What is the acceleration of a 3 kg rock that is thrown with a force of 18 N?
1 answer:
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Answer:
The magnitude of the frictional force between the car and the track is 367.763 N.
Explanation:
The roller coster has an initial gravitational potential energy, which is partially dissipated by friction and final gravitational potential energy is less. According to the Principle of Energy Conservation and Work-Energy Theorem, the motion of roller coster is represented by the following expression:
Where:
,
- Initial and final gravitational potential energy, measured in joules.
- Dissipated work due to friction, measured in joules.
Gravitational potential energy is described by the following formula:
Where:
- Mass, measured in kilograms.
- Gravitational constant, measured in meters per square second.
- Height with respect to reference point, measured in meters.
In addition, dissipated work due to friction is:
Where:
- Friction force, measured in newtons.
- Travelled distance, measured in meters.
Now, the energy equation is expanded and frictional force is cleared:
If ,
,
,
and
, then:
The magnitude of the frictional force between the car and the track is 367.763 N.
The magnetic field vector B generated by the current at an arbitrary point in terms of i, the length element dl, and the vector for the distance r from dl to the point is given by the equation dB = μ0/4 π ∫ (dl x r)/r
The Biot – Savart Law gets its name from Jean-Baptiste Biot and Felix Savart. This is a formula that describes the relationship between force, displacement, and velocity. It plays a huge role in the branch of electromagnetism. This law is used to derive the equation between the magnetic field which is produced due to the flow of a constant electric current.
The equation of Biot – Savart law is
dB = μ0/4 π ∫ {(idl sinΦ)/r2}
Here,
I is the current,
dl is the small length of the wire. As the direction of this length is along the current hence it forms the vector idl.
r is the position vector of the point in question which is drawn from the current element and
Φ is the angle between the two.
<h3>Applications of Biot – Savart Law </h3>• It helps in the calculation of magnetic field in an infinitely long straight wire with constant current,
• Calculation of magnetic field in the center of current carrying arc can be done by this,
• To calculate the magnetic field along the axis of a circular current carrying coil, this law can be used.
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