A soccer goalkeeper takes a goal kick and the ball leaves his foot with a vertical velocity of 15 m/s and a horizontal velocity of 25 m/s.

What is the resultant velocity of the ball?

A soccer goalkeeper takes a goal kick and the ball leaves his foot with a vertical velocity of 15 m/s and a horizontal velocity of 25 m/s.

What is the angle of the resultant velocity vector from the horizontal?

A rugby player punts the ball with a resultant velocity of 25 m/s at an angle of 50 with respect to the horizontal. What is the horizontal component of ball velocity?

A rugby player punts the ball with a resultant velocity of 20 m/s at an angle of 55 with respect to the horizontal. What is the vertical components of ball velocity?

A sprinter is pushing against the starting blocks with one foot with a backward horizontal force of 650 N and a downward vertical force of 900 N. What is the resultant force generated by the sprinter?

A sprinter is pushing against the starting blocks with one foot with a backward horizontal force of 650 N and a downward vertical force of 900 N. What is the angle of the resultant force to the horizontal?

A 100 kg sprinter pushes against the blocks with a force of -2500 N at an angle of 45 to the horizontal. What is the horizontal reaction force acting on the sprinter?

A 100 kg sprinter pushes against the blocks with a force of -2500 N at an angle of 45 to the horizontal. What is the vertical reaction force acting on the sprinter?

Muscle biceps brachii exerts a force of 200 N on the radius while the muscle is oriented 50 with respect to the proximal surface of the radius. What is the amount of force which is oriented parallel to the radius?

The brachialis muscle exerts a force of300 N on the radius bone while the muscle is oriented 40 with respect to the proximal surface of the radius. What is the amount of force which is oriented perpendicular to the radius?

A triathlete swims 750 m South, rides 20 km East, and runs 5 km North, in that order. How far from the original starting position, as the crow flies, was the athlete after completing the above 3 stages? In other words, what is the straight-line distance between the start and finishing point.

If the fibers of a pennate muscle are oriented at 45 to a central tendon, how much tension is produced in the tendon when the muscle fibers contract with 300 N of force?

How much force must be produced by the fibers of a pennate muscle aligned at 75 to a central tendon to create a tensile force of 400 N in the tendon?

Consider the force of the vasti muscles acting on the tibia via the patella tendon. A force of 750 N is acting at an angle of 15 (with respect to the surface of the tibia).

• What is the torque about the knee joint if the insertion point for the patella tendon is 5.0 cm from the joint center?

Consider the force of the vasti muscles acting on the tibia via the patella tendon. A force of 750 N is acting at an angle of 15 (with respect to the surface of the tibia).

What is the value of the force component that is parallel to the tibia?

Consider the force of the vasti muscles acting on the tibia via the patella tendon. A force of 750 N is acting at an angle of 15 (with respect to the surface of the tibia) 3.5 cm from the joint center.

What torque does this create about the knee joint in Nm?

Two groups of muscles develop tension simultaneously on opposite sides of the elbow joint.

• The elbow flexors exert 200 N of force with a moment arm of 3 cm.
• The elbow extensors, acting with a leverage of 2.5 cm from the elbow joint center, exert 300 N of force.
• What is the net torque created at the joint in Nm?
• In the above question, what type of movement will occur at the elbow joint?

The deltoids exert a force of 100 N at an angle of 45 degrees to the humerus.

The tendon inserts 7.5 cm from the shoulder joint axis of rotation.

The arm is abducted 45 degrees from the vertical or anatomical position.

The combined weight of the upper arm, forearm, and hand is 75 N acts at the center of gravity of the upper extremity which is 15 cm from the shoulder joint axis.

What is the rotary component of the force developed by the deltoids?

The deltoids exert a force of 100 N at an angle of 45 degrees to the humerus.

The tendon inserts 7.5 cm from the shoulder joint axis of rotation.

The arm is abducted 45 degrees from the vertical or anatomical position.

The combined weight of the upper arm, forearm, and hand is 75 N acts at the center of gravity of the upper extremity which is 15 cm from the shoulder joint axis.

What is the parallel component of the force developed by the deltoids?

The deltoids exert a force of 100 N at an angle of 45 degrees to the humerus.

The tendon inserts 7.5 cm from the shoulder joint axis of rotation.

The arm is abducted 45 degrees from the vertical or anatomical position.

The combined weight of the upper arm, forearm, and hand is 75 N acts at the center of gravity of the upper extremity which is 15 cm from the shoulder joint axis.

What is the torque about the shoulder developed by the deltoids in Nm?

The deltoids exert a force of 100 N at an angle of 45 degrees to the humerus.

The tendon inserts 7.5 cm from the shoulder joint axis of rotation.

The arm is abducted 45 degrees from the vertical or anatomical position.

The combined weight of the upper arm, forearm, and hand is 75 N acts at the center of gravity of the upper extremity which is 15 cm from the shoulder joint axis.

What is the torque about the shoulder developed by the weight of the arm in Nm?

The deltoids exert a force of 100 N at an angle of 45 degrees to the humerus.

The tendon inserts 7.5 cm from the shoulder joint axis of rotation.

The arm is abducted 45 degrees from the vertical or anatomical position.

The combined weight of the upper arm, forearm, and hand is 75 N acts at the center of gravity of the upper extremity which is 15 cm from the shoulder joint axis.

What is the net joint shoulder torque in Nm?

A patient rehabilitating a knee injury performs knee extension exercises wearing a 20 N ankle weight. Calculate the amount of torque generated at the knee by the weight boot for four positions, given a distance of 0.5 m between the weight's center of gravity and the knee joint center.

• At = 90 (See Question 10 in Lab Math Problems 1 for the diagram showing the 90 position).

A patient rehabilitating a knee injury performs knee extension exercises wearing a 20 N ankle weight. Calculate the amount of torque generated at the knee by the weight boot for four positions, given a distance of 0.5 m between the weight's center of gravity and the knee joint center.

• At = 0 (See Question 10 in Lab Math Problems 1 for the diagram showing the 0 position).

A patient rehabilitating a knee injury performs knee extension exercises wearing a 20 N ankle weight. Calculate the amount of torque generated at the knee by the weight boot for four positions, given a distance of 0.5 m between the weight's center of gravity and the knee joint center.

• At = 30 (See Question 10 in Lab Math Problems 1 for the diagram showing the 30 position).

A patient rehabilitating a knee injury performs knee extension exercises wearing a 20 N ankle weight. Calculate the amount of torque generated at the knee by the weight boot for four positions, given a distance of 0.5 m between the weight's center of gravity and the knee joint center.

• At = 60