04. Escape Velocity, Orbital Velocity, Satellites Motion, Binding Energy
Gravitation

138740 Escape velocity when a body of mass $m$ is thrown vertically from the surface of the earth is $v$, what will be the escape velocity of another body of mass $4 \mathbf{m}$ is thrown vertically

1 $\mathrm{v}$
2 $2 \mathrm{v}$
3 $4 \mathrm{v}$
4 None of these
Gravitation

138741 A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If $R$ is the radius of the earth, maximum height attained by the body from the surface of the earth is

1 $\frac{\mathrm{R}}{6}$
2 $\frac{R}{3}$
3 $\frac{2 R}{3}$
4 $\mathrm{R}$
Gravitation

138742 A planet with mass equal to eight times the mass of the Earth, has the same average density as the Earth. With $g$ being the gravitational acceleration on the surface of the Earth, the gravitational acceleration on the surface of the planet is

1 $8 \mathrm{~g}$
2 $4 \mathrm{~g}$
3 $\sqrt{8 \mathrm{~g}}$
4 $2 \mathrm{~g}$
Gravitation

138743 Consider a missile shot up from the surface of earth in the vertically upward direction with velocity $v$ equal to escape velocity. Taking the earth to be a spherically symmetric object with radius $R$, at what distance from the centre of the earth will the speed of the missile be $v / 2$ ?

1 $3 \mathrm{R} / 2$
2 $2 \mathrm{R}$
3 $3 \mathrm{R}$
4 $4 \mathrm{R}$
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Gravitation

138740 Escape velocity when a body of mass $m$ is thrown vertically from the surface of the earth is $v$, what will be the escape velocity of another body of mass $4 \mathbf{m}$ is thrown vertically

1 $\mathrm{v}$
2 $2 \mathrm{v}$
3 $4 \mathrm{v}$
4 None of these
Gravitation

138741 A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If $R$ is the radius of the earth, maximum height attained by the body from the surface of the earth is

1 $\frac{\mathrm{R}}{6}$
2 $\frac{R}{3}$
3 $\frac{2 R}{3}$
4 $\mathrm{R}$
Gravitation

138742 A planet with mass equal to eight times the mass of the Earth, has the same average density as the Earth. With $g$ being the gravitational acceleration on the surface of the Earth, the gravitational acceleration on the surface of the planet is

1 $8 \mathrm{~g}$
2 $4 \mathrm{~g}$
3 $\sqrt{8 \mathrm{~g}}$
4 $2 \mathrm{~g}$
Gravitation

138743 Consider a missile shot up from the surface of earth in the vertically upward direction with velocity $v$ equal to escape velocity. Taking the earth to be a spherically symmetric object with radius $R$, at what distance from the centre of the earth will the speed of the missile be $v / 2$ ?

1 $3 \mathrm{R} / 2$
2 $2 \mathrm{R}$
3 $3 \mathrm{R}$
4 $4 \mathrm{R}$
Gravitation

138740 Escape velocity when a body of mass $m$ is thrown vertically from the surface of the earth is $v$, what will be the escape velocity of another body of mass $4 \mathbf{m}$ is thrown vertically

1 $\mathrm{v}$
2 $2 \mathrm{v}$
3 $4 \mathrm{v}$
4 None of these
Gravitation

138741 A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If $R$ is the radius of the earth, maximum height attained by the body from the surface of the earth is

1 $\frac{\mathrm{R}}{6}$
2 $\frac{R}{3}$
3 $\frac{2 R}{3}$
4 $\mathrm{R}$
Gravitation

138742 A planet with mass equal to eight times the mass of the Earth, has the same average density as the Earth. With $g$ being the gravitational acceleration on the surface of the Earth, the gravitational acceleration on the surface of the planet is

1 $8 \mathrm{~g}$
2 $4 \mathrm{~g}$
3 $\sqrt{8 \mathrm{~g}}$
4 $2 \mathrm{~g}$
Gravitation

138743 Consider a missile shot up from the surface of earth in the vertically upward direction with velocity $v$ equal to escape velocity. Taking the earth to be a spherically symmetric object with radius $R$, at what distance from the centre of the earth will the speed of the missile be $v / 2$ ?

1 $3 \mathrm{R} / 2$
2 $2 \mathrm{R}$
3 $3 \mathrm{R}$
4 $4 \mathrm{R}$
Gravitation

138740 Escape velocity when a body of mass $m$ is thrown vertically from the surface of the earth is $v$, what will be the escape velocity of another body of mass $4 \mathbf{m}$ is thrown vertically

1 $\mathrm{v}$
2 $2 \mathrm{v}$
3 $4 \mathrm{v}$
4 None of these
Gravitation

138741 A body is projected vertically upwards from the surface of the earth with a velocity equal to half the escape velocity. If $R$ is the radius of the earth, maximum height attained by the body from the surface of the earth is

1 $\frac{\mathrm{R}}{6}$
2 $\frac{R}{3}$
3 $\frac{2 R}{3}$
4 $\mathrm{R}$
Gravitation

138742 A planet with mass equal to eight times the mass of the Earth, has the same average density as the Earth. With $g$ being the gravitational acceleration on the surface of the Earth, the gravitational acceleration on the surface of the planet is

1 $8 \mathrm{~g}$
2 $4 \mathrm{~g}$
3 $\sqrt{8 \mathrm{~g}}$
4 $2 \mathrm{~g}$
Gravitation

138743 Consider a missile shot up from the surface of earth in the vertically upward direction with velocity $v$ equal to escape velocity. Taking the earth to be a spherically symmetric object with radius $R$, at what distance from the centre of the earth will the speed of the missile be $v / 2$ ?

1 $3 \mathrm{R} / 2$
2 $2 \mathrm{R}$
3 $3 \mathrm{R}$
4 $4 \mathrm{R}$