While a person is walking, his arms swing through approximately a 45° angle in .530s. As a reasonable approximation, we can assume that the arm moves with constant speed during each swing. A typical arm is 70.0 cm long, measured from the shoulder joint.

1) What is the acceleration of a .800 gram drop of blood in the fingertips at the bottom of the swing?

i already got the answer its 1.54 m/s^2

***i don't know how to solve problems 2 and 3
2) Find the force that the blood vessel must exert on the drop of blood in part (a).
F=? N

3) What force would the blood vessel exert if the arm were not swinging?
F=? N
i know the this problem formula is f=ma

To solve problems 2 and 3, you'll need to use Newton's second law of motion, which states that the force acting on an object is equal to its mass times its acceleration (F = ma).

2) In part (a), you found the acceleration of the drop of blood to be 1.54 m/s^2. Now, to find the force that the blood vessel must exert on the drop of blood at the bottom of the swing, you need to know the mass of the drop of blood. In this case, it is given as 0.800 grams. However, it is recommended to convert grams to kilograms, so divide the mass by 1000:
0.800 grams = 0.800/1000 = 0.0008 kg

Now, you can use the formula F = ma, where F is the force, m is the mass, and a is the acceleration:
F = (0.0008 kg) * (1.54 m/s^2)
Calculate the product to find the force exerted on the drop of blood in the fingertips at the bottom of the swing.

3) In this case, the arm is not swinging, so there is no acceleration (a = 0 m/s^2). However, you still need to find the force, which you can do using the formula F = ma. The mass of the drop of blood is still 0.0008 kg, but now the acceleration is 0 m/s^2, so the resulting force will be zero. This means that the blood vessel would not exert any force on the blood drop if the arm were not swinging.

To summarize:
2) Calculate F = (0.0008 kg) * (1.54 m/s^2) to find the force exerted by the blood vessel on the drop of blood.
3) Since a = 0 m/s^2, the force exerted by the blood vessel would be F = (0.0008 kg) * (0 m/s^2), which equals zero.