The useful equations here are derived equations for rectilinear motion at constant acceleration:
a = (v - v₀)/t
2ax = v² - v₀²
x = v₀t + 0.5at²
1. Since it starts from rest, v₀ = 0. Then, v = <span>10.5 m/s and t=1.35 s
a = (10.5 - 0)/1.35 = 7.78 m/s</span>²
a = 7.78 m/s²*(1 km/1000 m)*(3,600 s/ 1 h)² = 100,828.8 km/h²
2. v₀ = 0; v = 60 km/h; t=5.4 s
a = [60 km/h*(1000 m/1km)*(1 h/3600 s) - 0]/5.4 s = 3.09 m/s²
3. Using the acceleration and velocities in #2, we can determine the distance by the formula: 2ax = v² - v₀²
2(3.09 m/s²)x = [60 km/h*(1000 m/1km)*(1 h/3600 s)]² - (0 m/s)²
Solving for x,
x = 44.95 m
4. Using acceleration in #2 and v₀ = 0, the time would be
x = v₀t + 0.5at²
0.25 km * 1,000 m/1 km = (0)(t) + (0.5)(3.09 m/s²)(t²)
Solving for t,
t = 12.72 seconds
5. Acceleration of automobile:
a = [(55 km/h - 25 km/h)*(1,000 m/1 km)*(1 h/3,600 s)]/30 s
a = 0.278 m/s²
<span>
</span>Acceleration of bicycle:
a = [(30 km/h - 0 km/h)*(1,000 m/1 km)*(1 h/3,600 s)]/(0.5 min * 60 s/1 min)
a = 0.278 m/s²
<span>
6. x = 85 km or 85,000 m; v</span>₀ = 0 m/s; v = 2,800 m/s
2ax = v² - v₀²
2a(85,000 m) = (2,800 m/s)² - 0²
a = 46.12 m/s²
7. Using the data given and acceleration in #6,
x = v₀t + 0.5at²
85,000 m = 0*t + 0.5(46.12 m/s²)(t²)
Solving for t,
t = 60.71 seconds
Given: Please see the attached image below.
To be able to
subtract vectors, we can either use the parallelogram method or the triangle
method. Take note that the only difference is that alternatively adding vectors
A and B, we will instead be adding A and – B. When we ponder of vector subtraction, we must
anticipate about it in terms of adding a negative vector. A negative vector has the same magnitude as the
original vector, however, it has an opposite direction.
So in this problem, the two vectors that will have the
largest magnitude are A & F when subtracted (i.e., when one vector is
subtracted from the other).
There is a missing data in the text of the problem: the current drawn is 0.5 A (found on internet)
Solution:
The power used by the toaster is the product between the voltage V and the current I:
The toaster is used for a time of 2 hours: t=2h, therefore the energy used is equal to
Answer:
A. Gamma decay
Explanation:
A form of nuclear decay in which the atomic number is unchanged is a gamma decay.
The atom has undergone a gamma decay.
In a gamma decay, no changes occur to the mass and atomic number of the substance.
- Gamma rays have zero atomic and mass numbers.
- When they cause decay, they cause no change to the mass and atomic numbers.
- They simply produce gamma rays during such reactions and these rays are very energetic.
The 5 major unit processes include chemical coagulation, flocculation, sedimentation, filtration, and disinfection (described below). There are chemicals added to the water as it enters the various treatment processes.
