Answer:
9000 kg/m³
Explanation:
Density is mass per volume.
D = M / V
D = (9.00 kg) / (0.100 m × 0.100 m × 0.100 m)
D = 9000 kg/m³
M = mass of the whale = 1000 kg
m = mass of the seal = 200 kg
V = initial velocity of whale before collision with the seal = 6.0 m/s
v = initial velocity of the seal before collision with the whale = 0 m/s
V' = final velocity of two sea creatures after collision = ?
Using conservation of momentum
M V + m v = (M + m) V'
inserting the above values in the equation
(1000 kg) (6.0 m/s) + (200 kg) (0 m/s ) = (1000 kg + 200 kg) V'
6000 kgm/s + 0 kgm/s = (1200 kg) V'
V' = (6000 kgm/s ) /(1200 kg)
V' = 5 m/s
Answer:
v = √[gR (sin θ - μcos θ)]
Explanation:
The free body diagram for the car is presented in the attached image to this answer.
The forces acting on the car include the weight of the car, the normal reaction of the plane on the car, the frictional force on the car and the net force on the car which is the centripetal force on the car keeping it in circular motion without slipping.
Resolving the weight into the axis parallel and perpendicular to the inclined plane,
N = mg cos θ
And the component parallel to the inclined plane that slides the body down the plane at rest = mg sin θ
Frictional force = Fr = μN = μmg cos θ
Centripetal force responsible for keeping the car in circular motion = (mv²/R)
So, a force balance in the plane parallel to the inclined plane shows that
Centripetal force = (mg sin θ - Fr) (since the car slides down the plane at rest, (mg sin θ) is greater than the frictional force)
(mv²/R) = (mg sin θ - μmg cos θ)
v² = R(g sin θ - μg cos θ)
v² = gR (sin θ - μcos θ)
v = √[gR (sin θ - μcos θ)]
Hope this Helps!!!
The answers to these questions are:
1. <span>When an individual suffers from anxiety severe enough to DISRUPT HIS DAILY LIFE, he might be suffering from an anxiety disorder.
2. 19 MILLION </span><span>people in the United States suffer from anxiety disorders.
3. I</span><span>f a patient complains that whenever he has to get on a plane he begins to sweat, have chest pain, and nausea, he is most likely suffering from PANIC DISORDER.
4. THAT IT RUNS IN FAMILIES. A lot of researchers and medical professionals believe that anxiety may be hereditary.
</span><span>
5. ANXIETY </span><span>is a state of intense apprehension, uncertainty, and fear resulting from the anticipation of a threatening event or situation.
6. </span><span>A twin is MORE likely to suffer from an anxiety disorder if the other twin has some form of anxiety disorder.
7. </span><span>Generalized Anxiety Disorder (GAD) is characterized by PROLONGED AND EXCESSIVE WORRY EVEN WHEN THERE IS NO APPARENT CAUSE FOR CONCERN.
8. </span><span>Specific Phobia is characterized by EXAGGERATED OR IRRATIONAL FEAR OF OBJECTS OR SITUATIONS THAT ARE NOT GENERALLY HARMFUL.
9. </span>Post-Traumatic Stress Disorder (PTSD) is characterized by <span>FLASHBACKS OR NIGHTMARES.
10. </span>Obsessive-Compulsive Disorder is characterized by OBSESSIVE, IRRATIONAL THOUGHTS THAT INCREASE/INTENSIFY FEELINGS OF ANXIETY.
These answers are based from what I understand from various sources. Hope this helps. :)
