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1. Calculate the momentum of a 265 kg motorcycle traveling at 25 m/s.

Physics-Problem Solving Entries

Key Idea

Momentum

Stock of Data

P=m-v, m=265kg, v=25 m/s

Solution

P=265 x 25= 6625k

Sanity Check

6625k/265= 25

1. A rubber ball (1 kg) falls from a height of 10 m and collides elastically with the floor. What is the velocity of the ball as it rebounds from the floor?

Physics-Problem Solving Entries

Key Idea

Elastic collision

Stock of Data

V=2, 1/2mv^2=mgh, v= square root of 2gh

Solution

v= square root of 2 x 9.8 x 10= 14m/s

Sanity Check

14^2= 196

1. Two clay balls collide and stick. Ball 1 has a mass of 10 kg and an initial velocity of 10 m/s in the positive x direction. Ball 2 has a mass of 20 kg and an initial velocity of 5 m/s in the negative x direction. What is the final velocity of the combined mass?

Physics-Problem Solving Entries

Key Idea

Momentum

Stock of Data

(m1+m2)v=m1v1+m2v2

Solution

v= (10x10)-(20 x 5)/ (10+20)

Sanity Check

The masses combined will stop

1. Two clay balls collide and stick. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 20 kg and an initial velocity of 5 m/s in the negative x direction. What is the final velocity of the combined mass?

Physics-Problem Solving Entries

Key Idea

Initial velocity/ momentum

Stock of Data

(m1+m2)v=m1v1+m2v2

Solution

30v=50-100, 30v= -50, v=-1.6m/s

Sanity Check

-1.6 x 30= -50

1. Two rubber balls undergo an elastic collision. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 10 kg and is stationary. What is the final velocity of the two balls, v_1f,and v_2f?

Physics-Problem Solving Entries

Key Idea

Elastic Collision

Stock of Data

M1= 10kg, V1= 5m/s, M2= 10kg

Solution

v2f-v1f= 5

Sanity Check

10 x 5= 10v1f +10(5+v1f), v1f=0m/s

1. A ceiling fan turns at a rate of 20 RPM what is its speed in radians per second, and the speed of a tip of a 50 cm fan blade in m/s?

Physics-Problem Solving Entries

Key Idea

Momentum

Stock of Data

20RPM, 50cm fn blade in m/s

Solution

v=w x r, v= 0.5 x 2pi/3= 1.047= 1.05

Sanity Check

1.05m/s / 2pi/3= 0.5

1. Calculate the angular momentum of a 265 kg motorcycle traveling at 25 m/s. traveling around a circular curve 500 m in radius

Physics-Problem Solving Entries

Key Idea

Momentum

Stock of Data

P=mvr, m=265kg, v=25 m/s, r=500

Solution

P=265 x 25 x 50= 331250 kg m/s

Sanity Check

1. A ceiling fan turns at a rate of 20 RPM. A 1 gram bug hangs on to the end of a 50 cm fan blade. What is the magnitude of the frictional force between the bug's feet and the blade?

Physics-Problem Solving Entries

Key Idea

Momentum/ magnitude

Stock of Data

Fc= mv^2/r, 20RPM, 50cm fan blade

Solution

Fc= 0.001 x (2pi/3) x 0.5= 0.0022N

Sanity Check

1. A wrench 30 cm long is attached to a nut and bolt. You exert a 15 N force on the wrench. What is the maximum torque you can exert under these conditions?

Physics-Problem Solving Entries

Key Idea

Torque/momentum

Stock of Data

Torque= f x d

Solution

15N x 0.3m= 4.5 N/m

Sanity Check

4.5/0.3= 15N

1. A uniform beam of length 10 m and mass 100 kg is supported by pylons on either end. A 200 kg box is centered at 5 m from the left end of the beam. What is the downward force on the left most pylon?

Physics-Problem Solving Entries

Key Idea

Mass, pylons

Stock of Data

w= 100 x 9.8= 980N, wbox= 200 x 9.8=1960N, 1960N+980N=2940N

Solution

F= 0.5 x 2940= 1470N

Sanity Check

1470/0.5=2940N