PLEASE HELP! and include steps of how you solved it!

What magnitude of force, acting for 0.025 s, will change the velocity of a 100 g ball from 30 m/s eastward to 40 m/s westward?

force*time=mass*changeinvelocity

force*time=mass*(40W-30E)

magnitudeforece=mass/time(sqrt(40^2+30^2))

The magnitude of the momentum change is 0.1 kg * 50 m/s = 5 kg m/s.

(Think about the 3:4:5 velocity vector right triangle)

Divide the momentum magnitude change by the time interval to get the average force (or the actual force, if it is assumed constant).

F = 5/0.025 = 200 N

To solve this problem, you can use the equation of motion, specifically Newton's second law:

Force (F) = Mass (m) x Acceleration (a)

First, convert the mass given in grams to kilograms:
Mass (m) = 100 g = 100/1000 kg = 0.1 kg

Next, calculate the change in velocity:
Change in velocity = Final velocity - Initial velocity
Change in velocity = 40 m/s westward - 30 m/s eastward
Change in velocity = -70 m/s

Now, we need to find the acceleration of the ball. Given that the force acts for 0.025 seconds, we can use the equation:

Acceleration (a) = Change in velocity / Time

Substituting the values:

Acceleration (a) = -70 m/s / 0.025 s
Acceleration (a) = -2800 m/s²

Finally, substitute the mass value and calculated acceleration into the equation F = m * a:

Force (F) = 0.1 kg * -2800 m/s²
Force (F) = -280 N

Therefore, the magnitude of the force required to change the velocity of the 100 g ball from 30 m/s eastward to 40 m/s westward is 280 N.