Two objects are connected by a light string passing over a light frictionless pulley as shown in Figure 2 ject of mass 5.00 kg is released from rest. Using the princi- ple of conservation of energy, (a) determine the speed of the 3.00-kg object just as the 5.00-kg object hits the ground. (b) Find the maximum height to which the 3.00-kg object rises. The ob- = lu m = 5.00 kg m2 = 3.00 kg h = 4.00 m

A bolt gun contains a spring of spring constant k = 19 N/m which is used to fire a bolt of mass m. The bolt leaves the gun at a speed of v = 6.7 m/s after the spring is compressed 1 cm. (a) What is the weight, F, in Newtons, of the bolt? h y What is the bolt's speed when it hits the floor vf, in m/s, if it is fired horizontally at a height of h = 2 meters? What angle, in degrees, does the bolt's final velocity make with the horizontal? d X 0 X

Imagine that you ski down a slope wearing a Velcro ski vest and then continue skiing on a horizontal surface a bottom of the hill. There you run into a padded, Velcro-covered cart, which is also on skis (see the figure below). A 1280-N/m spring is attached to the other end of the cart and also to a wall. The spring compresses after your 60-kg body hits and sticks to the 20-kg cart. Your speed is 16 m/s just before you hit the cart. (a) What is your maximum speed after joining with the cart? (b) What is the maximum compression of the spring? (c) What is the period of the vibrational motion? (d) What is your maximum acceleration and where does it occur? Sketch and translate Draw a labeled sketch. mYou = 60 kg VYou i x = 16 m/s %3D k =12Joyce AbdenCart 20 kg %3D Vfx = ? A = ? During vibrations T = ? %3D after collision amax = ?

2. Calculate the speed of the 2kg block at point D. Work is done from A to B, and friction is B to C. It starts from rest and coefficient of friction is 0.1 A Fapp=40N 1.2m B 1.1m 3. The 2kg ball hits the wall and bounces back as shown. Draw the interacting forces. If the contact time was .1 seconds, calculate the force on the ball and wall. -3m/s 1m 4m/s

A high jumper, falling at 4.0 m/s, lands on a foam pit and comes to rest, compressing the pit 0.40 m. If thepit is able to exert an average force of 1200 N on the high jumper in breaking the fall, what is the jumper'smass? (60 kg)

A 6.30-kg object is initially moving so that its x-component of velocity is 6.00 m/s and y-component of velocity is -1.60 m/s. (a) What is the kinetic energy of the object at this time? (b) Find the change in kinetic energy of the object it its velocity changes so that its new x-component is 8.50 m/s and its new y-component is 5.00 m/s.

3. An object of mass, m = 56 kg starts to slide from rest on a curved ramp from height, H = 37 m above the end of the ramp (as shown in the figure). Consider the ramp to be frictionless and neglect the effects of air resistance. H yend of ramp (a) What is the speed of the object at the end of the ramp? (b) If the velocity of the object at the end of the ramp makes an angle 0 = 21° with the horizontal, what is maximum height, h of its jump above the end of the ramp?

Tarzan (80 kg) drops from a height of 2.5 m to swing down and pick up Jane.  If he picks up Jane (60 kg) with an inelastic collision, determine the following. The velocity just before picking up Jane. (7.1 m/s) The velocity just after picking up Jane.  (4.04 m/s) The percentage of energy lost when picking up Jane.  (43%) The height (h), after picking up Jane.  (0.82 m)

An outfielder throws a 0.150 kg baseball at a speed of 26.0 m/s and an initial angle of 30.0°. What is the kinetic energy of the ball at the highest point of its motion? upuonal) ?

3. A body loses 5693 J of potential energy in falling through 65.5 m. Calculate the mass of the body. (The acceleration due to gravity is 9.81 m/s) fot