1. According to the potential energy-displacement graph in Fig. 7.39, total mechanical energy is fixed at 30 J. At point P, the graph indicates potential energy is 20 J, leaving 10 J for kinetic energy, which gives a speed of 6.32 m s-1. At point Q, potential energy is 30 J, meaning kinetic energy is 0Read more

    According to the potential energy-displacement graph in Fig. 7.39, total mechanical energy is fixed at 30 J. At point P, the graph indicates potential energy is 20 J, leaving 10 J for kinetic energy, which gives a speed of 6.32 m s-1. At point Q, potential energy is 30 J, meaning kinetic energy is 0 J and velocity is 0 m s-1. The ball cannot reach R.

     

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  2. Using the speed-time graph in Fig. 7.38, the car moves with uniform speed at 35 m s-1 from time 0 to 1 second between A and B. Its kinetic energy at A is half multiplied by 1000 kg multiplied by 35 squared, equaling 612500 J. Between B and C, the brakes bring speed to zero, doing minus 612500 J of wRead more

    Using the speed-time graph in Fig. 7.38, the car moves with uniform speed at 35 m s-1 from time 0 to 1 second between A and B. Its kinetic energy at A is half multiplied by 1000 kg multiplied by 35 squared, equaling 612500 J. Between B and C, the brakes bring speed to zero, doing minus 612500 J of work, dissipating energy as heat and sound.

     

    For more NCERT Solutions of Class 9 Science Exploration Chapter 7 Work, Energy and Simple Machines Question Answer (2026-27)

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  3. The maximum height attained by an object thrown vertically upward is given by initial velocity squared divided by twice the gravitational acceleration. With the same initial velocity, height is inversely proportional to gravity. Because lunar gravity is one-sixth of terrestrial gravity, the height rRead more

    The maximum height attained by an object thrown vertically upward is given by initial velocity squared divided by twice the gravitational acceleration. With the same initial velocity, height is inversely proportional to gravity. Because lunar gravity is one-sixth of terrestrial gravity, the height reached on the Moon is six times the height on Earth, calculating to six times 8 m, which equals 48 m.

     

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  4. From Fig. 7.37, initial kinetic energy of 180 J yields an initial speed of 6 m s-1. The work done equals the area under the force-displacement graph, calculated as half times the sum of parallel sides 2 m and 4 m multiplied by height 50 N, giving 150 J. Final kinetic energy becomes 330 J, giving a sRead more

    From Fig. 7.37, initial kinetic energy of 180 J yields an initial speed of 6 m s-1. The work done equals the area under the force-displacement graph, calculated as half times the sum of parallel sides 2 m and 4 m multiplied by height 50 N, giving 150 J. Final kinetic energy becomes 330 J, giving a speed of 8.12 m s-1 at 4 m. Acceleration remains non-negative throughout.

     

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  5. During upward motion, gravity opposes displacement giving negative work, while downward gravity aligns with displacement giving positive work. Initial kinetic energy is half mass velocity squared, equaling 400 J. Gravitational work to 19.4 m equals minus m g h, which is minus 388 J. By the work-enerRead more

    During upward motion, gravity opposes displacement giving negative work, while downward gravity aligns with displacement giving positive work. Initial kinetic energy is half mass velocity squared, equaling 400 J. Gravitational work to 19.4 m equals minus m g h, which is minus 388 J. By the work-energy theorem, net work equals change in kinetic energy, revealing that air resistance does minus 12 J of work.

     

    For more NCERT Solutions of Class 9 Science Exploration Chapter 7 Work, Energy and Simple Machines Question Answer (2026-27)

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