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Newtonovi zakoni gibanja - Univerza v Novi Gorici

Newtonovi zakoni gibanja - Univerza v Novi Gorici

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<strong>Newtonovi</strong> <strong>zakoni</strong> <strong>gibanja</strong><br />

<strong>Univerza</strong> v <strong>Novi</strong> <strong>Gorici</strong><br />

Fakulteta za aplikativno naravoslovje<br />

Inˇzenirska fizika (I. stopnja)<br />

Fizika I<br />

2008/2009<br />

VAJE<br />

11.11.2008<br />

1. A worker drags a crate across a factory floor by pulling on a rope tied to the crate. The worker<br />

exerts a force of 450N on the rope, which is inclined 38 ◦ to the horizontal, and the floor exerts<br />

a horizontal force of 125N that opposes the motion. Calculate the acceleration of the crate (a)<br />

if its mass is 310kg and (b) if its weight is 310N.<br />

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2. An object is hung from a spring balance attached to the ceiling of an elevator. The balance<br />

reads 65N when the elevator is standing still. What is the reading when the elevator is moving<br />

upward (a) with a constant speed 7.6m/s and (b) with a speed 7.6m/s while decelarating at a<br />

rate of 2.4m/s 2 ?<br />

3. A 1kg mass on 37 ◦ is connected to a 3kg mass on a horizontal surface. The surfaces and the<br />

pulley are frictionless. If F = 12N, what is the tension in the connecting cord?<br />

4. A block of mass m1 = 3.7kg on a frictionless inclined plane of angle 30 ◦ is connected by a cord<br />

over a massless, frictionless pulley to a second block of mass m2 = 2.3kg hanging vertically.<br />

What are (a) the magnitude of the acceleration of each block and (b) the direction of the<br />

acceleration of m2? (c) What is the tension in the cord?<br />

1<br />

F<br />

F


5. A 100kg crate is pushed at constant speed up a frictionless 30 ◦ ramp. (a) What horizontal force<br />

F is required? (b) What force is exerted by the ramp on the crate?<br />

6. A 52kg circus performer is to slide down a rope that will snap if the tension exceeds 425N<br />

(a) What happens if the performer hangs stationary on the rope? (b) At what magnitude of<br />

acceleration does the performer just avoid breaking the rope?<br />

7. A 5kg block is pulled along a horizontal frictionless floor by a cord that exerts a force F = 12N<br />

at an angle α = 25 ◦ above the horizontal. (a) What is the acceleration of the block? (b) The<br />

force F is slowly increased. What is its value before the block is lifted (completely) off the floor?<br />

(c) What is the acceleration of the block just before it is lifted (completely) off the floor?<br />

2<br />

F

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