If 64 is term #1 of the sequence,
then the general term is
<em> T(n) = 50 + 14n </em>.
Answer:
2.09 rad/s
Explanation:
Given that,
A toy car makes 4 laps in 12 s.
We need to find the angular velocity of the toy car. We need to find the angular velocity of the toy car.
4 laps = 25.13 rad
So,

So, the angular velocity of the toy car is 2.09 rad/s.
Answer:
16.8 seconds
Explanation:
Given that:
Constant speed of rabbit = 4.2 m/s
Initial Velocity (u) of cat = 0
Acceleration (a) of cat = 0.5 m/s²
Time it takes cat to catch rabbit ;
Using the relation:
Distance moved by rabbit (Dr) :
Dr = speed * time ; Dr = 4.2t
Distance moved by Cat (Dc) :
Dc = ut + 0.5at^2
Dc = 0 + 0.5at^2
Hence, Cat will catch rabbit when Dr = Dc
4.2t = 0.5at^2
4.2t = 0.5(0.5)t^2
4.2t = 0.25t^2
Divide both sides by t
4.2 = 0.25t
t = 4.2 / 0.25
t = 16.8 seconds
Hence, the cat will catch the rabbit after 16.8 seconds
Answer:
Explanation:
let the charge is q. velocity, v = 24.7 m/s
magnetic force, F = 2.38 x 10^-4 N
Let the magnetic field is B.
Velocity, v' = 5.64 m/s
angle, θ = 21.2°
The force experienced by a charged particle placed in a magnetic field is given by
F = q x v x B x Sinθ
in first case
2.38 x 10^-4 = q x 24.7 x B x Sin 90 .... (1)
in second case
F = q x 5.64 x B x Sin 21.2° .... (2)
Divide equation (2) by equation (1), we get

F = 1.97 x 10^-5 N