Back to basics
Systems
Ramping it Up
Circles
Misc
100

The stack of blocks pictured is at rest on the floor. Calculate the net force on the blye block.

Fnet=0N

100

Two carts (2 kg and 4 kg) are connected by a light rope. You pull on the 2 kg cart with a 12 N force on a rough surface (μₖ = 0.1). Find the acceleration of thesystem.

1.02 m/s2

100

A 1kg vase is in the middle of a wooden plank. The static friction coefficient between the vase and the wood is 0.13. If you start lifting the end of the plank, what angle will you have to lift it to (relative to the floor), before the vase slides?

7.4o


100

At what speed will a car just lose contact with a hill of radius 40 m?

19.8 m/s

*When FN=0

mg=mv^2/r

100

A 2 kg object hangs from a string inside a truck that accelerates forward at 3 m/s². What angle will it 

17o

tan(theta)=a/g

200

An apple is hanging from a tree. 

a) What forces act on the apple

b) identify a reaction force for one of these forces

a) Tension + gravity

b) answers will vary, but the "reaction" to Earth pulling down on the apple is the apple pulling up on Earth

200

Write an equation that represents the acceleration of the pulley shown

a=g(M-m)/(M+m)

200

A 5 kg block rests on a 25° incline with μₛ = 0.4. What horizontal force must you apply to the block (pushing into the incline) to keep it at rest?

3.78 N

200

In an effort to become a Tik Tok sensation, Zuki records himself as he tries to cool off a hot turkey by spinning it around his head on a string. The string passes through a frictionless pipe and is tied to a rock that is hanging (and neither rising nor falling). The turkey makes 10 revolutions every 15 seconds. What must be the mass of the rock?

21.9kg

For Turkey: Fnet=mac

T=mT(v2/r)


200

A 72.2kg person is in an elevator (on Earth). Determine what the scale, that conveniently measures in Newton’s, would read at each of the following points:

a) The elevator is accelerating upward at 3.2 𝑚/𝑠2

b) The elevator is moving up at a constant 4 m/s

c) The elevator is accelerating downward at 3.2 𝑚/𝑠2

a) 398.6 N

b) 707.6 N

c) 476.5 N

300

In a spin dryer, which factor causes water to move out of the spinning drum to dry the clothes?

a. centripetal force             b. normal force

c. inertia                           d. friction

c

300

Calculate the tension in each string 

Blue/Green = 100N

Green/ Red= 260 N

300

A 2kg block rests on a ramp that makes an angle of 30° with the horizontal. It is connected by a light, frictionless string to a block (B) hanging over the ramp.

μₖ = 0.20 between the 2kg block and the ramp. When released, the system accelerates up the incline at 1.17 m/s².

What is the mass of the hanging block (B) that produces that acceleration?

1.8 kg

300

**Challenge** (probably) A 250 kg motorcycle is driven around a 12-meter-tall vertical circular track at a constant speed of 11 m/s. Determine the minimum coefficient of static friction needed to complete the stunt.

0.486

*There is no friction at i and iii. Maximum friction force occurs at ii when Ff=Fweight.

FN=FC

300

A race car travels around a frictionless banked curve of radius 65 m. The bank angle is 18°. What speed allows the car to make the turn without slipping up or down the bank?

14.4 m/s

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