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
 
        
             
        
        
        
<span>from a trough to the rest position and from a crest to the rest position.
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Answer:
Since 2 pi = 360 deg and pi equals 180 deg, 30 deg = pi / 6.
S = theta * R = pi / 6 * 3 cm = 1.57 cm 
 
        
             
        
        
        
Answer:
Zero
Explanation:
Two long parallel wires each carry the same current I in the same direction. The magnetic field in wire 1 is given by :

Magnetic force acting in wire 2 due to 1 is given by :


Similarly, force acting in wire 1 is given by :
 According to third law of motion, the force acting in wire 1 will be in opposite direction to wire 2 as :
According to third law of motion, the force acting in wire 1 will be in opposite direction to wire 2 as :

So, the total magnetic field at the point P midway between the wires is in what direction will be zero as the the direction of forces are in opposite direction.   
 
        
             
        
        
        
Answer:
1.8 cm
Explanation:
 = mass of the singly charged positive ion = 3.46 x 10⁻²⁶ kg
 = mass of the singly charged positive ion = 3.46 x 10⁻²⁶ kg 
 = charge on the singly charged positive ion = 1.6 x 10⁻¹⁹ C
 = charge on the singly charged positive ion = 1.6 x 10⁻¹⁹ C
 =Potential difference through which the ion is accelerated = 215 V
 =Potential difference through which the ion is accelerated = 215 V
 = Speed of the ion
 = Speed of the ion 
Using conservation of energy 
Kinetic energy gained by ion = Electric potential energy lost

 = Radius of the path followed by ion
 = Radius of the path followed by ion
 = Magnitude of magnetic field = 0.522 T
 = Magnitude of magnetic field = 0.522 T
the magnetic force on the ion provides the necessary centripetal force, hence 
