A cannon is rigidly attached to a carriage, which can move along horizontal rails, but is connected to a post by a large spring, initially unstretched and with force constant k = 2.00 x 104 N/m, as in Figure P6.67. The cannon fires a 200-kg projectile at a velocity of 125 m/s directed 45.0° above the horizontal. (a) If the mass of the cannon and its carriage is 5 000 kg, find the recoil speed of the cannon. (b) Determine the maximum extension of the spring. (c) Find the maximum force the spring exerts on  the carriage. (d) Consider the system consisting of the cannon, the carriage, and the shell. Is the momentum of this system conserved during the firing? Why or why not?FIGURE P6.67

Q: A stationary ball of mass 0.4 kg is kicked so that the kicker's foot departs at 5 m/s in a direction…

A:

Q: a. The boost rocket, m=12 Mg, generates an altitude dependent thrust of T(y)=By? where B=1.4 and…

A: Given information: The mass of the rocket (m) = 12 Mg = 12×106 g = 12×103 kg The initial velocity of…

Q: A father (mF = 90 kg) and his daughter (mD= 42 kg) stand on a flat frozen lake of negligible…

A: Given data: Mass of father (mf ) = 90 kg Mass of daughter (md ) = 42 kg In the given problem,  there…

Q: A skateboarder lets himself fall from the top of an 8.00 m ramp to go up the second one of 2.50 m.…

A: (a) Given: The top of the first ramp is at a height of 8 m. The top of the second ramp is at a…

Q: A tennis ball of mass 0.0621 kg is served. It strikes the ground with a velocity of 54.0 m/s (120…

A: Mass, m = 0.0621 kg  Velocity, v = 54 m/s Δt=0.0630 s  Δvx=53cos18ᵒ-54cos(-22ᵒ)…

Q: A 23.0-kg cannonball is fired from a cannon with muzzle speed of 1 150 m/s at an angle of 36.0° with…

A: Mass of ball= 23 KgFired angle for first case = 36 °Fired angle for 2nd ball = 90°.Initial speed of…

Q: what is the magnitude of the vertical acceleration of Ariane 5, in ?/?^2. Consider ?=9.8 ?/?^2…

A: During takeoff, the two-facet tank and critical tank exert a pressure at the earth, By newton's…

Q: Two forces, F, (5.80l + 3.955) N and F,- (3.90i + 7.65j) N, act on a particle of mass 1.90 kg that…

A:

Q: Shown in the figure below is a block and track system. All locations indicated by solid black lines…

A:

Q: find the ratio of the final kinetic energies of the bullet and rifle.

A: Given: Mass of rifle is m=3 kg Mass of first bullet is m1=5 g Speed of bullet is v1=300 m/s Mass of…

Q: A 5.08×104 kgkg railroad car moves on frictionless horizontal rails until it hits a horizontal…

A: Given Mass of the car m = 5.08 x 104 kg Spring constant k = 4.09 x 105 N/m Compression x = 30 cm =…

Q: A ball having mass 3.2kg and velocity 9.4m/s travels due east. An impulsive force at point O, makes…

A: Given,

Q: An object with mass m1 = 1kg moving to the right at a speed of 4m / s collides with a spring…

A: m1 = 1 kg ,m2 = 2 kg , v1 = 4 m/s , v2 = - 2 m/s , v1f = 3 m/s Force constant , k = 105 N /m To find…

Q: The mass of particle 1 is 11kg. The initial velocity for particle 1 is  (-104m/s)i + (216m/s)j. F21…

A: Given informationF21=Fxe-tTi+Fysin(2πtT)j                  (1)where Fx=16.8 NFy=-106 NT=100sprocess…

Q: You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors…

A: Given data:  Mass (m) = 77.9 kg Initial velocity (Vi) = 0 m/s Height (h) = 1.79 m Time (t) = 0.302 s…

Q: Part B Find the maximum height that the block reaches if the incline is 20.3 °. All surfaces are…

A:

Q: A 60 g bullet with an initial speed of 700 m/s is fired parallel to a ramp at an angle 20° into a…

A:

Q: Two masses are connected by a string as shown in the figure below. Mass m1=3.7 kg rests on a…

