Explanation:
Here,
- Initial velocity (u) = 0 (as it starts from rest)
- Final velocity (v) = 60 km/h
- Time taken (t) = 15 min
<u>C</u><u>o</u><u>n</u><u>v</u><u>e</u><u>r</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>the</u><u> </u><u>quanti</u><u>ties</u><u> </u><u>into</u><u> </u><u>its</u><u> </u><u>standard </u><u>form</u><u> </u><u>:</u>
→ v = 60 km/h
→ v = ( 60 × ) m/s
→ v = ( 10 × ) m/s
→ v = m/s
→ <u>v = 16.66 m/s</u>
Also,
→ t = 15 minutes
→ t = (15 × 60) seconds
→<u> t = 900 seconds</u>
<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>accele</u><u>ration</u><u> </u><u>:</u></h3>
★ v = u + at
- v is final velocity
- a is acceleration
- u is initial velocity
- t is time
→ 16.66 = 0 + 900a
→ 16.66 - 0 = 900a
→ 16.66 = 900a
→ = a
→ 0.0185 m/s² = a
∴ Acceleration is 0.0185 m/s².
<h2>_________________________</h2>
<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>n</u><u>g</u><u> </u><u>distan</u><u>ce</u><u> </u><u>cover</u><u>e</u><u>d</u><u> </u><u>:</u></h3>
★ v² - u² = 2as
- v is final velocity
- a is acceleration
- u is initial velocity
- s is distance
→ (16.66)² - (0)² = 2 × 0.0185 × s
→ 277.5556 - 0 = 0.037s
→ 277.5556 = 0.037s
→ = s
→ 7501.50 m = s
∴ Distance covered is 7501.50 m .
Answer:
4.44s
Explanation:
A 34-kg child on an 18-kg swing set swings back and forth through small angles. If the length of the very light supporting cables for the swing is 4.9 m, how long does it take for each complete back-and-forth swing? Assume that the child and swing set are very small compared to the length of the cables
since the mass of the child and that of the swing is negligible, the masses wont be involved in the calculation
T=2π√L/g
g=acceleration due to gravity which is 9.81m/s2
the length of the supporting cable is 4.9m
T the period
period is the time required to make a complete oscillation
T=2*π√4.9/9.81
T=2*π*0.706
T=4.44s
4.44s
Answer:
equal
Explanation:
If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be slides, rotated, flipped and turned to be looked identical. If repositioned, they coincide with each other. The symbol of congruence is' ≅'.
y = 0m
y0 = 166m
v0y = 0 m/s
g = 9.8 m/s^2
t = ?
Solve for t:
y = y0 + v0y*t - (0.5)gt^2
0 = 166 - (0.5)(9.8)t^2
t = 5.82 s
Now, using time, we can solve for the range using the equation:
x = vx(t)
x = (40)(5.82)
x = 232.8 m
The impact horizontal component of velocity will be 40 m/s as velocity in terms of x is always constant. To find the impact vertical component of velocity, we use the equation:
v = v0y - gt
v = 0 - (9.8)(5.82)
v = -57.04 m/s
Answer:
(a) True
Explanation:
A supernova is a powerful light explosion that occurs in massive stars.
During a supernova, the star releases very large amounts of energy as well as neutrons, which allows elements heavier than iron, such as silver, uranium and lead, to be produced.
Therefore, the correct option is "a" True
Elements more massive than iron (e.g. silver, uranium and lead) are created from supernova events.