A block of weight 47.0 N is hanging from a rope. The tension from the rope is pulling upward on the block. The block is accelerating downward at a rate of 1.53 m/s2. What is the magnitude of the tension in the rope?
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closed as too localized by Manishearth♦ Feb 7 at 7:34
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There are two forces acting on the block: Force due to gravity = $- 47.0 N$ (negative because it is downwards). Force due to rope = $T$, where $T$ represents the tension force in the rope, pulling upwards. Net Force = sum of all forces = $ma$. Therefore, $F_{net} = ma = -47 + T$ We know the block has a weight of 47 Newtons. We also know $Weight = g*mass$. Therefore, $mass = Weight/g = 47/9.8 = 4.8kg$. (Sometimes people just divide weight by 10) We know the acceleration $a = -1.53$. Therefore, $F_{net} = -1.53\times 4.8 = -47 + T$ Therefore, $-7.34 = -47 + T$ So,, $T = 39.66 N$ |
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@Manishearthto notify me) – Manishearth♦ Feb 7 at 7:34