Presentation on theme: "Calculation of Gravitational P. E"— Presentation transcript:
1Calculation of Gravitational P. E Example: Suppose the mass of an object is m which is lifted vertically through a height hmWeight of object = m g= mghCalculation of G.P.E:Force needed to lift object = Weight of object=mgWork done = force distance lifted = mg hBut we knowEnergy = Work doneP.E = mgh
2A package of 5kg is lifted vertically through a distance of 10m at a constant speed. Calculate P.E gained by the package.We knowP.E = mgh= 5 10 10= 500JHere,m =5 kgg =10 m/s2h =10 mP.E = ?A package of 250 kg is lifted vertically through a distance of 3m at a constant speed. Calculate P.E gained by the package.We knowP.E = mgh= 250 10 3= 7500JHere,m =250 kgg = 10 m/s2h =3 mP.E =?
3Calculation of Kinetic Energy (K.E.) A bullet of mass 0.02 kg travels at a speed of 1200 m/s. Calculate its K.EWe knowHere,m = 0.02 kgv = 1200 m/sEk=?
4A bullet can break one object A bullet can break one object. If the velocity of the bullet make twice of its initial velocity then find the number of the object it be can able to break.Suppose, mass of bullet = mInitial velocity = vFor 1st caseFor 2nd case;need for object““ “1“ “= 4 object ans“
5Here, m = 2 kg t = 2 sec g =10 m/s2 u = 0 Ek=? Ep=? A packet of 2kg mass is dropped from 50m height. Find P.E and K.E after 2 sec.Here,m = 2 kgt = 2 secg =10 m/s2 u = 0Ek=?Ep=?50 m above total energy = P.E= mgh= 2 50 10= 1000JAfter 2 sec velocityv - u = g tv = u + g t= 2 = 20 m/sAfter 2 sec K.EansBut hereP.E + K.E = 1000JP.E = 1000 – K.E = 1000 – 400 = 600J ans
6Suppose you see two electric kettles which are rated at 1000W and 500W respectively. Then which one is more powerful and why?Ans: The 1000W electric kettle is more powerful. If we put a similar amount of water into these two electric kettle to boil then the 1000W electric kettle will take less time than 500W electric kettle.Calculate the power of a pump which can lift 200kg of water through a vertical height of 6m in 10SWe knoww = mgh= 20010 6= 12000JHerem = 200kgh = 6mg = 10Nagain we know
7A boy whose mass is 40kg finds that he can run a flight of 45 steps each of 16cm high, in 5.2s. Find the power walking upstairs.We knoww = mgh= 4010 7.2= 2880JHerem = 40kgh =(4516)cm =720cm =7.2mg = 10Nagain we knowAn electric heater is rated at 250W. Calculate the quantity of heat generated in 10 minutes.E = P t =250 600=1.5 105Jans
8An electric motor in a washing machine has a power output of 1. 0 kW An electric motor in a washing machine has a power output of 1.0 kW. Find the work done in half an hour.W = Pt= (1.0103)(30 60)= 1.8 106JansExplain the statement:“A 100W lamp is more powerful than a 60W lamp”