One Problem/page, page, Show your work, Box your answers;, Use g 9.8m/s 1. What

Question

One Problem/page, page, Show your work, Box your answers;, Use g 9.8m/s 1. What is the momentum of a garbage truck that is 1.20x10t kg and is moving at 10.0 m/s? At what speed would an 8.00-kg trash-can have the same momentum as the truck? 2. With the aid of a string, a gyroscope is accelerated from rest to 32 rad/s in 0.40 s. What is its angular acceleration? How many revolutions does it go through in the process? 3. A 0.045 kg golf ball at rest on a tee is struck by a golf club with an average force of 34.5 N for 0.052 s. What is the velocity of the ball after the ball was hit by the club? A 30,000-kg freight car is coasting at 0.850 m/s with negligible friction under a hopper that dumps 110,000 kg of scrap metal into it. What is the final velocity of the loaded freight car? How much kinetic energy is lost? 4. An ornament of mass 40.0 g is attached to a vertical ideal spring with a force constant (spring constant) of 20.0 N/m. The ornament is then lowered very slowly until the spring stops stretching. How much does the spring stretch? 5. 6. A 120 Kg merry-go-round (I -1/2 MR2), R 1.25 m and a 45.0 kg child on the edge are rotating at 10.0 revolutions per minute. The child then walks to the center of the merry go-round. What is the rotational speed now?

Explanation / Answer

1. momentum P = mv

for same momentum

MU = mV

V = 1.2*10^4 * 10/(8)

V = 1.5*10^4 m/s

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2. use W = Wo + At

A is angular accelration

A = 32-0)/0.4

A = 80 rad/s^2

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1 rev = 2 pi radians

W = 2pif  

f = no. of revolutions = 32/(2* 3.14)

f = 5.1 Hz

no. of rev = W/2pi = 5.1 rev

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3. Impusle J = force* time = change in momentum

mv = 34.5* 0.052

m(V2 -V1) = 1.794

V2 = 1.794/0.045

V2 = 39.86 m/s

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