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A 2400 W engine pulls a 200 kg block at constant speed up a 12.0 m long, 25.0° incline.

Determine long does it takes to cover this distance.

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if you dive underwater, you notice an uncomfortable presure on your eardrum due to the increased pressure. the human endrum has a pressure of 70mm2 (7.10^-5 m2) and it can sustain a force of 7N without rupturing. if your body had no means of balancing the extra pressure, what would be the maximum depth you could dive without rupturing the eardrum?

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A force

F⃗

at an angle of

θ

above the horizontal displaces an object through a distance S in its along the horintal. Which of the following is the CORRECT expression for the work done on the object by the force?

a. F⃗ ⋅s⃗ cosθ

b. F⃗ ×s⃗

c. Fssinθ

d. Fscosθ

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A block of wood is placed on an inclined plane. The angle

θ

(where

θ

is non-zero) of the inclined plane is gradually increased until the block is at the verge of sliding down the incline. What is the coefficient of friction between the block and the incline?

a.cosθ

b.tanθ

c.sinθ

d.cotθ

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A 2.0 kg stone tied to the the end of an inextensible string is whirled around in a horizontal circle of radius 1.5 m at auniform angular speed

2π

rad/s Calculate the rotational kinetic energy of the stone.

220.7 J

88.8 J

47.4 J

246.7 J

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A satellite orbits the earth at an altitude of 600 km with an orbital speed of 27 000km/hr. What is its period of revlution. Take the radius of the earth as 6400 km.

97.7 min

36.4 min

120.3 min

73.7 min

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Which of the following is INCORRECT?

a. The coefficient of static friction depends on the nature of the surfaces in contact

b. static friction is larger than kinetic friction for any given surfaces in contact

c. The coefficient of friction is independent of the relative velocity of the surfaces in contact

d. The coefficient of friction is dependent on the area of the surfaces in contact.

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A pulley is rotating at the rate of 32 rev/min. A motor speeds up the wheel so that 30 s later it is turning at 82 rev/min. what is the average angular acceleration in radians per second

a. 0.17

b. 2.11

c. 0.32

d. 1.41

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A system of two point masses connected by a rigid massless rod and set into rotation about an axis through throd joining the particles is called ---------

a. couple

b. dumbbell

c. gyroscope

d. torque

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The moment of inertia of a solid flywheel about its axis is

0:1kgm2

. It is set in rotation by applying a tangential force of 19.6 N with a rope wound around the circumference, the radius of the wheel is 10 cm. What would be the acceleration if a mass of 2 kg is hung from the end of the rope in

rads−2

?

a. 16.7

b. 21.3

c. 8.8

d. 29.2

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