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blsea [12.9K]
2 years ago
11

The displacement ‘s' of a point moving in a straight line is given by: s = 6t^2 + 5t – 5, ‘s' being in cm and ‘t' in s. The init

ial velocity of the particle is:
Physics
1 answer:
Ivan2 years ago
6 0

Answer:

the initial velocity of the particle is 5 cm/s

Explanation:

Given initial displacement as, s = 6t² + 5t - 5

s is measured in "cm"

t is measured in "seconds"

Velocity is the rate of change of displacement with time. Expressed as follows;

v = \frac{ds}{dt} = 12t + 5

for initial velocity, time (t) = 0

v = 12(0) + 5

v = 5 cm/s

Therefore, the initial velocity of the particle is 5 cm/s

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the sole of a tennis shoe has a surface area of 0.0290 m^2. if it is worn by a 65.0 kg person, what pressure does the shoe exert
AURORKA [14]

Answer: 21965.517 Pa

Explanation:

Pressure P is the force F exerted by a gas, a liquid or a solid on a surface (or area) A, its unit is Pascal Pa which is equal to N/m^{2} and its formula is:  

P=\frac{F}{A} (1)

In this case we have the surface of a sole of a tennis shoe:

A=0.0290 m^{2} (2)

And the mass m of the person who wears it:

m=65 kg

On the other hand, we know the weight is the force  F the Earth exerts on people and objects due gravity g :

F=m.g=(65 kg)(9.8m/^{2})

F=637N (3)

Substituting (2) and (3) in (1):

P=\frac{637N}{0.0290 m^{2}} (4)

Finally:

P=21965.517 Pa This is the pressure the shoe exert on the ground

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3 years ago
If you lose control of your vehicle and collide with a fixed object, such as a tree, at 60 m.p.h., the force of impact is the sa
My name is Ann [436]
You can compare the velocity of the car, 60 mph, with the velocity that a mass would acquire when falls from certain height.

First, convert 60 mph to m/s:

60 miles/h * 1.60 km/mile * 1000 m/km * 1h/3600s = 26.67 m/s

Second, calculate from what height a body in free fall reachs 26.67 m/s velocity when hits the floor.

free fall => Vf^2 = 2g*H => H = Vf^2 / (2g)

H = (26.67m/s)^2 / (2*9.8 m/s) = 36.2 m

If you consider that the height between the floors of a building is approximately 3.6 m, you get 36.2 m / 3.6 m/floor = 10 floors.

Then, you conclude that the force of impact is the same as driving you vehicle off a 10 story building.
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Answer:

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Answer:

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