A constant retarding force of 50 N is applied to a body of mass 20 kg moving initially with a speed of 15 m s⁻¹. How long does the body take to stop?
Answers
Answered by
28
Hey mate,
# Answer- 6 s
## Explaination-
# Given-
F = -50 N
m = 20 kg
u = 15 m/s
v = 0
# Solution-
Force acting on body is given by,
F = m×a
F = m(v-u)/t
-50 = 20(0-15)/t
t = 20×15/50
t = 6 s
Body will take 6 s to stop due to retarding force.
# Answer- 6 s
## Explaination-
# Given-
F = -50 N
m = 20 kg
u = 15 m/s
v = 0
# Solution-
Force acting on body is given by,
F = m×a
F = m(v-u)/t
-50 = 20(0-15)/t
t = 20×15/50
t = 6 s
Body will take 6 s to stop due to retarding force.
Answered by
3
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Retarding force,
F = –50 N
Mass of the body,
m = 20 kg
Initial velocity of the body,
u = 15 m/s
Final velocity of the body,
v = 0
Using Newton’s second law of motion, the acceleration (a) produced in the body can be calculated as:
F = ma
=> –50 = 20 × a
=> a= -50/20 = -2.5 m/s^2
Using the first equation of motion, the time (t) taken by the body to come to rest can be calculated as:
v = u + at
=> t= -u/a = -15/-2.5= 6 sec.
I hope, this will help you
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