Answer:
(a) 1, average velocity = -65.6 m/s
2, average velocity = -64.8 m/s
3, average velocity = -64.16 m/s
(b) The instantaneous velocity is -96 m/s
Explanation:
(a)
Average velocity is given by;

(1)

(2)

(3)

b. y = 235 - 16t²
The instantaneous velocity is given by;
v = dy /dt
dy / dt = -32t
when t = 3 s
v = -32(3)
v = -96 m/s
Answer:
x = 1.018 m
Explanation:
given,
height of man = 190 cm
= 1.9 m
scale reading on left = 450 N
scale reading on the right = 390 N
Let center of gravity of man be x distance from feet, feet is on right side.
For system to be in equilibrium moment about center should be equal to zero.
∑M = 0
now,
450(1.9 - x ) - 390 × x = 0
450(1.9 - x ) = 390 × x
855 - 450 x = 390 x
840 x = 855

x = 1.018 m
hence, point of center of gravity from feet is equal to x = 1.018 m
The x-component of the normal force is equal to <u>1706.45 N.</u>
Why?
To solve the problem, and since there is no additional information, we can safely assume that the x-axis is parallalel to the hill surface and the y-axis is perpendicular to the x-axis. Knowing that, we can calculate the components of the normal force (or weight for this case), using the following formulas:

Now, using the given information, we have:

Calculating, we have:


Hence, we have that the x-component of the normal force is equal to <u>1706.45 N.</u>
Have a nice day!
The nucleus of an atom is about 10-15 m in size; this means it is about 10-5 (or 1/100,000) of the size of the whole atom. A good comparison of the nucleus to the atom is like a pea in the middle of a racetrack. (10-15 m is typical for the smaller nuclei; larger ones go up to about 10 times that.)