Question

While camping you want to keep your pack away from bears, so you tie a cord between two trees and hang the pack in the middle. The cord can hold 143.18 newtons, and is pulled down at an angle of 15°. How heavy of a pack can you hang, in kg?

Answer 1

Question #78469, Physics / Other

While camping you want to keep your pack away from bears, so you tie a cord between two trees and hang the pack in the middle. The cord can hold 143.18 newtons, and is pulled down at an angle of $15{}^{\circ}$ . How heavy of a pack can you hang, in kg?

Solution

Since the pack does not move, the forces are balanced.

$$\sum F _ {y} = 0;$$ $$2 T \sin 1 5 {}^ {\circ} = m g;$$ $$m = \frac {2 T \sin 1 5 {}^ {\circ}}{g} = \frac {2 \times 1 4 3 . 1 8 \times \sin 1 5 {}^ {\circ}}{9 . 8 1} = 7. 5 6 \mathrm {k g}$$

Answer: the maximum mass of the pack is $7.56 \, \text{kg}$ .

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