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2 years ago

An automobile tire is rated to last for 60,000 miles. to an order of magnitude, through how many revolutions will it turn?

1 answer:

3 0

Let the average diameter of the automobile tire is about 2 feet. Therefore its circumference is $2 feet\times \pi =6.29 feet$ .

Now we have to convert an automobile tire is rated to last for 60,000 miles in to feet.

As $1 miles =5280 feet$ .

So, $60000 miles = 60000\times 5280 feet =316800000 feet$

Thus the number of revolutions,

$\frac{316800000 feet }{6.29 feet} =50365659.8 revolutions \\\\=5.0\times10^7 rev$

Hence, order of magnitude of revolutions is 7.

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A toy car goes over a small ramp at a horizontal velocity of 1.21 m/s and decelerates at 0.131 m/s2 while in the air. The total

xz_007 [3.2K]

We need to considerate only the horizontal component of the motion of the toy car.

The formula for the distance in a decelerated motion is:
s = s₀ + v₀·t - 1/2·a·t²

where:
s₀ = initial position = 0
v₀ = initial velocity = 1.21 m/s
t = time elapsed = 0.342 s
a = deceleration = 0.131 m/s²

Plugging in numbers:
s = 0 + 1.21×0.342 - 0.5×0.141×(0.342)²
= 0.406 m

Hence, the toy car traveled a distance of about 41 cm.

3 0

2 years ago

A robot is exploring charon, the dwarf planet pluto's largest moon. Gravity on charon is 0.278 meters per second [m divided b

DochEvi [55]

In order to find the efficiency first we will find the Change in Potential energy of the small stone that robot picked up

First we will find the mass of the stone

As it is given that stone is spherical in shape so first we will find its volume

$V = \frac{4}{3}\pi r^3$

$V = \frac{4}{3}\pi *(\frac{0.06}{2})^3$

$V = 1.13 * 10^{-4} m^3$

Now it is given that it's specific gravity is 10.8

So density of rock is

$\rho = 10.8 * 10^3 kg/m^3$

mass of the stone will be

$m = \rho V$

$m = 10.8* 10^3 * 1.13 * 10^{-4}$

$m = 1.22 kg$

now change in potential energy is given as

$\Delta U = mgH$

here

g = gravity on planet = 0.278 m/s^2

H = height lifted upwards = 15 cm

$\Delta U = 1.22* 0.278 * 0.15$

$\Delta U = 0.051 J$

Now energy supplied by internal circuit of robot is given by

$E = Vit$

V = voltage supplied = 10 V

i = current = 1.83 mA

t = time = 12 s

$E = 10* 1.83 * 10^{-3} * 12$

$E = 0.22 J$

Now efficiency is defined as the ratio of output work with given amount of energy used

$\eta = \frac{\Delta U}{E}*100$

$\eta = \frac{0.051}{0.22} = 0.23$

so efficiency will be 23 %

5 0

2 years ago

What are the two ways that scientists can study earth's history

Alika [10]

If you mean climate change. Then scientists can study it by seeing where places and things are eroded.

8 0

3 years ago

Match the technology that uses radio waves to the field in which it is used

Elden [556K]

Answer:

Naturally occurring radio waves are made by lightning or by astronomical objects. Artificially generated radio waves are used for fixed and mobile radio communication, broadcasting, radar and other navigation systems, communications satellites, computer networks and innumerable other applications.

Explanation:

5 0

2 years ago

A car is travelling at 70 mph. It travels for half an hour. How far has it gone?

rusak2 [61]

Answer:

35 miles

Explanation:

Since half of 70 is 35.....

6 0

2 years ago

Read 2 more answers