1. A 3021-g box is suspended from the end of a light vertical rope. A time-dependent force is applied to the upper end of the rope, and the box moves upward with a velocity magnitude that varies in time according to v(t) = (2.50)t + (0.591t². What is the tension in the %3D rope when the velocity of the box is 9.80 m/s?

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Chapter1: Units, Trigonometry. And Vectors
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What are the answers for #1 and #2 a, b, and c? Show your complete solutions for each corresponding numbers with 4 significant figures.
1. A 3021-g box is suspended from the end of a light vertical rope. A time-dependent force is
applied to the upper end of the rope, and the box moves upward with a velocity magnitude
that varies in time according to v(t) = (2.50)t + (0.591t². What is the tension in the
rope when the velocity of the box is 9.80 m/s?
2. A solid uniform 45.0-kg ball of diameter 32.0 cm is supported against a
vertical, frictionless wall by a thin 30.0-cm wire of negligible mass (See
Figure on the right)
Draw a free-body diagram for the ball, and use the diagram to find the
tension in the wire.
a.
b. How hard does the ball push against the wall?
What is the tension in the wire?
C.
-30.
Transcribed Image Text:1. A 3021-g box is suspended from the end of a light vertical rope. A time-dependent force is applied to the upper end of the rope, and the box moves upward with a velocity magnitude that varies in time according to v(t) = (2.50)t + (0.591t². What is the tension in the rope when the velocity of the box is 9.80 m/s? 2. A solid uniform 45.0-kg ball of diameter 32.0 cm is supported against a vertical, frictionless wall by a thin 30.0-cm wire of negligible mass (See Figure on the right) Draw a free-body diagram for the ball, and use the diagram to find the tension in the wire. a. b. How hard does the ball push against the wall? What is the tension in the wire? C. -30.
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