Acceleration Due to Gravity of the Earth
PHXI08:GRAVITATION

359585 The acceleration due to gravity \(g\) and density of the earth \(\rho\) are related by which of the following relations? ( where \(G\) is the gravitational constant and \(R_{E}\) is the radius of the earth)

1 \(\rho=\dfrac{3 G}{4 \pi g R_{E}}\)
2 \(\rho=\dfrac{4 \pi G R_{E}}{3 g}\)
3 \(\rho=\dfrac{4 \pi g R_{E}}{3 G}\)
4 \(\rho=\dfrac{3 g}{4 \pi G R_{E}}\)
PHXI08:GRAVITATION

359586 If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

1 Time period of a simple pendulum on the Earth would decrease
2 ' \(g\) ' on the Earth will not change
3 Walking on the ground would become more difficult
4 Raindrops will fall faster
PHXI08:GRAVITATION

359587 Suppose, the acceleration due to gravity at the earth's surface is \(10\;m/{s^2}\) and at the surface of mars it is \(4.0 \mathrm{~m} / \mathrm{s}^{2}\). A \(4.0\;m/{s^2}\) passenger goes from the earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky.
Which part of figure best represents the weight ( net gravitational force ) of the passenger as a function of time
supporting img

1 \(A\)
2 \(B\)
3 \(C\)
4 \(D\)
PHXI08:GRAVITATION

359588 Radius of earth is 6400 \(km\) and that of mars is 3200 \(km\). Mass of mars is 0.1 that of Earth's mass. Then the acceleration due to gravity on mars is nearly

1 \(1\;m/{s^2}\)
2 \(2.5\;m/{s^2}\)
3 \(4\;m/{s^2}\)
4 \(5\;m/{s^2}\)
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PHXI08:GRAVITATION

359585 The acceleration due to gravity \(g\) and density of the earth \(\rho\) are related by which of the following relations? ( where \(G\) is the gravitational constant and \(R_{E}\) is the radius of the earth)

1 \(\rho=\dfrac{3 G}{4 \pi g R_{E}}\)
2 \(\rho=\dfrac{4 \pi G R_{E}}{3 g}\)
3 \(\rho=\dfrac{4 \pi g R_{E}}{3 G}\)
4 \(\rho=\dfrac{3 g}{4 \pi G R_{E}}\)
PHXI08:GRAVITATION

359586 If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

1 Time period of a simple pendulum on the Earth would decrease
2 ' \(g\) ' on the Earth will not change
3 Walking on the ground would become more difficult
4 Raindrops will fall faster
PHXI08:GRAVITATION

359587 Suppose, the acceleration due to gravity at the earth's surface is \(10\;m/{s^2}\) and at the surface of mars it is \(4.0 \mathrm{~m} / \mathrm{s}^{2}\). A \(4.0\;m/{s^2}\) passenger goes from the earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky.
Which part of figure best represents the weight ( net gravitational force ) of the passenger as a function of time
supporting img

1 \(A\)
2 \(B\)
3 \(C\)
4 \(D\)
PHXI08:GRAVITATION

359588 Radius of earth is 6400 \(km\) and that of mars is 3200 \(km\). Mass of mars is 0.1 that of Earth's mass. Then the acceleration due to gravity on mars is nearly

1 \(1\;m/{s^2}\)
2 \(2.5\;m/{s^2}\)
3 \(4\;m/{s^2}\)
4 \(5\;m/{s^2}\)
PHXI08:GRAVITATION

359585 The acceleration due to gravity \(g\) and density of the earth \(\rho\) are related by which of the following relations? ( where \(G\) is the gravitational constant and \(R_{E}\) is the radius of the earth)

1 \(\rho=\dfrac{3 G}{4 \pi g R_{E}}\)
2 \(\rho=\dfrac{4 \pi G R_{E}}{3 g}\)
3 \(\rho=\dfrac{4 \pi g R_{E}}{3 G}\)
4 \(\rho=\dfrac{3 g}{4 \pi G R_{E}}\)
PHXI08:GRAVITATION

359586 If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

1 Time period of a simple pendulum on the Earth would decrease
2 ' \(g\) ' on the Earth will not change
3 Walking on the ground would become more difficult
4 Raindrops will fall faster
PHXI08:GRAVITATION

359587 Suppose, the acceleration due to gravity at the earth's surface is \(10\;m/{s^2}\) and at the surface of mars it is \(4.0 \mathrm{~m} / \mathrm{s}^{2}\). A \(4.0\;m/{s^2}\) passenger goes from the earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky.
Which part of figure best represents the weight ( net gravitational force ) of the passenger as a function of time
supporting img

1 \(A\)
2 \(B\)
3 \(C\)
4 \(D\)
PHXI08:GRAVITATION

359588 Radius of earth is 6400 \(km\) and that of mars is 3200 \(km\). Mass of mars is 0.1 that of Earth's mass. Then the acceleration due to gravity on mars is nearly

1 \(1\;m/{s^2}\)
2 \(2.5\;m/{s^2}\)
3 \(4\;m/{s^2}\)
4 \(5\;m/{s^2}\)
PHXI08:GRAVITATION

359585 The acceleration due to gravity \(g\) and density of the earth \(\rho\) are related by which of the following relations? ( where \(G\) is the gravitational constant and \(R_{E}\) is the radius of the earth)

1 \(\rho=\dfrac{3 G}{4 \pi g R_{E}}\)
2 \(\rho=\dfrac{4 \pi G R_{E}}{3 g}\)
3 \(\rho=\dfrac{4 \pi g R_{E}}{3 G}\)
4 \(\rho=\dfrac{3 g}{4 \pi G R_{E}}\)
PHXI08:GRAVITATION

359586 If the mass of the Sun were ten times smaller and the universal gravitational constant were ten times larger in magnitude, which of the following is not correct?

1 Time period of a simple pendulum on the Earth would decrease
2 ' \(g\) ' on the Earth will not change
3 Walking on the ground would become more difficult
4 Raindrops will fall faster
PHXI08:GRAVITATION

359587 Suppose, the acceleration due to gravity at the earth's surface is \(10\;m/{s^2}\) and at the surface of mars it is \(4.0 \mathrm{~m} / \mathrm{s}^{2}\). A \(4.0\;m/{s^2}\) passenger goes from the earth to the Mars in a spaceship moving with a constant velocity. Neglect all other objects in the sky.
Which part of figure best represents the weight ( net gravitational force ) of the passenger as a function of time
supporting img

1 \(A\)
2 \(B\)
3 \(C\)
4 \(D\)
PHXI08:GRAVITATION

359588 Radius of earth is 6400 \(km\) and that of mars is 3200 \(km\). Mass of mars is 0.1 that of Earth's mass. Then the acceleration due to gravity on mars is nearly

1 \(1\;m/{s^2}\)
2 \(2.5\;m/{s^2}\)
3 \(4\;m/{s^2}\)
4 \(5\;m/{s^2}\)