13) A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy may be much easier. W₁ = K₁-K₂ W₁ = Ford Joh my? d 8.0 m 30° A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
13) A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top, the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of energy may be much easier. W₁ = K₁-K₂ W₁ = Ford Joh my? d 8.0 m 30° A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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![d
13) A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top,
the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is
released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal
surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance
is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of
energy may be much easier.
W₁-K₁-K₁
W₁ = d
Fid=14-1₂
8.0 m
30°
A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
any?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba09805e-c69e-42c2-a695-6eaaf9d4ee4f%2F191951e0-4ac7-4a8a-8ea9-54e13f6921c9%2Fry9npot_processed.jpeg&w=3840&q=75)
Transcribed Image Text:d
13) A 10 kg box is initially at rest at the top of a frictionless inclined plane that rises at 30° above the horizontal. At the top,
the box is initially 8.0 m from the bottom of the incline, as measured along the incline (see figure). When the box is
released from this position, it eventually stops at a distance d from the bottom of the inclined plane along a horizontal
surface, as shown. The coefficient of kinetic friction between the horizontal surface and the box is 0.20, and air resistance
is negligible. Find the distance d in meters. Hint: You can use dynamics and kinematics but applying conservation of
energy may be much easier.
W₁-K₁-K₁
W₁ = d
Fid=14-1₂
8.0 m
30°
A) 20 m B) 15 m C) 25 m D) 5.0 m E) 10 m
any?
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Step 1: Given data
VIEWStep 2: Representation of given system.
VIEWStep 3: Calculation for potential energy of object at the top and bottom of inclined plane.
VIEWStep 4: Calculation for kinetic energy of object at the top and bottom of inclined plane
VIEWStep 5: Calculation for object's velocity at the bottom of plane using conservation of energy.
VIEWStep 6: Calculation for kinetic frictional force.
VIEWStep 7: Calculation for object's acceleration during its horizontal motion.
VIEWStep 8: Calculation for horizontal distance 'd' traveled by object.
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