'1. Determine the element created] and its atomic number and mass number when Lead-204 undergoes alpha decay. producing a stable isotope. Write the nuclear reaction equation for this alpha decay. lead 204 => 2me 32 2. A m Ck is thrown vertically upwards at 67 111/3. Find the height at which the m Ck is go i11g 23 111/3 [down]. SOLVE USING KINETIC Ex POTENTML ENERGY PLEASE Assume no air resistance. 3. An 80.0 kg student running at 3 .5 1115s J'UIVIPS up 2m into the air and grabs a rope that is hanging vertically up 2111 from the ground. [ignore his height and assume his center of gravity is where he is holding the rope). How high 'on] the ground will the student swing? SOLVE USING ENERGY PLEASE.r Assume no air resistance. 20 m 1": 4. A 10.0 kg block is released from rest down a 30'\" ramp. It slides 8.0111 along the ramp. Your careful measurements show that the Frictional force is lN and the distance is 8.0m. So 1614182128] of energy is dissipated due to Friction as it slides 8.0111 to the bottom. What is its speed after sliding to the bottom of the ramp? ' OLVE USING ENER ' 'f 10 It] 8m \f4. 10 kq from trigonometry 8m h = 8 m x sin 30 30 gh = 4m on It is at sest initially ( so it has potential energy initially From conservation of total energy mgh = Imv' + friction heal- 9 mgh = + my 2 + 128 95 mv- - mah - 128 = 10 x 9 . 8 x 4. - 128= 264 9 V 2 x 264 m/ s 10 a v - V 52 . 8 m / s A V - 7.26 m/s (At the bottom ) ( Answer )5. from radioactivity = 5730 years N = No ( Z t/tyz, ty, N= 50%. No ON = No t / tyz = /2 So , No - NoX 2 2 Comparing exponents t/ ty , = 1t = 5 730 years (Answer) The creature died 5730 years ago