"a-"a-
- the force compressing the spring is the weight of stone of mass of 8 kilogram.
- The weight of the stone creates a backward force on the spring.
- we can calculate the recall force using the following formula.
F=-K*Delta x
"where K is spring constant, " Delta x=10 cm=0.1 m
F=G=m*g" where G is the weight of the stone."
F=G=8*9.81=78.48N
78.48=K*0.1
K=(78.48)/(0.1)=784.8=7.85*10^2" "N/m
"b-"
"(i)"
"total amount of compressing:10+30=40 cm=0.4 m"
"Energy stored in the spring can be calculated using :"
E=1/2*K*(Delta x)^2
E=1/2* 785*(0.4)^2=1/2*785*0.16=62.8J
(ii)
"Deposited on the spring energy is transferred to the stone"
"The stone gains kinetic energy and rises from the ground...."
"When the stone reaches its maximum height, the kinetic "
"energy becomes zero."
"The total energy of the stone at maximum height is only"
"potential energy."
E_p=m*g*h
"where h is maximum height."
62.8=8*9.81.h
h=(62.8)/(8.9.81)
h=0.80 m
