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Free Body Diagrams For each situation, draw a free body ... - the Vault

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Name: ______________________________<br />

Date: ______________________________<br />

Section C D F<br />

<strong>Free</strong> <strong>Body</strong> <strong>Diagrams</strong><br />

Mr. Alex Rawson<br />

Physics<br />

<strong>For</strong> <strong>each</strong> <strong>situation</strong>, <strong>draw</strong> a <strong>free</strong> <strong>body</strong> diagram depicting every force acting upon<br />

<strong>the</strong> object. Clearly note both what <strong>each</strong> force is and <strong>the</strong> direction of <strong>each</strong> force.


Name: ______________________________<br />

Date: ______________________________<br />

Section C D F<br />

<strong>For</strong>ces I<br />

1. What net external force is required to push a 45 kg suitcase with an acceleration of 3.5 m/s 2 to <strong>the</strong> right?<br />

Draw a <strong>free</strong>-<strong>body</strong> diagram of <strong>the</strong> suitcase.<br />

2. What acceleration will you give to a 60 kg box if you push it with a force of 147 N?<br />

3. An 1520 kg car is moving to <strong>the</strong> right at a constant velocity of 5.94 m/s.<br />

a. What is <strong>the</strong> net force on <strong>the</strong> car?<br />

b. What would be <strong>the</strong> net force on <strong>the</strong> car if it were moving to <strong>the</strong> left?<br />

Mr. Alex Rawson<br />

Physics<br />

4. A freight train has a mass of 4.5 10 7 kg. If <strong>the</strong> locomotive can exert a constant pull of 10.5 10 5 N, how<br />

long would it take to increase <strong>the</strong> speed of <strong>the</strong> train from rest to 85 km/h?


5. A 32 kg mass starts from rest and slides down an inclined plane 8.0 10 -1 m long in 0.8 s. What net<br />

force is acting on <strong>the</strong> mass along <strong>the</strong> incline?<br />

6. A 1350 kg car is pulling a 475 kg trailer. Toge<strong>the</strong>r, <strong>the</strong> car and trailer have an acceleration of 2.15 m/s 2<br />

directly forward.<br />

a. Determine <strong>the</strong> net force on <strong>the</strong> car.<br />

b. Determine <strong>the</strong> net force on <strong>the</strong> trailer.


Name: ______________________________<br />

Date: ______________________________<br />

Section C D F<br />

<strong>For</strong>ces II<br />

1. A 5 kg object lies at rest on a bench. If <strong>the</strong> bench were to be lifted, slowly, how would <strong>the</strong> normal force<br />

and static friction force change as <strong>the</strong> angle of inclination increased? Draw <strong>Free</strong> <strong>Body</strong> <strong>Diagrams</strong> for <strong>the</strong><br />

<strong>situation</strong>s below, label forces, axes, Fnet,x , Fnet,y , and calculate FN and Fs for <strong>each</strong>.<br />

a. = 0<br />

b. = 10<br />

c. = 30<br />

d. = 45<br />

Fnet,x =<br />

Fnet,y =<br />

Fnet,x =<br />

Fnet,y =<br />

Fnet,x =<br />

Fnet,y =<br />

Fnet,x =<br />

Fnet,y =<br />

Mr. Alex Rawson<br />

Physics<br />

FN, = 0 =<br />

Fs, = 0 =<br />

FN, = 10 =<br />

Fs, = 10 =<br />

FN, = 30 =<br />

Fs, = 30 =<br />

FN, = 45 =<br />

Fs, = 45 =


2. Two lifeguards pull on ropes attached to a raft. If <strong>the</strong>y pull in <strong>the</strong> same direction, <strong>the</strong> raft experiences a<br />

net external force of 300 N to <strong>the</strong> right. If <strong>the</strong>y pull in opposite directions, <strong>the</strong> raft experiences a net<br />

external force of 135 N to <strong>the</strong> left.<br />

a. Draw a <strong>free</strong>-<strong>body</strong> diagram representing <strong>the</strong> raft for <strong>each</strong> <strong>situation</strong>. This includes <strong>the</strong> forces, Fnet,x<br />

and Fnet,y<br />

b. Find <strong>the</strong> force exerted by <strong>each</strong> lifeguard on <strong>the</strong> raft. (Disregard any o<strong>the</strong>r forces acting on <strong>the</strong><br />

raft.)<br />

3. A 5 kg bucket of water is raised from a well by a rope. If <strong>the</strong> upward acceleration of <strong>the</strong> bucket is 1.2<br />

m/s 2 , find <strong>the</strong> force exerted by <strong>the</strong> rope on <strong>the</strong> bucket of water.<br />

4. A boat moves through <strong>the</strong> water with a 2.9 10 3 N forward push by <strong>the</strong> motor, and a kinetic friction<br />

force caused by <strong>the</strong> water of 1.9 10 3 N.<br />

a. What is <strong>the</strong> acceleration of <strong>the</strong> 1200 kg boat?<br />

b. If it starts from rest, how far will it move in 3 s?<br />

c. What will its velocity be at <strong>the</strong> end of this time interval?


Name: ______________________________<br />

Date: ______________________________<br />

Section C D F<br />

<strong>For</strong>ces III<br />

1. A 52 kg person escapes from a burning building by jumping from a window 35 m above a catching net.<br />

Assuming that air resistance exerts a 95 N force on <strong>the</strong> person during <strong>the</strong> fall, determine <strong>the</strong> person's<br />

velocity just before hitting <strong>the</strong> net.<br />

2. If <strong>the</strong> left cable is inclined at an angle 37 o above <strong>the</strong> horizontal, find <strong>the</strong> force exerted by <strong>each</strong> cable to<br />

support <strong>the</strong> 800 N bag in Figure 4-32.<br />

3. A 94 kg clock is initially at rest on a horizontal floor.<br />

a. If it takes a 656 N horizontal force to set it in motion, find µs.<br />

4.<br />

Mr. Alex Rawson<br />

Physics<br />

b. After <strong>the</strong> clock is in motion, if a horizontal force of 555 N keeps it moving with a constant speed,<br />

find µk.


A 3.50 kg block starts from rest at <strong>the</strong> top of a 30.0° incline and slides 2.60 m down <strong>the</strong> incline in 1.50 s.<br />

a. Find <strong>the</strong> acceleration of <strong>the</strong> block.<br />

b. Find <strong>the</strong> coefficient of kinetic friction between <strong>the</strong> block and <strong>the</strong> incline.<br />

c. Find <strong>the</strong> frictional force acting on <strong>the</strong> block.<br />

d. Find <strong>the</strong> speed of <strong>the</strong> block after it has slid a distance of 2.60 m.<br />

5. The coefficient of static friction between <strong>the</strong> 22 kg crate and <strong>the</strong> 35.0° incline of Figure 4-34 is 0.1.<br />

What is <strong>the</strong> minimum force, F, that must be applied to <strong>the</strong> crate perpendicular to <strong>the</strong> incline to prevent<br />

<strong>the</strong> crate from sliding down <strong>the</strong> incline?

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