El paquete de 50 lb que se muestra en la figura parte desde el reposo, se desliza hacia abajo sobre la rampa y es detenido por el resorte. El coeficiente de fricción cinético entre el paquete y la rampa es μk = 0.12. Si se desea que el paquete llegue al reposo a pulgadas del punto de contacto, que valor debe tener la constante k del resorte?.

the area between the graph and the t axis

initial speed when it is dropped is 150 ft/s

now at the same moment the acceleration due to gravity is perpendicular to its velocity

so as we know that

now we have centripetal acceleration a = 32 ft/s^2 as its perpendicular to velocity

while tangential acceleration at the same moment will be zero

so

now radius of curvature is given as

so the radius of curvature just after it is dropped is 703.125 ft

1.195000

explanation:

total mass=0.0117+0.0137+0.0881+0.0111

total mass= 0.01172kg

total velocity = 0.283-0.743+0.871-0.799+0.155+0.637+0.301=0.102

momentum=mv=0.1172*0.102=1.195000//