## Mechanical equivalent of heat – problems and solutions

1. 2 kcal (kilocalorie) = ….. calorie ? Solution 1 kcal = 1000 calorie 2 kcal = 2 (1000 calorie) = 2000 calorie 2. 4 Calorie = ….. calorie ? Solution 1 Calorie (a Capital C) = 1 kcal...

## Heat, mass, specific heat, the change in temperature – problems and solutions

1. A 2 kg lead is heated from 50oC to 100oC. The specific heat of lead is 130 J.kg-1 oC-1. How much heat is absorbed by the lead? Known : Mass (m) = 2 kg The specific heat (c)...

## Volume expansion – problems and solutions

Linear expansion is experienced only by solid objects; volume expansion is experienced by all objects, both solid, liquid, and gas. The equation of volume expansion is similar to the equation of linear expansion. Description: Vo = Initial volume, V...

## Area expansion – problems and solutions

1. At 20 oC, the length of a sheet of steel is 50 cm and the width is 30 cm. If the coefficient of linear expansion for steel is 10-5 oC-1, determine the change in area and the final...

## Linear expansion – problems and solutions

1. A steel is 40 cm long at 20 oC. The coefficient of linear expansion for steel is 12 x 10-6 (Co)-1. The increase in length and the final length when it is at 70 oC will be… Known...

## Converting temperature scales (Celsius scale, Fahrenheit scale, Kelvin scale)

1. 50 oC = ….. oF ? Solution At standard atmospheric pressure, the freezing point of water is 0 oC on the Celsius scale and 32 oF on the Fahrenheit scale. At standard atmospheric pressure, the boiling point of...

## Hooke’s law – problems and solutions

1. A graph of force (F) versus elongation (x) shown in the figure below. Find the spring constant! Solution Hooke’s law formula : k = F / x F = force (Newton) k = spring constant (Newton/meter) x =...

## Stress, strain, Young’s modulus – problems and solutions

1. A nylon string has a diameter of 2 mm, pulled by a force of 100 N. Determine the stress! Known : Force (F) = 100 N Diameter (d) = 2 mm = 0.002 m Radius (r) = 1...

## Centripetal acceleration – problems and solutions

1. A ball, attached to the end of a horizontal cord, is revolved in a circle of radius 20 cm. The ball around 360o each second. Determine the magnitude of the centripetal acceleration! Known : Angular speed (ω) =...

## Angular acceleration and linear acceleration – problems and solutions

1. A wheel 30 cm in radius rotates at constant 5 rad/s2. What is the magnitude of the linear acceleration of a point located at (a) 10 cm from the center (b) 20 cm from the center (c) on...