Answer:
v_f = 3 m/s
Explanation:
From work energy theorem;
W = K_f - K_i
Where;
K_f is final kinetic energy
K_i is initial kinetic energy
W is work done
K_f = ½mv_f²
K_i = ½mv_i²
Where v_f and v_i are final and initial velocities respectively
Thus;
W = ½mv_f² - ½mv_i²
We are given;
W = 150 J
m = 60 kg
v_i = 2 m/s
Thus;
150 = ½×60(v_f² - 2²)
150 = 30(v_f² - 4)
(v_f² - 4) = 150/30
(v_f² - 4) = 5
v_f² = 5 + 4
v_f² = 9
v_f = √9
v_f = 3 m/s
So this form of energy is gravitational potential, which is defined as mass*height*gravity so if we use gravity as 10 m/s^2 to keep it simple we can do 150kg*10m*10m/s^2 and we get a total of 15,000 joules
Answer:
a)
, b)
, c)
, d) Six polar bears.
Explanation:
a) The slab of ice is modelled by the Archimedes' Principles and the Newton's Laws, whose equation of equilibrium is:

The height of the ice submerged is:




The percentage of the volume of the ice that is submerged is:


b) The height of the portion of the ice that is submerged is:

c) The buoyant force acting on the ice is:


d) The new system is modelled after the Archimedes' Principle and Newton's Laws:

The number of polar bear is cleared in the equation:




The maximum number of polar bears that slab could support is 6.
It depends on your weight, your hieght, and how fast you are falling