Section 4 review
Solving physics problems usually involves translating the language of the problem into mathematical statements: identify what is asked for in the question; determine what quantities and other information are given to you; identify key relationships among the quantities; and solve the problem. In the process, it is important to assign variables to quantities, identify which quantities are known and unknown, and use consistent units.

Review problems and questions

  1. A student on a bicycle is stopped at an intersection. She accelerates from rest at 0.2 m/s2 for ten seconds, then travels at constant speed for another ten seconds. How far did she travel? Show
  1. Two cars are initially separated by 1 km and traveling towards each other, one at 30 miles per hour and the other at 30 kilometers per hour. In kilometers how far from their respective starting points do the two cars meet? Show
  1. A driver is traveling at 35 mph when he sees a deer in the road 20 m ahead and slams on the brakes. It takes him half a second between seeing the deer and hitting the brakes. Once he starts braking, his deceleration is 5 m/s2.
    1. How far does he travel before coming to a complete stop? Does he hit the deer?
    2. How much total time has elapsed when he comes to a stop?
    3. What speed would he have to have been traveling so that he would stop just short of the deer? Show
  1. The Moon's gravity produces an acceleration of 1.6 m/s2 at its surface. How long does it take a ball, dropped from a height of 1.5 m, to fall to the surface? How does this compare to the time for the ball to fall from the same height to the surface of the Earth? Show
  1. Two cars start from the same starting line. Car A travels at a constant speed of 10 m/s. Car B starts from rest and accelerates at a rate of 3 m/s2.
    1. How long after they start moving are they both at the same distance from the starting line?
    2. At that point, how far are they from the starting line?
    3. How fast is each car traveling at that time? Show
  1. Two students, each weighing 50 kg, are standing 1 m apart. What is the ratio of their mutual gravitational force to the gravitational force each of them experiences from the Earth? Show
  1. The Earth is located at 1.5×1011 m from the Sun and assume that it orbits in a circle. (Earth has a mass of 6.0×1024 kg. The Sun has a mass of 2.0×1030 kg.)
    1. What is the gravitational force necessary to maintain its circular orbit?
    2. What is the velocity of the Earth around its orbit?
    3. What is the angular velocity of the Earth's orbit? Show


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