2. A force of 20 N acts for 8 seconds on a mass of 60Kg. What is the (a) acceleration, (b) final speed, © average speed, (d) distance covered during the 8 seconds.
a) F= m *a : a = 20/60 =1/3 m/s/s. b) use v = u + at: v = 0 + (1/3)*8. c) use x = (u+v)t : x= (0+ 2.67)*8 = 21.33 m ; avg speed = dist. /time = 21.33/8. d) already found this in q. c, maybe i took a long way.
4. Calculate the kinetic energy of a car of mass 1200Kg travelling at 25 m/s. If it brakes to rest at 40 meters, calculate the braking force.
kinetic energy = 1/2 m*v^2 = 375000 J. i would use x = (u+v)*t to give: 40 = (25+ 0) t, t = 40/25 = 1.6s, The change in momentum of the car is: p=mv = 1200*25 = 30000 kgm/s . F= change in momentum/ time = 30000/1.6 = 18750 N. I suspect they want you to do this problem a different way because they asked you to calculate the Ek but i am doing alot about momentum in physics atm so i would use this way and i cant think of another right now.
5. How much heat is released by the combustion of 4Kg of petrol of calorific value 46 MJ/kg?
if one kg gives 46 MJ (million Joules) , then 4kg of petrol must give how many MJ?
6. A sonar beam is radiated from a ship and an echo is received after 0.9 seconds. If the speed of sound in the water is 1400 m/s, how far away is the reflecting surface?
for this use speed = distance/time. speed = 1400m/s and time = 0.9 s, therefore distance = 1400 *0.9 = 1260 m, however, this is the distance traveled by the sonar beam, not the distance of the ship to the bottom, which is half this distane for your answer.
incase you were unfamiliar, in the motion equations v = final velocity, u = final velocity and x = displacement
sorry if there is any mistakes there, hope it helps
ps. These really aren't confusing problems, you should read more of your text book to understand them.