Question

1. a box is being pushed to the right by two people, one pushing with 10 n of force and the other pushing with 50 n of force. a. if another person is pulling the box to the left with 230 n of force, what is the net force on the box? 5. draw free - body diagrams for each of the following: a. a water bottle on a desk b. a water bottle on a desk being pushed down on c. a ball after being dropped d. a chandelier that is not swinging e. a cart being pushed on to the left (it is not moving) f. a cart being pushed to the left (it is moving)

Explanation:

Step1: Calculate the total force to the right

The two - people pushing to the right have forces of 10 N and 50 N. The total force to the right $F_{right}=10 + 50=60$ N.

Step2: Calculate the net force

There is a force of 230 N pulling to the left. The net force $F_{net}=F_{right}-F_{left}$. Substitute $F_{right} = 60$ N and $F_{left}=230$ N into the formula. So $F_{net}=60 - 230=- 170$ N. The negative sign indicates the net - force is to the left.

As for drawing free - body diagrams:
a. A water bottle on a desk: There is the force of gravity $F_g$ acting downwards and the normal force $N$ acting upwards. The free - body diagram shows a dot representing the water bottle, with a downward arrow labeled $F_g$ and an upward arrow of equal length labeled $N$.
b. A water bottle on a desk being pushed down on: There is the force of gravity $F_g$ acting downwards, the normal force $N$ acting upwards which is now greater than $F_g$ (since there is an additional downward - pushing force $F_{push}$), and the additional downward - pushing force $F_{push}$. The free - body diagram has a dot for the water bottle, a downward arrow labeled $F_g$, a longer downward arrow labeled $F_{push}$ and an upward arrow labeled $N$ with $N=F_g + F_{push}$.
c. A ball after being dropped: There is only the force of gravity $F_g$ acting downwards. The free - body diagram shows a dot for the ball with a single downward arrow labeled $F_g$.
d. A chandelier that is not swinging: There is the force of gravity $F_g$ acting downwards and the tension force $T$ in the cord holding it up. The free - body diagram has a dot for the chandelier, a downward arrow labeled $F_g$ and an upward arrow of equal length labeled $T$.
e. A cart being pushed to the left (it is not moving): There is the applied force $F_{applied}$ to the left, the static - friction force $F_s$ to the right, the force of gravity $F_g$ acting downwards and the normal force $N$ acting upwards. The free - body diagram has a dot for the cart, a left - ward arrow labeled $F_{applied}$, a right - ward arrow labeled $F_s$ (with $F_s = F_{applied}$ since it is not moving), a downward arrow labeled $F_g$ and an upward arrow labeled $N$ with $N = F_g$.
f. A cart being pushed to the left (it is moving): There is the applied force $F_{applied}$ to the left, the kinetic - friction force $F_k$ to the right, the force of gravity $F_g$ acting downwards and the normal force $N$ acting upwards. The free - body diagram has a dot for the cart, a left - ward arrow labeled $F_{applied}$, a right - ward arrow labeled $F_k$ (with $F_{applied}>F_k$), a downward arrow labeled $F_g$ and an upward arrow labeled $N$ with $N = F_g$.

Answer:

The net force on the box in question 4 is 170 N to the left. For question 5, free - body diagrams are described as above.