The addition of any numbers of vector provide the magnitude as well as the direction of the resultant vector, hence the mentioned first option is not true.
The addition of vector required to connect the head of the one vector with the tail of the other vector and any vector can be moved in the plane parallet to the previous location, so, the mentioned second and third options are true.
Answer:
Change in potential energy is 700.7 J.
Explanation:
Given:
Mass of the object is,
kg
Height to which the object is raised above his head,
m
Acceleration due to gravity is,
m/s²
We know that for a mass
raised to a height
, the change in potential energy is given as:
, where, 
Now, plug in the given values and solve.

Therefore, the change in the potential energy is 700.7 J.
Answer:
Tangential speed, v = 2.64 m/s
Explanation:
Given that,
Mass of the puck, m = 0.5 kg
Tension acting in the string, T = 3.5 N
Radius of the circular path, r = 1 m
To find,
The tangential speed of the puck.
Solution,
The centripetal force acting in the string is balanced by the tangential speed of the puck. The expression for the centripetal force is given by :



v = 2.64 m/s
Therefore, the tangential speed of the puck is 2.64 m/s.