Question

individual: a person is pushing a moving shopping cart uphill. draw one different force the cart feels using one arrow for each picture. label each arrow with the force variable, including where the force comes from and what feels the force. (this is similar as newtons 1st law, pg. 12) now, draw the force pairs for each force arrow below. label each arrow with the force variable, including where the force comes from and what feels the force. 1. gravity 2. normal force 3. kinetic friction 4. push

Explanation:

Step1: Gravity

The force of gravity ($F_g$) acts on the shopping - cart. It comes from the Earth's gravitational pull and acts vertically downwards. The shopping - cart feels this force. The force arrow should be drawn from the center of the cart straight downwards and labeled $F_g$.

Step2: Normal Force

The normal force ($F_N$) is exerted by the surface of the incline on the shopping - cart. It acts perpendicular to the surface of the incline. The cart feels this force. Draw an arrow starting from the point of contact between the cart and the incline, perpendicular to the incline, and label it $F_N$.

Step3: Kinetic Friction

The kinetic friction force ($F_f$) acts on the shopping - cart. It comes from the interaction between the wheels of the cart and the surface of the incline, opposing the motion of the cart. The cart feels this force. Draw an arrow parallel to the incline, pointing downwards (opposite to the direction of motion), and label it $F_f$.

Step4: Push

The push force ($F_{push}$) is exerted by the person on the shopping - cart. It acts in the direction of the person's push, which is up the incline. The cart feels this force. Draw an arrow starting from the point where the person is in contact with the cart, pointing up the incline, and label it $F_{push}$.

Answer:

Draw the arrows as described above for each force: a vertical - downward arrow for gravity labeled $F_g$, a perpendicular - to - the - incline arrow for normal force labeled $F_N$, a downward - along - the - incline arrow for kinetic friction labeled $F_f$, and an upward - along - the - incline arrow for the push force labeled $F_{push}$.