3. A simple pendulum, 1.00 m in length, is released from rest when the support s

Question

3. A simple pendulum, 1.00 m in length, is released from rest when the support string is at an angle of 35.0° from the vertical. What is the speed of the suspended mass at the bottom of the swing? (g = 9.80 m/s2 and ignore air resistance). Find the change in potential energy.

4. A particle of mass 2 kg moves from point (1,1,3) to point (2,-3,4) under the action of a constant force F=20 N in the negative y-direction. The initial velocity is (2,0,0) m/s , whole the final is (3,-4,0) m/s .

find the work done by F

find the change in kinetic energy

find the work done by friction ignoring gravity

find the change in gravitational potential energy (z vertical) e.

find the work done by friction is gravity is included

Explanation / Answer

we know the length and angle we can find the initial height,

it means we can find the PE, that PE converts into KE in the mean point, we can find v using formula

mv2/2=mgh

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