A mechanic pushes a 2.00 x 103-kg car from rest to a speed of v, doing 4,830 J of work in the process. During this time, the car moves 29.0 m. Neglecting friction between car and road, find v and the horizontal force exerted on the car. (a) the speed v 1x Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s (b) the horizontal force exerted on the car (Enter the magnitude.) Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. N
Kinematics
A machine is a device that accepts energy in some available form and utilizes it to do a type of work. Energy, work, or power has to be transferred from one mechanical part to another to run a machine. While the transfer of energy between two machine parts, those two parts experience a relative motion with each other. Studying such relative motions is termed kinematics.
Kinetic Energy and Work-Energy Theorem
In physics, work is the product of the net force in direction of the displacement and the magnitude of this displacement or it can also be defined as the energy transfer of an object when it is moved for a distance due to the forces acting on it in the direction of displacement and perpendicular to the displacement which is called the normal force. Energy is the capacity of any object doing work. The SI unit of work is joule and energy is Joule. This principle follows the second law of Newton's law of motion where the net force causes the acceleration of an object. The force of gravity which is downward force and the normal force acting on an object which is perpendicular to the object are equal in magnitude but opposite to the direction, so while determining the net force, these two components cancel out. The net force is the horizontal component of the force and in our explanation, we consider everything as frictionless surface since friction should also be calculated while called the work-energy component of the object. The two most basics of energy classification are potential energy and kinetic energy. There are various kinds of kinetic energy like chemical, mechanical, thermal, nuclear, electrical, radiant energy, and so on. The work is done when there is a change in energy and it mainly depends on the application of force and movement of the object. Let us say how much work is needed to lift a 5kg ball 5m high. Work is mathematically represented as Force ×Displacement. So it will be 5kg times the gravitational constant on earth and the distance moved by the object. Wnet=Fnet times Displacement.
![### Physics Problem: Work and Energy
A mechanic pushes a \(2.00 \times 10^3 \, \text{kg}\) car from rest to a speed of \(v\), doing \(4,830 \, \text{J}\) of work in the process. During this time, the car moves \(29.0 \, \text{m}\). Neglecting friction between the car and road, find \(v\) and the horizontal force exerted on the car.
#### (a) The Speed \(v\)
\[ \boxed{} \]
Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. (units: m/s)
#### (b) The Horizontal Force Exerted on the Car
\[ \boxed{} \]
Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. (units: N)
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### Graphs/Diagrams
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Make sure to check for any underlying errors in your calculations and ensure that your answers conform to the units specified.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7224418-dab7-4e1b-89e5-af8c3fbf27a9%2Fd677964f-0ef4-437e-9b9c-3c8685224b40%2Fks4bc64_processed.png&w=3840&q=75)
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