what is the total mechanical energy of the ball in the ball return when it comes back from striking the pins if it is .8 M above the ground and moving at 1.2 M/S?

f=ma newton's second law 7x8=56n

see the picture for the vector

the magnitude of the vector by pythagorean theorem

r = √( (-10)^2 + (3)^2 ) = √109

magnitude = √109 units

the direction angle between vector and x-axis is

tan^(-1)(3/10) = 16.699

so the direction is approximately 16.7 degrees north of west

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