UNIVERSITY OF TORONTO AT MISSISSAUGA First Term Test PHY146H5F 1 Jim is sailing with the speed of 5

Physics Nov 30, 2020

UNIVERSITY OF TORONTO AT MISSISSAUGA

First Term Test

PHY146H5F

1

Jim is sailing with the speed of 5.68 m/s. A gust hits the sails accelerating the sailboat at

62.5 degrees to the original direction. The gust lasts 5.42 s, and the sailboat’s displacement during this time is 35.2 m. Find the magnitude of the sailboat's acceleration during the gust. The water/air friction can be neglected.

2

A ball at the end of a string of length L is being whirled around in a horizontal circle. The string makes an angle of 30 degrees with the vertical. Find an expression for the ball’s speed in terms of length and gravitational constant g.

3

A cart of 4 kg is connected to another cart of 6 kg by a stiff, massless spring with k = 100 N/m and pulled along a frictionless surface by a 9 N force applied horizontally to the lighter cart. How much does the spring stretch?

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