A 1.10-kg object slides to the right on a surface having a coefficient of kinetic friction 0.250 (Figure a). The object has a speed of v₁ = 2.60 m/s when it makes contact with a light spring (Figure b) that has a force constant of 50.0 N/m. The object comes to rest after the spring has been compressed a distance d (Figure c). The object is then forced toward the left by the spring (Figure d) and continues to move in that direction beyond the spring's unstretched position. Finally, the object comes to rest a distance D to the left of the unstretched spring (Figure e). a b d e m = 0 k (a) Find the distance of compression d (in m). m (b) Find the speed v (in m/s) at the unstretched position when the object is moving to the left (Figure d). m/s

A horizontal spring with spring constant 230 N/m is compressed by 10 cm and then used to launch a 200 g box across the floor. The coefficient of kinetic friction between the box and the floor is 0.23. a.) What is the box's launch speed? vf=

A force in the +x-direction with magnitude F(x) = (8.0 N - 10.530 N/m)x is applied to a 6.00 kg box that is sitting on the horizontal, frictionless surface of a frozen lake. F1x2 is the only horizontal force on the box. If the box is initially at rest at x = 0, what is its speed after it has traveled 14.0 m?

A block of mass m=6.23 kg is attached to a spring that is resting on a horizontal, frictionless table. The block is pushed into the spring, compressing it by 5.00 m, and is then released from rest. The spring begins to push the block back toward the equilibrium position at x=0 m. The graph shows the component of the force (in newtons) exerted by the spring on the block versus the position of the block (in meters) relative to equilibrium. Use the graph to answer the questions.   What is the maximum speed v-max of the block?

A 7.00 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.900 m by a large spring bumper at the end of its track. What is the force constant k of the spring (in N/m)?

Assume that the force of a bow on an arrow behaves like the spring force. In aiming the arrow, an archer pulls the bow back 48 cm and holds it in position with a force of 163 N. If the mass of the arrow is 51 g and the "spring" is massless, what is the speed of the arrow immediately after it leaves the bow? v=v=  m/s A boy throws a ball of mass 0.2 kg straight upward with an initial speed of 22 m/s When the ball returns to the boy, its speed is 17 m/s How much work does air resistance do on the ball during its flight? W=W= J (give the absolute value, rounded to one decimal place)

A 6.50 ✕ 105 kg subway train is brought to a stop from a speed of 0.500 m/s in 0.800 m by a large spring bumper at the end of its track. What is the force constant k of the spring?N/m

What If? If the object becomes attached securely to the end of the spring when it makes contact, what is the new value of the distance D (in m) at which the object will come to rest after moving to the left?

A man pushing a crate of mass m = 92.0 kg at a speed of v = 0.860 m/s encounters a rough horizontal surface of length ℓ = 0.65 m as in the figure below. If the coefficient of kinetic friction between the crate and rough surface is 0.350 and he exerts a constant horizontal force of 291 N on the crate (a) Find the magnitude and direction of the net force on the crate while it is on the rough surface.magnitude_____N direction (b) Find the net work done on the crate while it is on the rough surface.  _____J(c) Find the speed of the crate when it reaches the end of the rough surface. ______m/s

Consider the track shown in the figure below.   Section AB is a quadrant of a circle of radius r = 2.00 m and is frictionless. From B to C is a horizontal section 3.0 m long with a coefficient of kinetic friction μk = 0.250.  The section CD under the spring is frictionless.   A block of mass m = 1.00 kg is released from rest at A. After sliding on the track, the block compresses 0.200 m the spring. Determine (using conservation of energy): (a) the speed of the block at point B.  (b) the thermal energy (internal energy) produced when the block slips from B to C.  (c) the velocity of the block at point C. (d) the stiffness constant k for the spring.