359580 A spherical cloud of dust in space has a uniform density \(\rho_{o}\) and a radius \(R_{o}\). The gravitational acceleration of free fall at the surface of the cloud due to the mass of the cloud is \(g_{0}\). A process occurs (heat expansion) that causes the cloud to suddenly grow to a radius \(2 R_{o}\), while maintaining a uniform (but not constant) density. The gravitational acceleration of free fall at a point \(R_{o}\) away from the center of the cloud due to the mass of the cloud is now

359581 An astronaut on a strange planet finds that acceleration due to gravity is twice as that on the surface of earth. Which of the following could explain this?

359582 The radii of two planets '\(A\)' and '\(B\)' are '\(R\)' and '\(4 R\)' and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_{A}: g_{B}\right)\) will be

359583 The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is \(R\) and the radius of the planet is \(R^{\prime}\). Then what is the value of \(R / R^{\prime}\) ?

359584 The maximum vertical distance through which a full dressed astronaut can jump on the earth is \(0.5 \mathrm{~m}\). Estimate the maximum vertical distance through which he can jump on the moon, which has a mean density \(\left(\dfrac{2}{3}\right) r d\) that of the earth and radius one-quarter that of the earth.

359580 A spherical cloud of dust in space has a uniform density \(\rho_{o}\) and a radius \(R_{o}\). The gravitational acceleration of free fall at the surface of the cloud due to the mass of the cloud is \(g_{0}\). A process occurs (heat expansion) that causes the cloud to suddenly grow to a radius \(2 R_{o}\), while maintaining a uniform (but not constant) density. The gravitational acceleration of free fall at a point \(R_{o}\) away from the center of the cloud due to the mass of the cloud is now

359581 An astronaut on a strange planet finds that acceleration due to gravity is twice as that on the surface of earth. Which of the following could explain this?

359582 The radii of two planets '\(A\)' and '\(B\)' are '\(R\)' and '\(4 R\)' and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_{A}: g_{B}\right)\) will be

359583 The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is \(R\) and the radius of the planet is \(R^{\prime}\). Then what is the value of \(R / R^{\prime}\) ?

359584 The maximum vertical distance through which a full dressed astronaut can jump on the earth is \(0.5 \mathrm{~m}\). Estimate the maximum vertical distance through which he can jump on the moon, which has a mean density \(\left(\dfrac{2}{3}\right) r d\) that of the earth and radius one-quarter that of the earth.

359580 A spherical cloud of dust in space has a uniform density \(\rho_{o}\) and a radius \(R_{o}\). The gravitational acceleration of free fall at the surface of the cloud due to the mass of the cloud is \(g_{0}\). A process occurs (heat expansion) that causes the cloud to suddenly grow to a radius \(2 R_{o}\), while maintaining a uniform (but not constant) density. The gravitational acceleration of free fall at a point \(R_{o}\) away from the center of the cloud due to the mass of the cloud is now

359581 An astronaut on a strange planet finds that acceleration due to gravity is twice as that on the surface of earth. Which of the following could explain this?

359582 The radii of two planets '\(A\)' and '\(B\)' are '\(R\)' and '\(4 R\)' and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_{A}: g_{B}\right)\) will be

359583 The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is \(R\) and the radius of the planet is \(R^{\prime}\). Then what is the value of \(R / R^{\prime}\) ?

359584 The maximum vertical distance through which a full dressed astronaut can jump on the earth is \(0.5 \mathrm{~m}\). Estimate the maximum vertical distance through which he can jump on the moon, which has a mean density \(\left(\dfrac{2}{3}\right) r d\) that of the earth and radius one-quarter that of the earth.

359580 A spherical cloud of dust in space has a uniform density \(\rho_{o}\) and a radius \(R_{o}\). The gravitational acceleration of free fall at the surface of the cloud due to the mass of the cloud is \(g_{0}\). A process occurs (heat expansion) that causes the cloud to suddenly grow to a radius \(2 R_{o}\), while maintaining a uniform (but not constant) density. The gravitational acceleration of free fall at a point \(R_{o}\) away from the center of the cloud due to the mass of the cloud is now

359581 An astronaut on a strange planet finds that acceleration due to gravity is twice as that on the surface of earth. Which of the following could explain this?

359582 The radii of two planets '\(A\)' and '\(B\)' are '\(R\)' and '\(4 R\)' and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_{A}: g_{B}\right)\) will be

359583 The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is \(R\) and the radius of the planet is \(R^{\prime}\). Then what is the value of \(R / R^{\prime}\) ?

359584 The maximum vertical distance through which a full dressed astronaut can jump on the earth is \(0.5 \mathrm{~m}\). Estimate the maximum vertical distance through which he can jump on the moon, which has a mean density \(\left(\dfrac{2}{3}\right) r d\) that of the earth and radius one-quarter that of the earth.

359580 A spherical cloud of dust in space has a uniform density \(\rho_{o}\) and a radius \(R_{o}\). The gravitational acceleration of free fall at the surface of the cloud due to the mass of the cloud is \(g_{0}\). A process occurs (heat expansion) that causes the cloud to suddenly grow to a radius \(2 R_{o}\), while maintaining a uniform (but not constant) density. The gravitational acceleration of free fall at a point \(R_{o}\) away from the center of the cloud due to the mass of the cloud is now

359581 An astronaut on a strange planet finds that acceleration due to gravity is twice as that on the surface of earth. Which of the following could explain this?

359582 The radii of two planets '\(A\)' and '\(B\)' are '\(R\)' and '\(4 R\)' and their densities are \(\rho\) and \(\rho / 3\) respectively. The ratio of acceleration due to gravity at their surfaces \(\left(g_{A}: g_{B}\right)\) will be

359583 The density of a newly discovered planet is twice that of the earth. The acceleration due to gravity at the surface of the planet is equal to that at the surface of the earth. If the radius of the earth is \(R\) and the radius of the planet is \(R^{\prime}\). Then what is the value of \(R / R^{\prime}\) ?

359584 The maximum vertical distance through which a full dressed astronaut can jump on the earth is \(0.5 \mathrm{~m}\). Estimate the maximum vertical distance through which he can jump on the moon, which has a mean density \(\left(\dfrac{2}{3}\right) r d\) that of the earth and radius one-quarter that of the earth.