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Work
Work transfers energy to a system through the forceful manipulation of its state. Do some work on yourself to master this fundamental mode of energy transfer.
The gravitational acceleration is \( g= 10 \text{ m/s}^2 . \)
An object of mass \( m = 8 \text{ kg} \) moves on a frictionless horizontal plane with a velocity (in meters per second) of \[ \vec{v} = 15 \hat{i} + 20 \hat{j}. \]
If a force (in Newtons) of \[ \vec{F} = 4 \hat{i} \] is applied to the object for \( 8 \) seconds, how much work does this force do to the object?
An escalator is moving downward at a constant speed of \( u = 3 \text{ m/s}. \) A man of mass \( m = 46 \text{ kg} \) is running upwards on it at a constant speed of \( v =6 \text{ m/s}. \) If the height of the escalator is \( h =2 \text{ m}, \) how much work does the man do while he runs up the escalator?
A squirrel of mass \( m =12 \text{ kg} \) slides up an inclined plane that makes a \( \theta = 45^\circ \) angle with the horizontal, with an initial velocity of \( v = 6 \text{ m/s}. \) If the coefficient of kinetic friction between the plane and the squirrel's feet is \( \mu = 0.5,\) how much work does friction do to the squirrel until he comes to a stop?
The gravitational acceleration is \( g= 10 \text{ m/s}^2. \)
The gravitational acceleration is \( g= 10 \text{ m/s}^2 . \)