At the surface of a planet the acceleration of free fall is greater than that on Earth. If the planet has the same radius as the Earth, which of the following on the planet will be the same as that on the Earth?

the surface tension of a liquid

the escape velocity of a spacecraft

the weight of an astronaut as measured by a spring balance

the height to which an astronaut can jump

The Earth may be taken to be a uniform sphere rotating about an axis through the poles. Which of the following correctly compares the weight of a body at the Equator relative to its weight at a pole?

smaller, because the gravitational attraction of the Earth must provide both the weight and the centripetal force due to the circular motion of the body.

greater, because angular velocity of the Earth is greater at the Equator than at a pole.

greater, because the weight at the Equator is given by the sum of the gravitational attraction of the Earth and the centripetal force due to the circular motion of the body.

the same, because the weight is the gravitational attraction of the Earth and for a uniform sphere, even when rotating, this is independent of the body's position on the Earth.

A satellite of mass 50 kg is initially placed at a point where the gravitational potential due to the Earth is -20 MJ kg -1 . It is then moved to another point where the gravitational potential is -60 MJ kg -1 . In which direction did it move and what is its change in potential energy?

closer to the Earth and a loss of 2000 MJ of potential energy

closer to the Earth and a loss of 40 MJ of potential energy

further from the Earth and a gain of 2000 MJ of potential energy

further from the Earth and a gain of 40 MJ of potential energy

The given diagram shows the variation of the gravitational potential energy E_p of a body with distance r from the centre of a planet. What is represented by the gradient at any point on the curve?

the force pulling the body towards the planet

the gravitational potential at the value of r

the gravitational field strength at that value of r

the acceleration of the body towards the planet

A point Q is further from the Earth's centre than a point P on the Earth's surface. A body is moved from P to Q. The gravitational potential energy of the body may be taken as zero when it is at an infinite distance from the Earth. Which statement correctly describes the gravitational potential energy of the body at the two points?

It is negative at both points and numerically less at Q than at P

It is positive at both points and numerically greater at Q than at P

It is positive at both points and numerically less at Q than at P

It is negative at both points and numerically greater at Q than at P

Which one of the following is not applicable to geostationary orbits?

All satellites in a geostationary orbit must have the same mass

A geostationary orbit must be directly above the equator

The period of a geostationary orbit must be 24 hours

There is only one possible radius for a geostationary orbit

In one planetary system, a planet P₁ of mass M₁ orbits around a sun of mass S₁. In another planetary system, a planet P₂ of mass M₂ orbits around a sun of mass S₂. The two systems are widely separated. P₁ and P₂ have the same orbit radii but P₁ completes its orbit in half the time taken by P₂. Which of the following could be deduced?

S₁ = S₂ and M₁ = 0.25 M₂

Which situational will allow the person concerned to experience "weightlessness"? (Effects such as air resistance may be ignored, where necessary).

an athlete clearing the bar in a high jump

a driver equipped so that he remains at constant depth below the water surface without any effort on his part

an astronaut in a Moon-lander vehicle as it uses retro-rockets to make a soft landing on the Moon

a parachutist descending at terminal velocity with the parachute fully open

Pre-U Gravitational Fields

Quiz

•

Physics, Science

•

11th Grade - University

•

Practice Problem

•

Hard

•

NGSS

HS-PS2-4, HS-ESS1-4, HS-PS3-1

+1

Standards-aligned

Richard Parker

Used 13+ times

FREE Resource

48 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The Earth may be assumed to be spherical with radius r and density ⍴.

Which equation correctly relates the gravitational field strength g at its surface to these quantities and the gravitational constant G?

Tags

NGSS.HS-PS2-4

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The gravitational field strength outside a uniform sphere of mass M is the same as that of a point mass M at the centre of the sphere. The Earth, which may be assumed to be spherical and of radius r, has a gravitational field strength g at its surface.

Which expression gives the gravitational field strength at height h above the ground?

Tags

NGSS.HS-PS2-4

3.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Two isolated masses m₁ and m₂ are separated by a distance r.

Which expression gives the gravitational field strength caused by m₁ at m₂?

Tags

NGSS.HS-PS2-4

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

What is numerically equal to the gravitational field strength at a point P on the Earth's surface?

the acceleration of free fall at P

the change in potential energy per unit distance from P

the force acting on any body placed at P

the work done in bringing unit mass from infinity to P

Tags

NGSS.HS-PS2-4

5.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which statement about a uniform gravitational field is true?

