I need step by step solution for #4 and #5 please. Thank you (15 pts.) A 6.0 kg

Question

I need step by step solution for #4 and #5 please. Thank you

(15 pts.) A 6.0 kg box is placed on a 3.0 m long ramp wth an inc me or tree. friction between the box and the belt is 0.3. What is the normal force acting ont the box, and how long will it take to travel down the ramp (starting at rest)? Solve this problem using Newton's Laws. 4. . (15 pts.) A cyclist is riding with a speed of 15 m/s when she stops pedaling. She comes to a stop in a distance of 25.0 meters. What is the coefficient of friction between the surface and bicycle tires? The combined mass of the cyclist and bicycle is 85 kg 5. 6. (10 pts.) An astronaut in full gear steps on a scale on Earth and weighs a total of 600 N. The astronaut then and stens on a scale, showing a weight of 150 N. What is the

Explanation / Answer

5.

Fn = normal force acting = mg = 85 x 9.8 = 833 N

fk = kinetic frictional force

d = stopping distance = 25 m

v = initial speed = 15 m/s

KE = initial KE = (0.5) m v2 = (0.5) (85) (15)2 = 9562.5 J

using conservation of energy

work done by frictional force = initial Kinetic energy

fk d = KE

fk (25) = 9562.5

fk = 382.5 N

Coefficient of friction is given as

uk = fk /Fn = 382.5/833 = 0.46

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