Question #96660

1 Answer
Dec 14, 2017

Answer:

#F = 12,525 N" (answer C)"#

Explanation:

#x = v_0 t + a t^2/2#
#v = v_0 + a t#
#v = 0 => t = -v_0/a => x = -v_0^2 / (2a)#

#30^2 / (2a) = -53.5#
#=> a = -8.41 m/s^2#
#20^2 / (2a) = -23.9#
#=> a = -8.37 m/s^2#
#10^2 / (2a) = -6.1#
#=> a = -8.20 m/s^2#

#=> a = -8.35 m/s^2#
#=> F = m a = 1,500 * 8.35 = 12,525 N#