### Problem 1: Forces on the Achilles TendonThe diagram illustrates the forces exerted by the lateral and medial heads of the gastrocnemius muscle on the Achilles tendon. The medial head \( T_1 \) and lateral head \( T_2 \) apply forces of 180 N and 190 N, respectively, forming angles with the y-axis as shown.**Diagram Explanation:**- The gastrocnemius muscle is depicted with two heads exerting forces on the Achilles tendon.- Force \( T_1 \) acts at a 20° angle to the y-axis.- Force \( T_2 \) acts at a 30° angle to the y-axis.- An x-y coordinate system is used for reference.**Tasks:**(a) **Calculate the net force experienced by the Achilles tendon.**- **Magnitude of net force:** - Enter the value of the net force in Newtons, rounded to three significant figures.(b) **Determine the direction of the net force acting on the Achilles tendon.**- **Angle with respect to the y-axis:** - Enter the angle in degrees, using a negative value if the angle is to the left of the y-axis, and a positive value if to the right. Note that \( T_1 = 180 \, \text{N} \) and \( T_2 = 190 \, \text{N} \). - The angle should be accurate to three significant figures.

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The lateral head and the medial head of the gastrocnemius muscle pull on the Achilles tendon, as shown. The medial head T₁ and lateral head T₂ apply a force of 180 N and 190 N, respectively. y T₁ Gastrocnemius 20% N 30% (a) Calculate the net force experienced by the Achilles tendon. Enter to 3 significant figures Magnitude of net force = T₂ X Achilles Tendon b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y- axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means

The lateral head and the medial head of the gastrocnemius muscle pull on the Achilles tendon, as shown. The medial head T₁ and lateral head T₂ apply a force of 180 N and 190 N, respectively. y T₁ Gastrocnemius 20% N 30% (a) Calculate the net force experienced by the Achilles tendon. Enter to 3 significant figures Magnitude of net force = T₂ X Achilles Tendon b) What direction is the net force acting on the Achilles tendon? Enter the angle with respect to the y- axis. A negative angle means the force is angled to the left of the y-axis and a positive angle means

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### Problem 1: Forces on the Achilles Tendon

The diagram illustrates the forces exerted by the lateral and medial heads of the gastrocnemius muscle on the Achilles tendon. The medial head \( T_1 \) and lateral head \( T_2 \) apply forces of 180 N and 190 N, respectively, forming angles with the y-axis as shown.

**Diagram Explanation:**

- The gastrocnemius muscle is depicted with two heads exerting forces on the Achilles tendon.
- Force \( T_1 \) acts at a 20° angle to the y-axis.
- Force \( T_2 \) acts at a 30° angle to the y-axis.
- An x-y coordinate system is used for reference.

**Tasks:**

(a) **Calculate the net force experienced by the Achilles tendon.**

- **Magnitude of net force:**
- Enter the value of the net force in Newtons, rounded to three significant figures.

(b) **Determine the direction of the net force acting on the Achilles tendon.**

- **Angle with respect to the y-axis:**
- Enter the angle in degrees, using a negative value if the angle is to the left of the y-axis, and a positive value if to the right. Note that \( T_1 = 180 \, \text{N} \) and \( T_2 = 190 \, \text{N} \).
- The angle should be accurate to three significant figures.

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