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pishuonlain [190]
3 years ago
14

A car slows down uniformly from a speed of 22.0 m/s to rest in 5.50 s. how far did it travel in that time?

Physics
2 answers:
Kamila [148]3 years ago
8 0
Since the acceleration is 'uniform', the car's average speed during that time is 11 m/s.

Traveling at an average speed of 11 m/s for 5.5 sec, it covers

(11 m/s) x (5.5 sec) = 60.5 meters. (No calculus. Hardly any algebra. Mostly arithmetic.)
svetlana [45]3 years ago
3 0
First get the acceleration.  Since it's uniform we use

a= \frac{-22m/s}{5.5s}=-4 \frac{m}{s^2}

Note the acceleration is negative since we start at a positive speed and end at zero.
Now the distance is the acceleration integrated twice.  The first integral gives the velocity at any time, t

v=- \int\limits^{ } _ {}{4 \frac{m}{s^2} } \, dt =-4t \frac{m}{s^2}+22.0\frac{m}{s}

Notice if you put 5.5s for t in the expression we get 0 m/s as we should.  Now to get the distance it traveled over this time we integrate this velocity expression:

s= \int\limits^{5.5} _0{-4t \frac{m}{s^2} +22.0\frac{m}{s} } \, dt =-2t^2\frac{m}{s^2} +22.0t\frac{m}{s} \\ \\ Evaluating: \\ \\ -2(5.5)^2+22(5.5)=60.5m}

So it travels 60.5 meters






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Answer:

a) F = 0.01234N to the south direction

b) F = 0.01234N to the north direction

c) F = 0.01234N

d) North of West

Explanation:

The magnetic force in a magnetic field is given by:

F = BIlsin \theta

Length of the wire, l = 1 cm = 0.01 m

Current flowing through the wire, I = 2.15 A

a) If the magnetic field direction is east

∅ = 90

F = 0.574 * 2.15 * 0.01

F = 0.01234 N to the south direction according to the Fleming's Right Hand Rule

b) If the magnetic field direction is south

The magnitude of the magnetic force remains the same

That is , F = BIL sin 90

F = 0.01234 N to the west

c) If the magnetic field direction is 30 degrees south

The angle between the magnetic field and the length of the wire still remains 90 degrees

Therefore the magnitude of the force still remains 0.01234

F = 0.01234 N

d) the direction of the force is the North of West

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A suspension bridge has twin towers that are 1300 feet apart. Each tower extends 180 feet above the road surface. The cables are
zhannawk [14.2K]

Answer:

y = 17.04 ft

Explanation:

Since the cable touches the road at the mid point of two towers

so here we have vertex at that mid point taken to be origin

now the maximum height on the either side is given as

y = 180 ft

horizontal distance of the tower from mid point is given as

x = \frac{1300}{2} = 650 ft

now from the equation of parabola we have

y = k x^2

180 = k(650^2)

k = 4.26 \times 10^{-4}

now we have

y = (4.26 \times 10^{-4})x^2

now we need to find the height at distance of 200 ft from center

so we have

y = (4.26 \times 10^{-4})(200^2)

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The normal force acting on an object and the force of static friction do zero work on the object. However the reason that the wo
spin [16.1K]

Answer:

<em>The normal force is perpendicular to the displacement</em>

<em>The static friction force produces no displacement</em>

Explanation:

Work Done By Special Forces

The work is a physical magnitude that measures the dot product of the force applied to an object by the displacement it produces in it.

W=\vec F\ \vec r

It can be written in its scalar version as

W=F.d.cos\theta

Being F and d the magnitudes of the force and displacement, and \theta the angle between them

If the angle is zero, the work is at maximum, it the angle is 90°, the work is zero. If the angle is between 90° and 180°, the work is negative.

The normal force acts in the vertical direction when the object is being pushed horizontally. It means the angle between the force and the displacement is 90°, thus the work is

W=N.d.cos90^o=0

The work is zero because the force and the displacement are perpendicular

The static friction force exists only when the object is being applied a force of a magnitude not large enough to produce movement, i.e. the object is at rest. If the object is moved, the friction force is still present, but it's called dynamic friction force, usually smaller than the static.

Since in this case, there is no displacement, d=0, and the work is

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3 years ago
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At position of maximum height we know that the vertical component of its velocity will become zero

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so at that instant the motion of object is along x direction

while if we check the acceleration of object then it is due to gravity

so the acceleration of object is vertically downwards

so it is along y axis

so here these two physical quantities are perpendicular to each other

so correct answer would be

<em>C)At the maximum height, the velocity and acceleration vectors are perpendicular to each other. </em>

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