Its magnitude is the same in all directions

The gravitational potential has the same value at all points within it

Its direction is opposite to the direction of motion of a test mass released in it

Its field strength is the same at all points within it

6.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

A body of mass 20 kg mass is placed 4 m above the Earth's surface. The value of g may be taken as 10 ms^-2.

What are the gravitational field strength and gravitational force acting on the body?

A

B

C

D

Tags

NGSS.HS-PS2-1

NGSS.HS-PS2-4

7.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The acceleration of free fall on the Earth's surface may be taken to be 6 times the value on the Moon's surface. The mean density of the Earth may be taken to be 5/3 times the value of the Moon. The radius of the Earth is r_E and that of the moon is r_M.

What is the ratio r_E / r_M

1.9

3.6

6.0

10

Tags

NGSS.HS-PS2-4

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Pre-U Gravitational Fields

48 questions

The Earth may be assumed to be spherical with radius r and density ⍴.

Which equation correctly relates the gravitational field strength g at its surface to these quantities and the gravitational constant G?

Two isolated masses m₁ and m₂ are separated by a distance r.

Which expression gives the gravitational field strength caused by m₁ at m₂?

What is numerically equal to the gravitational field strength at a point P on the Earth's surface?

Which statement about a uniform gravitational field is true?

A body of mass 20 kg mass is placed 4 m above the Earth's surface. The value of g may be taken as 10 ms^-2.

What are the gravitational field strength and gravitational force acting on the body?

The acceleration of free fall on the Earth's surface may be taken to be 6 times the value on the Moon's surface. The mean density of the Earth may be taken to be 5/3 times the value of the Moon. The radius of the Earth is r_E and that of the moon is r_M.

What is the ratio r_E / r_M

A mass m is released just above the surface of a planet with mass M and radius R.

Which expression gives its initial gravitational acceleration?

The Earth may be assumed to be spherical with mass M and radius R, with acceleration of free fall g at its surface. Which equation correctly shows how the universal gravitational constant G is related to these quantities?

The given diagram illustrates how the acceleration of free fall is determined by timing the fall of a steel ball photo-electrically. After release from P, the ball passes X and Y at time t_x and t_y.

Which expression gives the acceleration of free fall?

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Pre-U Gravitational Fields

48 questions

The Earth may be assumed to be spherical with radius r and density ⍴.Which equation correctly relates the gravitational field strength g at its surface to these quantities and the gravitational constant G?

Two isolated masses m₁ and m₂ are separated by a distance r.Which expression gives the gravitational field strength caused by m₁ at m₂?

What is numerically equal to the gravitational field strength at a point P on the Earth's surface?

Which statement about a uniform gravitational field is true?

A body of mass 20 kg mass is placed 4 m above the Earth's surface. The value of g may be taken as 10 ms-2.What are the gravitational field strength and gravitational force acting on the body?

The acceleration of free fall on the Earth's surface may be taken to be 6 times the value on the Moon's surface. The mean density of the Earth may be taken to be 5/3 times the value of the Moon. The radius of the Earth is r_E and that of the moon is r_M.What is the ratio r_E / r_M

A mass m is released just above the surface of a planet with mass M and radius R.Which expression gives its initial gravitational acceleration?

The Earth may be assumed to be spherical with mass M and radius R, with acceleration of free fall g at its surface. Which equation correctly shows how the universal gravitational constant G is related to these quantities?

The given diagram illustrates how the acceleration of free fall is determined by timing the fall of a steel ball photo-electrically. After release from P, the ball passes X and Y at time t_x and t_y.Which expression gives the acceleration of free fall?

Create a free account and access millions of resources

Similar Resources on Wayground

Popular Resources on Wayground

Discover more resources for Physics

The Earth may be assumed to be spherical with radius r and density ⍴.

Which equation correctly relates the gravitational field strength g at its surface to these quantities and the gravitational constant G?

Two isolated masses m₁ and m₂ are separated by a distance r.

Which expression gives the gravitational field strength caused by m₁ at m₂?

A body of mass 20 kg mass is placed 4 m above the Earth's surface. The value of g may be taken as 10 ms^-2.

What are the gravitational field strength and gravitational force acting on the body?

The acceleration of free fall on the Earth's surface may be taken to be 6 times the value on the Moon's surface. The mean density of the Earth may be taken to be 5/3 times the value of the Moon. The radius of the Earth is r_E and that of the moon is r_M.

What is the ratio r_E / r_M

A mass m is released just above the surface of a planet with mass M and radius R.

Which expression gives its initial gravitational acceleration?

The given diagram illustrates how the acceleration of free fall is determined by timing the fall of a steel ball photo-electrically. After release from P, the ball passes X and Y at time t_x and t_y.

Which expression gives the acceleration of free fall?