An air-track cart of mass m 1 = 0.14 kg is moving with a speed v 0 = 1.3 m/s to the right when it collides with a cart of mass m 2 = 0.25 kg that is at rest. Each cart has a wad of putty on its bumper, and hence they stick together as a result of their collision Suppose the average contact force between the carts is F = 1.5 N during the collision. (a) What is the acceleration of cart 1? Give direction and magnitude. (b) What is the acceleration of cart 2? Give direction and magnitude. (c) How much time does it take for both carts to have the same speed? (Once the carts have the same speed the collision is over and the contact force vanishes.) (d) What is the final speed of the carts, U f ? (e) Show that m 1 U 0 is equal to ( m 1 + m 2 ) U f . (We shall investigate the significance of this result in Chapter 9 .)
An air-track cart of mass m 1 = 0.14 kg is moving with a speed v 0 = 1.3 m/s to the right when it collides with a cart of mass m 2 = 0.25 kg that is at rest. Each cart has a wad of putty on its bumper, and hence they stick together as a result of their collision Suppose the average contact force between the carts is F = 1.5 N during the collision. (a) What is the acceleration of cart 1? Give direction and magnitude. (b) What is the acceleration of cart 2? Give direction and magnitude. (c) How much time does it take for both carts to have the same speed? (Once the carts have the same speed the collision is over and the contact force vanishes.) (d) What is the final speed of the carts, U f ? (e) Show that m 1 U 0 is equal to ( m 1 + m 2 ) U f . (We shall investigate the significance of this result in Chapter 9 .)
An air-track cart of mass m1 = 0.14 kg is moving with a speed v0 = 1.3 m/s to the right when it collides with a cart of mass m2 = 0.25 kg that is at rest. Each cart has a wad of putty on its bumper, and hence they stick together as a result of their collision Suppose the average contact force between the carts is F = 1.5 N during the collision. (a) What is the acceleration of cart 1? Give direction and magnitude. (b) What is the acceleration of cart 2? Give direction and magnitude. (c) How much time does it take for both carts to have the same speed? (Once the carts have the same speed the collision is over and the contact force vanishes.) (d) What is the final speed of the carts, Uf? (e) Show that m1U0 is equal to (m1 + m2)Uf. (We shall investigate the significance of this result in Chapter 9.)
•
Nature of Resistance
Temperature-Resistance Relationship
Ohm's Law, Energy and Power
Kirchhoff's Law
• Maxwell's Mesh Analysis
1. A coil of copper wire (p = 10.37 2-cmil/ft) has a length of 600 ft. What is the length of an aluminum conductor
(p 17 cmil/ft), if its cross-sectional area and resistance are the same as those of the copper coil? (Hint: Look
for conversion of inches to mils and square inches to square foot. Include it in your solution.) (1 pt)
2. The copper field winding of an electric machine has a resistance of 46 at temperature of 22°C. What will be
its resistance at 75°C? (Use do = 0.00427 /°C for copper) (1 pt)
3. The resistivity of a copper rod 50 ft long and 0.25 inch in diameter is 1.76 μ at 20°C. What is its resistance at -
20°C? (1 pt)
4. When two resistors A and B are connected in series, the total resistance is 36 2. When connected in parallel, the
total resistance is 8 Q. What is the ratio of the resistance RA to resistance RB? Assume RA < RB. (1 pt)
5. The…
2. Two equally strong individuals, wearing
exactly the same shoes decide to do a tug of
war. The only difference is individual A is
2.5 meters tall and individual B is 1.5 meter
tall. Who is more likely to win the tug of
war?
6. A car drives at steady speed around a perfectly
circular track.
(a) The car's acceleration is zero.
(b) The net force on the car is zero.
(c) Both the acceleration and net force on the car
point outward.
(d) Both the acceleration and net force on the car
point inward.
(e) If there is no friction, the acceleration is
outward.
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