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The solutions to assignment 1 for the physics 101 course offered in spring 2012. The assignment includes three questions related to the concepts of velocity, acceleration, and newton's laws of motion.
Typology: Exercises
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Due Date: 19/04/
Question # 1
a) Can an object with zero acceleration have velocity? If no give a proof if yes give an example. b) Can an object with zero velocity have acceleration? If no give a proof if yes give an example. Marks = 3+
Solution
a. Yes! A train barreling down the tracks at 160 km/h has velocity. If that velocity is not changing, the train’s acceleration is zero.
b. Yes again: a ball thrown straight up has zero velocity at the top of its path, but its acceleration at that instant is -9.80 m/s^2.
Question # 2
Look on the above figure and answer the following question. What is the suitcase's acceleration? Marks = 6
Solution
ΣF = m a F + (- mg ) = ma a = ( F - mg )/ m a = (158 N -147 N)/ (15 kg) a = 11/ a = 0.73 m/s 2 (upward)
Question # 3
Look on the above figure and answers the following questions. a. The weight of the apple is 1.5 N. What force does the apple exert on the Earth? Also indicate which Newton law is applicable here? b. If the forces on the apple and the Earth are equal in strength, do they cause them to accelerate at the same rate? Marks = 3+
Solution
a. The Earth’s gravitational force pulls an apple toward the ground and the apple pulls upward on the Earth with an equally strong gravitational force. These pairs of forces are called action-reaction pairs, and Newton’s third law is often called the action-reaction law. Thus it is concluded that 1.5 N upward force acts on the apple in the fig shown
b. Newton’s second law enables us to answer this question, first, objects accelerate due to a net force, and the force of the apple on the Earth is minor compared to other forces, such as those of the Moon or Sun. But, even if the apple were exerting the sole force on the Earth, its acceleration would be very, very small because of the Earth’s large mass. The forces are equal, but the acceleration for each body is inversely proportional to its mass.
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