Answer:
Maximum spring length = 0.94m
Explanation:
Newton's law of forces in the vertical direction is given as:
Ef = Ks S - mg = 0
Ks = mg/ s
Ks = mg/ (L1 -Lo)
Ks =( 0.3 × 9.8 ) / ( 0.77 - 0.59 )
Ks = 2.94 / 0.18
Ks = 16.33N/m
The initial state is one in which the mass is pulled down so that the length of spring is 0.84m and the mass has initial speed of 1.8m/s. The final state is that in which the minimum point reached and the maximum length attained is L3
Ei = Ef
1/2mVi^2 + 1/2 Ks(L2-Lo)^2 + mg(L3- L2) = 1/2Ks(L3 - Lo)^2.
1/2 Mvi + 1/2 Ks(L2 - Lo)^2 + mg(L3 - L2)^2 = 1/2Ks(L3^2 - 2LoL3 + Lo^2)
1/2 KsL3 - (mg + KsLo)L3 + [1/2KsLo^2 + mgL2 - 1/2Ks(L2 -Lo)^2- 1/2mVi^2] = 0
Substituting the values to solve for L3 using the quadratic formula
1/2(16.33)L3^2 - (0.3×9.8) + 16.33(0.59)L3 + 1/2(16.33×0.59^2) + (0.3×9.8×0.84)- 1/2(16.33(0.84-0.59)^3 - 1/2( 0.3× 1.8^2] = 0
8.165L3^2 - 2.94 + 9.63L3 + 2.84 + 2.47 - 0.51 - 0.486
8.165L3^2 + 9.63L3 + 1.37
L3 =[ 9.63 +- sqrt(9.63^2 - 4(8.165)(1.37) / (2× 8.165)]
L3 =[ 9.63 +- sqrt(92.74 - 44.74) /16.33]
L3 = 9.63 +- sqrt(47.996)/16.43
L3 = 9.63 +- 6.93/ 16.33
L3 = (9.63 - 6.93)/16.34
L3 = 2.7/16.33
L3 = 0.165 + 0.77
L3= 0.935m
Answer:
Mental time travel has been studied by psychologists, cognitive neuroscientists, philosophers and in a variety of other academic disciplines. Major areas of interest include the nature of the relationship between memory and foresight, the evolution of the ability (including whether it is uniquely human or shared with other animals), its development in young children, its underlying brain mechanisms, as well as its potential links to consciousness, the self, and free will.
Explanation:
D is the answer because you cause heat by exerting energy
