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Answer:
In the vertical direction the acting forces are the normal force and the weight of the bobsleder plus the sled. In the horizontal direction the acting force is the friciton force.
Explanation:
Hi there!
Please, see the attached figure for a graphic representation of the forces acting on the sled after the bobsleder jumped in.
In the vertical direction, the acting forces are the normal force (N) and the weight of the sled plus the bobsledder (W).
Since the sled is not being accelerated in the vertical direction, the sum of forces in that direction is zero:
∑Fy = W + N = 0 ⇒ W = N
The weight is calculated as follows:
W = (mb + ms) · g
Where:
mb = mass of the bobsleder.
ms = mass of the sled.
g = acceleration due to gravity.
In the horizontal direction the only acting force is the friction force (Fr). The friction force is calculated a follows:
Fr = N · μ
Where:
N = normal force.
μ = kinetic friction coefficient.
Since N = W = (mb + ms) · g
Fr = (mb + ms) · g · μ
If we want to find the acceleration of the sled after the bobsleder jumps in, we can apply Newton's second law:
∑F = m · a
Where "a" is the acceleration and "m" is the mass of the object (in this case, the mass of bobsleder plus the mass of the sled).
∑F = Fr = (mb + ms) · g · μ = (mb + ms) · a
(mb + ms) · g · μ = (mb + ms) · a
Solving for "a":
g · μ = a
The gravitational potential energy (G.P.E) of the ceiling fan is 712.95 Joules.
<u>Given the following data:</u>
- Mass of ceiling fan = 7.5 kg
- Height = 0.7 m
<u>Scientific data:</u>
- Acceleration due to gravity = 9.8
To calculate the gravitational potential energy (G.P.E) of the ceiling fan:
<h3>What is gravitational potential energy?</h3>Gravitational potential energy (G.P.E) can be defined as the energy that is possessed by an object or body due to its position (height) above planet Earth.
Mathematically, gravitational potential energy (G.P.E) is given by this formula;
<u>Where:</u>
- G.P.E is the gravitational potential energy.
- m is the mass of an object.
- g is the acceleration due to gravity.
- h is the height of an object.
Substituting the given parameters into the formula, we have;
GPE = 712.95 Joules.
Read more on potential energy here: brainly.com/question/8664733