Problem 61P

Astronauts in space “weigh” themselves by oscillating on a spring. Suppose the position of an oscillating 75 kg astronaut is given by x =(0.30 m) sin ((π rad/s) · t), where t is in s. What force does the spring exert on the astronaut at (a) t = 1.0 s and (b) 1.5 s? Note that the angle of the sine function is in radians.

Solution 61P

Step 1 of 5

Using the given position relation, which is during oscillation of a astronaut with mass on a spring. We need to calculate the force exerted by the spring on the astronaut at time and .

Given equation for position,

…………..1

Where is time in seconds.