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In this lesson, we will learn how to identify Newton's second law of motion as the relationship between an object's mass and its resultant acceleration when a force is applied to it.

Q1:

A soccer ball of mass 0.400 kg is kicked across a field by a player and is given the acceleration a i j = ( 3 . 0 0 + 7 . 0 0 ) / m s 2 .

State the force vector for the applied force on the ball.

What magnitude force was applied to the ball?

At what angle above the horizontal was the force applied?

Q2:

The rocket sled shown in the accompanying diagram has a mass of 2 . 1 0 × 1 0 3 kg. The sled decelerates at a rate of 196 m/s^{2}. What force is necessary to produce this deceleration? Assume that the rockets have finished firing when the deceleration begins.

Q3:

A model helicopter of mass 1.50 kg has a velocity 5 . 0 0 j m/s at the instant 𝑡 = 0 . 0 0 s . The helicopter is uniformly accelerated for 2.00 s. At the end of that interval, it has a velocity of ( 6 . 0 0 + 1 2 . 0 0 ) i j m/s.

What magnitude average force acted on the helicopter between 𝑡 = 0 . 0 0 s and 𝑡 = 2 . 0 0 s ?

At what counterclockwise angle from the positive 𝑥 -direction was the force on the helicopter applied?

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