1. If a0.4kg object hanging from a spring stretches it by0.90m, then by how much will the spring be stretched (in m) if a0.8kgobject is suspended from it? ...............m

2. On aircraft carriers, catapults are used to accelerate jet aircraft to flight speeds in a short distance. One such catapult takes a18,300-kgjet from 0 to65m/sin2.7s.(Assume the catapult acts in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.)

(a) What is the acceleration of the jet in m/s²?..................m/s² What is the acceleration of the jet ing's?.............g (b) How far does the jet travel while it is accelerating?.................m (c) How large is the force that the catapult must exert on the jet?................N

3. A child weighs 306 N. What is the child's mass in kilograms?

..........kg

What is the child's mass in slugs?

............slugs

4.The mass of a certain elephant is 3,867 kg.

(a) Find the elephant's weight in newtons.............. N (b) Find its weight in pounds.........lb

5. A motorcycle and rider have a total mass equal to 335 kg. The rider applies the brakes, causing the motorcycle to accelerate at a rate of

8 m/s².

What is the net force on the motorcycle? (Indicate the direction with the sign of your answer.) ................... N

6. The Kingda Ka roller coaster in New Jersey is the world's tallest ride of its kind. As the passenger cars are launched from rest at the start, they are accelerated uniformly to a speed of 57 m/s (128 mph) in just 3.5 s. (Assume the cars are launched in the positive horizontal direction. Indicate the direction with the sign of your answer where appropriate.)(a) What is the acceleration experienced by passengers on this ride in m/s²? ............ m/s² What is the acceleration experienced by passengers on this ride in g's? ................g (b) If a certain passenger has a mass of 66 kg, what is the force in newtons that acts on him during the launch phase of this ride? ................ N What is the force in pounds that acts on him during the launch phase of this ride? .................lb

7. A jet aircraft with a mass of 4,750 kg has an engine that exerts a force (thrust) equal to 59,000 N.(a) What is the jet's acceleration when it takes off? (Give the magnitude.) ............m/s² (b)What is the jet's speed after it accelerates for 9 s? (Assume it starts from rest.) .................m/s (c) How far does the jet travel during the 9 s? ........... m

8. A race car rounds a curve at 50 m/s. The radius of the curve is 428 m, and the car's mass is 700 kg. (Assume the car's speed remains constant. Take the radially inward direction to be positive. Indicate the direction with the sign of your answer.)(a) What is the car's (centripetal) acceleration? ..............m/s² What is it in g's? ....................g (b) What is the centripetal force acting on the car? ...........N

9. A centripetal force of 240 N acts on a 1,950-kg satellite moving with a speed of 5,100 m/s in a circular orbit around a planet. What is the radius of its orbit? ............ m

10.A mass m is attached to a spring with spring constant k, as shown in the figure below. (For example, if a)50, b)20, c)10, d)20, e)5 then you would enter a>b=d>c>e as your response.)