Explanation:
Momentum is conserved.
a) In the first scenario, Olaf and the ball have the same final velocity.
mu = (M + m) v
(0.400 kg) (10.9 m/s) = (70.2 kg + 0.400 kg) v
v = 0.0618 m/s
b) In the second scenario, the ball has a final velocity of 8.10 m/s in the opposite direction.
mu = mv + MV
(0.400 kg) (10.9 m/s) = (0.400 kg) (-8.10 m/s) + (70.2 kg) v
v = 0.108 m/s
Answer: D
Both MMPI-2 and CPI check for serious personality disorders.
MMPI - 2
MMPI - 2 stands for Minnesota Multiphasic Personality Inventory -2. It is the most widely used psychometric test to measure adult psychopathology. MMPI-2 differentiates people with hypochondriasis from normal one. MMPI-2 is able to detect unconsciously somatizing or consciously malingering in patients.
CPI
CPI stands for california psychological inventory. It is a self report inventory created by Harrision G. This test used to test the people, which are 13 years and older. It takes 40 minutes to complete the test. CPI works on "folk-concepts" which means an ordinary people can use it to describe other people around him.
1. Define Newtons second law of motion (this will help put things into perspective)
2.Get the mass of the object (in this case 75 kg)
3.The net force acting on the object...find it (in this case 500 N)
4.Change the equation to F=ma (500=75a)
5.Divide both sides by 75 and that is the acceleration.
Explanation:
We'll need two equations.
v² = v₀² + 2a(x - x₀)
where v is the final velocity, v₀ is the initial velocity, a is the acceleration, x is the final position, and x₀ is the initial position.
x = x₀ + ½ (v + v₀)t
where t is time.
Given:
v = 47.5 m/s
v₀ = 34.3 m/s
x - x₀ = 40100 m
Find: a and t
(47.5)² = (34.3)² + 2a(40100)
a = 0.0135 m/s²
40100 = ½ (47.5 + 34.3)t
t = 980 s