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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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Calculate the energy released by the electron-capture decay of 5727Co. Consider only the energy of the nuclei (ignore the energy
erma4kov [3.2K]

Answer:

Explanation:

⁵⁷Co₂₇  + e⁻¹  =  ²⁷Fe₂₆

mass defect = 56.936296 + .00055 - 56.935399

= .001447 u

equivalent energy

= 931.5 x .001447 MeV

= 1.3479 MeV .

= 1.35 MeV

energy of gamma ray photons = .14  + .017

= .157 MeV .

Rest of the energy goes to neutrino .

energy going to neutrino .

= 1.35 - .157

= 1.193 MeV.

5 0
3 years ago
What is non uniform velocity​
saul85 [17]

Answer:

"Non-uniform velocity" occurs when<em> an object changes its velocity </em>upon motion. This happens when the object either accelerates or decelerates <em>(negative acceleration)</em> in its speed or changes its direction.

Explanation:

"Velocity" refers to<em> speed with a specific direction. </em>

If the velocity is uniform, there's<u> no change in speed and direction</u>. However, if changes occur on either the speed, direction or both, then <em>the velocity becomes </em><u><em>variable or non-uniform.</em></u>

For example, when it comes to a moving car, it is said to be in non-uniform velocity if <em>the distances covered is unequal in relation to the equal intervals of time.</em>

8 0
3 years ago
In 2 1/2 hours an airplane travels 1150 km against the wind. It takes 50 min to travel 450 km with the wind. Find the speed of t
Tamiku [17]

Answer:

Velocity of airplane is 500 km/h

Velocity of wind is 40 km/h

Explanation:

V_a= Velocity of airplane in still air

V_w= Velocity of wind

Time taken by plane to travel 1150 km against the wind is 2.5 hours

V_a-V_w=\frac {1150}{2.5}\\\Rightarrow V_a-V_w=460\quad (1)

Time taken by plane to travel 450 km against the wind is 50 minutes = 50/60 hours

V_a+V_w=\frac {450}{50}\times 60\\\Rightarrow V_a-V_w=540\quad (2)

Subtracting the two equations we get

V_a-V_w-V_a-V_w=460-540\\\Rightarrow -2V_w=-80\\\Rightarrow V_w=40\ km/h

Applying the value of velocity of wind to the first equation

V_a-40=460\\\Rightarrow V_a =500\ km/h

∴ Velocity of airplane in still air is 500 km/h and Velocity of wind is 40 km/h

5 0
3 years ago
You observe two cars traveling in the same direction on a long, straight section of Highway 5. The red car is moving at a consta
Romashka-Z-Leto [24]

Answer:

a) 3.66 s

b) 124.4 m

c) 3.12s

Explanation:

Given that

Speed of the Red Car, v₁ = 34 m/s

Speed of the Blue Car, v₂ = 28 m/s

Distance between the two cars, d = 22 m

The difference between the speed of the cars is: 34 - 28 = 6 m/s

From this, we can deduce that the red car will be catching up to the blue car at a speed of 6 m/s.

1)

If we divide the distance by the difference in speed. This becomes

d/v = 22/6 = 3.66 s. Which means, It takes 3.66 seconds for the red car to meet up with the blue car.

2

From the previous part, we were able to confirm that it took 3.66 seconds for the red car to meet up the blue car. Also, the speed with which it were traveling was travelling at, was constant, so we only need to multiply it by the time from (1) to get the distance.

v = d * t = 34 * 3.66 = 124.4

Therefore the red car travels at 124.4 m before catching up to the blue car.

3

If the red car starts to accelerate the moment we see it, the time it will take, to get to the blue car will be less than what we had gotten. We can find this using one of the equations of motion.

S = ut + ½gt², where

S = 22

u = 6

t = ?

g = 2/3

22 = 6t + 1/3t²

By using the quadratic formula, we find out the two answers listed below

t1 = 3.12 s

t2 = - 21.12 s

We all know that negative time is not possible, so the answer is t1. At 3.12 seconds

8 0
3 years ago
Which device converts electrical energy into kinetic energy?
andriy [413]
<h3><u>Answer;</u></h3>

<em>Electric motor</em>

<h3><u>Explanation;</u></h3>
  • <em><u>Energy</u></em> is the ability to do work. According to the law of conservation of energy,<em><u> energy can not be created nor destroyed but can be changed from one form to another</u></em>.
  • Changing energy from one form to another is done by devices we call <em><u>transducers. These are elements that convert energy from one form to another.</u></em>
  • In this case, electrical motor is an example of a transducer that converts electrical energy to kinetic energy. <em><u>Electrical energy is supplied to a the motor which converts it to rotational energy or mechanical energy then to kinetic energy.</u></em>
4 0
3 years ago
Read 2 more answers
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