(c) Suppose that the Earth's mass is doubled, but its radius remains unchanged. How will this change the escape velocity? O The escape velocity will be doubled. O The escape velocity will increase by about 40 percent (i.e., it will be multiplied by v2). O The escape velocity will be halved. O The escape velocity will decrease by about 30 percent (i.e., it will be divided by 2). O The escape velocity will be unchanged. (d) Suppose that the Earth's radius is doubled, but its mass remains unchanged (i.e. R = 1.28 x 107 m and M = 5.97 x 1024 kg). How will the escape velocity be affected? O The escape velocity will be doubled. O The escape velocity will increase by about 40 percent (i.e., it will be multiplied by 2). O The escape velocity will be halved. O The escape velocity will decrease by about 30 percent (i.e., it will be divided by 2). O The escape velocity will be unchanged. (e) Suppose that the Earth's mass and radius are both doubled (i.e. R = 1.28 x 10' m and M = 1.19 x 1025 kg).…

(II) Determine the distance from the Earth’s center to apoint outside the Earth where the gravitational accelerationdue to the Earth is 1/10 of its value at the Earth’s surface.

(c) A small object was found to drop above the surface of a big planet with no initial velocity and it fell 13.5 m in 3 s. If the radius of the planet is 5.82 x 10° m, calculate the small object's acceleration during the fall and the mass of the big planet.