A stone thrown from the top of a building is given an initial velocity of 20.0 m/s straight upward. The stone is launched 50.0 m above the ground, and the stone just misses the edge of the roof on its way down as shown in Figure 2.14.

(A) 1.18 * 10 ^4 N (B) 2.94 * 10 ^ 3 pa

The mattress of a water bed is 2.00 m long by 2.00 m wide and 30.0 cm deep. (A) Find the weight of the water in the mattress. (B) Find the pressure exerted by the water bed on the floor when the bed rests in its normal position. Assume the entire lower surface of the bed makes contact with the floor.

60×0.0+15×0.10/60+15=1.50/75=0.02 The center of mass will be at 0.020 m from the circle.

The minute hand of a clock consists of an arrow with a circle connected by a piece of metal with almost zero mass. The mass of the arrow is 15.0 g. The circle has a mass of 60.0 g. If the circle is at position 0.000 m, the position of an arrow is at 0.100 m, then find out the center of mass?

0

The polar coordinates of a point are r= 6.50 m and theta= 180°. y coordinate of this point in m is

-6.5

The polar coordinates of a point are r= 6.50 m and thita= 180°. x coordinate of this point in m is

-8.5

The polar coordinates of a point are r= 8.50 m and thita= 180°. x coordinate of this point in m is

A man cleaning a floor pulls a vacuum cleaner with a force of magnitude F 5 60.0 N at an angle of 35.08 with the horizontal .Calculate the work done by the force on the vacuum cleaner as the vacuum cleaner is displaced 5.00 m to the right.

150J

The vectors A and B are given by A 5 2i 1 3j and B 5 2i 1 2j. Determine the scalar product A .B?

4

Find the sum A=(2i+2j)m B=(2i+4j)m

4.5

An 1 500-kg car stopped at a traffic light is struck from the rear by a 800-kg car. The two cars become entangled, moving along the same path as that of the originally moving car. If the smaller car were moving at 10.0 m/s before the collision, what is the velocity of the entangled cars after the collision?

6.52 m\s

A) 1.09 mg B) 0.908 mg

A child of mass mrides on a Ferris wheel as shown in Figure 6.6a. The child moves in a vertical circle of radius 10.0 m at a constant speed of 3.00 m/s (A) Determine the force exerted by the seat on the child at the bottom of the ride. Express your anser in terms of the weight of the child, mg B Determine the force exerted by the seat on the child at the sop of the ride.

(A) k=2.7 *10^2 N/m (B) ws = -5.4 * 10^-2 J

A common technique used to measure the force constant of a spring is demonstrated by the setup in Figure The spring is hung vertically , and an object of mass m is attached to its lower end. Under the action of the "load" mg, the spring stretches a distance d from its equilibrium position. (A) If a spring is stretched 2.0 cm by a suspended object having a mass of 0.55 kg, what is the force constant of the spring? (B) How much work is done by the spring on the object as it stretches through this distance?

2.0k N.m

A force of F= ( 2.00 i + 3.00 j ) N is applied to an object that is pivoted about a fixed axis aligned along the z coordinate axis. The force is applied at a point located at r= (4.00 i + 5.00 j ) m. Find the torque T applied to the object.

31

A hockey puck having a mass of 0.30 kg slides on frictionless horizontal surface of an ice rink two hockey sticks strike the puck simultaneously exerting the forces on the puck shown in figure 5.4 . the force F1 has a magnitude of 5.0 N and the force F2 has a magnitude of 8.0 N .Determine both the magnitude and the direction of the pucks acceleration .

∑F_x =F_x1+F_x2 ∑F_x =F1 cos⁡(-20)+Fx2 cos⁡(60) ∑F_x =(6N)(0.94)+(9N) ∑F_x =5.64N+4.5N →∑F_x =10.14 N ∑Fy =Fy1+Fy2→∑Fy =F1 sin⁡(-20)+Fx2 sin⁡(60) ∑Fy =(6N)(-0.342)+(9N)(866)→∑Fy=5.472 N ∑Fx=ma x→ ∴ax= (∑Fx )/m ax=(10.14 N)/(0.30 Kg) → ax=33.8 m⁄s^2 ∑F y=ma y→ ∴a y= (∑Fy )/ma y=(5.472 N)/(0.30 Kg) → ay=19.4 m⁄s^2 a=⌈a ⃗ ⌉=√(a_x^2+a_y^2 )→ a=√(33.8 m⁄s^2 )^2+(19.4 m⁄s^2 )^2 ) a=38.97 m⁄s^2

A hockey puck having a mass of 0.30 kg slides on the frictionless, horizontal surface of an ice rink. Two hockey sticks strike the puck simultaneously, exerting the forces on the puck shown in the figure. The force F1 has a magnitude of 6.0 N, and the force F2 has a magnitude of 9.0 N. Find the magnitude of the puck's acceleration.

