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Physiology of muscle query, Exercises of Human Biology

biceps muscle exerts a muscle force of 1000N on the forearm, as per the picture below. The muscle force acts at an angle of 30deg to the forearm. How large are the horizontal and vertical components of this force that holds the forearm in plac

Typology: Exercises

2020/2021

Available from 04/12/2023

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1. The biceps muscle exerts a muscle force of 1000N on the forearm, as per the picture below. The
muscle force acts at an angle of 30deg to the forearm. How large are the horizontal and vertical
components of this force that holds the forearm in place? (Show all work)
2. A man weighs 400N and is climbing up a hill that is 30deg, as per the picture below. (Show all
work)
Draw the free body diagram.
What is the friction force?
What is the coefficient of friction?
3. The average horizontal velocity of a baseball throw from the pitcher’s mound to the catcher is
95mph. The distance from the pitcher’s mound to the catcher is 65ft. How many seconds does it
take for the ball to reach the catcher after the pitcher throws it? (Show all work)
4. A quarterback throws the football down the field at a velocity of 25 m/s at an angle of 30deg.
You can assume that air resistance has no effect on the throw and that the height of landing is
equal to the height at release of the football. (Show all work)
How many seconds is the ball in the air?
How many yards did the quarterback throw the ball down the field?
5. A golfer hits a 50g golf ball with a golf club that weighs 200g. At the point of impact, the golf
club has a velocity of 100mph. assume the coefficient of restitution is 0.80. How fast is the ball
moving after impact? (Show all work)
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  1. The biceps muscle exerts a muscle force of 1000N on the forearm, as per the picture below. The muscle force acts at an angle of 30deg to the forearm. How large are the horizontal and vertical components of this force that holds the forearm in place? (Show all work)
  2. A man weighs 400N and is climbing up a hill that is 30deg, as per the picture below. (Show all work) Draw the free body diagram. What is the friction force? What is the coefficient of friction?
  3. The average horizontal velocity of a baseball throw from the pitcher’s mound to the catcher is 95mph. The distance from the pitcher’s mound to the catcher is 65ft. How many seconds does it take for the ball to reach the catcher after the pitcher throws it? (Show all work)
  4. A quarterback throws the football down the field at a velocity of 25 m/s at an angle of 30deg. You can assume that air resistance has no effect on the throw and that the height of landing is equal to the height at release of the football. (Show all work) How many seconds is the ball in the air? How many yards did the quarterback throw the ball down the field?
  5. A golfer hits a 50g golf ball with a golf club that weighs 200g. At the point of impact, the golf club has a velocity of 100mph. assume the coefficient of restitution is 0.80. How fast is the ball moving after impact? (Show all work)
  1. A soccer player hits a 75g soccer ball that is traveling toward him at a velocity of 25mph with a kicking velocity of 60mph, at the point of impact. The mass of the player’s leg is 200g. The time of impact is 0.025s. Assume the coefficient of restitution is 0.50. (Show all work) How fast is the ball traveling after impact? If the ball is hit at an angle of 30deg, how many seconds will it be in the air? How many yards will the ball travel down the field? What is the average impact force exerted on the leg during the kick? Answers

1. Ans) To find the horizontal and vertical components of the biceps muscle

force, we need to use trigonometry. The horizontal component is given by the

formula F cos(30), where F is the magnitude of the force (1000N). The vertical

component is given by the formula F sin(30). Plugging in the values, we get:

Horizontal component = 1000N cos(30) = 866N Vertical component = 1000N sin(30) = 500N Therefore, the horizontal component of the force that holds the forearm in place is 866N, and the vertical component is 500N.

1. To find the friction force and the coefficient of friction, we need to draw a free

body diagram of the man. The forces acting on the man are the weight (400N)

and the normal force (the force perpendicular to the surface of the hill). The

normal force is equal in magnitude to the component of the weight that is

perpendicular to the surface of the hill, which is given by the formula

400N cos(30). The friction force is equal in magnitude to the component of the

weight that is parallel to the surface of the hill, which is given by the formula

400N sin(30). Plugging in the values, we get:

Normal force = 400N cos(30) = 346.4N Friction force = 400N sin(30) = 200N The coefficient of friction is the ratio of the friction force to the normal force, which is: Coefficient of friction = Friction force / Normal force = 200N / 346.4N = 0. To find the time it takes for the baseball to reach the catcher, we need to convert the distance from feet to miles and the velocity from mph to miles per minute. Then we can use the formula: Time = Distance / Velocity Distance = 65ft / 5280ft/mi = 0.01231mi Velocity = 95mph / 60min/hour = 1.5833mi/min Time = 0.01231mi / 1.5833mi/min = 0.00776min = 0.466s Therefore, it takes the baseball approximately 0.466s to reach the catcher after the pitcher