A small child is riding on the MGR as shown (at the edge). a) Show the direction
ID: 1622984 • Letter: A
Question
A small child is riding on the MGR as shown (at the edge). a) Show the direction of the force acting on the child rightarrow to keep it moving around on the MGR (Show on Fig. 5) b) The child has a mass of 25 kg and can grip with a maximum force of 350 N. What is the maximum speed that the MGR can turn without throwing the child off (losing her grip)? Newton's second law can be written as: F = dp/dt where "p" is momentum, and "t" is time. Suppose the momentum expression is written as: p = p_0 e^-Bt where p_0 and B are constants. a) Write an expression based on this momentum for the Force which was being exerted on the object: b) Suppose values of the constants are: p_0 = 200 kg meter/sec; B = 0.03 sec What would the momentum of the object be 60 sec after the "start'' time (t = 0)?Explanation / Answer
(A) F = dp/dt
= d(p0 e^-Bt) / dt
= - B p0 e^(-Bt)
(B) p = p0 e^(-Bt)
putting values,
p = (200 kg m / s) e^(-0.03 x 60)
p = 33.06 kg m/s