CORRECT ANSWERS ARE BOLDED BELOW, SHOW WORK ON HOW TO GET THOSE ANSWERS PLZ! The

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CORRECT ANSWERS ARE BOLDED BELOW, SHOW WORK ON HOW TO GET THOSE ANSWERS PLZ!

The correct answes are 20) C and 21) B

Name Student ID Score Last First Use the following scenario for the next two problems. B/m A block of mass m is on a rough incline and held against a compressed spring at Position A as shown. The angle of the incline from horizontal is A/m The coefficient of kinetic friction between the block and the incline surface is ur. The block is then let go, and reaches the maximum height of H at position B when the block mo nentarily sto 20. What is the acceleration of the block after it leaves the spring? A) B) C) D) g(A+sin gu sin-cos6 E 8(A coso-sine) 21. If the initial compression of the spring is x, and the spring constant is k, how much mechanical energy of the block-spring-earth system is dissipated as the block moves from Position A to Position B? D) mgH E) umgi

Explanation / Answer

20) Gravitational force is resolved into two components

wx = mgcos(theta) , wy = mg sin(theta)

net force along perpendicular to the incline is zero

Fy =0

N = mgcos(theta) ...(1)

Friciton force Fk = uk N = uk *mgcos(theta)

Net force along parallel to incline surface Fx =ma

Fk + mgsin(theta) =ma

uk*mgcos(theta) +mg*sin(theta) = ma

a = g[uk*cos(theta) + sin(theta)]

correct option is (C)

21) From conservation of energy

(K1+U1)at bottom = (K2+U2)at top

K1 + (1/2)kx^2 = K2 + mgH

K2 -K1 = (1/2)kx^2 - mgH

from work energy thorem W = chane in kinetic energy

W = (1/2)kx^2 - mgH

correct option is (B)

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