A: The free-body diagram of the mass on the inclined plane is shown below. Now, apply Newton's second…

Q: A spring that has negligible mass and a spring constant of k = 900 N/m, is attached to a table, so…

A: We are given the initial compression in the spring. We are also given the spring constant. When the…

Q: Two bumper cars at the county fair are sliding toward one another (see figure below). Initially,…

A: Using formula: ki=kfvf=((m1-m2)/(m1+m2))(vim1)+((2m2)/(m1+m2)) Vim2 x and y velocity of bumper car 2…

Q: In an experiment, two students use a launcher to launch a metal ball vertically upward into the air.…

A: Given: Force exerted by launcher F = 80 N Distance for which force is exerted d = 0.4 m. Mass of the…

Q: A 8.7-kg cat moves from rest at the origin to hunk of cheese located 9.5 m along the x-axis while…

A:

Q: A 17.0-kg cannonball is fired from a cannon with muzzle speed of 950 m/s at an angle of 40.0° with…

A: Mass of each object is Initial speed of both objects is Launch angle for object 1 is Launch angle…

Q: In a ski competition, skiers first slide down a slope of 10 degrees and then encounter a horizontal…

A:

Q: A 30 gram bullet moving horizontally with a velocity of 450 m/s gets imbedded in a 10 kg block…

A: Given data:  Mass of bullet (m) = 30 g = 0.030 kg Velocity of bullet (v) = 450 m/s Mass of block…

Q: A mass M1 (of 2.5 kg) slides without friction on a table at a speed of 5 m/sec towards a mass M2 of…

A: M1 = 2.5 kg v = 5 m/s M2 = 5 kg k = 100 N/m

Q: On a flat, frictionless table, two blocks (B1 of mass 2.00 kg and B2 of mass 3.00 kg) are pressed…

A: The mass of the block B1, The mass of block B2, The elastic potential energy of the spring,

Q: Two forces, F1 = (6.10î + 4.30ĵ) N and F2 = (3.40î + 7.65ĵ) N, act on a particle of mass 2.20 kg…

A: Given F1 = (6.10î + 4.30ĵ) N  F2 = (3.40î + 7.65ĵ) N m=2.20kg P(+2.05 m, −4.50 m)

Q: A light spring of force constant 4.00 N/m is compressed by 8.00 cm and held between a 0.250 kg block…

A:

Q: what is the speed as it leaves her foot traveling in the opposite direction?

A: According to Newton's Second law of motion , we can write that…

Q: A ball of mass 160 g is dropped from a height 1.5 m and bounces off the floor with a velocity 3.0…

A: Mass of ball is Initial height is Velocity of ball after bouncing from the floor is in upward…

Q: A 4.00kg mass is initially moving with a velocity 5.16 (m/s)i on a horizontal plane. The coefficient…

A:

Q: Mark is watching a golf match on the television. The player hit the golf ball with a mass of 0.05 kg…

A:

Q: A golf club strikes a 0.062-kg golf ball in order to launch it from the tee. For simplicity, assume…

A: Suppose a golf club hits a ball having mass m with the force F and the golf club is in contact with…

Q: A curved incline is used to give a box a certain velocity as it slides down. The box has a mass of…

A:

Q: A bullet of mass 52 grams is fired horizontally into a 5.2 kg wooden block on a horizontal surface.…

A:

Q: You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors…

A:

Q: Two forces, F, = (-5.80î – 3.95j) N and F, = (-3.70î – 5.95j) N, act on a particle of mass 2.30 kg…

A:

Q: weighing 120 pounds strikes the concrete wall of a fort in a velocity of 1500ft/s. the projectile…

A: Given mass m = 120 pound = 120 ×0.453 = 54.36 kg  Initial velocity = 1500 ft/s = 1500 × 0.3 = 450…

Q: After the box in the figure has moved 3 meters from rest, the constant force P = 600 N is removed.…

A: Given Horizontal force = 600 N Coefficient of friction u = 0.2 Displacement S = 3 m

Q: A firefighter directs a horizontal stream of water toward a fire at an angle of 40° measured from…

A:

Q: You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors…

A: