ENERGY AND MOMENTUM: What is the final velocity of the hovering disk?

Q: A disk of mass 0.5 kg slides with a constant velocity of 2.4 m/s over an air table before colliding with an elastic band. If the band exerts an average force of 1.4 Newtons on the disk for 1.5 seconds, what is the final velocity of the disc? A1: The disc will experience aContinue reading “ENERGY AND MOMENTUM: What is the final velocity of the hovering disk?”

KINEMATICS: Where Will The Daredevil Land?

Q: A stuntman equipped with a parachute rides a bicycle over the edge of a 500.0-meter building. The combined mass of the stuntman and his bicycle is 90.0 kg. If the bike moves at 24.2 m/s as it leaves the building’s edge, at what distance from the building’s base must a cushion be placed inContinue reading “KINEMATICS: Where Will The Daredevil Land?”

FORCE AND ACCELERATION: Pulleys, Tension, Friction, and Free-Body Diagrams

Q: Three objects are connected by ropes that pass over massless and frictionless pulleys. As the objects move, the table exerts a force of friction on the middle object. The coefficient of kinetic friction is 0.100. What is the acceleration of the three objects within the system? What is the magnitude of the tension inContinue reading “FORCE AND ACCELERATION: Pulleys, Tension, Friction, and Free-Body Diagrams”

ENERGY and MOMENTUM: How Fast Will the Block Move When a Compressed Spring is Released?

Q: A spring with a spring constant k = 100 N/m is compressed a distance ( x ) = 100 mm. A block with a mass ( m ) = 0.250 kg is placed next to the spring. The surface upon which the block rests is frictionless and horizontal. When the spring and block areContinue reading “ENERGY and MOMENTUM: How Fast Will the Block Move When a Compressed Spring is Released?”

FORCE AND ACCELERATION: The Gravitational Force of Attraction

Q: An arbitrary distance separates two objects of equal mass. If the mass of each object is doubled, and the distance between the two objects is tripled, how will the force of attraction between the two objects change? A: This question regards the gravitational force of attraction that exists between two objects with well-defined massesContinue reading “FORCE AND ACCELERATION: The Gravitational Force of Attraction”

KINEMATICS: The ” architecture of motion. “

Q: A mass m is moving horizontally across the surface of the earth with a velocity of ( v ) = 30 m/s . The mass approaches a ledge with an edge situated 100 m above the ocean. The mass eventually moves off the ledge and falls until it reaches the ocean’s surface. Calculate theContinue reading “KINEMATICS: The ” architecture of motion. “”

KINEMATIC EQUATIONS: What is the ball’s speed when it’s caught by the goalie?

Q: A soccer player kicks the ball toward a goalie that is 29.0 m in front of him. The ball leaves his foot at a speed of 19.5 m/s and at an angle of 33.4° relative to the ground. Find the speed of the ball when the goalie catches it in front of the net.Continue reading “KINEMATIC EQUATIONS: What is the ball’s speed when it’s caught by the goalie?”

KINEMATICS: What Initial Velocity is Needed to Propel a Projectile Over a Barrier?

Q: The highest barrier that a projectile can clear is 13.7 m, when the projectile is launched at an angle of 10.5° above the horizontal. What is the projectile’s launch speed? A: Recall that a projectile that travels in a curvilinear path has components of motion in the ( x ) and ( y )Continue reading “KINEMATICS: What Initial Velocity is Needed to Propel a Projectile Over a Barrier?”

KINEMATICS: How Far Will a Fired Projectile Travel?

Materials needed: ( 1 ) Spring-loaded cannon; ( 2 ) ruler; ( 3 ) timer The goal will be to determine how far a model cannon’s projectile will travel. First, we will theoretically determine the muzzle velocity ( vm ) of our model cannon. Position the cannon horizontally upon a table. Measure the vertical distanceContinue reading “KINEMATICS: How Far Will a Fired Projectile Travel?”