Answer:
19600 N
Explanation:
weight = mass x gravity
We know that gravity = 9.8 m/s^2 and mass = 2000 kg.
w = m x g
w = 2000 kg x 9.8 m/s^2
w = 19600 N
The weight of the object is 19600 N (newtons).
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!!!
Assuming constant speeds, the P-wave covers a distance <em>d</em> in time <em>t</em> such that
9000 m/s = <em>d</em>/(60 <em>t</em>)
while the S-wave covers the same distance after 1 more minute so that
5000 m/s = <em>d</em>/(60(<em>t</em> + 1))
Now,
<em>d</em> = 540,000 <em>t</em>
<em>d</em> = 300,000(<em>t</em> + 1) = 300,000 <em>t</em> + 300,000
Solve for <em>t</em> in the first equation and substitute it into the second equation, then solve for <em>d</em> :
<em>t</em> = <em>d</em>/540,000
<em>d</em> = 300,000/540,000 <em>d</em> + 300,000
4/9 <em>d</em> = 300,000
<em>d</em> = 675,000
So the earthquake center is 675,000 m away from the seismic station.
The work done on the mass is approximately 1J
<h3>How to calculate work done on mass</h3>
From the question, we are to determine the work done on the mass
The work done can be calculated from the formula for Potential energy
Work done = P.E = mgh
Where m is the mass
g is the acceleration due to gravity (g = 10 m/s²)
h is the height
From the question,
m = 2.0 kg
h = 0.050 m
Putting the values into the question, we get
Work done = 2.0 × 10 × 0.050
Work done = 1 J
Hence, the work done on the mass is approximately 1J
Learn more on how to calculate work done here: brainly.com/question/14460830
Answer: C) In an ecosystem, prey and predator populations affect each other.
Think of cause and effect: The wolves keep the deer population in check because they hunt them. If the wolf population increases, the deer population goes down. If you reduce the number of wolves than the deer population goes up.
Hope this helps :)
