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A tractor pulls a harrow (a ploughing tool) of mass m1 with a net force F resulting in an acceleration of a1. The same tractor pulls a trolley of mass m2 with a force F producing an acceleration of a2. If the tractor now pulls the trolley with the harrow placed on it (with the same force F), then obtain an expression for the resulting acceleration in terms of a1 and a2. Ignore friction.
From Newton's second law, m1 equals F divided by a1 and m2 equals F divided by a2. When the harrow is placed on the trolley, total mass becomes m1 plus m2, which is F divided by a1 plus F divided by a2. The resulting acceleration a equals F divided by total mass, which simplifies directly to the proRead more
From Newton’s second law, m1 equals F divided by a1 and m2 equals F divided by a2. When the harrow is placed on the trolley, total mass becomes m1 plus m2, which is F divided by a1 plus F divided by a2. The resulting acceleration a equals F divided by total mass, which simplifies directly to the product a1 a2 divided by the sum a1 plus a2.
For more NCERT Solutions of Class 9 Science Exploration Chapter 6 How Forces Affect Motion Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/science/exploration-chapter-6/
See lessAn object of mass 2 kg moving with a constant velocity of 10 m s-1 encounters a rough patch where the force of friction on the object is 7 N. At the same time, an additional constant force of 3 N opposing the motion is applied on the object. After entering the rough patch, how much distance does the object travel before coming to rest?
Both the frictional force of 7 N and the additional force of 3 N oppose motion, producing a total retarding net force of 10 N. By Newton's second law, dividing 10 N by 2 kg gives an acceleration of minus 5 m s-2. Using the kinematic equation v squared equals u squared plus 2 a s, 0 equals 100 minusRead more
Both the frictional force of 7 N and the additional force of 3 N oppose motion, producing a total retarding net force of 10 N. By Newton’s second law, dividing 10 N by 2 kg gives an acceleration of minus 5 m s-2. Using the kinematic equation v squared equals u squared plus 2 a s, 0 equals 100 minus 10 s, yielding a distance of 10 meters.
For more NCERT Solutions of Class 9 Science Exploration Chapter 6 How Forces Affect Motion Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/science/exploration-chapter-6/
See lessAn ace footballer converted a penalty shot by kicking the football with a speed of 108 km h-1. The estimated force they imparted was 800 N. The mass of the football was 0.4 kg. Calculate the time of contact between their foot and the ball.
The speed of 108 km h-1 converted to SI units equals 30 m s-1. The ball starts from rest, so its change in momentum equals mass times final velocity, which is 0.4 kg multiplied by 30 m s-1, equaling 12 kg m s-1. Since force equals change in momentum divided by time, dividing 12 by 800 N yields a conRead more
The speed of 108 km h-1 converted to SI units equals 30 m s-1. The ball starts from rest, so its change in momentum equals mass times final velocity, which is 0.4 kg multiplied by 30 m s-1, equaling 12 kg m s-1. Since force equals change in momentum divided by time, dividing 12 by 800 N yields a contact time of 0.015 seconds.
For more NCERT Solutions of Class 9 Science Exploration Chapter 6 How Forces Affect Motion Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/science/exploration-chapter-6/
See lessAn increase in income always leads to a rise in demand for goods. Defend or refute, giving reasons for the same.
I refute this statement because demand does not rise for every product when income increases. While higher household income raises the demand for normal and luxury goods, it reduces the demand for inferior or low-quality goods. As consumers experience rising purchasing power, they substitute low-graRead more
I refute this statement because demand does not rise for every product when income increases. While higher household income raises the demand for normal and luxury goods, it reduces the demand for inferior or low-quality goods. As consumers experience rising purchasing power, they substitute low-grade commodities with better alternatives, proving that demand for certain products can actually decline as income rises.
For more NCERT Solutions of Class 9 Social Science Chapter 9 The Price Puzzle What Drives the Market Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/social-science/
See lessIf petrol prices double, what happens to a) Demand for diesel cars b) Demand for electric cars c) Demand for car accessories d) Demand for public transport
Demand for diesel cars and electric cars increases because consumers seek cheaper substitute options to avoid high running expenses. Demand for car accessories tied to petrol vehicles decreases because they are complementary goods used alongside cars. Meanwhile, demand for public transport rises sigRead more
Demand for diesel cars and electric cars increases because consumers seek cheaper substitute options to avoid high running expenses. Demand for car accessories tied to petrol vehicles decreases because they are complementary goods used alongside cars. Meanwhile, demand for public transport rises significantly as commuters switch to more affordable substitute travel methods to manage escalating daily travel budgets.
For more NCERT Solutions of Class 9 Social Science Chapter 9 The Price Puzzle What Drives the Market Question Answer (2026-27)
https://www.tiwariacademy.com/ncert-solutions/class-9/social-science/
See less