## Newton’s second law of motion – problems and solutions

Solved problems in Newton’s laws of motion – Newton’s second law of motion  1. A 1 kg object accelerated at a constant 5 m/s2. Estimate the net force needed to accelerate the object. Known : Mass (m) = 1 kg Acceleration (a) = 5 m/s2 Wanted : net force (∑F) Solution : We use Newton’s …

## Normal force – problems and solutions

Solved problems in Newton’s laws of motion – Normal force  1. An object resting on a table, shown in the figure below. Mass of the object is 1 kg. Acceleration of gravity is 9.8 m/s2. Determine the normal force exerted on the object by the table. Known : Mass (m) = 1 kg Acceleration of …

## Mass and weight – problems and solutions

Solved problems in Newton’s laws of motion – Mass, and weight 1. The weight of a 1 kg mass at the surface of the Earth is… g = 9.8 m/s2 Known : Mass (m) = 1 kg The acceleration due to gravity at the surface of the Earth (g) = 9.8 m/s2 Wanted: weight (w) …

## Up and down motion in free fall – problems and solutions

Solved Problems in Linear Motion – Up and down motion in free fall 1. A person throws a ball upward into the air with an initial velocity of 20 m/s. Calculate how high it goes. Ignore air resistance. Acceleration due to gravity (g) = 10 m/s2. Solution We use one of these kinematic equations for …

## Down motion in free fall – problems and solutions

Solved Problems in Linear Motion – Down motion in free fall 1. A ball is thrown vertically downward with initial speed 10 m/s and reach the ground in 2 seconds. Find final speed just before the ball hits the ground. Acceleration of gravity (g) = 10 m/s2. Ignore air resistance. Known : Initial velocity (vo) …

## Freely falling objects – problems and solutions

Solved Problems in Linear Motion – Freely falling objects 1. An object dropped from the top of a cliff. It is seen to hit the ground below after 3 seconds. Determine its velocity just before hitting the ground. Acceleration of gravity is 10 m/s2. Ignore air resistance. Known : Initial velocity (vo) = 0 (object …

## Motion with constant acceleration – problems and solutions

Solved Problems in Linear Motion – Constant acceleration 1. A car accelerates from rest to 20 m/s in 10 seconds. Determine the car’s acceleration! Solution Known : Initial velocity (vo) = 0 (rest) Time interval (t) = 10 seconds Final velocity (vt) = 20 m/s Wanted : Acceleration (a) Solution : vt = vo + …

## Motion with constant velocity – problems and solutions

Solved Problems in Linear Motion – Constant velocity 1. A car travels at a constant 10 m/s. Determine distance after 10 seconds and 60 seconds. Solution Constant speed 10 meters/second means car travels 10 meters every 1 second. After 2 seconds, the car travels 20 meters, After 5 seconds, the car travels 50 meters, After …

## Average speed and average velocity – problems and solutions

Solved Problems in Linear Motion – Average speed and average velocity 1. A car travels along a straight road to the east for 100 meters in 4 seconds, then go the west for 50 meters in 1 second. Determine average speed and average velocity. Solution Distance = 100 meters + 50 meters = 150 meters Displacement …

## Distance and displacement – problems and solutions

Solved Problems in Linear Motion – Distance and displacement  1. A car travels along a straight road 100 m east then 50 m west. Find distance and displacement of the car. Solution Distance is 100 meters + 50 meters = 150 meters Displacement is 100 meters – 50 meters = 50 meters, to the east. …