12. An object is moving in a horizontal circular path at the end of a string. The tension in the string is 12.00 N. If the object's speed is decreased by 25%, and the length of the string decreased by 10%, what would be the new tension (in newtons)? (a) 7.50 (b) 6.54 (c) 7.88 (d) 18.87 (e) None of these

12. An object is moving in a horizontal circular path at the end of a string. The tension in the string is 12.00 N. If the object's speed is decreased by 25%, and the length of the string decreased by 10%, what would be the new tension (in newtons)? (a) 7.50 (b) 6.54 (c) 7.88 (d) 18.87 (e) None of these

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

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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(a) Calculate the tension (in N) in a vertical strand of spiderweb if a spider of mass 8.00 x 10¯° kg hangs motionless on it. (Enter a number.) 0.000784 N (b) Calculate the tension (in N) in a horizontal strand of spiderweb if the same spider sits motionless in the middle of it much like the tightrope walker in the figure. 5.0° 5.0° T. TR w T. TR The strand sags at an angle of 15.0° below the horizontal. (Enter a number.) 0.046688914 X N Compare this with the tension in the vertical strand (find their ratio). (Enter a number.) (tension in horizontal strand) / (tension in vertical strand) =
In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle 8 = 22.8°. The slab has length L = 48.9 m, thickness T = 6.61 m, and width W = 12.7 m, and 1.0 cm³ of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.312. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.47 cm² and will snap under a shearing stress of 3.59 x 108 N/m², what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.
A small boat is being pushed up a ramp into the back of a flatbed truck. The boat is sitting at the top of the ramp, which is located 1.4 m above the ground. The boaters think the boat is safe there, and begin to walkaway. However, they have neglected the thin layer of ice that has formed on the ramp, which is angled at 30◦ up from the ground. Neglecting the friction between the boat and the ramp, how long do the boaters havebefore the boat reaches the bottom of the ramp?
Redo Example 5, assuming that there is no upward lift on the plane generated by its wings. Without such lift, the guideline slopes downward due to the weight of the plane. For purposes of significant figures, use 2.91 kg for the mass of the plane, 12.2 m for the length of the guideline, and 18.2 and 36.4 m/s for the speeds. (a) Number (b) Number Units Units
A rocket in space consumes fuel and oxidizer at the rate of 2.15 x 104 kg/s with an exhaust speed of 3.30 x 10 m/s. (a) Find the thrust (in N) produced by the rocket's engine. (b) Find the acceleration (in m/s2) of the rocket at liftoff from Earth's surface, if its initial mass was 3.00 x 10° kg. (Enter the magnitude.) m/s?
A 36.0-kg child swings in a swing supported by two chains, each 3.08 m long. The tension in each chain at the lowest point is 410 N. (a) Find the child's speed at the lowest point.(b) Find the force exerted by the seat on the child at the lowest point. (Ignore the mass of the seat.)
In the figure, a rectangular slab of slate rests on a bedrock surface inclined at angle θ = 28.4°. The slab has length L = 32.4 m, thickness T = 5.92 m, and width W = 14.3 m, and 1.0 cm3 of it has a mass of 3.2 g. The coefficient of static friction between slab and bedrock is 0.385. (a) Calculate the component of the gravitational force on the slab parallel to the bedrock surface. (b) Calculate the magnitude of the static frictional force on the slab. By comparing (a) and (b), you can see that the slab is in danger of sliding. This is prevented only by chance protrusions of bedrock. (c) To stabilize the slab, bolts are to be driven perpendicular to the bedrock surface (two bolts are shown). If each bolt has a cross-sectional area of 6.05 cm2 and will snap under a shearing stress of 3.34 × 108 N/m2, what is the minimum number of bolts needed? Assume that the bolts do not affect the normal force.
3. A base year student with a mass of 85 kg slides on a surfboard down the stairs in NI:0E11 with a constant speed of 3.0 m/s. The stairs have an angle of 15.0 degrees to the ground. (a) Free the surfer (ie the surfer and the teacher as a unit). (b) Calculate the frictional force.
plz answer and do explain shortly.Thanks
3. The force F required to move a box by pulling on an attached rope that forms an angle w with the horizontal is given by fmg F(w) = cOSw + f sin w where f, m, g > 0 are all constant. (a) Show that the angle wo that minimizes the required force to set the box in motion is given by arctan(f) (b) Show that this minimal force F(wo) is proportional to (a constant multiple of)
5. There exists a uniform rectangular plate of mass m and length L and width W (this dimension is into and out of the page). The plate is held stationary by a thumb pushing down at one end and by fingers pushing up at a distance x from the thumb. find the force of the thumb T and the force of the fingers F.
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