For numerical problems be sure to account for sig-figs and units in your final answer.

Please show all work.

Constants: g = 9.81 m/s²

Question 1: How much force is required to stop a 25kg object, initially moving at 15m/s, in 1.2 seconds?

Question 2: How long will it take to accelerate a 4115 kg truck from rest to 27.5m/s if the engine applies 9220N of force?

Question 3: A block of mass 1.8kg slides to the right at a speed of 2.25m/s along a frictionless surface toward a second, stationary block with a mass of 3.2kg.

1. If the collision is head-on (one dimension) and completely inelastic (blocks stick together), what are the speed and direction of the blocks after the collision?

• If the collision is head-on and completely elastic, what are the speed and direction of each block after the collision?

Question 4: A 0.445kg block is sliding along a frictionless surface with a velocity given by                             v = -1.22  î + 1.22  ĵ. A second block of mass 0.741kg is also sliding along the frictionless surface, toward the first block, with a velocity given by v = 1.05  î

1. After the collision, the 0.445kg block has a velocity given by v = 0.25  ĵ , what is the final velocity of the 0.741kg block, in rectangular form ( î , ĵ form)

• Is the collision in part b elastic? If not, what is the change in kinetic energy of the system during the collision?

Question5: Consider the following system. A block with a small mass of m₁ = 1.6 kg is sliding across a frictionless table with an initial velocity of 1.6 m/s. The pendulum, which has a length of L = 1.08 m and a mass of m₂ = 3.9 kg is at rest in the vertical position. After the collision, the 1.6kg mass has reversed direction and still has a speed of 1.6 m/s.

1. Calculate the speed of the pendulum mass, m₂, at the bottom of its swing, the instant after the collision.

• Calculate the maximum height that the pendulum mass, m₂, will achieve, after the collision?

• Now assume that the initial speed of the m₁ mass is unknown but that after the collision, it will still have the same, unknown value (but moving in the opposite direction, as in the original problem). What would that initial speed need to me for m₁ so that the m₂ pendulum mass just barely makes a complete circle

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