This problem can be solved using a kinematic equation. For this case, the following equation is useful:
v_final = v_initial + at
where,
v_final = final velocity of the nail
v_initial = initial velocity of the nail
a = acceleration due to gravity = 9.8 m/s^2
t = time
First, we determine the time it takes for the nail to hit the ground. We know that the initial velocity is 0 m/s since the nail was only dropped. It has a final velocity of 26 m/s. We substitute these values to the equation and solve for t:
26 = 0 + 9.8*t
t = 26/9.8 = 2.6531 s
The problem asks the velocity of the nail at t = 1 second. We then subtract 1 second from the total time 2.6531 with v_final as unknown.
v_final = 0 + 9.8(2.6531-1) = 16.2004 m/s.
Thus, the nail was traveling at a speed of 16. 2004 m/s, 1 second before it hit the ground.
Units of force are the newton pound.
The effector strain of bacteria is that the bacteria would colonize on the teeth and help prevent the child from developing cavitie
The sleds speed when the spring returns toits uncompressed length is v = 0.03 m/s.
<u>Explanation</u>:
Given,
force constant = 42 N/cm = 0.42 N/m, mass m = 68 kg, spring x = 0.39 m
The potential energy, U, stored in the spring is
U = 1/2 kx^2
= 1 / 2
0.42
(0.39)^2
= 0.032 J
All its potential energy has been converted into kinetic energy since it has a uncompressed length.
K = 1/2 mv^2
v = sqrt (2K / m)
= √(( 2
0.032) / 68)
v = 0.03 m/s
.
Answer:
(See explanation for further information)
Explanation:
a) The distances of each planet with respect to the Sun is:
Mercury - 
Venus - 
Earth - 
Mars - 
Jupiter - 
Saturn - 
Uranus - 
Neptune - 
b) The solutions are presented below:
A. The distance between Venus and Jupiter is:


B. The combined distance from the Sun is:


Which is less than the distance from the Sun to Neptune (
).
C. The new distance of Earth is
(
). Saturn would be the closest planet to Earth, whose distance:
Scientific notation:


Standard notation:

