Question

At least one of the answers above Is NOT Correct. (1 point) Two masses of 2.50 kg each, connected by a string, slide down a ramp making an angle of 43° with the horizontal. The coefficient of kinetic friction between M, and the ramp is 0.34. The coefficient of kinetic friction between M2 and the ramp is 0.10. MI M2 Find the magnitude of the acceleration of the masses. 8.904938958698487 m/s^2 What is the tension in the string? 23.31 N

Answer 1

a)Taking both masses as system, acceleration a = Fnet/(m1+m2)

= [m1g sin theta + m2g sin theta - u1m1g cos theta - u2m2g cos theta]/(m1+m2)

= [2.5*9.8*sin 43 degree + 2.5*9.8*sin 43 degree - 0.34*2.5*9.8*cos 43 degree - 0.1*2.5*9.8*cos 43 degree]/(2.5+2.5)

= 5.107 m/s^2 answer

b] applying force equation on m2:

m2g sin theta - T - u2m2g cos theta = m2a

T = m2g sin theta - u2m2g cos theta -m2a

= 2.5*9.8*sin 43 degree - 0.1*2.5*9.8*cos 43 degree - 2.5*5.107

= 2.15 N answer