Acceleration a of a mass M produced by force F FM Kinetic energy of particle wit

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) d

Explanation / Answer

a) velocity of the ball right before hitting the ground = sqrt(2gh) = sqrt(2*9.81*10) = 14 m/s

b) velocity when it starts moving up to the ground

V^2 - u^2 =2gH

0 - u^2 = 2*(-9.8)*8

u = 12.52 m/s

c) average force exerted = rate of change of momentum

= 0.01(14-12.52) / 0.01 = 1.478 N

d) energy lost in collision = 0.5 * 0.01*(14^2 - 12.52^2)

= 0.196248 J

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