A crate of mass $ 10.0 $ $ \text{kg} $ is pulled up a rough incline with an initial speed of $ 1.50 $ $ \text{m/s} $. The pulling force is $ 100 $ $ \text{N} $ parallel to the incline, which makes an angle of $ 20.0^{\circ} $ with the horizontal. The coefficient of kinetic friction is $ 0.400 $, and the crate is pulled $ 5.00 $ $ \text{m} $.

Question

A crate of mass $ 10.0 $ $ \text{kg} $ is pulled up a rough incline with an initial speed of $ 1.50 $ $ \text{m/s} $. The pulling force is $ 100 $ $ \text{N} $ parallel to the incline, which makes an angle of $ 20.0^{\circ} $ with the horizontal. The coefficient of kinetic friction is $ 0.400 $, and the crate is pulled $ 5.00 $ $ \text{m} $.(a) How much work is done by the gravitational force on the crate?
, (b) Determine the increase in internal energy of the crate–incline system owing to friction.
, (c) How much work is done by the $ 100 $ $ \text{N} $ force on the crate?
, (d) What is the change in kinetic energy of the crate?
, (e) What is the speed of the crate after being pulled $ 5.00 $ $ \text{m} $?
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Jason · Accepted Answer

$-1.68\times10^{2}\text{ J}$
$1.84\times10^{2}\text{ J}$
$5.00\times10^{2}\text{ J}$
$1.48\times10^{2}\text{ J}$
$5.65\text{ m/s}$

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