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Numerical Problems on Forces and Motion

See here solved numerical problems of Forces and Motion included in the Physics course for grade 11.

Problem 1An object is falling freely under the gravity. How much distance will it travel in 2nd and 3rd seconds of its journey?
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Problem 2A helicopter is ascending vertically at a speed of 19.6 m/s. When it is at a height of 156.8 m above the ground, a stone is dropped. How long does the stone take to reach the ground?
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Problem 3A car moving at 20.0 m/s (72.0 km/h) crashes into a tree. Find the magnitude of the average force acting on a passenger of mass 70 kg in each of the following cases. (a) The passenger is not wearing a seat belt. He is brought to rest by a collision with the windshield and dashboard that lasts 2.0 ms. (b) The car is equipped with a passenger side air bag. The force due to the air bag acts for 45 ms, bringing the passenger to rest.
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Problem 4A 0.4 kg ball traveling with the speed of 15 m/s strikes a rigid wall and rebounds elastically. If the ball is in contact with the wall for 0.045 s, what is (a) the momentum imparted to the wall and (b) the average force exerted on the wall?
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Problem 5One ball of mass 0.600 kg traveling 9.00 m/s to the right collides head on elastically with a second ball of mass 0.300 kg traveling 8.00 m/s to the left. What are their velocities after the collision?
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Problem 6In a wedding a bullet is fired in air at a speed of 500 m/s making an angle 60° with horizontal from an AK 47 rifle. (a) How high will the bullet rise? (b) What time would it take to reach ground? (c) How far would it go? (Ignore air resistance).
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Problem 7The catapult hurls a stone of mass 32.0 g with a velocity of 50 m/s at a 30.0° of elevation. (a) What is the maximum height reached by the stone? (b) What is its range? (c) How long has the stone been in air when it returns to its original height?
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Examples from the book

Example 3.1:

The velocity-time graph shows the motion of bicyclist in a straight line. (a) From the slope of the graph, calculate the acceleration of the bicyclist between segments A and B, B and C, C and D and D and E. (b) Calculate the average acceleration of the bicyclist. (c) Plot the acceleration time graph for this motion.

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