The work done by a force on body of mass 5 kg to accelerate it in the direction of force from rest to 20 m/s2 in 10 second is
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Acceleration, Force, and Distance Acceleration (a): The acceleration that causes a speed increase from 0 to 20 m/s in 10 seconds is calculated as: a = v / t = 20 m/s / 10 s = 2 m/s2 Force (F): The force acting on the body, given mass (m) of 100 kg, is: F = m * a = 100 N * 2 m/s2 = 200 N Distance (s): The distance traveled in the given time (10 seconds) is: s = 1/2 * a * t2 = 1/2 * 2 m/s2 * (10 s)2 = 100 m Therefore,
The acceleration is 2 m/s2.
The force acting on the body is 200 N.
The distance traveled in 10 seconds is 100 meters.
acceleration = \(\frac {final \ velocity - initial \ velocity}{time}\) acceleration = \(\frac {20 -0}{10}\)= 2 m/s². Force = mass × acceleration. Given that the mass is 5 kg and the acceleration is 2 m/s²: Force = 5 kg × 2 m/s² = 10 N. Work = Force × Displacement × cos(θ). Displacement = \(\frac {1}{2}\) × acceleration × time² Displacement = \(\frac {1}{2}\) × 2 m/s² × (10 s)² = 100 m. Work = 10 N × 100 m × 1 = 1000 J. Therefore, the work done by the force is 1000 Joules (J). The correct option is (D) 103 J.
Kinetic energy of an object is the measure of the work it does as a result of its motion. Kinetic energy is the type of energy that an object or particle has as a result of its movement. When an object is subjected to a net force, it accelerates and gains kinetic energy as a result. Kinetic energy is a property of a moving object or particle defined by both its mass and its velocity. Any combination of motions is possible, including translation (moving along a route from one spot to another), rotation around an axis, vibration, and any combination of motions.
