Only two forces act on an object (mass = 8 kg), as in the drawing. a. Find the m
ID: 1616630 • Letter: O
Question
Only two forces act on an object (mass = 8 kg), as in the drawing. a. Find the magnitude and direction (relative to the x axis) of the acceleration of the object. b. Calculate the weight of the object. c. [Bonus 2] Calculate the normal force on the box. Consider the roller coaster car (m = 1000 kg) and frictionless track as shown. The car has just enough initial velocity v_0 (NOT ZERO) at A to be able to barely pass hill B with virtually zero speed. At point D, the car's Potential Energy = 0 J and Kinetic Energy = 30,000 J. At point B, what is the car's Potential Energy? At point D, what is the car's speed?Explanation / Answer
the net force on the block is
F net = sqrt F x^2 + Fy^2
= sqrt ( 40)^2 + ( 60)^2
=72.11 N
from the Newton second law of motion
F net = ma
a = F net/m = 72.11/ 8 kg = 9 m/s^2
(b)
w= mg = 8 ( 9.8) = 78.4 N
( c)
theta = tan^-1 ( 60/40) = 56.3
N = mg sin theta = 78.4 N sin 56.3 = 65.23 N
As per guide lines I worked first problem kindly post remaning question in the next post
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