In , what is the maximum speed a particle could have at .
It never reach ?
Particle's maximum speed is .
It is the change in an object's location with regard to time.
Particle's mass ,
Formula to determine the kinetic energy of a particle ,
= kinetic energy,
= particle's mass
= particle's velocity.
Consider the graph of potential energy against distance,
The peak of the curve between .
It occurs at .
Particle's kinetic energy at must be .
It is if the particle is not allowed to reach at .
The potential energy difference of would be the particle's maximum speed so that it can never reach at .
Potential energy difference,
Particle's maximum velocity,
Hence, maximum speed of particle is .
A sled starts from rest at the top of the frictionless, hemispherical, snow-covered hill shown in FIGURE CP10.74.
a. Find an expression for the sled’s speed when it is at angle .
b. Use Newton’s laws to find the maximum speed the sled can have at angle without leaving the surface.
c. At what angle does the sled “fly off” the hill?
A particle experiences the one-dimensional, conservative force Fx shown in FIGURE .
a. Let the zero of potential energy be at .
What is the potential energy at ? Hint: Use the definition of potential energy and the geometric interpretation of work.
b. Suppose the particle is shot to the right from with a speed of . Where is its turning point?
94% of StudySmarter users get better grades.Sign up for free