The resultant force is 4 N to the right.
Answer:
Explanation:
Magnetic Force on the rod F = Bi L
Work done by this force = F X d
= Bi Ld
This energy is converted into both rotational and linear kinetic energy
= 1/2 I ω² + 1/2 mv²
= 1/2 x 1/2 m r²ω²+ 1/2 mv²
= 1/4 m v² + 1/2 mv²
= 3/4 mv²
So according to conservation of energy
Bi Ld = 3/4 mv²
v = 
Answer:
The time taken in years is 
Explanation:
From the question we are told that
The speed is 
The distance from the sun to Pluto is 
Generally the time taken is mathematically represented as
=> 
=> 
Converting to years
=> 
=>
Answer:
114.44 J
Explanation:
From Hook's Law,
F = ke................. Equation 1
Where F = Force required to stretch the spring, k = spring constant, e = extension.
make k the subject of the equation
k = F/e.............. Equation 2
Given: F = 10 lb = (10×4.45) N = 44.5 N, e = 4 in = (4×0.254) = 1.016 m.
Substitute into equation 2
k = 44.5/1.016
k = 43.799 N/m
Work done in stretching the 9 in beyond its natural length
W = 1/2ke²................. Equation 3
Given: e = 9 in = (9×0.254) = 2.286 m, k = 43.799 N/m
Substitute into equation 3
W = 1/2×43.799×2.286²
W = 114.44 J
Answer:
<h3>n(F) = 4</h3>
Explanation:
Cardinality of a set is the number of elements in that set. Given the set.
F= {mango, apple, banana, orange), we are to determine the cardinality of the set i.e the amount of fruit present in the set. Cardinality of the set F is represented as n(F).
Since there are 4 different fruit in the given set F, hence the cardinality of the set F is n(F) = 4
