Answer:
(a) The constants required describing the rod's density are B=2.6 and C=1.325.
(b) The mass of the road can be found using
Explanation:
(a) Since the density variation is linear and the coordinate x begins at the low-density end of the rod, we have a density given by
recalling that the coordinate x is measured in centimeters.
(b) The mass of the rod can be found by having into account the density, which is x-dependent, and the volume differential for the rod:
,
hence, the mass of the rod is 126.6 g.
Answer:
vb = 22.13 m/s
Explanation:
ma = 124 kg
mb = 13 kg
vi = 2.10 m/s
According to the property of conservation of momentum, and considering that, initially, both the astronaut and the bag moved together at 2.10 m/s:
The minimum final velocity of the bag, vb, the will keep the astronaut from drifting away forever occurs when va = 0:
The minimum final velocity of the bag is 22.13 m/s.
Answer: 5.29 seconds
Explanation:
if the speed is 24 meters per second than it would take you 5.29 seconds or 127meters/24m/s to get 5.29s
Answer:
(a) 10 s
(b) 236.5 m
(c) Kathy's speed = 47.3 m/s
Stan's speed = 42.9 m/s
Explanation:
<u>Given:</u>
- = initial speed of Kathy = 0 m/s
- = initial speed of Stan = 0 m/s
- = acceleration of Kathy =
- = acceleration of Stan =
<u>Assumptions:</u>
- = final speed of Kathy when see catches Stan
- = final speed of Stan when Kathy catches him
- = distance traveled by Kathy to catch Stan
- = distance traveled by Stan when Kathy catches him
- = time taken by Kathy to catch Stan =
- = time interval in which Kathy catches Stan =
Part (a):
Kathy will catch Stan only if the distances traveled by each of them are equal at the same instant.
Hence, Kathy catches Stan after 11 s from the Stan's starting times.
Part (b):
Distance traveled by Kathy to catch Stan will be distance the distance traveled by her in 10 s.
Hence, Kathy traveled a distance of 236.5 m to overtake Stan.
Part (c):
The speed of Kathy at the instant she catches Stan is 47.3 m/s.
The speed of Stan at the instant Kathy catches him is 42.9 m/s.