Ablock is hung by a string from the inside roof of a van. when the can goes straight ahead at a speed of 28 m/s, the block hangs vertically down. but when the van maintains this same speed around an unbanked curve (r = 150m), the block swings toward the outside of the curve. the string makes an angle θ with the veritcal. find θ.

θ =28.07⁰

Explanation:

when van moves around an unbanked curve, horizontal component of normal force is equal to centripetal force

---(1)

There is no motion in vertical direction, so vertical component of normal force is balanced with weight of block i.e.

----(2)

divide (1) and (2)

v = 28 m/s

r = 150 m

g = 9.8m/

θ = 28.07⁰

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explanation: