Questions
A balloon is tied to a block. The mass of the block is 2 kg. The tension of the string between the balloon and the block is 30 N. Due to the wind, the string has an angle relative to the vertical direction, cos = 4/5 and sin = 3/5. Assume the acceleration of gravity is g = 10 m/s2. Also assume the block is small so the force on the block from the wind can be ignored. Then the y-component and the y-component of the acceleration a of the block.
detailed solution
Correct option is A
The magnitude of the force (from the string) is T=30 NThe x-component =Tsinθ=30×3/5=18NThey-component =Tcosθ=30×4/5=24NThe total force on the block is:The x-component = 18 NThe y-component =24−mg=24−20=4NThe x-component of the acceleration =18N/2kg=9m/s2The y-component of the acceleration =4N/2kg=2m/s2Talk to our academic expert!
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