Answer:
Tangential speed = 157 m/s
Explanation:
Tangential speed = Angular speed x Radius
Angular speed = 7.85 x 10⁴ rad/s
Radius = 2 mm = 2 x 10⁻³ m
Tangential speed = Angular speed x Radius = 7.85 x 10⁴ x 2 x 10⁻³
Tangential speed = 15.7 x 10 = 157 m/s
Tangential speed = 157 m/s
The net force on the barge is 8000 N
Explanation:
In order to find the net force on the badge, we have to use the rules of vector addition, since force is a vector quantity.
In this problem, we have two forces:
- The force of tugboat A,
, acting in a certain direction - The force of tugboat B,
, also acting in the same direction
Since the two forces act in the same direction, this means that we can simply add their magnitudes to find the net combined force on the barge. Therefore, we get

and the direction is the same as the direction of the two forces.
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Answer:
force on the wire of section cm will be 
Direction of force on the wire will be in south direction
Explanation:
We have given current in the wire i = 1 A
Magnetic field strength B = 0.6 T
We have to find the force on 1 cm section of the wire so l = 1 cm = 0.01 m
Force on the wire containing current is equal to


So force on the wire of section cm will be 
Direction of force on the wire will be in south direction
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