A sheet of practice questions on vectors is given below.

A force of magnitude 5.0 N and a force of magnitude 4.0 N cannot be added together to give a force of magnitude (a) 0.5 N, (b) 1.5 N, (c) 3.0 N, (d) 7.0 N
A block of mass 2.0 kg is at rest on a rough inclined plane that makes an angle of 20.0° with the horizontal. The coefficient of static friction between the surfaces is 0.30. What is the magnitude of the force of static friction acting on the block?
A block of mass 1.50 kg is projected up a rough inclined plane of angle of elevation 25.0° at 12.0 m s ^-1. The coefficient of static and dynamic friction between the surfaces are 0.40 and 0.30 respectively. Find the time taken by the block to return to its starting point.

A tutorial sheet on radioactive decay in Topic E follows.

Choose the best definition of half-life. (a) The time taken for one-half of the initial mass to decay (b) The average time taken for one-half of the original number of nuclei to decay (c) The time taken for one-half of the original number of nuclei to decay (d) The average time taken for one-half of the original number of nuclei to undergo one decay reaction.
The activity of a radioactive sample is A. The rate of decay of the sample at this time is (a) A, (b) -A, (c) A ln2, (d) A/ln2
The decay constant is equal to the probability that a nucleus will undergo radioactive decay. True or false?
The decay constant is inversely proportional to the probability that a nucleus will undergo radioactive decay per unit time. True or false?
During an experiment with a new alpha particle emitting sample in the laboratory the reading on a Geiger counter is 2.6 after 0.3 h. The reading is next taken 0.2 h after the first measurement and its value is 1.8. Find the time interval when the reading is 0.8.

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