For one thing, an object that is not moving has no momentum, no matter how much mass it has. Fast objects are also difficult to stop. Bullets have a very small mass, but you wouldn't want to try and stop one! More speed means more momentum - momentum is directly proportional to velocity
Answer:
Final speed of car = 12 m/s
Explanation:
We have equation of motion v = u + at, where v is final velocity, u is initial velocity, a is acceleration and t is time.
a) A cart starts from rest and accelerates at 4.0 m/s² for 5.0 s
v = ?
u = 0 m/s
a = 4.0 m/s²
t = 5 s
v = u + at = 0 + 4 x 5 = 20 m/s
b) Then maintains that velocity for 10 s
v = ?
u = 20 m/s
a = 0 m/s²
t = 10 s
v = u + at = 20 + 0 x 10 = 20 m/s
c) Then decelerates at the rate of 2.0 m/s² for 4.0 s
v = ?
u = 20 m/s
a = -2.0 m/s²
t = 4 s
v = u + at = 20 + -2 x 4 = 12 m/s
Final speed of car = 12 m/s
Part A:
To answer this item, we need to convert the given revolutions per minute in speed expressed as miles per hour. In order to do so, we need to use the dimensional analysis and the appropriate conversion factor.
We calculate the circumference that is covered by the wheel.
C = πD
where C is the circumference and D is the diameter.
Substitute the known values,
C = π(26 in) = 81.68 inches
The speed tested is calculated below.
s = (81.68 inches/rev)(480 rev/min)(1 mil/63360 inches)(60 min/1 hr)
s = 37.127 mil/h
<em>ANSWER: 37.127 mil/h</em>
Part B:
Similar to what was done in Part A, the setting of the balancer is calculated below,
setting = (80 mil/h)(1h/60 min)(63360 in/1 mil)(1 rev/81.68 in)
setting = 1034.23 rev/min
<em>ANSWER: 1034.23 rev/min</em>
Which data set has the largest range? A. 55, 57, 59, 60, 61, 49, 48 B. 21, 25, 14, 16, 29, 22, 20 C. 12, 15, 16, 19, 18, 15, 27
Simora [160]
Data D has the largest range.
Data A: 61-48=13
Data B: 29-14=15
Data C:27-12=15
Data D:54-31=23
Therefore, Data D has the largest range.
Answer:
(b) da/√2
Explanation:
Detailed explanation and calculation is shown in the image below
