A body having uniform velocity has zero acceleration? give reason
2 answers:
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Answer:
a . 0.35cm
b. 11.33cm
Explanation:
a. Given both currents are in the same direction, the null point lies in between them. Let x be distance of N from first wire, then distance from 2nd wire is 4-x
#For the magnetic fields to be zero,the fields of both wires should be equal and opposite.They are only opposite in between the wires:
Hence, for currents in same direction, the point is 0.35cm
b. Given both currents flow in opposite directions, the null point lies on the other side.
#For the magnetic fields to be zero,the fields of both wires should be equal and opposite.They are only opposite in outside the wires:
Let x be distance of N from first wire, then distance from 2nd wire is 4+x:
Hence, if currents are in opposite directions the point on x-axis is 11.33cm
Answer:
a) We kindly invite you to see the explanation and the image attached below.
b) The acceleration of the masses is 4.203 meters per square second.
c) The tension force in the cord is 28.02 newtons.
d) The system will take approximately 0.845 seconds to cover a distance of 1.5 meters.
e) The final speed of the system is 3.551 meters per second.
Explanation:
a) At first we assume that pulley and cord are both ideal, that is, masses are negligible and include the free body diagrams of each mass and the pulley in the image attached below.
b) Both masses are connected to each other by the same cord, the direction of acceleration will be dominated by the mass of greater mass (mass A) and both masses have the same magnitude of acceleration. By the 2nd Newton's Law, we create the following equation of equilibrium:
Mass A
(1)
Mass B
(2)
Where:
- Tension force in the cord, measured in newtons.
,
- Masses of blocks A and B, measured in kilograms.
- Gravitational acceleration, measured in meters per square second.
- Net acceleration of the each block, measured in meters per square second.
By subtracting (2) by (1), we get an expression for the acceleration of each mass:
If we know that ,
and
, then the acceleration of the masses is:
The acceleration of the masses is 4.203 meters per square second.
c) From (2) we get the following expression for the tension force in the cord:
If we know that ,
and
, then the tension force in the cord:
The tension force in the cord is 28.02 newtons.
d) Given that system starts from rest and net acceleration is constant, we determine the time taken by the block to cover a distance of 1.5 meters through the following kinematic formula:
(3)
Where:
- Net acceleration, measured in meters per square second.
- Time, measured in seconds.
- Covered distance, measured in meters.
If we know that and
, then the time taken by the system is:
The system will take approximately 0.845 seconds to cover a distance of 1.5 meters.
e) The final speed of the system is calculated by the following formula:
(4)
Where is the final speed of the system, measured in meters per second.
If we know that and
, then the final speed of the system is:
The final speed of the system is 3.551 meters per second.
