If two variables are inversely proportional, then when one increases, the other decreases, and vice versa. If a variable, y, is inversely proportional to a variable, x, then y = k/x, where k is the proportionality constant.
Answer:
61.22m
Explanation:
Maximum height in projectile is expressed as;
H = u²sin²θ/2g
u is the speed
g is the acceleration due to gravity
θ is the angle of projection
Substitute the given values into the formula;
H = u²sin²θ/2g
H = 40²sin²60/2g
H = 1600(0.8660)²/2(9.8)
H = 1600(0.8660)²/2(9.8)
H = 1,199.9/19.6
H = 61.22m
Hence the maximum height achieved by the ball is 61.22m
Answer: 0.4 Amps
Explanation:
Voltage of battery = 24 Volts
Current I = ?
Resistance of searchlight (R)= 60ohms (Ω is the symbol for ohms)
Then, apply the formula for ohms law
Voltage = Current x resistance
i.e V = I x R
24V = I x 60Ω
I = 24V / 60Ω
I = 0.4 Amps (Amps is the unit of current)
Thus, the current in the circuit is 0.4 Amps
1 gallon = 231 cubic inches
1 cubic foot = 1728 cubic inches
(55 gal) x (231 in³/gal) x (1 ft³/1728 in³)
= (55 x 231 / 1728) ft³
= 7.352 cubic feet (rounded)
Given:
B = 
T
V=
q = 2.5 × 
C
α = 90
To find:
Force = ?
Formula used:
Force on the moving charge is given by,
F = q V B sin α
Where F = force exerted on moving charge
V = velocity of charge
q = charge
α = angle between direction of V and B
Solution:
F = q V B sin α
Where F = force exerted on moving charge
V = velocity of charge
q = charge
α = angle between direction of V and B
F = 
F = 37.5 × 
F = 3.75 Newton
Thus, the force acting on the moving charge is 3.75 Newton.
