Arugby player runs with the ball directly toward his opponent's goal, along the positive direction of an x axis. he can legally pass the ball to a teammate as long as the ball's velocity relative to the field does not have a positive x component. suppose the player runs at speed 3.5 m/s relative to the field while he passes the ball with velocity v with arrowbp relative to himself. if v with arrowbp has magnitude 5.6 m/s, what is the smallest angle it can have for the pass to be legal?

minimum angle is 128.69°

Explanation:

given data

player velocity with respect ground v1 = 3.5 m/s

ball velocity with respect himself v2 = 5.6 m/s

to find out

smallest angle

solution

we know ball velocity with respect field will be

ball velocity = v1  +v2

ball velocity = 3.5 + 5.6 = 9.1m/s

we consider angle that player hit ball is θ

then by as per figure triangle

cosθ =

cosθ =

θ = 51.31

so minimum angle is 180 - 51.31 = 128.69°

the motion of a pendulum is a classic example of mechanical energy conservation. a pendulum consists of a mass (known as a bob ) attached by a string to a pivot point. as the pendulum moves it sweeps out a circular arc, moving back and forth in a periodic fashion.

  the unit of the measure =

explanation:

  the property that is quantified by the energy needed per of material to raise the temperature by one.

  si unit of energy = joule (j)

  si unit of temperature = kelvin (k)

  si unit of mass of material = kilogram (kg)

the property that is quantified by the energy needed per of material to raise the temperature by one is called specific heat.

the unit of specific heat is