A 0.250 kg block attached to a light spring oscillates on a frictionless, horizontal table. The oscillation amplitude is A = 0.1
1 answer:
The spring constant, k will be 18 N/m.The ratio of force to one unit of displaced length is known as the spring constant.
<h3>What is the spring constant?</h3>Spring constant is defined as the ratio of force per unit displaced length.
Given data;
Mass of block,m=0.250 k
Amplitude,A = 0.125 m
Velocity,V=3.00 m/
Spring constant,K=?
The formula for the spring constant when the spring is oscillate at the given amplitude A:
Hence, the spring constant, k will be 18 N/m
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5) Due to the conservation of energy / due to the presence of friction
6) The work done is 4000 J
7) The distance travelled by the object is 4 m
8) The potential energy of the bird is 2450 J
Explanation:
5)
For a roller coaster in motion along the track, in absence of friction, the mechanical energy remains constant:
where
U is the potential energy
K is the kinetic energy
At the beginning, the roller coaster is at rest, therefore its kinetic energy is zero and its mechanical energy is just equal to the potential energy:
where m is the mass of the roller coaster, g the acceleration of gravity, and h the height of the roller coaster above the ground at the first hill.
Since this amount of energy remains constant, the roller coaster cannot go to a higher hill: in fact, in that case it would reach a height , but this is not possible, because it would mean that its mechanical energy would be
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6)
The work done when lifting an object is equal to the gravitational potential energy gained by the object:
where
F is the weight of the object
h is the change in height of the object
For the object in this problem, we have
F = 200 N (weight)
h = 20 m (change in height)
Substituting, we find the work done:
7)
The work done when pushing an object in a direction parallel to the motion of the object is given by:
where
F is the magnitude of the force
d is the distance through which the object has travelled through
In this problem, we have:
W = 300 J (work done)
F = 75 N (magnitude of the force)
Solving the equation for d, we find the distance travelled:
8)
The potential energy of an object is the energy possessed by an object due to its position in a gravitational field. Near the Earth's surface, it is given by
where
m is the mass of the object
g is the acceleration of gravity
h is the height of the object relative to the ground
For the bird in this problem, we have:
m = 5 kg (mass)
h = 50 m (height)
Substituting, we find:
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