R = 41.16 m H = 6.09 m

A long jumper leaves the ground at an angle of 40.0° above the hori- zontal and at a speed of 17.0 m/s. (A) How far does he jump in the horizontal direction? and What is the maximum height reached?

130 J.

A man cleaning a floor pulls a vacuum cleaner with a force of magnitude F 5 50.0 N at an angle of 30.08 with the horizontal (Fig. 7.5). Calculate the work done by the force on the vacuum cleaner as the vacuum cleaner is displaced 3.00 m to the right.

183.84 J

A man cleaning a floor pulls a vacuum cleaner with a force of magnitude F =60.0 N at an angle of 40.0 with the horizontal . Calculate the work done by the force on the vacuum cleaner as the vacuum cleaner is displaced 4.00 m to the right.

W = FΔr cosΘ= (50.0 N)(3.00 m)( cos 30.0°) = 130 J

A man cleaning a floor pulls a vacuum cleaner with a force of magnitude F=50.0N at an angle of 30.0° with the horizontal (Fig. 7.5). Calculate the work done by the force on the vacuum cleaner as the vacuum cleaner is displaced 3.00 m to the right.

W (ext) = W ( by man ) + W ( by gravity) = 0 W (by man) = - W (by gravity) = - (mg)(L) [cos(u +90)] = mgL sin u = mgh

A man wishes to load a refrigerator onto a truck using a ramp at angle u as shown in Figure 7.14. He claims that less work would be required to load the truck if the length L of the ramp were increased. Is his claim valid?

15 m/s

A motorcycle driver starts driving at 23.4 m / s, and after seeing the traffic in front of him, he decides to slow his speed to a length of 50.2 m with a constant deceleration of 3.20 m / s2. What is his final speed?

20

A particle moves along x axis with velocity according to the equation vx =5t^2+1, where vx is in m/sec and t is in sec. The instantaneous acceleratioin at t=2.00 s in m/sec^2 is about:

mur

A particle moves in the xy plane in a circular path of radius r as shown in figure 11.5 . Find the magnitude and direction of its angular momentum relative to an axis through O when its velocity is v.

[(20+4.0t)i - 15j]

A particle moves in the xy plane, starting from the origin at t 5 0 with an initial velocity having an x component of 20 m/s and a y component of 215 m/s. The particle experiences an acceleration in the x direction, given by ax 5 4.0 m/s2. (A) Determine the total velocity vector at any time.

16J

A particle moving in the xy plane undergoes a displacement given by ^r=(20i+3.0j)m as a constant force F=(5.0i+2.0j)N acts on the particle. Calculate the work done by F on the particle.

40

A particle of mass 2kg moves along x axis with velocity according to the equation vx =5t^2+1, where vx is in m/sec and t is in sec. The force that influenced on the particle at t=2.00s in N is about:

R= 40cm

A particle undergoes three consecutive displacements r1=(15i+30j+12k)cm r2=(23i-14j-5.0k)cm r3=(-13i+15j)cm find unit-vector notation for the resultant displacement and its magnitude .

R= d1 +d2 +d3 (15+ 23 - 13)i cm (30 - 14 +15)j cm +12i - 5.0j+ 0k cm R=40

A particle undergoes three consecutive displacements: d1 (15i +30j +12k) cm, d2 (23i+ 14j + 5.0k) cm, and d3 ( -13i +15j) cm. Find the components of the resultant displacement and its magnitude

12.2 m/s

A puck of mass 0.500 kg is attached to the end of a cord 1.50m kong The pack moves in a horizontal circle as shown in Figure 6.1. If the cord can withstand a maximum tension of 50.0N, what is the maximum speed at which the puck can move before the cord breaks? Assume the string remains horizontal during the motion.

Vx= Xf-Xi/tf-ti = 20m-0/4.0= 5.0m/s xf= xi+vx t = 0+(5.0 m/s)(10 s)=50m

A scientist is studying the biomechanics of the human body. She determines the velocity of an experimental subject while he runs along a straight line at a constant rate. The scientist starts the stopwatch at the moment the runner passes a given point and stops it after the runner has passed another point 20m away. The time interval indicated on the stopwatch is 4.0s What is the runner's velocity?

v=(Lg sinθ tanθ)^1/2

A small ball of mass wis suspended from a string of length L. The ball revolves with constant speed v in a horizontal circle of radius ras shown in Figure 6.3. (Because the string sweeps out the surface of a cone, the system is knowm as a conical pendulum.) Find an expression for e

2N to the right

A student pushes a box to right with a force of 10N while a young boy pushes the box to the left with a force of 8N. What is the total force on the box?

=97.4N

A traffic light weighing 122 N hangs from a cable tied to two other cables fastened to a support , The upper cables make angles of 37.0° and 53.0° with the horizontal. These upper cables are not as strong as the vertical cable and will break if the tension in them exceeds 100 N. Does the traffic light remain hanging in this situation, or will one of the cables break?

You might have seen movies or television shows in which a jet lands on an aircraft carrier and is brought to rest surpris- ingly fast by an arresting cable. A careful reading of the problem reveals that in addition to being given the initial speed of 63 m/s, we also know that the final speed is zero. Because the acceleration of the jet is assumed constant, we model it as a particle under constant acceleration. We define our x axis as the direction of motion of the jet. Notice that we have no information about the change in position of the jet while it is slowing down. (A) What is its acceleration (assumed constant) if it stops in 2.0 s due to an arresting cable that snags the jet and brings it to a stop? (B) If the jet touches down at position xi 5 0, what is its f inal position?

A/ ax= Vxf-Vxi/t = 0-63m/s / 2s = -32m/s^2 B/ xf = xi+1/2(Vxi +Vxf)t=0+1/2(63m/s+0)(2.0)=63m

Component

Is a projection of a vector along an axis.

position

Is the location of the particle with respect to chosen reference point that we can consider to be the origin of a coordinate system

Calculate the energy of an electron per unit eV moving at a speed of 6.2 x 10 ²m / s

KE=110eV

A particle moves along the x axis. Its position varies with time according to the expression x 5 24t 1 2t 2, where x is in meters and t is in seconds.3 The position-time graph for this motion is shown in Figure 2.4a. Because the position of the particle is given by a mathematical function, the motion of the particle is completely known, unlike that of the car in Active Figure 2.1. Notice that the particle moves in the negative x direction for the first second of motion, is momentarily at rest at the moment t 5 1 s, and moves in the positive x direction at times t . 1 s. (A) Determine the displacement of the particle in the time inter vals t 5 0 to t 5 1 s and t 5 1 s to t 5 3 s. (B) Calculate the average velocity during these two time inter vals.

A/Dx =xf-xi A>B=[-4(1)+2(1)^2]-[-4(0)+2(0)^2]=-2m B>D = [-4(3)+2(3)^2]-[-4(1)+2(1)^2]=8m B/Vx,avg(A>B)= Dx/Dt = -2/1= -2m/s

man cleaning a floor pulls a vacuum cleaner with a force of magnitude F 5 50.0 N at an angle of 30.08 with the horizontal Calculate the work done by the force on the vacuum cleaner as the vacuum cleaner is displaced 3.00 m to the right.

130J

Fx= mg sinΘ= max Fy= n - mg cosΘ=0 ax = g SinΘ t= √2d/g SinΘ vxf= √2gd SinΘ

A car of mass m is on an icy driveway inclined at an angle Θ as in Figure 5.11a. Find the acceleration of the car, assum- ing the driveway is frictionless.

31.0 s

A car travelling at a constant speed of 45.0 m/s passes a trooper on a motorcycle hidden behind a billboard. One sec-ond after the speeding car passes the billboard, the trooper sets out from the billboard to catch the car, accelerating at a constant rate of 3.00 m/s2. How long does it take her to overtake the car?

R = 10 square 37

A car travels 30.0 km due north and then 40.0 km in a direction 120.0° west of north. Find the magnitude and direction of the car's resultant displacement.

1.76x10^-5 i N

In a particular crash test, a car of mass 1 500 kg collides with a wall as shown The initial and final velocities of the car are Vi =—15.0i m/s vf= 2.60 i m/s ,respectively. If the collision lasts 0.150 s, find the impulse caused by the collision and the average net force exerted on the car.

U1a=(m1+m2/m1)root2gh

the ballistic pendulum(Fig9.9, page248)is an apparatus used to measure the speed of a fast-moving projectile such as a bullet. A projectile of mass m1 is fired into a large block of wood of mass m2 suspended from some light wires. The projectile embeds in the block, and entire system swings through a height h. How can we determine the speed of the projectile from a measurement of h?

4

to find magnitude of the force on the cart if its mass is 10Kg and its acceleration produced on the cart will be ?

A car travels in a straight line along a road. Its distance x from a stop sign is given as a function of time t by the equation 𝟑𝒕)𝟑𝒔/𝒎𝟖.𝟎(+ 𝟐𝒕)𝟐𝒔/𝒎𝟐.𝟏(= )𝒕(𝒙 Calculate the instantaneous velocity of the car at t = 2 s.

v(t)= dx(t)/dt = d/dt [1.2t^2+0.8t^3] v(t)= 2*1.2t +3 *0.8t^2 v(t)= 2.4t +2.4t^2 v(t=2)=2.4(2)+2.4(2)^2 v(t=2)= 14.4m/s

ac= 5.93*10^-3m/s^2

what is the centripetal acceleration of the earth as it moves in orbit around the sun ?

s the object moves through the 4.0-cm distance, the gravitational force also does work on it. This work is positive because the gravitational force is downward and so is the displacement of the point of application of this force. d the discussion afterward, would we expect the work done by the gravitational force to be 15.4 3 1022 J? Let's find out.

0.21J

A car leaves a stop sign and exhibits a constant acceleration of 0.400 m/s2 parallel to the roadway. The car passes over a rise in the roadway such that the top of the rise is shaped like a cir[1]cle of radius 600 m. At the moment the car is at the top of the rise, its velocity vector is horizontal and has a magnitude of 7.00 m/s. What are the magnitude and direction of the total acceleration vector for the car at this instant?

0.407 m\s^2 and -11.44 degree

An object is performing uniform circular motion with velocity 2m/s in a circular path of radius 4m. Its centripetal acceleration will be

1 m/s^2

wi=v/ri=1.3/2.3x10^-2=57rad/s =(57)(1/2PIrad)(60/1) =5.4x10^2 rev/min wf=v/rf=1.3/5.8x10^-2=22 rad/s=2.1x10^2 rev/min Δθ=θf -θi=1/2(wi+wf)t =1/2(57+22)(4473)=1.8x10^5 Δθ=(1.8x10^5)(1/2PI)=2.8x10^4 rev =wf-wi/t=22-57/4473=-7.6x10^-3 rad/s^2

10.1

n-mfg - mdg -Mg =0 n=mfg+mdg+Mg= (mf +md+M)g (mfg)(d)- mdg)l\2=0 d=(md/mf)l/2 n(d)-(Mg)(d)-(mdg)(d+l/2)=0 (mf+md+M)g(d)-Mg(d)-mdg(d+l/2)=0 (mfg)(d)-(mdg)(l/2)=0 d=(md/mf)l/2

12.1

A=FLi/YΔL A=(940)(10)/20x10^10(0.0050)=9.4x10^-6m^2 d=3.5x10^-3 =3.5mm

12.5

A particle moving in the xy plane undergoes a displacement given by DSr 5 12.0i^ 1 3.0j^2 m as a constant force F=(5 15.0i 1 2.0j2 )N acts on the particle. Calculate the work done by F on the particle.

16J

Calculate the work function for the least energy needed to release electrons from a metal surface if the threshold wave length is 536nm.

2.31eV

VxA=40-5(0)^2= +40 m/s VxB=40 -5(0.2)^2=+20 m/s ax.avg=vxf-vxi/tf-ti =20-40/2.0-0 =-10m/s^2 Vxf=40-5(t-Dt)^2=40-5t^2-10tDt-5Dt^2 DVx=vxf-vxi =-10t.Dt-5(Dt)^2 ax=(-10)(2.0)m/s^2 =20 m/s^2

2.6

-32 m/s2

2.7 A jet lands on an aircraft carrier at a speed of 140 mi/h (< 63 m/s). (A) What is its acceleration (assumed constant) if it stops in 2.0 s due to an arresting cable that snags the jet and brings it to a stop?

vf= 15.6 m/s

A 1 500-kg car traveling east with a speed of 25.0 m/s collides at an intersection with a 2 500-kg truck traveling north at a speed of 20.0 m/s . Find the direction and magnitude of the velocity of the wreckage after the collision, assuming the vehicles stick together after the collision.

200N

A 20Kg bike accelerates at 10 m/s^2, what is the force?

Using Newton's second law: ∑F ⃗ =ma ⃗ a ⃗= (d^2 r ⃗)/(dx^2 )=(dv ⃗/dt) v ⃗=(dr ⃗)/dt=d/dt (5t i ̂ + 3t^2 j ̂ )=(5 i ̂ + 6t j ̂ ) a ⃗=d/dt (5 i ̂ + 6t j ̂ )= 6t j ̂ a(t=2)=6 m/s^2 At (t = 2 s) ∑F=ma=3×6=18 N

A 3.00-kg particle is moving in x-y plane. Its vector position in meters varies in time according to the expression , where t is in seconds. Find the magnitude of the net force acting on this particle at t = 2.00 s.

vf =3.5 m/s

A 6.0-kg block initially at rest is pulled to the right along a frictionless, horizontal surface by a constant horizontal force of 12 N. Find the block's speed after it has moved 3.0 m.

13.4 m/s

A I 500- 00-kg car moving on a flat, horizontal road negotiates a curve as shown in Figure 6.4a. If the radius of the curve is 350 m and the coefficient of static friction between the tires and dry pavement is 0.523, find the maximum speed the car can have and still make the turn successfully.

2

A ball is thrown directly upwnward with an initial speed of 19.6 m/s, After what time interval in second does it reach the highest point ubove the ground

(A)=V2f=3.12m/s v1f=-3.38m/s (B)=-1.74m/s (C)=x=0.173m

A block of mass m1=1.60kg initially moving to the right with a speed of 4.00m/s on a frictionless, hori-zontal track collides with a light spring attached to a second block of mass m2=2.10kg initially moving to the left with a speed of 2.50m/s as shown in Fig-ure 9.10a. The spring constant is 600N/m. (A) Find the velocities of the two blocks after the collision. (B)Determine the velocity of block2 during the collision,at the instant block 1 is moving to the right with a velocity of +3.00m/s as in Figure 9.10b. (C)Determine the distance the spring is compressed at that instant.

(A) 11.2 km/h (B) 8.66 km/h

A boat crossing a wide river moves with a speed of 10.0 km/h relative to the water. The water in the river has a uniform speed of 5.00 km/h due east relative to the Earth. (A) If the boat heads due north, determine the velocity of the boat relative to an observer standing on either bank. (B) If the boat travels with the same speed of 10.0 km/h relative to the river and is to travel due north as shown in Fig- ure 4.21b, what should its heading be?

1Kg

A body under the action of force F = 3i + 4j has an acceleration of 5m/s^2. mass of the body is ?

-13.5

A car leaves stop sign and exhibits a constant acceleration of 0.300 m/s2 parallel to the roadway . the car passes over a rise in the roadway such that the top of the rise is shaped like a circle of radius 500m . At the moment the car is at the top of the rise its velocity vector is horizontal and has a magnitude of 6.00 m/s . what are the magnitude and direction of the total acceleration vector for the car at this instant ?

12m/s^2

A car moving at constant speed of 7.9m/s in horizontal circle of radius 5.0m. the centripetal acceleration of the car is equal to

3.2 m/s

An 1700-kg car stopped at a traffic light is struck from the rear by a 800-kg car. The two cars become entangled, moving along the same path as that of the originally moving car. If the smaller car were moving at 10.0 m/s before the collision, what is the velocity of the entangled cars after the collision?

Sigma Fy = T - f - Mg = 0 T=f+ Mg P=T*v=Tv(f+Mg)v P=[(4000N)+(1800kg)(9.80m//s2)](3.00m/s)=6.49x10^4 W

An elevator car (Fig. 8.14a) has a mass of 1 600 kg and is carrying passengers having a combined mass of 200 kg. A constant friction force of 4 000 N retards its motion. (A) How much power must a motor deliver to lift the elevator car and its passengers at a constant speed of 3.00 m/s?

Consult Active Figure 2.1 to form a mental image of the car and its motion. We model the car as a particle. From the position-time graph given in Active Figure 2.1b, notice that x 5 30 m at t 5 0 s and that x 5 253 m at t 5 50 s. Use Equation 2.1 to find the displacement of the car: Use Equation 2.2 to find the car's average velocity: Use Equation 2.3 to find the car's average speed:

Dx=Xf-Xi = -53-30= -83m Vx,avg= Xf-Xa / Tf-Ta = -53-30/50-0= -1.7m/s Vavg= 127/50= 2.5m/s

3

Find the magnitude of average velocity if the displacement is equal to 18j meters takes place in the time interval is 6s :

0.33 m/s

If a man traveled a total distance of 20 m and took 60 seconds to cover this distance, then the average speed is equal:

1.88 * 10 ^ 5 pa

In a car lift used in a service station, compressed air exerts a force on a small piston that has a circular cross section and a radius of 5.00 cm. This pressure is transmitted by a liquid to a piston that has a radius of 15.0 cm. What force must the compressed air exert to lift a car weighing 13 300 N? What air pressure produces this force?

