A 25 kg box is given an initial velocity of 65 m/s up a plane from the bottom of the plane. The plane is inclined 35° to the horizontal. The coefficient of kinetic friction between the box and the plane is 1. 0.45. Sketch a free body diagram of the box, labelling all the forces acting on the box. b. Resolve the weight of the box into: i. a horizontal component parallel to the inclined plane, and ii. a vertical component perpendicular to the inclined plane.

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A 25 kg box is given an initial velocity of 65 m/s up a plane from
the bottom of the plane. The plane is inclined 35° to the horizontal.
The coefficient of kinetic friction between the box and the plane is
1.
0.45.
Sketch a free body diagram of the box, labelling all the forces
acting on the box.
a.
b.
Resolve the weight of the box into:
i.
a horizontal component parallel to the inclined plane, and
ii. a vertical component perpendicular to the inclined plane.
By applying Newton's second law of motion perpendicular to the
plane, determine the normal reaction force of the box.
d.
By applying Newton's second law of motion parallel to the plane,
determine the acceleration of the box as it travels up the plane.
Calculate the distance the box travels up the plane before coming to
a stop.
Transcribed Image Text:A 25 kg box is given an initial velocity of 65 m/s up a plane from the bottom of the plane. The plane is inclined 35° to the horizontal. The coefficient of kinetic friction between the box and the plane is 1. 0.45. Sketch a free body diagram of the box, labelling all the forces acting on the box. a. b. Resolve the weight of the box into: i. a horizontal component parallel to the inclined plane, and ii. a vertical component perpendicular to the inclined plane. By applying Newton's second law of motion perpendicular to the plane, determine the normal reaction force of the box. d. By applying Newton's second law of motion parallel to the plane, determine the acceleration of the box as it travels up the plane. Calculate the distance the box travels up the plane before coming to a stop.
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