Problem 1 A worker pushes a 40.5 kg box up a ramp which makes an angle of 22.5° relative to the horizontal. The box starts from rest and moves a total distance of 1.50 meters up the ramp. As the box moves, the worker applies a constant force of 565 Newtons, which is directed up the ramp. The coefficient of kinetic friction between the ramp and the box is 0.195. (a) Find the work done by each force acting on the box during this motion, in units of Joules (J). There are 4 forces to consider: the force of the worker's push, gravity, kinetic friction, and the normal force. (b) What is the final speed of the box at the end of the motion (i.e., after it has moved 1.50 meters up the ramp)? Give your answer in units of meters per second (m/s). Use the work-energy theorem.

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Chapter1: Units, Trigonometry. And Vectors
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A worker pushes a 40.5 kg box up a ramp which makes an angle of 22.5 ̊ relative to the horizontal. The box starts from rest and moves a total distance of 1.50 meters up the ramp. As the box moves, the worker applies a constant force of 565 Newtons, which is directed up the ramp. The coefficient of kinetic friction between the ramp and the box is 0.195.

(a) Find the work done by each force acting on the box during this motion, in units of Joules (J). There are 4 forces to consider: the force of the worker’s push, gravity, kinetic friction, and the normal force.

 

(b) What is the final speed of the box at the end of the motion (i.e., after it has moved 1.50 meters up the ramp)? Give your answer in units of meters per second (m/s). Use the work-energy theorem.

Problem 1
A worker pushes a 40.5 kg box up a ramp which makes
an angle of 22.5° relative to the horizontal. The box starts
from rest and moves a total distance of 1.50 meters up the
ramp. As the box moves, the worker applies a constant
force of 565 Newtons, which is directed up the ramp. The
coefficient of kinetic friction between the ramp and the
box is 0.195.
(a) Find the work done by each force acting on the box during this motion, in
units of Joules (J). There are 4 forces to consider: the force of the worker's
push, gravity, kinetic friction, and the normal force.
(b) What is the final speed of the box at the end of the motion (i.e., after it has
moved 1.50 meters up the ramp)? Give your answer in units of meters per
second (m/s). Use the work-energy theorem.
Transcribed Image Text:Problem 1 A worker pushes a 40.5 kg box up a ramp which makes an angle of 22.5° relative to the horizontal. The box starts from rest and moves a total distance of 1.50 meters up the ramp. As the box moves, the worker applies a constant force of 565 Newtons, which is directed up the ramp. The coefficient of kinetic friction between the ramp and the box is 0.195. (a) Find the work done by each force acting on the box during this motion, in units of Joules (J). There are 4 forces to consider: the force of the worker's push, gravity, kinetic friction, and the normal force. (b) What is the final speed of the box at the end of the motion (i.e., after it has moved 1.50 meters up the ramp)? Give your answer in units of meters per second (m/s). Use the work-energy theorem.
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