Exam 4: Newtons Laws of Motion

Projectiles: What is the maximum distance we can shoot a dart, from ground level, provided our toy dart gun gives a maximum initial velocity of and air resistance is negligible?

Projectiles: While an object is in projectile motion (with upward being positive) with no air resistance

Uniform circular motion: A disk-shaped space station 175 m in diameter spins uniformly about an axis perpendicular to the plane of the disk through its center. How many rpm (rev/min) must this disk make so that the acceleration of all points on its rim is g/2?

Projectiles: A child throws a ball with an initial speed of 8.00 m/s at an angle of 40.0° above the horizontal. The ball leaves her hand 1.00 m above the ground and experience negligible air resistance. (a) How far from where the child is standing does the ball hit the ground? (b) How long is the ball in flight before it hits the ground?

Projectiles: A hockey puck slides off the edge of a table at point A with an initial velocity of 20.0 m/s and experiences no air resistance. The height of the tabletop above the ground is 2.00 m. (a) What is the speed (not the velocity) of the puck just before it touches the ground? (b) What is the distance between point A and the point where the puck hits the ground?

Uniform circular motion: If an object travels at a constant speed in a circular path, the acceleration of the object is

Projectiles: An airplane is flying at a speed of 2.00 × 10² m/s in level flight at an altitude of 8.00 × 10² m. A package is to be dropped from the airplane to land on a target on the ground. Ignore air resistance. (a) At what horizontal distance away from the target should the package be released so that it lands on the target? (b) In what direction relative to the horizontal will the package be traveling when it hits the ground?

Relative velocity: A plane flies directly between two cities, A and B, which are separated by 2300 mi. From A to B, the plane flies into a 65 mi/h headwind. On the return trip from B to A, the wind velocity is unchanged. The trip from B to A takes less than the trip from A to B. What is the airspeed of the plane, assuming it is the same in both directions?

Relative velocity: A small boat is moving at a velocity of when it is accelerated by a river current perpendicular to the initial direction of motion. If the acceleration of the current is 0.750 m/s², what will be the new velocity of the boat after

Projectiles: A hockey puck slides off the edge of a table with an initial velocity of 28.0 m/s. and experiences no air resistance. The height of the tabletop above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground?