# physics

posted by anonymous

Three forces acting on an object are given by F1 = ( - 1.85i + 2.50j) N, F2 = ( - 5.10i + 3.25j ) N, and
F3 = ( - 45.0i + 48.0j ) N. The object experiences an acceleration of magnitude 3.75 m/s2.

(a) What is the direction of the acceleration?
_________° (from the positive x axis)

(b) What is the mass of the object?
_________ kg

(c) If the object is initially at rest, what is its speed after 17.0 s?
_________ m/s

(d) What are the velocity components of the object after 17.0 s?
( ________ i + _________ j ) m/s

1. drwls

This is an exercise in adding vectors. The ratio of components in vector sum will provide the fdirection information you need. The mass is the ratio of the force magnitude to the acceleration.
For (c), assume the initial speed is zero and multiply the acceleration and time interval. For (d), multiply the vector acceleration by the time.

Show your work if further assistance is needed.

2. Anonymous

a) direction of acceleration in the same way as resultant force, hence
Fr=F1+F2+F3=(-1.85-5.10-45.0)i+(2.50+3.25+48.0)j= -51.95i+53.75j [N]
θ=tanˉ¹(53.75/-51.95)=134°.
b) F=ma --- m=F/a --- (√((-51.95)^2+53.75^2))/3.75=19.9kg
c)Vf=Vi+at=0+3.75*17=63.75m/s
d)F=ma --- a=F/m ---āx=F̅x/m --āy=F̅y/m
ā=āx + āy
V̅f=V̅i+āt=0+((-51.95/19.9)i+(53.75/19.5)j)*10
V̅f=((-51.95/19.9)*10)i+(53.7/19.5)*10)j
V̅f= -26.1i+27.5j

## Similar Questions

1. ### physics

Three forces acting on an object are given by F1 = ( 1.95i - 1.60j ) N, F2 = ( - 4.50i - 3.25j ) N, and F3 = ( 46.0j ) N. The object experiences an acceleration of magnitude 3.85 m/s2 (a) What is the direction of the acceleration?
2. ### physics

what is the centripetal force acting on an object with a mass of 10kg moving at a velocity of 5m/s in a circle with a diameter of 3m when the object is moving in a circular motion are the forces balanced on the object why or why not
3. ### Physics

Three forces acting on an object are given by F1 = (-8.79i + 8.34j) N, F2 = (7.06i + -3.02j) N, and F3 = (-3.05i) N. The object experiences an acceleration of magnitude 2.26 m/s2. What are the components of the acceleration vector?
4. ### Physics - Multiple choice

An object is moving in a circle at a constant speed. From this you can be certain that a) there are at least two forces acting on the object, which balance each other. b) there are at least two forces acting on the object, which do …
5. ### Physics

Two forces F1 = -7.50i + 6.00j and F2 = 8.40i + 7.50j are acting on a mass of m = 6.20 kg. The forces are measured in newtons. What is the magnitude of the object's acceleration?
6. ### Physics

An object is moving with constant velocity -->v Which situation is impossible in such a circumstance?
7. ### College Physics

What is the centripetal force acting on an object with a mass of 20 kg moving at a velocity of 10 m/s in a circle with a diameter of 5 m?
8. ### The Effects of Force

Question #1: A basketball momentarily changes shape as it bounces off the floor. This is due to balanced forces acting on the ball. a. true b. false According to what I have studied when balanced forces are on an object, that object …
9. ### Physics

Multiple Choice. If all of the forces acting on an object an object are balanced (net force is zero), then: a. The object's speed will decrease b. The object's direction of motion can change, but its speed cannot C. The object is ecperiencing …
10. ### physics

two forces are acting on an object. F1= 60 N is horizontal while F2= -80N is vertical, what is the magnitude of the net force acting on the object?

More Similar Questions