1. A proton beam in an accelerator carries a current of 1.25 × 10-6. If the beam is incident on atarget, how many protons strike the target in a period of 23 seconds?2. An all-electric car (not a hybrid) is designed to run from a bank of 12-Volt batteries withtotal electric energy storage of 2.00 x 107 Joules. If the electric car motor draws a power of 8kW as the car moves at a steady speed of 20 m/s, (a) what is the current delivered to themotor? (b) How far can the car travel before it is "out of juice"?3. A rectangular coil of wire has dimensions of 3 cm by 6 cm and is wound with 60 turns ofwire. It is placed between the pole faces of a magnet that produces an approximately uniformmagnetic field of 0.4 T. Suppose that the plane of the coil is turned from being perpendicularto the field to being parallel to the field in 0.25 seconds, what is the average voltagegenerated in the coil?4. A freshly prepared sample of radioactive isotope has an activity of 10 mCi. After 4 hours,its activity is 8 mCi. Find:(a) the decay constant a and half-life T1/2;(b) How many atoms of the isotope were contained in the freshly prepared sample?(c) What is the sample's activity 30 hours after it is prepared?5. The Radium (Ra) nucleus decays as follow,Ra88ARn + 3He(a) What type of radioactive decay is this?(b) Find the atomic mass number A and the proton number Z of the resulting Radon (Rn) nucleus.(c) Given the masses (expressed in atomic mass unit, u) are 226.025410u for Radium,222.017578u for Radon and 4.002603u for Helium and the square of the speed of light, c², is931.494 MeV/u, calculate the energy released in this nuclear decay.6. A typical nuclear fission power plant produces approximately 1.00 GW of electrical power.Assume the power plant has an overall efficiency of 40% and each fission reaction produces200MEV of energy (1 MeV = 1.6×1013 joule). Calculate the total mass of 235U consumedeach day. Note that the molecular weight of 235U is 235 gram/mole and 1 mole of 235U contain6.02x1023 nuclei.

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1. A proton beam in an accelerator carries a current of 1.25 × 10-6. If the beam is incident on a target, how many protons strike the target in a period of 23 seconds?

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Chapter1: Units, Trigonometry. And Vectors

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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

1. A proton beam in an accelerator carries a current of 1.25 × 10-6. If the beam is incident on a
target, how many protons strike the target in a period of 23 seconds?
2. An all-electric car (not a hybrid) is designed to run from a bank of 12-Volt batteries with
total electric energy storage of 2.00 x 107 Joules. If the electric car motor draws a power of 8
kW as the car moves at a steady speed of 20 m/s, (a) what is the current delivered to the
motor? (b) How far can the car travel before it is "out of juice"?
3. A rectangular coil of wire has dimensions of 3 cm by 6 cm and is wound with 60 turns of
wire. It is placed between the pole faces of a magnet that produces an approximately uniform
magnetic field of 0.4 T. Suppose that the plane of the coil is turned from being perpendicular
to the field to being parallel to the field in 0.25 seconds, what is the average voltage
generated in the coil?
4. A freshly prepared sample of radioactive isotope has an activity of 10 mCi. After 4 hours,
its activity is 8 mCi. Find:
(a) the decay constant a and half-life T1/2;
(b) How many atoms of the isotope were contained in the freshly prepared sample?
(c) What is the sample's activity 30 hours after it is prepared?
5. The Radium (Ra) nucleus decays as follow,
Ra
88
ARn + 3He
(a) What type of radioactive decay is this?
(b) Find the atomic mass number A and the proton number Z of the resulting Radon (Rn) nucleus.
(c) Given the masses (expressed in atomic mass unit, u) are 226.025410u for Radium,
222.017578u for Radon and 4.002603u for Helium and the square of the speed of light, c², is
931.494 MeV/u, calculate the energy released in this nuclear decay.
6. A typical nuclear fission power plant produces approximately 1.00 GW of electrical power.
Assume the power plant has an overall efficiency of 40% and each fission reaction produces
200MEV of energy (1 MeV = 1.6×1013 joule). Calculate the total mass of 235U consumed
each day. Note that the molecular weight of 235U is 235 gram/mole and 1 mole of 235U contain
6.02x1023 nuclei.

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