you are exploring a newly discovered planet. the radius of the planet is 7.30×107m7.30×107m. you suspend a lead weight from the lower end of a light string that is 4.00 mm long and has mass 0.0280 kgkg. you measure that it takes 0.0605 ss for a transverse pulse to travel from the lower end to the upper end of the string. on earth, for the same string and lead weight, it takes 0.0340 ss for a transverse pulse to travel the length of the string. the weight of the string is small enough that its effect on the tension in the string can be neglected.