How much work was done by the gravitational force on the cart as it rolls to the bottom of the incline? Suppose that this ball escaped from the roulette wheel while in the position shown, what will be the direction of the motion of the ball as it exits the wheel? With what velocity would this rocket have to be launched from the surface of Callisto in order to go into orbit around Callisto at an altitude of 4, km.? The great astronomer Edwin Hubble discovered that all distant galaxies are receding from our Milky Way Galaxy with velocities proportional to their distances. How much energy was lost as the bullet was lodged in the block of wood? A rugby player passes the ball 7.

What is the total energy content of this rocket while orbiting at this altitude? What is the magnitude of the centripetal force acting on this ball? What will be the magnitude of the final velocity v 4 of m2 after the collision? What will be the speed of the ball just as it reaches the spring on the ground? This determination is equivalent to find the components of the displacement along the east and north directions. The mass is then released and is allowed to be thrown up into the air. How long will it take to hit the ground?

A seagull flies at a velocity of 9. How long after the ball is thrown will the ball be found meters above the ground? This is where it gets interesting.

An airplane has an airspeed of mph and has a heading of What will be the rate of acceleration of the cart as it moves up the incline?

What relative direction between them produces the resultant with the smallest magnitude? Determine the resultant of the following two vectors! He maintains his horizontal velocity. What could be done to improve the thermal efficiency of this engine? A car, which has a mass of kinemaitcs is moving with a speed of The diagram below shows a meter stick resting on two ring stands.

This method kinematicw wrong, not because the method itself is wrong, but because it doesn’t apply to this situation. How far downrange will the projectile be 3. What will be the magnitude of the frictional force between m2 and the horizontal surface?

How much work is done on the stopper by the force applied by the string during Identifying graphs for projectiles. A scissors jack is a common configuration for a simple jack used to lift a car to replace a flat tire.

## Two-dimensional motion

A metal bar, which is 4. Under what circumstances can you end up at your starting point? What is the spring constant for this homeworm What would be a reasonable estimated error on the slope of this line?

Consider a bridge which is 38 meters long, weighs 34 tons and is supported at each end by a concrete pier. Construct Your Own Problem Consider a ball tossed over a fence. A mass of 8.

# Two-dimensional motion | Physics | Science | Khan Academy

How much elastic potential energy will be stored in the spring? How much energy must be dumped in order for this rocket to go into orbit around Saturn at the given altitude? With what minimum speed would you have to run in order to catch up twp the train? What should the velocity of this jet be in order for it to arrive at its destination on time?

## 3: Two-Dimensional Kinematics (Exercises)

What is the height of the building? There’s an interesting sideline to this question that astute readers might have noticed when looking at the first ratio in the chain of three shown above.

On the diagram to the left label all of the forces acting on the rider. Suppose that this boat was aimed directly up stream. What is the height of this incline?

What is the rate of acceleration of this block? The rubber stopper is measured to complete 10 revolutions in 8.