A 10 g rifle bullet is fired onto a 2 kg block of wood hanging at rest from a string attached to the ceiling. The bullet embeds onto the wood which is observed to rise a maximum height of 0.25 m. The initial velocity of the bullet is about

In the "before" part of the figure, car A (mass 1200 kg) is stopped at a traffic light when it is rear-ended by car B (mass 1300 kg). Both cars then slide with locked wheels until the frictional force from the slick road (with a low μk of 0.20) stops them, at distances då = 7.9 m and dB = 6.2 m. What are the speeds of (a) car A and (b) car B at the start of the sliding, just after the collision? (c) Assuming that linear momentum is conserved during the collision, find the speed of car B just before the collision. Before After (a) Number Units (b) Number Units (c) Number Units B B

A cannon of mass 6.79 x 103 kg is rigidly bolted to the earth so it can recoil only by a negligible amount. The cannon fires a 85.6-kg shell horizontally with an initial velocity of 508 m/s. Suppose the cannon is then unbolted from the earth, and no external force hinders its recoil. What would be the velocity of a shell fired from this loose cannon? (Hint: In both cases assume that the burning gunpowder imparts the same kinetic energy to the system.)

Two masses hang next to each other from a support. Each mass has a pendulum length R = 30 cm. Object A is raised to a 66 degree angle with respect to vertical and allowed to fall as a pendulum, eventually colliding elastically with object B. Let object A have a mass ma=45g and object B have mass mb=65g. For all answers, work symbolically and then plug in numbers at the end. (a) What is the velocity of the object A before the collision? (Ignore the physical size of A and B, that is, assume y = 0 for both during the collision) (b) What quantities are conserved during the collision? (c) What are the maximum heights of each object after the collision?

Two objects of masses m1 = 0.40 kg and m2 0.90 kg are placed on a horizontal frictionless surface and a compressed spring of force constant k = 300 N/m is placed between them as in figure (a). Neglect the mass of the spring. The spring is not attached to either object and is compressed a distance of 9.6 cm. If the objects are released from rest, find the final velocity of each object as shown in figure (b). (Let the positive direction be to the right. Indicate the direction with the sign of your answer.) -2.0149 Your response is within 10% of the correct value. This may be due to roundoff error, or you V1 = could have a mistake in your calculation. Carry out all intermediate results to at least four- digit accuracy to minimize roundoff error. m/s -.896 V2 The response you submitted has the wrong sign. m/s m2 a m -WWWWW m2 b Need Help? Read It

The force of that particle 2 exerts on 1 is given by: F→21(t)=Fxe^−(t/T)ı^+Fysin⁡(2πt/T)ȷ^ Where the parameters have the values: Fx=−16.1 N, Fy=101 N, T=67 s.We will consider a time interval that begins at ti=0 s and ends at tf=321 s. the mass of particle 1 is 13.9 kg and its intial velocities are 54 m/s I^ + (-42 m/s)J^. What is the x and y displacement for particle 1?

A block having a mass of 1.0 kg is given an initial velocity v= 6 m/s to the right and collides with a spring whose mass is negligible and whose force constant is k =100 N/m . Assuming the surface to be frictionless, e the maximum compression of the spring after the collision m 6 m 5 m None

A 3.45 kg black ball traveling 4 m/s has a head on collision with a white one at rest. Using the velocities shown, calculate the mass of the white ball, Ignore friction and air resistance. 0 m/s 4 m/s 1.4 m/s 5.7 m/s

You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. Your own body mass is 50.1 kg. You pick up an object and drop it from rest, starting at a height of 1.97 meters above the floor, and it hits the floor 0.380 seconds later. You can ignore air resistance. Based on the outcome of this experiment, when you step on the scale provided for you, what weight will it register for your body?     684 N     911 N     1,367 N     491.5 N

A basketball (m=0.625 kg) and a baseball (m=145g) are dropped from a height of 2.5 m.  For simplicity, assume the basketball and the baseball fall the full height and collide at ground level and that the coefficient of restitution between the floor and the basketball is 0.85.  (The coefficient of restitution represents the ratio between the velocity just before collision and the velocity just after collision, the up bounce.)  Determine the velocity of the baseball after its collision with the basketball.  Assume a perfectly elastic collision between the baseball and the basketball an upward=positive sign convention and g = 10 N/kg.