A 1.8kg mass is suspended at the end of a 2.3m long rope. The mass is held at 30
ID: 1703772 • Letter: A
Question
A 1.8kg mass is suspended at the end of a 2.3m long rope. The mass is held at 30 degrees from the vertical by a horizontal string.
a.) Draw a free body diagram showing the froces on the mass.
b.)Calculate the tenstion in the horizontal string.
c.) How much work is done by gravity on the 1.8kg mss as it swings through its arc to its lowest point?
d.) What is the speed of the mass at its lowest point?
e.) What is the tention in the rope at its lowest point?
f.) How much gravitational potential energy does the object have?
Explanation / Answer
a) let T1 be tension of the rope and T2 be tension of the string. T1*cos30=1.8*9.8 T1*sin30=T2. so that T1=20.4(N). T2=10.2(N). c) it is 1.8*9.8*2.3*(1-cos30)=5.4(J). d)5.4=mv^2/2=2.5(m/s) e)it is mg+mv^2/l=22.4(N). f)didnt choose a point to be origin of potential energy so this question makes no sense.
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