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NOTE:
* means multiplication
/ means division
^ means raise to power
√ means square root
(1)
Mass = 20g = (20/100)kg = 0.02kg
Extension = 5cm = (5/100)m = 0.05m
K = 200N/
V = ?
1/2mv² = 1/2ke²
V = √ke²/m = √200×0.05×0.05/0.02
V = √25
V = 5m/s
=====================================
(2a)
P is initial velocity in m/s
β is angle of projection
H is maximum height
R is Range
(2b)
R = P²sin2β/g
at maximum range, sin2β = 1
=> Rmax = p²/g
This happens at β = 45degree
=====================================
(3)
(i) magnetic declination
(ii) magnetic inclination
(iii) horizontal components
==========================================
(9ai)
Latent heat is energy released or absorbed, by a body or a thermodynamic system, during a constant-temperature process.
(9aii)
(i)surface area in contact with atmosphere
(ii)nature of the liquid
(9bi)
The rate of absorption of heat by clay pot is less than the rate of absorption of heat by plastics. Also, water gets evaporated in a clay pot which the evaporation causes cooling; so water in a clay pot remains cool
(9bii)
An increase in pressure in the cooker increase the ambient temperature in the cooker hence the food cooks faster
(9c)
(i) Change in the state of a substance
(ii) Increase in temperature
(9di)
Heat supplied = m1
lvt = m1
12*40*1400=1.5*1
L=12*40*1400/1.5
L=672000/1.5= 448,000J/kg
Laten heat of fusion of the body = 4.48*10^5J/Kg
(9dii)
lvt=mc D tita
12*40*72=1.5*c*60
C=12*40*72/1.5*60
C=384J/Kg/K
Specific heat capacity of the body =384J/Kg/K
========================================
(11)
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11ai)
A dielectric is an electrical insulator that can be polorised by an applied electric field.
11aii)
Given that A = 9.6*10^-3M^2
d = 2.25*10^4
Eo = 8.85*10^-12 F/m
Er = 900
C = /
using; C = EoErA/d
Capacity, C = 8.85*10^-12*900*9.6*10^-3/2.25*106-4
C = 33984 * 10^-11
C = 3.3984 8 10
8b)
If their distance and masses are doubled their corresponding force would also be doubled and the work done respectively
I.e.Workdone=Force * distance
Force= Mass * Acceleration
W= Mg * d
| Increase
8c)
-Acceleration due to gravity
– At maximum height, final velocity is zero
8d)
i)pushing someone on a swing.
ii)Tuning a radio to a particular frequency.
10a)
A wave front is an imaginary surface passing through the points of a medium oscillatory in phase
1)
-decrease in height (h)
-increase in time (t)
-this shows that distance changes with time
3)
i)Brownian motion
ii)Atomic size
iii)Expansion
2)
given that U=15m3^-1
R=U* sqr2h/g
h=20m
g=10
R=15*sqr2*20/10
R=15*sqr40/10
R=15*sqr4
R=15*2=30m
R=30m
4)
L1=14cm F1=4N,F2=6N
L2=4cm, Lo=?
Using hooke’s law
4/14-Lo*6/4-Lo
4(4-Lo)=6(14-Lo)
16-4Lo=64-6Lo
-4Lo+6Lo=64-16
2Lo=48
Lo=48/2
Lo=24Cm
5a)
i)force
ii)length
5b)
by increasing the density mosquitoes lavrva than the density of water
6)
A)Energy efficient- so far the best light for interior lighting
B)Low production cost (of tubes, not of the ballasts)
C)Long life of tubes
7)
i)It requires low voltage sources for it to function
ii)It cannot be easily broken
iii)It is cheaper and quite easy to manufacture
12ai)
Nuclear fission is a nuclear reaction in which a heavy nucleus splits spontaneously or on impact with another particle, with the release of energy.
12aii)
A graphite reactor is a nuclear reactor that uses carbon as a neutron moderator, which allows un-enriched uranium to be used as nuclear fuel.
12b)
Boron rods are used in nuclear reactors to control the fission rate of uranium and plutonium. They are composed of chemical elements such as boron, silver, indium and cadmium that are capable of absorbing many neutrons without themselves fissioning.
12c)
Liquid sodium serves as coolant in a nuclear fission reactor
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