(II) A large crate of mass 1500 kg starts sliding from rest along a frictionless ramp, whose length is ℓ and whose inclination with the horizontal is θ. ( a ) Determine as a function of θ : (i) the acceleration a of the crate as it goes downhill, (ii) the time t to reach the bottom of the incline, (iii) the final velocity v of the crate when it reaches the bottom of the ramp, and (iv) the normal force F N on the crate. ( b ) Now assume ℓ = 100 m. Use a spreadsheet to calculate and graph a , t , v , and F N as functions of θ from θ = 0° to 90° in 1° steps. Are your results consistent with the known result for the limiting cases θ = 0° and θ = 90°?
(II) A large crate of mass 1500 kg starts sliding from rest along a frictionless ramp, whose length is ℓ and whose inclination with the horizontal is θ. ( a ) Determine as a function of θ : (i) the acceleration a of the crate as it goes downhill, (ii) the time t to reach the bottom of the incline, (iii) the final velocity v of the crate when it reaches the bottom of the ramp, and (iv) the normal force F N on the crate. ( b ) Now assume ℓ = 100 m. Use a spreadsheet to calculate and graph a , t , v , and F N as functions of θ from θ = 0° to 90° in 1° steps. Are your results consistent with the known result for the limiting cases θ = 0° and θ = 90°?
(II) A large crate of mass 1500 kg starts sliding from rest along a frictionless ramp, whose length is ℓ and whose inclination with the horizontal is θ. (a) Determine as a function of θ: (i) the acceleration a of the crate as it goes downhill, (ii) the time t to reach the bottom of the incline, (iii) the final velocity v of the crate when it reaches the bottom of the ramp, and (iv) the normal force FN on the crate. (b) Now assume ℓ = 100 m. Use a spreadsheet to calculate and graph a, t, v, and FN as functions of θ from θ = 0° to 90° in 1° steps. Are your results consistent with the known result for the limiting cases θ = 0° and θ = 90°?
A 85 turn, 10.0 cm diameter coil rotates at an angular velocity of 8.00 rad/s in a 1.35 T field, starting with the normal of the plane of the coil perpendicular to the field. Assume that the positive max emf is reached first.
(a) What (in V) is the peak emf?
7.17
V
(b) At what time (in s) is the peak emf first reached?
0.196
S
(c) At what time (in s) is the emf first at its most negative?
0.589
x s
(d) What is the period (in s) of the AC voltage output?
0.785
S
A bobsled starts at the top of a track as human runners sprint from rest and then jump into the sled. Assume they reach 40 km/h from rest after covering a distance of 50 m over flat ice. a. How much work do they do on themselves and the sled which they are pushing given the fact that there are two men of combined mass 185 kg and the sled with a mass of 200 kg? (If you haven't seen bobsledding, watch youtube to understand better what's going on.) b. After this start, the team races down the track and descends vertically by 200 m. At the finish line the sled crosses with a speed of 55 m/s. How much energy was lost to drag and friction along the way down after the men were in the sled?
For what type of force is it not possible to define a potential energy expression?
Chapter 4 Solutions
Physics for Science and Engineering With Modern Physics, VI - Student Study Guide
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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