Use the impulse-momentum change theorem to calculate forces, impulses, momentum changes, and final speeds.
Natasha's 9-iron collides with the 0.0543-kg ball with an average force of 229 N. The ball is set in motion at 35.1 m/s. Determine the length of time the face of the club was in contact with the ball.
Important: Enter at least three significant digits.
Time
s
Nathaniel is South's third baseman. In the game against cross-town rival North, a line drive was heading towards Nathaniel at 33.8 m/s. He quickly raised his glove and caught the 0.159-kg ball with stiffly held arms, bringing it to rest after 0.0465 seconds of contact. What average force did Nathaniel apply to the ball?
Force
N
At one time according to the Guinness Book of World Records, the fastest recorded baseball pitch was delivered by Nolan Ryan in 1974. The pitch was clocked at 45.0 m/s (100.9 mi/hr). Determine the impulse required to give a 0.145-kg baseball such a momentum.
Impulse
N•s
Lee Mealone, a hermit, pushes a 201 kg boulder towards the wall of his cave at a speed of 2.65 m/s. The moving boulder is brought to a stop in 1.02 seconds. What was the magnitude of the impulse imparted to the boulder? (No + or - signs.)
Tyrone, South's 76.3-kg halfback, is moving with a speed of 6.56 m/s when he collides mid-air with New Greer Academy's middle linebacker. If Tyrone experiences a resistive force of 822 N over a time period of 1.24 s, then determine his final speed. Enter a positive number.
Final Speed
m/s
In South's CSL Championship game, Ray – South's 78.5-kg tight end - was moving with a speed of 5.72 m/s when he collided mid-air near the goal line with an opposing player. If Ray experiences a force of 893 N over a time period of 0.259 s, then determine Ray's momentum change. (No + or - signs.)
Momentum Change
kg•m/s
During a trip home on an icy day, Charlie loses control of his 1047-kg car while moving at 12.1 m/s. He collides with a parked car and is brought to a stop in 0.484 seconds. Find the average force exerted on the car during the collision.
Average Force
A 3230-kg Ford F150 is moving with a speed of 30.4 m/s. The Incredible Hulk stops the pickup truck in 0.287 seconds. What is the average force exerted upon the pickup truck during this incredible halt?
NASA's Langley Research Center has been experimenting with the use of air bags to soften the landings of crew exploration vehicles (CEV) on land. What stopping time will be required in order to safely stop a 7290 kg CEV moving at 6.88 m/s with an average force of 428652 N (an average force of 6.0 Gs)?
In a study conducted by a University of Illinois researcher, the football team at Unity High School in Tolono, IL was equipped for an entire season with helmets containing accelerometers. Information about every impact in practice and in games was sent to a computer present on the sidelines. The study found that the average force on a top of the head impact was 1780 N and endured for 7.82 milliseconds. Using a head mass of 5.71 kg and presuming the head to be a free body, determine the velocity change experienced in such an impact. (Magnitude only; no + or - signs.)
Velocity Change
Be careful of units.