If the earth's mass were half its actual value but its radius stayed the same, the escape velocity of the earth would be  .
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<h3>What is an escape velocity?</h3>
The ratio of the object's travel distance over a specific period of time is known as its velocity. As a vector quantity, the velocity requires both the magnitude and the direction. the slowest possible speed at which a body can break out of the gravitational pull of a certain planet or another object.
 The formula to calculate the escape velocity of earth is given below:-

Given that earth's mass was half its actual value but its radius stayed the same. The escape velocity will be calculated as below:-

  .
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Therefore, If the earth's mass were half its actual value but its radius stayed the same, the escape velocity of the earth would be  .
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Answer:
7.2 cm
Explanation:
magnetic field, B = 0.301 T 
speed, v = 7.92 x 10^5 m/s 
mass, m = 4.39 x 10^-27 kg 
q = 1.6 x 10^-19 C
The radius of singly changed ion is given by 

where, m is the mass of ion, v be the speed of ion, B is the magnetic field and q be the charge 

r = 0.072 m 
r = 7.2 cm 
 
        
             
        
        
        
Answer:
a) 

b) 
Explanation:
The net force on the car must produce the centripetal acceleration necessary to make this circle, which is  . At the top of the circle, the normal force and the weight point downwards (like the centripetal force should), while at the bottom the normal force points upwards (like the centripetal force should) and the weight downwards, so we have (taking the upwards direction as positive):
. At the top of the circle, the normal force and the weight point downwards (like the centripetal force should), while at the bottom the normal force points upwards (like the centripetal force should) and the weight downwards, so we have (taking the upwards direction as positive):

Which means:

The limit for falling off would be  , so the minimum speed would be:
, so the minimum speed would be:

 
        
             
        
        
        
Answer:
Part a)
Width of the slit is

Part b)
Ratio of intensity is given as

Explanation:
Part a)
As we know by the formula of diffraction we will have

so we have


so we will have


Part b)
As we know that the intensity in diffraction pattern is given as


so for angle 45 degree



 
        
             
        
        
        
In physics, work is defined as the total energy when an object is moved to a certain displacement by the application of external force. It is calculated by the expression W = Fd. For this case, the displacement is apparently zero, then there is no work in the system above.