Acceleration a of a mass M produced by force F FM Kinetic energy of particle wit
ID: 1516611 • Letter: A
Question
Acceleration a of a mass M produced by force F FM Kinetic energy of particle with mass m and velocity V: Gravitational potential energy of partici with mass M at height H: We Met E is gravitational accelation) Momentum of particle with mass m and velocity v: Prem work done by force F moving a box distances when the force makes angle with the direction of motion: w-Fs Cose Force exerted by spring with spring constant k when the spring is stretched by distance x : F--k x Potential Energy of spring with spring constant k when the spring is stretched by distance x: Uk x2 Angular frequency of mass M connected to spring with spring constant k: where w– with T being the period of oscillation. Force exerted by a rubber with initial length L, thickness area A and Young Modulus Y, when stretched by distanced: F=-Y (A/L) d. Potential energy of a rubber with initial length L, thickness area A and Young Modulus Y, when stretched by distance d : Y (A/L) dExplanation / Answer
Potential energy of block at height H= 100m = mgh = 70*10*100 = 70000J....(1)
When block is at 10m height gravitational potential energy = 70*10*10 = 7000J..(2)
Potential energy of rubber at 10m height = U = 0.5*Y(A/L)d2 ...........(3)
By conservation of energy
(1) = (2) + (3)
70000 = 7000 + 0.5*Y (60/(10000*10)) 802
Y = 32812.5 N/m2