to the ends of a light rod. Each particle has same mass. Length of the rod is R, where R is the radius of earth

physics-General
General
physics-

A newly discovered planet has a density eight times the density of the earth and a radius twice the radius of the earth. The time taken by 2 kg mass to fall freely through a distance S near the surface of the earth is 1 second. Then the time taken for a 4 kg mass to fall freely through the same distance S near the surface of the new planet is

A newly discovered planet has a density eight times the density of the earth and a radius twice the radius of the earth. The time taken by 2 kg mass to fall freely through a distance S near the surface of the earth is 1 second. Then the time taken for a 4 kg mass to fall freely through the same distance S near the surface of the new planet is

physics-General
parallel
General
physics-

Two concentric shells of uniform density of mass M1 and M2 are situated as shown in the figure. The forces experienced by a particle of mass m when placed at positions A, B and C respectively are (given OA = p, OB = q and OC = r)

Two concentric shells of uniform density of mass M1 and M2 are situated as shown in the figure. The forces experienced by a particle of mass m when placed at positions A, B and C respectively are (given OA = p, OB = q and OC = r)

physics-General
General
physics-

A spherical hole of radius R/2 is excavated from the asteroid of mass M as shown in fig. The gravitational acceleration at a point on the surface of the asteroid just above the excavation is

A spherical hole of radius R/2 is excavated from the asteroid of mass M as shown in fig. The gravitational acceleration at a point on the surface of the asteroid just above the excavation is

physics-General
General
physics-

A large spherical planet of radius R, made of a material of density d, has a spherical cavity of radius R/2, with center of cavity a distance R/2 from the centre of the planet. Find the gravitational force on a small mass ‘m’ at the center of the cavity.

A large spherical planet of radius R, made of a material of density d, has a spherical cavity of radius R/2, with center of cavity a distance R/2 from the centre of the planet. Find the gravitational force on a small mass ‘m’ at the center of the cavity.

physics-General
parallel
General
physics-

Two mirrors labelled L1 for left mirror and L2 for right mirror in the figure are parallel to each other and 3.0 m apart. A person standing 1.0 m from the right mirror (L2 ) looks into this mirror and sees a series of images. The second nearest image seen in the right mirror is situated at a distance :

Two mirrors labelled L1 for left mirror and L2 for right mirror in the figure are parallel to each other and 3.0 m apart. A person standing 1.0 m from the right mirror (L2 ) looks into this mirror and sees a series of images. The second nearest image seen in the right mirror is situated at a distance :

physics-General
General
physics-

A beam of light strikes one mirror of a right angle mirror assembly at an angle of incidence 45° as shown in the figure. The right angle mirror assembly is rotated such that the angle of incidence becomes 60°. Which of the following statement is correct about the emerging light beam.

A beam of light strikes one mirror of a right angle mirror assembly at an angle of incidence 45° as shown in the figure. The right angle mirror assembly is rotated such that the angle of incidence becomes 60°. Which of the following statement is correct about the emerging light beam.

physics-General
General
physics-

A beam of light consisting of red, green and blue and is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will :

A beam of light consisting of red, green and blue and is incident on a right angled prism. The refractive index of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will :

physics-General
parallel

card img

With Turito Academy.

card img

With Turito Foundation.

card img

Get an Expert Advice From Turito.

Turito Academy

card img

With Turito Academy.

Test Prep

card img

With Turito Foundation.