Asked by Jeff

A ramp 20m long slopes down 1.2m to the edge of a lake. A force of 300N is needed to pull a boat on a trailer at constant speed up the ramp when they are clear of the water. If friction is negligible, what is the combined mass of the boat and trailer.

Hints: Calculate MA of inclined plane. Then use definition of MA= Force Out/ Force in
Answered by Henry
sin A = 1.2m/20m = 0.06
A = 3.44o

Fap-Fp = m*a = m*0 = 0
300 - Fp = 0
Fp = 300 N = Force parallel to the ramp.

Fp = mg*sin A = 300 N.
m * 9.8*sin3.44 = 300
0.588m = 300
m = 510.2 kg. = Combined mass.


Answered by Katherine
Wrong...

MA of inclined plane = 20m/1.2m = 16.67

&the rest idk.
Answered by Henry
In the above procedure, m*a means mass*
acceleration.


MA = 20/1.2 = 16.67=Mechanical advantage

MA = Fo/Fin = 16.67
Fo/300 = 16.67
Fo = 16.67 * 300 = 5,000 N. = Output.

m*g = 5000
m * 9.8 = 5000
m = 510.2 kg. = Combined mass.



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