A 1.50 m -long, 550 g rope pulls a 14.0 kg block of ice across a horizontal, frictionless surface. The block accelerates at 2.50 m/s2 . How much force pulls forward on (a) the ice, (b) the rope?

a) 35 N force pulls on the Ice

b) 36.375 N force pulls on the rope

Explanation:

Mass of the rope,

Length of the rope,

Mass of the Ice,

Acceleration of the ice block,

a) The amount of force that pulls forward on the Ice,

b) The amount of force that pulls forward on the rope,

Since the rope is pulling the ice, both the force on the ice and the force on the rope alone combine to pull the rope.

Moreover, both the ice and the rope accelerate equally,

not moving. pos accel,

russian is not my first language, so i'm afraid i can't write out an answer in russian, but hopefully you can find a way to do so. here's my best translation of the problem: you're given a plot of a particle's position in one-dimensional space over time, and you're asked to find either the total distance traveled by the particle after 6 seconds had elapsed, or the total displacement of the particle after 6 seconds.

if you want the total distance traveled, you would first need to determine the particle's velocity as a function of time, then integrate that over the 6-second interval. we know the position function is quadratic with roots at 0 and 6, so we have

where is unknown. because the position is parabolic, there is symmetry about the midpoint at , and we know that

so that the position function is

which means the velocity is

then the total distance traveled is

so the total distance traveled is 20 m.

on the other hand, if you want to find displacement: the particle starts at and ends at , so its displacement is 0.