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10 Cards in this Set

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On a snowy day with the temperature near the freezing point, the coefficient of status friction between a car's tires and an icy road is .08. What is the maximum incline that a vehicle with four wheel drive can climb at constant speed?

Zero acceleration = no net force. Take x up incline, y perpendicular to incline. Incline makes an angle of 0 relative to horizontal.



mgsinθ=.08mgcosθ


tan=.08


(take inverse tangent

A bullet of mass 1.8X10^-3 kg is moving at 500 m/s impacts a large fixed block of wood and travels 6.0 cm before coming to rest. Assuming that the acceleration of the bullet is constant, find the force exerted by the wood on the bullet.

vf^2=vi^2+2as



Find A and then plug it into



F=ma

A physics major is working to pay his college tuition by performing in a traveling carnival. He rides a motorcycle inside a hollow transparent plastic sphere. After gaining sufficient speed, he travels in a vertical circle with a radius of 12.2 m. The physics major has a mass of 74 kg, and his motorcycle has a mass of 40 kg. What minimum speed must he have at the top of the circle if the tires of the motorcycle are not to lose contact with the sphere?

Vorb=√(rg)


Vorb=√((12.2)(9.81))


V=10.9

The horizontal surface on which the objects slide is frictionless. Assume the string are massless. If M=2 kg, the tension in string 1 is 12 N. Determine F.

T=ma


12=6a


a=2


F=ma


F=(20)(2)=20N

An adventurous archaelogist crosses between two rock cliffs by slowly going hand over hand along a rape stretched between the cliffs. He stops to rest at the middle of the rope. The rope will break if the tension in it exceeds 2.3X10^4 N, and our hero's mass is 81 kg. What is the smallest value the angle can have if the rope is not to break?

T=ma


A car traveling at 30 m/s runs out of gas while traveling up a 20 degree slope. How far up the hill will it coast before starting to roll back down?

vf^2=vi^2+2as


aslope=plus or minus gsinθ

The catapult of the aircraft carried USS Abraham Lincoln accelerates and FA18 hornet jet fighter from rest to a takeoff speed of 170mph in 307 ft. Assume constant acceleration. Calculate the acceleration of the fighter in m/s^2.

(make sure to recalculate the ft and mph to m!)



vf^2=vi^2+2as


You are camping with two friends. You don't pitch your tents close together. Joe's ten is 21 m from yours, in the direction 23 degree south of eat. Karl's is 32 m, 37 degree north of east. What's the distance between Karl's and Joe's tent?

a^2=b^2+c^2-2(b)( c) cosA

Rob is driving a steady 30 m/s when he passes Anita, who is sitting in her car at rest. Anita begins to accelerate at a steady 2 m/s at the instant when Rob passes. how far does Anita drive before passing Rob?

Displacement=area under velocity graph.


A home run is hit in such a way that the baseball just clears a wall 21 m high, located 130 m from home plate. The ball is hit at an angle of 35 degree. Find initial speed of the ball. Ball is hit at 1 m.

t=x/vi


y=vt+.5at2