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Lesson Worksheet: Newton’s Second Law: Constant Mass Mathematics

In this worksheet, we will practice using Newton’s second law of motion with a particle with constant mass under the action of constant force.


What is the weight of a 178 kg body in newtons? Consider the acceleration due to gravity to be 𝑔=9.8/ms.


A constant force acted on a body of mass 9 kg, such that its speed changed from 58 km/h to 66 km/h in 12 a second. Calculate the magnitude of the force.


A body of mass 37 kg was placed on a smooth horizontal surface where a force 72 N was acting on the body such that its line of action made an angle of 60∘ downward from the vertical. Determine the acceleration of the body π‘Ž and the magnitude of the normal reaction 𝑅. Round your answers to the nearest two decimal places.

  • Aπ‘Ž=62.35/ms, 𝑅=398.60N
  • Bπ‘Ž=1.69/ms, 𝑅=73.00N
  • Cπ‘Ž=1.69/ms, 𝑅=398.60N
  • Dπ‘Ž=62.35/ms, 𝑅=73.00N


The diagram shows a body of mass π‘š kg which moves with a constant acceleration of 0.8 m/s2 under the action of 3 vertical forces. Given that the weight of the body is π‘Š, and the forces are measured in newtons, find π‘š. Use 𝑔=9.8/ms.


A body of mass 478 g has an acceleration of (βˆ’4+3)ij m/s2, where i and j are perpendicular unit vectors. What is the magnitude of the force acting on the body?


A body of mass 30.6 kg was at rest on a smooth horizontal plane. A horizontal force 51 N acted on it for 5 seconds. Determine the body’s speed at the end of the 5 seconds.

  • A6 m/s
  • B8 m/s
  • C253 m/s
  • D32 m/s


A balloon of mass 1,086 kg was ascending vertically at 36 cm/s. If a body of mass 181 kg fell from it, find the distance between the balloon and the body 11 seconds after the body fell. Take 𝑔=9.8/ms .


A body of mass 41 kg was moving along a horizontal road at 14 m/s. A force started acting on the body opposing its motion. As a result, over the next 26 m, its speed decreased uniformly to 12 m/s. Find the magnitude of the force which caused this change in the body’s motion.


A tank of mass 41 metric tons started moving along a section of horizontal ground. The resistance to its motion was 9 newtons per metric ton of its mass, and the magnitude of the force generated by its engine was 1,450 N. Determine the tank’s speed 472 seconds after it started moving rounding the result to the nearest two decimal places.


A hot-air balloon of mass 1.5 metric tons was accelerating vertically downward at 106.2 cm/s2. Given that the acceleration due to gravity is 9.8 m/s2, find the lift force generated by the hot air.

This lesson includes 80 additional questions and 711 additional question variations for subscribers.

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