points My Notes Ask Your Teach A m 1.10-kg block is pushed against a spring with

Question

points My Notes Ask Your Teach A m 1.10-kg block is pushed against a spring with negligible mass and force constant k B90 N/m, compressing it dHlo BE0 m. when the block is released, it moves along a frictionless, horizontal surface and then up a frictionless incline with slope 37.0° (a) What is the speed of the block as it slides along the horizontal surface after having left the spring? m/s b) How far does the object travel up the incline before starting to slide back down? 012 poinits Previous My Notes Ask Your

Explanation / Answer

Energy stored in the spring at maximum compression d = 0.5*k*(d^2) = 0.5*390*0.25*0.25 = 12.1875 J

As the surfaces are frictionless, the net energy in the system remains constant. As the block leaves contact with the spring, the energy stored in the spring is zero and all the energy is stored as the kinetic energy of the block.

a) Hence 0.5*m*(v^2)=12.1875 => 0.5*1.1*(v^2)=12.1875 =>v=4.7 m/s

b) As the object moves up the incline this kinetic energy is now converted to potential energy

Hence, 12.1875=mgh => 12.1875 = 1.1*10*(a*sin37) =>a=1.84 m

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