Two masses hang freely over a pulley. their masses are 6.5 kg and 11 kg. find the acceleration of each mass and the tension in the rope if friction is neglected.

Accleration of masses =

Tension in rope = 80.158 Newtons

Explanation:

Applying Newtons second law to both the masses we have

For 6.5 kg  mass we have

Similarly for 11 kg mass applying Newton's second law yields

Now since both the masses are connected by same string and the pulley is friction less the acceleration of both the masses shall be same and the tension in the string shall have unique value

thus solving equation i and ii by adding them we get

Using this value of accleration in any equation we obatin the value of tension as

answer: 802.3 kilo joules of energy represents 191.75 kilo calorie of energy.

explanation:

energy released during combustion of one mole methane = 802.3 kilo joules

if 1 kilo joule = 0.239006   kilo calorie

then ,802.3 kilo joule will be = 802.30.239006 kilo calorie

802.3 kilo joule = 191.75 kilo calorie

hence, the energy in kilo calorie is 191.75 kilo calorie.