Basic Physics PHY 114 W-01 Department of Physical and Computer Sciences Medgar E

Question

Basic Physics PHY 114 W-01 Department of Physical and Computer Sciences Medgar Evers College Assignment 9 Name: Write or type work and solutions on a separate paper. If written, write legibly. 1. What is the mass of a 196 N weight? 2. Two forces, one of 50 N due east and the other of 30 N due west are exerted on a box. What is the mass of the box if its acceleration is 4.00 m/s2? 3. A 5.00 kg object placed on a frictionless, horizontal table is connected to a string that passes over a pulley and then is fastened to a hanging 9.00 kg object. Draw free-body diagrams of both objects. Find the acceleration of the two objects and the tension in the string. 4. Extra Credit: A 1.00 kg object is observed to have an acceleration of 10.0 m/s2 in a direction 60.0° east of north. A force exerted on the object has a magnitude of 5.00 N due north. Determine the magnitude and direction of the other force acting on the object

Explanation / Answer

1) Weight = mass* acceleration due to gravity

W = mg

196 = m*9.8

m = 20 kg

2) Net force = 50 - 30 = 20 N east

mass = F/m = 20/4 = 5 kg

3) writig the force equations we have

9g - T = 9a ------(1)

T - 5g = 5a ------(2)

adding both equations we have

4g = 14 a

a = 4*9.8/14 = 2.8 m/s2

T = 5(9.8+2.8) = 63 N

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