Two skaters collide and grab onto each other on frictionless ice. One of them (mass = 70.0 kg) is moving to the right at 4.00 m/
s, while the other (mass = 65.0 kg) is moving to the left at 2.50 m/s. What are the magnitude and direction of the velocity of these skaters just after they collide?
1 answer:
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The cart is moving by simple harmonic motion, and its position at time t is described by
where
A is the amplitude of the oscillation
is the angular frequency
The amplitude of the oscillation corresponds to the maximum displacement of the spring, which corresponds to the initial position where the spring was released:
A=0.250 m
The period of the motion is T=5.67 s, and the angular frequency is related to the period by
Therefore now we can calculate the position of the system at the time t=29.6 s:
where
A is the amplitude of the oscillation
The amplitude of the oscillation corresponds to the maximum displacement of the spring, which corresponds to the initial position where the spring was released:
A=0.250 m
The period of the motion is T=5.67 s, and the angular frequency is related to the period by
Therefore now we can calculate the position of the system at the time t=29.6 s: