<h2>0 joules</h2>
Explanation:
Work done is defined as dot product of force and displacement.
Let
denote work done.
Let
denote force.
Let
denote displacement.
So,
It is given that 
It is given that both of them are not moving.
So,
Since 
So,
Answer:
The magnitude of the acceleration is at its maximum value.
Acceleration = 
Explanation:
During simple harmonic motions such as the oscillation of a spring, at the two extremes of the motion, the acceleration of the mass becomes maximum. This is because this is the point where the force on the body is maximum.
The angular velocity 
At points of maximum extension x, the maximum acceleration is given by the formula.

substituting in the value for
, this implies that

⇒
Let x be the time it takes for the trip to be completed given that the speed is y.
When the time is 30 minutes (equal to 0.5 hour) shorter than x, the speed is 8 mph more than the original speed.
The equations that would best represent the given conditions are:
(1) 120 = (x)(y)
(2) 120 = (x - 0.5)(y + 8)
Simplifying,
y = 120/x
Substitute:
120 = (x - 0.5)(120/x + 8)
The value of x from the equation is 3. Thus, if I go with the usual speed, the time it will take me to finish the trip is approximately 3 hours.
Answer:
Magnitude of the resultant force will be 20N in the direction of
.
Explanation:
It's given in the question that two forces have been applied on the object given.
Since force is a vector quantity, therefore, it has magnitude and direction both.


Both the forces are in the opposite directions.
Therefore, magnitude of the resultant force of these forces will be,

= 20 N
And the direction of the resultant force will be towards
.
Therefore, magnitude of the resultant force will be 20N in the direction of
.
Hope this helps And here is the answer for you