help plz A force pushing a grocery cart is SN at an angle of 50 degree below hor

Question

help plz

A force pushing a grocery cart is SN at an angle of 50 degree below horizontal. How much more is done to get it from one end of a 30m. a is be to the other Three marbles of mass 0.05 leg are connected so that each is located at meter of 45-45-90 triangle. The two equal sides of the triangle are 0.01m long. What are the coordinates of the center of mass? Two scalars each of mass 50kg collide made on and bounce(elastically). If one is travelling with speed of 1 m/s and other with speed of 1.5 m/s. What is the speed of lighter slater after the collide?

Explanation / Answer

1) W = F*S*costheta = 5*30*cos50 = 96.41 J

2) Xcm = m1*x1+m2*x2+m3*x3/(m1+m2+m3) = (0.05*0+0.05*0.01+0.05*0)/(3*0.05) = 0.0033 cm

Ycm = m1*y1+m2*y2+m3*3/(m1+m2+m3) = (0.05*0+0.05*0+0.05*0.01)/(3*0.05) = 0.0033 cm


3) u1 = 1m/s..........u2 = 1.5m/s

m1*u1 + m2*u2 = m1*v1+m2*v2

(1/2)*m1*u1^2 + (1/2)*m2*u2^2 = (1/2)*m1*v1^2 + (1/2)*m2*v2^2 =

solving above two equations
v1 = (m1-m2)*u1/(m1+m2) + (2*m2*u2)/(m1+m2)

v2 = (m2-m1)*u2/(m1+m2) + (2*m1*u1)/(m1+m2)

v1 = (2*50*1.5)/(50+50) = 1.5 m/s

v2 = (2*50*1)/(50+50) = 1 m/s

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