Rectilinear Motion, Circular Motion and Periodic Motion.
Answer: a) 456.66 s ; b) 564.3 m
Explanation: The time spend to cover any distance a constant velocity is given by:
v= distance/time so t=distance/v
The slower student time is: t=780m/0.9 m/s= 866.66 s
For the faster students t=780 m/1,9 m/s= 410.52 s
Therefore the time difference is 866.66-410.52= 456.14 s
In order to calculate the distance that faster student should walk
to arrive 5,5 m before that slower student, we consider the follow expressions:
distance =vslower*time1
distance= vfaster*time 2
The time difference is 5.5 m that is equal to 330 s
replacing in the above expression we have
time 1= 627 s
time2 = 297 s
The distance traveled is 564,3 m
Answer:
the acceleration ![a^{\to} = (0.0159 \ \ m/s^2 )i](https://tex.z-dn.net/?f=a%5E%7B%5Cto%7D%20%3D%20%280.0159%20%5C%20%5C%20m%2Fs%5E2%20%29i)
Explanation:
Given that:
the initial speed v₁ = 0 m/s i.e starting from rest ; since the car accelerates at a distance Δx = 6 miles in order to teach that final speed v₂ of 63.15 km/h.
So; the acceleration for the first 6 miles can be calculated by using the formula:
v₂² = v₁² + 2a (Δx)
Making acceleration a the subject of the formula in the above expression ; we have:
v₂² - v₁² = 2a (Δx)
![a = \dfrac{v_2^2 - v_1^2 }{2 \Delta x}](https://tex.z-dn.net/?f=a%20%3D%20%5Cdfrac%7Bv_2%5E2%20-%20v_1%5E2%20%7D%7B2%20%5CDelta%20x%7D)
![a = \dfrac{(63.15 \ km/s)^2 - (0 \ m/s)^2 }{2 (6 \ miles)}](https://tex.z-dn.net/?f=a%20%3D%20%5Cdfrac%7B%2863.15%20%5C%20km%2Fs%29%5E2%20-%20%280%20%5C%20m%2Fs%29%5E2%20%7D%7B2%20%286%20%5C%20miles%29%7D)
![a = \dfrac{(17.54 \ m/s)^2 - (0 \ m/s)^2 }{2 (9.65*10^3 \ m)}](https://tex.z-dn.net/?f=a%20%3D%20%5Cdfrac%7B%2817.54%20%5C%20m%2Fs%29%5E2%20-%20%280%20%5C%20m%2Fs%29%5E2%20%7D%7B2%20%289.65%2A10%5E3%20%5C%20m%29%7D)
![a =0.0159 \ m/s^2](https://tex.z-dn.net/?f=a%20%3D0.0159%20%5C%20m%2Fs%5E2)
Thus;
Assume the car moves in the +x direction;
the acceleration ![a^{\to} = (0.0159 \ \ m/s^2 )i](https://tex.z-dn.net/?f=a%5E%7B%5Cto%7D%20%3D%20%280.0159%20%5C%20%5C%20m%2Fs%5E2%20%29i)
Answer:
92 protons
Explanation:
The mass number is
238
, so the nucleus has <u>238 particles</u> in total, including <u>146 neutrons</u>. So to calculate the number of neutrons we have to subtract: 238 − 146 = 92