A car travels 20.0 km due north and then 35.0 km in a direction 60.0° west of north as shown in Fig- y (km) y (km) ure 3.11a. Find the magnitude and direction of N the car's resultant displacement.

R = √A^2+B^2-2AB cos θ R=√(20)^2+(35)^2-2(20)(35)cos120 = 48.2km sin B/ B =sinθ/R Sin B = B/R sin θ = 35/48.2 sin 120 = 0.629 B=38.9

A long jumper leaves the ground at an angle of 30.0° above the horizontal and at a speed of 10.0 m/s. - How far does he jump in the horizontal direction?

R= vi^2sin(2øi)/g R= 10^2*sin(2*30) R= 8.8m

Avoid a clothes basket of mass (50) at a constant speed in a passage with a rope by making an angle of (20) with the horizontal. If the force of friction is (83) Newtons, find the pulling force of the rope.

T=33/cos20=33/0.939=35.11N

r= square 13 tan ( thita ) = 0.012 Thita = 33.7

The Cartesian coordinates of a point in the xy plane are (x, y) - (3, 2) m . Find the polar coordinates of this point.

r = 4.30m tanΘ= 0.714 Θ= 216°

The Cartesian coordinates of a point in the xy plane are (x, y) = (-3.50, -2.50) m as shown in Active Figure 3.3. Find the polar coordinates of this point.

39.283

The Cartesian coordinates of a point in the xy plane are (x, y) = (-5.50, -4.50) m . Find the polar coordinates of this point.

projectile motion

The form of two-dimensional motion we will deal with is called?

A + B = 4i + 13j

The vectors A and B are given by A = 7i + 9j and B = -3i + 4j Determine the scalar addition A + B ?

(A)=4 (B)=60.3ْ

The vectors A and B are given by A=2i+3j and B=-i+2j (A)Determine the scalar product A*B. (B)Find the angle theta between A and B.

(A) ax,avg = 10 m/s^2 (B) ax = -20 m/s2

The velocity of a particle moving along the x axis varies according to the expression vx 5 40 2 5t2, where vx seconds. (A) Find the average acceleration in the time interval t 5 0 to t 5 2.0 s. (B) Determine the acceleration at t 5 2.0 s.

AxB=7k BxA=-7k

Two vectors lying in the xy plane are given by the equations A=2i+3j and B=-i+2j. Find AxB and verify that AxB= -B x A.

If the water insulation constant is 1.77, what is the velocity of light in the water?

V=2.25×10⁸

Vyf^2 = Vyi^2 + 2 x ay × (Yf-Yi) Vyf=√Vyi^2 + 2 x ay × (Yf-Yi) Vyf= √(15)^2 + 2 x (-9.8) × 5 Vyf=11.27m/s ay= -g =-9.8 m/s^2

You are throwing a stone vertically upward with a speed of 15.0 m/s from the roof of a 30.0 m tall building. (a) Calculate the stone velocity when it is 5.00 m above the roof. (b) What is the acceleration when it is at its maximum height.

Three horizontal forces act on an object of mass 3Kg if you know that the object has moved in the direction of the dashed line between that. Theta equals 30, then find the pass of the acceleration with which the body is moving

a=164m/s²

204.2

consider the two displacement vectors A=20i-7j and B=17.5i+24j.The direction of A+B will be

-3i-j+5k

given two vectors A=2i+3k and B=5i+j-2k,A-B will be :

A long jumper leaves the ground at an angle of 30.0° above the horizontal and at a speed of 10.0 m/s. What is the maximum height reached?

h=vi^2sin^2(øi)/2g h= 10^2sin^2(30)/2*9.8 h= 1.3m

Unit vecror

is a dimensionless vector with a magnitude of exactly 1.

14.93 m

long jumper leaves the ground at an angle of 30.0° above the hori- zontal and at a speed of 13.0 m/s. How far does he jump in the horizontal direction?