In fig. 7-30, a block of ice slides down a frictionless ramp at angle 50 while an ice worker pulls on the block (via a rope) with a force that has a magnitude of 50 n and is directed up the ramp. as the block slides through distance d 0.50 m along the ramp, its kinetic energy increases by 80 j. how much greater would its kinetic energy have been if the rope had not been attached to the block?

It Is 25J greater.

Explanation:

Applying the Energy conservation theorem, we have:

The Work done by the ice worker is given by:

The angle is 180 degrees because the force exerted by the worker is opposite to the motion.

If the rope was not there, the external work is 0, so:

The kinetic energy is 25J greater without the rope.

an ion is a charged atom or molecule. it is charged because the number of electrons do not equal the number of protons in the atom or molecule. an atom can acquire a positive charge or a negative charge depending on whether the number of electrons in an atom is greater or less then the number of protons in the atom.

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.