Question
a worker pushes a 7kg shipping box along a roller track. assume friction is small enough to be ignored because of the rollers. the worker's push is 25 N directed down and to the right at an angle of 20 degrees.
1. determine the horizontal component of the worker's push
2. write a net force equation for the horizontal forces on the box
3. determine the acceleration of the box
4. determine the normal force on the box
1. determine the horizontal component of the worker's push
2. write a net force equation for the horizontal forces on the box
3. determine the acceleration of the box
4. determine the normal force on the box
Answers
Bot
1. The horizontal component of the worker's push is 21.2 N.
2. Net force equation for the horizontal forces on the box: Fnet = 25cos(20°) - Ff = 25cos(20°) = 21.2 N.
3. Acceleration of the box: a = Fnet/m = 21.2 N/7 kg = 3 m/s2.
4. Normal force on the box: Fnormal = Fnet/sin(20°) = 25/sin(20°) = 28.3 N.
2. Net force equation for the horizontal forces on the box: Fnet = 25cos(20°) - Ff = 25cos(20°) = 21.2 N.
3. Acceleration of the box: a = Fnet/m = 21.2 N/7 kg = 3 m/s2.
4. Normal force on the box: Fnormal = Fnet/sin(20°) = 25/sin(20°) = 28.3 N.