Part A What is the ball\'s speed when 0-30 o? Express your answer to two signifi
ID: 1880515 • Letter: P
Question
Part A What is the ball's speed when 0-30 o? Express your answer to two significant figures and include the appropriate units. A 3 kg ball swings in a vertical circle on the end of an 70-cm-long string The tension in the string is 20 N when its angle from the highest point on the circle is = 30 1.56 Submit vious Ans Ans X Incorrect; Try Again; 5 attempts remaining PartB What is the magnitude of the ball's acceleration when = 30 Express your answer to two significant figures and include the appropriate units a= | Value Units Submit Request Answer Part C What is the direction of the ball's acceleration when 8 30 °? Give the direction as an angle from the r-axis. Express your answer to two significant figures and include the appropriate units. _1 Value UnitsExplanation / Answer
a)
From Newton's second law
T+mgCos30=mV2/r
20+3*9.81*Cos30 =3*V2/0.7
V=3.258 m/s
b)
tangential acceleration
at=-9.8Sin30 =-4.9 m/s2
Centripetal acceleration
ar=V2/r =3.5782/0.7=15.16m/s2
acceleration
a=sqrt[(-4.9)2+(15.16)2] =15.93 m/s2
c)
direction
o=tan-1(-4.9/15.16) =-17.92o
17.92o below the +x-axis