5. A student throws a 0.1 kg ball into the air. (A) Just after the ball leaves their hand, it has a velocity of 5 m/s. (B) At the peak of its motion, it has a velocity of 2 m/s. Assuming no air resistance, to what height địd the student throw the ball? Also, assume the ball started at h-0 (The zero-reference line is at the starting position of the ball). The energy chart is optional. Poson A Systemfow PastionS Ben Boy KE- 1.2S@A KE 12..1.2 KE- 0.25 @B Etr E, E Ea Et Enen Energy Equation KETGPE KE+GPE A parachutist of mass 50.0 kg jumps out of a stationary balloon at a height of 1,000 meters. The system consists of the parachutist and the Earth, if the parachutist lands with a speed of 5.0 m/s, how much energy was transferred out of the system (so energy transferred to something else)?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
 alt="5. A student throws a 0.1 kg ball into the air. (A) Just after the ball leaves their hand, it has a velocity of 5 m/s.
(B) At the peak of its motion, it has a velocity of 2 m/s. Assuming no air resistance, to what height dịd the
student throw the ball? Also, assume the ball started at h=0 (The zero-reference line is at the starting
position of the ball). The energy chart is optional.
KE- Vz-
Poson A
SystemFlow
Poston
KE- 1.2SJ@ A
KE /2..1.2
KE- 0.25 @B
Etr E, E Ea
Et E, E En
Energy
Equation
KETGPE = KE + GPE
6. A parachutist of mass 50.0 kg jumps out of a stationary balloon at a height of 1,000 meters. The system
consists of the parachutist and the Earth, if the parachutist lands with a speed of 5.0 m/s, how much energy
was transferred out of the system (so energy transferred to something else)?
7. Suppose the spring below has a spring constant of 50. N/m. The box has a mass of 8.0 kg and rests on a
surface of negligible friction.
In the diagram above, the
spring was compressed 4.0 m.
How much energy does the
spring now store?
а.
Initial
Final
b. Suppose that all the elastic energy was transferred to the box when it was released (diagram at
right). How fast would the box be moving?
8. The paths of a roller coaster have been provided for different rides. Assuming each of the coasters starts the
path from the same initial height, with the same initial velocity, and no friction; compare the speeds of the
roller coaster for tracks A -D when they arrive at the horizontal section on dashed line final height at the
end of the track (marked with an X). Justify your comparison with basic physics concepts (think about
the energy bar graphs) and indicate any assumptions made.
Initial H
D
C
Final H
A
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