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

What is the weight of a 178 kg body in newtons? Consider the acceleration due to gravity to be .

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 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 downward from the vertical. Determine the acceleration of the body and the magnitude of the normal reaction . Round your answers to the nearest two decimal places.

The diagram shows a body of mass 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 , and the forces are measured in newtons, find . Use .

A body of mass 478 g has an acceleration of m/s², where and 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.

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 .

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.