Mechanics problem  Newtons laws  resultant force
posted by John .
I have this mechanics problem. Please help me solve it.
Rory, Aurora and Raoul are three lions fi ghting over a piece of meat of mass 12
kg.
Each lion exerts a horizontal pull. Rory pulls with a force of 800 N.
Aurora, who is 120degrees to Rory's right, exerts a force of 400 N.
Raoul is 140 degrees to Rory's left.
The meat accelerates in Rory's direction.
(a) Find the force which Raoul is exerting.
Thank you in advance.

Let FRaoul be the force exerted by Raoul.
Consider the direction perpendicular to Rory's direction,
There is no nett force in that direction as there is no movement along it.
FRaoul Cos(40º) = 400 N * Cos(60º) > FRaoul = 261 N
Nett force in Rory's direction = 800 N  261 N * Sin(40º)  400 N * Sin(60º).
You just apply F = m*a to find the acceleration. 
In the case of resolving the force perpendicular to Rory's direction, isnt it suppose to be FRaoul cos(50º) = 400 cos(30º) ?
Respond to this Question
Similar Questions

physics
Two dogs pull horizontally on ropes attached to a post; the angle between the ropes is 65.0ú. Dog " A" exerts a force of 256 N and dog " B " exerts a force of 344 N . I) Find the magnitude of the resultant force. ( Answered = 508 … 
conversion
how to convert 32.2 pounds mass to pounds force, to kilograms, and to newtons? 
physics
At a picnic, there is a contest in which hoses are used to shoot water at a beach ball from three directions. As a result, three forces act on the ball, F1, F2, and F3 (see drawing). The magitudes of 1 and 2 are F1 = 55.0 newtons and … 
physics
A mass of 8 kg lies on a horizontal, frictionless floor. A force of 72 Newtons pushes to the left (negative x direction) with a force of 72 Newtons. Another force of unknown magnitude pushes the mass in a direction of 21.4 degrees … 
PLEASE HELP, physics/math
Three people are trying to hold a lion still for the vet. The lion, in the center, is wearing a collar with three ropes attached to it and each person has a hold of the rope. charlie is pulling in the direction of 62 degrees west of … 
Resultant Force?
a force F1 of 35 newtons pulls at an angle of 15 degrees notrth of due east. A force F2 of 75 newtons pulls at an angle of 55 degrees west of due south. Find the magntiude and direction of the resultant force. Please help me  I have … 
Calculus
Use newtons method and the function f(x)=x^2a to derive the mechanics rule. Mechanics Rule for approaching sqrt(a), a>0, is Xn+1=1/2(Xn+a/Xn), n=1,2,3,... 
Math
Steven bought a piece of meat and cut it into three pieces. The mass of the first piece of meat was 5/8 of the mass of the second piece of meat. The mass of the second piece of meat was 4/7 of the mass of the third piece of meat. a. … 
mechanics
A particle of mass 10 kg is acted on by a resultant force, F newtons. If the position vector of the particle is given by r = 6ti + (4t + 8t2)j, then F is equal toƒª 
Physics Classical Mechanics
You are holding a ball of mass m2 in your hand. In this problem you will solve for the upward force T⃗ that the tendon of your biceps muscle exerts to keep the forearm horizontal and the downward force F⃗ that the upper …