Answer:
77.35 m / s
Ф = -17° from + X axis or 343° from + X axis
Explanation:
v1 = 75 m/s 25° east of north
v2 = 100 m/s 25° east of south
Write the velocities in vector form ,we get


Now add the velocity vectors to get the resultant of the velocities.



magnitude of resultant velocity is 
= 77.35 m / s
The direction is Ф from X axis

Ф = -17° from + X axis or 343° from + X axis
Answer:
The magnitude of the frictional force is 
Explanation:
From the question we are told that
The force exerted on the box is 
Generally for the box to remain at rest then it means that the frictional force is greater than or equal to the force applied to move it i.e

=> 
The answer would be A) True.
Answer:
100 m
Explanation:
Arthur and Betty should be walking the same amount of time if they start walking at the same time and stop when they meet = t
Speed of Arthur = 3 m/s
Speed of Betty = 2 m/s
Distance = Speed × time
Distance covered by Arthur = 3t
Distance covered by Betty = 2t
The distance covered by both of them will be 100 m

The speed of dog is 5 m/s
Spot is running back and forth at 5 m/s for 20 seconds
In 20 seconds the distance covered by the dog is

To solve this problem it is necessary to apply the concepts related to rotational kinetic energy, the definition of the moment of inertia for a sphere and the obtaining of the radius through the circumference. Mathematically kinetic energy can be given as:

Where,
I = Moment of inertia
Angular velocity
According to the information given we have that the radius is



With the radius obtained we can calculate the moment of inertia which is



Finally, from the energy equation and rearranging the expression to obtain the angular velocity we have to



Therefore the angular speed will the ball rotate is 25.95rad/s