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fenix001 [56]
3 years ago
14

A car starts from rest at a stop sign. It accelerates at 4.0 m/s2 for 3 seconds, coasts for 2 s, and then slows down at a rate o

f 3.0 m/s2 for the next stop sign. How far apart are the stop signs?
Physics
1 answer:
stellarik [79]3 years ago
6 0
You need to divide the problem into three parts:

a) accelerated motion
what we know: initial velocity vi = 0, time t = 3s, acceleration a = 40m/s²;
the formula to find the space is: s = vi + 1/2·a·t²
all the units of measurement are fine,
therefore: s = 0 + 1/2·4·9 = 18m

b) constant motion
we know t = 2s and that the velocity here is equal to the final velocity (vf) of part a), which we need to calculate:
vf = vi + a·t which brings vf = 0 + 4·3 = 12m/s;
we can know calculate the total space with the formula s = vf·t = 12·2 = 24m

c) decelerated motion
we know the acceleration a = -3m/s² (minus because the velocity is decresing) and the initial velocity which is equals to the velocity of part b), therefore vi = 12m/s
we need to calculate first the time taken to bring the car to stop, we can use the formula t = v/a = 12/3 = 4s
we can know calculate the space through the formula 
s = vi·t + 1/2·a·t² = 12·4 + 1/2·(-3)·(4²) = 48 - 24 = 24m

We can now sum up the three spaces found to get the total distance between the stop signs:
s = sa + sb + sc = 18+24+24 = 66m




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nlexa [21]

Answer:

A spectroscope

Explanation:

A spectroscope is used by scientists to separate a source of light ( usually white light ) into its various compositions. i.e it is used to determine the chemical makeup of a visible source of light. hence to determine whether the red light produces photo electrons, which is a chemical makeup of visible light a spectroscope should be added to the circuit.

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6 0
3 years ago
What is gravitational constant?<br>​
WITCHER [35]
The constant in Newton's law of gravitation relating gravity to the masses and separation of particles, equal to 6.67 × 10-11N m2 kg-2.
6 0
2 years ago
A tube of water is open on one end to the environment while the other end is closed. The height of the water relative to the bas
Andreas93 [3]

Answer:

<em>1.06 atm</em>

Explanation:

On the open end of the tube, the pressure will be the sum of atmospheric pressure and the pressure due to the height of water

The pressure due to a height of water = ρgh

where ρ is the density of water = 1000 kg/m^3

g is the acceleration due to gravity = 9.81 m/s^2

h is the height of the water column

The height of water column on the open end = 100 cm = 1 m

pressure on this end = ρgh = 1000 x 9.81 x 1 = 9810 Pa

Atmospheric pressure = 101325 Pa

The total pressure on the open end =  101325 Pa + 9810 Pa = <em>111135 Pa</em>

The pressure due to the water column on the closed end = ρgh

The height of the water in the closed end = 40 cm = 0.4 m

The pressure due to this column of water = 1000 x 9.81 x 0.4 = <em>3924 Pa</em>

The resultant pressure on the water on the top of the closed end of the tube = 111135 Pa - 3924 Pa =<em> 107211 Pa</em>

In atm unit, this pressure = 107211/101325 = <em>1.06 atm</em>

7 0
3 years ago
A fireman is sliding down a fire pole. As he speeds up, he tightens his grip on the pole, thus increasing the vertical frictiona
Andrei [34K]

Answer:

The fireman will continue to descend, but with a constant speed.

Explanation:

In kinetic friction <em>(which is the case discussed here) </em>since the fireman is already in motion because of a certain force, once the frictional force matches the normal force, the fireman will stop accelerating and continue moving at a constant rate with the original speed he had. We will need a force greater than the normal force acting on the fireman to cause a deceleration.

We need to understand the difference between static friction and kinetic friction.

Static friction occurs in objects that are stationary, while kinetic friction occurs in objects that are already in motion.  

In static friction, when the frictional force matches the weight or normal force of the object, the object remains stationary.

While in kinetic friction, when the frictional force matches the normal force, the object will stop accelerating. This is the case of the fireman sliding down the pole as discussed above.

8 0
3 years ago
Can someone please help? Thank u!
Snowcat [4.5K]

Answer:

B. 7.5 m/s^2

Explanation:

To find acceleration you need to subtract the final velocity by the starting velocity then divide that by the time

a= v-v/t

a= 60-0/8

a= 60/8

a=7.5 m/s^2

7 0
2 years ago
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