Problem 5 A force of 20 N holds potential energy stored in the spring? an ideal
ID: 1783232 • Letter: P
Question
Problem 5 A force of 20 N holds potential energy stored in the spring? an ideal spring with a 30 N/m spring constant in compression. What is the Problem 6 A single conservative force acting on a 3 kg particlo varies as F- (2x+3x) N where x is in meters. (a) Find the change in potential energy as the particle moves from x (c) what is its speed at x 5 m if it starts from rest at x . 2 m? 2 m tox 5m Problem7 Ablock of mass m = 2.5 kg is dropped from a height h =60 cm onto a spring of spring constant k- 2500 N/m. Find the maximum distance the spring is compressed. Bonus Problem Ablock of mass m = 4 kg is moving upslope with a speed of vo 10 m/s when a constant force of F = 20N is applied to the block, parallel to the slope. What is the speed v of the block after it slides upslope to a height h = 3.75 m [Take :0.2, = 15, and use energy principles to solve this problem] Vo HLExplanation / Answer
5) F = kx
20 = 30*x
x = 0.67 m
Energy = 0.5kx^2 = 0.5*30*0.67^2 = 6.67 J
7) PE = spring energy
mg(h + x) = 0.5kx^2
2.5*9.8*(0.6 + x) = 0.5*2500*x^2
0.6+x = 51.02x^2
51.02 x^2 - x - 0.6 =0
x = 1 + sqrt(1^2 +4*0.6*51.02) / 2*51.02
x = 0.11 m