4508

Physics Work,Power & Energy Level: Misc Level

A 2400 kg block of granite is pulled up an incline that has an angle of inclination 0 = 18 % with a constant speed of 1.81 m/s by a steam winch ( see Figure ) .The coefficient of kinetic friction between the block and the incline is 0.08. How much power must be supplied by the winch?




4507

Physics Force & Laws Of Motion Level: Misc Level

A small block of mass m = 1.3 kg slides, without friction, along the loop - the- loop track shown. The block starts from the point P a distance h = 53.0 m above the bottom of the loop of radius R =A 20.0 M. what is the kinetic energy of the mass at the point A on the loop ? What is the down ward acceleration of the mass at the point A of the loop?

What is the minimum height h for which the block will reach point A on the loop without leaving the track?




4506

Physics Rotational Mechanics Level: Misc Level

The string in the Figure is L= 100.0 cm long and the distance d to the fixed peg P is 72.0 cm. When the ball is released from rest in the position shown, it will swing along the dashed arc. How fast will it be going when it reaches the lowest point in its swing? How fast will it be going when it reaches the highest point in its swing?




4504

Physics Force & Laws Of Motion Level: Misc Level

A block of mass m = 6.7 kg is released from rest at a height of H =3.0 m on a curved frictionless ramp. At the foot of the ramp is a spring whose spring constant is k =372.0 N/m. What is the maximum compression of the spring, x ?




4503

Physics Work,Power & Energy Level: Misc Level

Water flows over a waterfall which is 54.0 m high at an average rate of 1.10 E +6 kg /s. If all the potential energy of the water were converted into electric energy, how much electrical power could be produced by these falls?




4502

Physics Vectors Level: Misc Level

A boat, whose speed in still water is 2.24 m/s, must cross a W = 260 m wide river and arrive at a point D = 110 m upstream from where it starts. To do so, the pilot must head the boat at a 0 =45.8 degrees upstream angle. What is the speed of the river's current?




4500

Physics Kinematics Level: Misc Level

A stunt driver wants to make his car jump over 8 cars parked side by side below a horizontal ramp. With what minimum speed must he drive off the horizontal ramp? The vertical height of the ramp is h = 1.55 m above the cars and the horizontal distance he must clear is d =19.6 m.




4498

Physics Force & Laws Of Motion Level: Misc Level

Tarzan plans to cross a gorge by swinging in an arc from a hanging vine. If his arms are capable of exerting a force of 1450 N on the rope, what is the maximum speed he can tolerate at the lowest point of his swing? His mass is 81.4 kg and the vine is 5.95 m long.




4496

Physics Rotational Mechanics Level: Misc Level

A Ferris wheel, 22.4 m in diameter, rotates once every 12.5 s. What is the fractional change in a person's apparent weight at the top, as compared to her weight at rest?




4494

Physics Gravitation Level: Misc Level

Calculate the effective value of g, the acceleration of gravity, at 3380 m above the Earth s surface.




4493

Physics Rotational Mechanics Level: Misc Level

At what minimum speed must a roller coaster be traveling when upside down at the top of a circle if the passengers are not to fall out ? Assume a radius of curvature of 9.07 m.




4492

Physics Rotational Mechanics Level: Misc Level

A horizontal force of 261 N is exerted on a 2.05 kg discus as it is rotated uniformly in a horizontal circle ( at arms length )of radius 1.16 m. Calculate the speed of the discus.




4491

Physics Force & Laws Of Motion Level: Misc Level

The frequency of vibration of a mass - spring system is 5.00 Hz when a 4.00 g mass is attached to the spring. What is force constant of the spring?




4490

Physics Waves And Oscillations Level: Misc Level

A visitor to a lighthouse wishes to determine the height of the tower. She ties a spool of thread to a small rock to make a simple pendulum, which she hangs down the center of a spiral staircase of the tower. The period of oscillation is 9.40 s. What is the height of the tower?




4489

Physics Waves And Oscillations Level: Misc Level

Two trains on seperate tracks move toward one another. Train 1 has a speed of 130 km/ h and train 2 a speed of 90.0 km /h . Train two blows its horn, emitting a frequency of 500 Hz. What is the frequency heard by the engineer on train 1? ( note: the speed of sound in air is 340 m/s for this problem.)


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