A person whose mass is 75 kg is lowered with a rope down the side of a cliff. The rope being used can support a maximum of 595 N. In order to prevent the rope from breaking, at what minimum rate must the person accelerate downward?
2007-12-02 23:57:08 · 8 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
Downward force due to gravity = mg
Upward pull = ma
Nett force = mg - ma = m(g - a) = 75(g - a) N
Max force = 595 N
75(g - a) = 595
75g - 75a = 595
750 - 75a = 595 (taking g as 10m/sec²)
75a = 155
a = 155/75 m/sec²
a = 2.1 m/sec²
2007-12-03 00:30:18 · answer #1 · answered by Como 7 · 1⤊ 0⤋
A person whose mass is 75 kg will exert a strain of 75 x 9.8 Newtons = 735 Newtons
The rope will break under this strain
We can simply take the difference between these two figures
(735 - 595 = 140) and derive a reduction figure of 140 required.
If we express this as a fraction 140 / 735 = 0.19
This is a fraction of gravity reduction required. 0.19 gee
The acceleration of gravity is 9.8 Meters per second per second - thus 0.19 x 9.8 = 1.862 Meters per second per second is the Answer.
However at lower grades in school 10 Meters per second per second is used, and a 1Kg exerts a force of 10 Newton is the simplified value. These would give a round value of 2 Meters per Second per Second.
2007-12-03 00:47:20 · answer #2 · answered by eastanglianuk1951 3 · 1⤊ 1⤋
for my area, i like it, with the exception of #5. regrettably, we do have this element called due technique. they have a applicable to a tribulation and to be shown accountable. i might execute the violent rapists besides.
2016-12-17 05:33:55 · answer #3 · answered by ? 4 · 0⤊ 0⤋
around 5m per sec.
2007-12-03 00:05:46 · answer #4 · answered by Anonymous · 0⤊ 0⤋
nope
2007-12-02 23:59:42 · answer #5 · answered by Anonymous · 0⤊ 0⤋
No, but I would brush up on your spelling, if I were you.
2007-12-03 00:20:01 · answer #6 · answered by Derek R 1 · 0⤊ 1⤋
try the equation F=MA :-)
2007-12-03 00:02:13 · answer #7 · answered by Anonymous · 0⤊ 1⤋
...And this is why I did Chemistry instead.
2007-12-03 00:01:45 · answer #8 · answered by kinsey07 3 · 0⤊ 0⤋