physics
posted by Anonymous .
Two forces,
1 = (3.85 − 2.85) N
and
2 = (2.95 − 3.65) N,
act on a particle of mass 2.10 kg that is initially at rest at coordinates
(−2.30 m, −3.60 m).
(a) What are the components of the particle's velocity at t = 11.8 s?
= m/s
(b) In what direction is the particle moving at t = 11.8 s?
° counterclockwise from the +xaxis
(c) What displacement does the particle undergo during the first 11.8 s?
Δ = m
(d) What are the coordinates of the particle at t = 11.8 s?
x = m
y = m

F1 = (x,y) = (3.85N,2.85N)
F2 = (x,y) = (2.95N,3.65N).
a. Fr=X+Yi=(3.85+2.95) + (2.85i3.65i)=
6.8  6.5i = 9.41N[316.3o] = Resultant
force.
2.10kg particle
Location: (x,y) = (2.30m,3.60m)
a(x) = Fx/mass = 6.8/2.1 = 3.24 m/s^2
Vx=Vox + a*t = 0 + 3.24*11.8= 38.21 m/s.
a(y) = Fy/mass = 6.5/2.1 = 3.10 m/s^2
Vy=Voy + a*t = 0  3.1*11.8= 36.52 m/s.
b. Tan A = Vy/Vx = 36.52/38.21=0.95587
A = 43.71o
c. d(x) = (Vx^2Vox^2)/2a =
(38.21^20)/6.48 = 225.3 m.
Dx = 225.3  (2.30) = 227.6 m. = Hor.
comp. of displacement.
d(y) = (Vy^2Voy^2)/2a =
(36.52^20)/6.2 = 215.1 m.
Dy = 215.1  (3.60) = 211.5 m. = Ver.
comp. of displacement.
Tan Ar = Dy/Dx = 211.5/227.6 = 0.92933
Ar = 42.9o
Displacement=Dx/cosA=227.6/cos42.9=310.7
m.
X = 225.3 m
Y = 215.1 m.
d. (d(x),d(y)) = (225.3m,215.1m)
Respond to this Question
Similar Questions

chemistry
For which of these elements would the electron affinity process shown be least favorable? 
chemistry
For which of these elements would the electron affinity process shown be least favorable? 
calculus
Find an equation for the surface consisting of all points P(x, y, z) equidistant from the point P(0, 1, 0) and the plane x = 3. Answer Choices: 1. y2 + z2 − 6x + 2y − 8 = 0 2. x2 + z2 + 6y − 2z − 8 = 0 3. y2 … 
biology
Given the part of the molecule shown below, can the underlined atom participate in a hydrogen bond with an approriate bonding partner? 
Grade 12 Calculus
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
calculus (gr 12)
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
calculus (gr 12)
Evaluate each of the following. Show all your calculations. a) f'(3) if f(x) = x^4 − 3x b) f' (−2) if f(x) = 2x^3 + 4x^2 − 5x + 8 c) f" (1) if f(X) = −3x^2 − 5x + 7 … 
physics
Four charges −8 × 10^−9 C at (0 m, 0 m), −7 × 10^−9 C at (5 m, 1 m), −1 × 10^−9 C at (−2 m, −3 m), and 2 × 10^−9 C at (−2 m, 4 m), are arranged in the (x, y) plane as … 
algerbra help plzzz
Select all of the expressions that are equivalent to 1/3(−5x−6/2)−7/8 . A.−20x−45/24 B.−5x−6/6−7/8 C.−8x/24+21/24 D.5x−6−21/12 
math help azap
Select all of the expressions that are equivalent to 1/3(−5x−6/2)−7/8 . A.−20x−45/24 B.−5x−6/6−7/8 C.−8x/24+21/24 D.5x−6−21/12