In the figure, a 10.0 gram bullet is fired into a 1.0 kg wood-block which is part of the shown ballistic pendulum apparatus. It swings to a vertical height of h = 0.50 m. What is the initial speed of the bullet (in m/s)? Use g = 9.81 m/s^2

A baseball has a mass of 0.140 kg, and it is pitched towards home plate at a speed of 48.0 m/s. Assume that the ball is pitched horizontally and that the ball is hit horizontally back in the opposite direction. If the bat exerts an average force of 9100 N for 2.80 ms, what is the final speed of the ball in m/s?

James decides to use a ball tied to stiff rod to take out the Road Runner. He first needs to test this idea out on a small scale. A steel ball of mass 0.500 kg is fastened to a cord that is 70.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal (see figure below). At the bottom of its path, the ball strikes a 2.50 kg steel block initially at rest on a frictionless surface. The collision is elastic. a)  Find speed of the ball just before impact. b)  Find the speed of the block just after impact.

A 2.76-kg steel ball strikes a massive wall at 10.0 m/s at an angle of θ = 60.0° with the plane of the wall. It bounces off the wall with the same speed and angle (see the figure below). If the ball is in contact with the wall for 0.176 s, what is the average force exerted by the wall on the ball?

A bullet of mass m = 8.00 g is fired into a block of mass M = 210 g that is initially at rest at the edge of a table of height h = 1.00 m (see figure below). The bullet remains in the block, and after the impact the block lands d = 2.30 m from the bottom of the table. Determine the initial speed of the bullet. _______________m/s

A 1.90 g bullet, traveling at a speed of 423 m/s, strikes the wooden block of a ballistic pendulum. The block has a mass of 228 g.   (a) Find the speed of the bullet/block combination immediately after the collision.m/s(b) How high does the combination rise above its initial position?m

A gun fires a 21-gram bullet on a 1.8 kg wooden block hanging vertically at the end of string (The other end of the string is attached to a ceiling). The bullet embeds in the block, which swings upward a height of H. The speed of the bullet when leaving the gun is 250 m/s. Find H.

Hello, can you also please include the formula that you used to solve this problem? Thank you!

7. A 730-N man stands in the center of a frozen pond of radius 5.00-m. There is no friction between the man's shoes and the ice, preventing him from walking off of the pond. The man then picks up a 1.20-kg rock lying beside him and throws it horizontally at a speed of 5.00-m/s. How long does it take the man to reach the edge of the pond? Answer: 61.7 s

Review. A student performs a ballistic pendulum experiment using an apparatus similar to that discussed in Example 9.6 and shown in Figure P9.36. She obtains the following average data: h = 8.68 cm, projectile mass m1 = 68.8 g, and pendulum mass m2 = 263 g. (a) Determine the initial speed v1A of the projectile. (b) The second part of her experiment is to obtain v1A by firing the same projectile horizontally (with the pendulum removed from the path) and measuring its final horizontal position x and distance of fall y (Fig. P9.43). What numerical value does she obtain for v1A based on her measured values of x = 257 cm and y = 85.3 cm? (c) What factors might account for the difference in this value compared with that obtained in part (a)?