Answer:
1 The hand is moving at a steady up and down motion.
2 The green dot is moving in a trait up and down motion
3 It is moving in a waving and calming motion
Explanation:
Answer:
34.3cm
Explanation:
Attached is the full solution
Answer:
The first law of thermodynamics doesn't actually specify that matter can neither be created nor destroyed, but instead that the total amount of energy in a closed system cannot be created nor destroyed (though it can be changed from one form to another).
Explanation:
Answer:
Explanation:
a ) x ( t ) = t³ / 3 - t² + t
v = dx / dt = 3 t² / 3 - 2 t + 1 = t² - 2 t + 1
b ) lizard is at rest , v( t ) = 0
t² - 2 t + 1 = 0
( t - 1 )² = 0
t = 1
c )
velocity is positive when
t² - 2 t + 1 > 0
( t - 1 ) ² > 0
Here we see that LHS is a square so it is always positive whatever be the value of t
So velocity is always positive or lizard is always moving in positive x direction .
d ) It never moves in negative x direction .
e )
a ( t ) = dv / dt = 2t - 2
t = 1
so it has zero acceleration at t = 0 .
Answer:
the result = g .The correct answer is d
Explanation:
For this problem let's start by finding the center of mass of objects
= 1 / M ∑
we apply this equation to our case
M = m + 2m + 3m
M = 6m
x_{cm} = 1 / 6m (x₁ m + x₂ 2m + x₃ 3m)
x_{cm} = 1/6 (x₁ + 2 x₂ + 3x₃)
We apply Newton's second law to this center of mass
dp / dt = M a
d (M v_{cm}) / dt = M a
let's find the speed of the center of mass
v_{cm} = 1 / 6m (m v + 2m 0 - 3m v)
v_{cm} = ⅓ v
M d v_{cm}/ dt = M a
d v_{cm} / dt = a
at the center of mass the external force of the system is applied, which is the force of gravity
dv_{cm} / dt = g
therefore the result
a = g
The correct answer is d