6. A block of ice with mass 4.00 kg is initially at rest on a frictionless, horizontal surface. A worker then applies a horizontal force to it. As a result, the block moves along the x-axis such that its position as a function of time is given by x(t)=at? + Bt³ where a= 0.150 m/s² and B=0.0150 m/s³. (a) Calculate the velocity of the object when t=3.00 s. (b) Calculate the magnitude of F when t=3.00s. (c) Calculate the work done by the force during the first 3.00 s of the motion. (Hint: Use calculus.)

Classical Dynamics of Particles and Systems
5th Edition
ISBN:9780534408961
Author:Stephen T. Thornton, Jerry B. Marion
Publisher:Stephen T. Thornton, Jerry B. Marion
Chapter2: Newtonian Mechanics-single Particle
Section: Chapter Questions
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6. A block of ice with mass 4.00 kg is initially at rest on a frictionless, horizontal surface. A
worker then applies a horizontal force to it. As a result, the block moves along the x-axis
such that its position as a function of time is given by x(t)=at? + Bt³ where a= 0.150 m/s?
and B=0.0150 m/s. (a) Calculate the velocity of the object when t=3.00 s. (b) Calculate the
magnitude of F when t=3.00s. (c) Calculate the work done by the force during the first 3.00
s of the motion. (Hint: Use calculus.)
Transcribed Image Text:6. A block of ice with mass 4.00 kg is initially at rest on a frictionless, horizontal surface. A worker then applies a horizontal force to it. As a result, the block moves along the x-axis such that its position as a function of time is given by x(t)=at? + Bt³ where a= 0.150 m/s? and B=0.0150 m/s. (a) Calculate the velocity of the object when t=3.00 s. (b) Calculate the magnitude of F when t=3.00s. (c) Calculate the work done by the force during the first 3.00 s of the motion. (Hint: Use calculus.)
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