a) You push a 24 kg shopping cart (from rest) with a force of 150 N through
your arms. Your arms are straight and make a 25 degree angle with respect to
the ground. The friction force is 24 N. What is the acceleration of the cart?
b) You accelerate the cart to a speed of 1.5 m/s, which is the velocity at which
you move down a long aisle. How long does this acceleration take?
c) You then push the cart at a constant velocity for 3 seconds. What is the
pushing force through your arms now? (Assume the same angle.)
d) You trip, lose your grip on the cart, and the cart keeps going. How long
does it take to come to rest?
e) Sketch stacked plots of Fnet vs t, a vs t, and v vs t for the entire motion.
Point out important details.