A tennis ball of mass 57.0 g is held just above a basketball of mass 597 g. With their centers vertically aligned, both bals are released from rest at the same time, to fall through a distance of 1.30 m, as shown in the figure below. (a) Find the magnitude of the downward velocity with which the basketball reaches the ground. m/s (b) Assume that an elastic collision with the ground instantaneously reverses the velocity of the basketball while the tennis ball is still moving down. Nect, the two balls meet in an elastic collision. To what height does the tennis ball rebound?
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- A woodblock of mass Mw = 200 g is projected from the ground at a speed v0 = 35 m/s and at an angle, θ0 = 50º. When at height h = 24 m the woodblock was hit by a bullet of mass Mb = 25 g which was moving at vb = 220 m/s and at an angle θb = 70º. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has a coefficient of kinetic friction µk = 0.5 and starts to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3×10^2 N/m. The right end of the spring is fixed, and all motions are confined in x-y plane. (a) Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. (b) Find the maximum height from the ground the block with the bullet reached. (c) How far is point A from the launch point of the woodblock? (d) Calculate the velocity at which the block-bullet system lands at point A. What…You have just planted a sturdy 2-m-tall palm tree in your front lawn for your mother’s birthday. Your brother kicks a 500g ball, which hits the top of the tree at a speed of 5 m/s and stays in contact with it for 10 ms. The ball falls to the ground near the base of the tree and the recoil of the tree is minimal. (a) What is the force on the tree? (b) The length of the sturdy section of the root is only 20 cm. Furthermore, the soil around the roots is loose and we can assume that an effective force is applied at the tip of the 20 cm length. What is the effective force exerted by the end of the tip of the root to keep the tree from toppling? Assume the tree will be uprooted rather than bend. (c) What could you have done to ensure that the tree does not uproot easily?a 4.0 kg particle is moving horizontally with a speed of 5.0 m/s when it strikes a vehicle wall. The particle rebounds with the speed of 3.0 m/s . what is the magnitude of the impulse deliveed to the particle.
- The figure shows a 0.3 kg baseball just before and just after it collides with a bat. Just before, the ball has velocity v₁ of magnitude 10.9 m/s and angle 0₁ = 30.9°. Just after, it is traveling directly upward with velocity 2 of magnitude 8.80 m/s. The duration of the collision is 1.30 ms. What are the (a) magnitude and (b) direction (relative to the positive direction of the x axis) of the impulse on the ball from the bat? What are the (c) magnitude and (d) direction of the average force on the ball from the bat?A steel ball of mass 0.440 kg is fastened to a cord that is 80.0 cm long and fixed at the far end. The ball is then released when the cord is horizontal, as shown in the figure. At the bottom of its path, the ball strikes a 3.10 kg steel block initially at rest on a frictionless surface. The collision is elastic. Find (a) the speed of the ball and (b) the speed of the block, both just after the collision. (a) Number i (b) Number Unit UnitA bullet of mass m = 8.00 g is fired into a block of mass M = 240 a 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 = 1.50 m from the bottom of the table. Determine the initial speed of the bullet. Use the given information to find the velocity of the block after collision with the bullet and then use conservation of momentum to find the initial speed of the bullet. m/s Need Help? Read It Master It Submit Answer
- A cue ball traveling at 6.57 m/s makes a glancing, elastic collision with a target ball of equal mass that is initially at rest. The cue ball is deflected so that it makes an angle of 30.0° with its original direction of travel. (a) Find the angle between the velocity vectors of the two balls after the collision. (b) Find the speed of each ball after the collision.A block is released from rest at the top of the frictionless ramp shown in the figure. Mass 1 is 1.53 kg and it is released from a height of 1.01 m above the table. The block collides elastically with block 2, initially at rest. Mass 2 is 4.14 kg. How far from the base of the table does mass 1 eventually land if the table has a height of 2.54 m? (Take the initial direction of block one as positive.)A cart with mass 330 g moving on a frictionless linear air track at an initial speed of 1.8 m/s undergoes an elastic collision with an initially stationary cart of unknown mass. After the collision, the first cart continues in its original direction at 1.1 m/s. (a) What is the mass of the second cart? (b) What is its speed after impact? (c) What is the speed of the two-cart center of mass?
- A wood block of mass mw = 200 g is projected from the ground at a speed vo = 35 m/s and at an angle 60 = 50°. When at height h = 24 m the wood block was hit by a bullet of mass mb = 25 g which was moving at vh= 220 m/s and at an angle On = 70°. After the collision, the bullet embedded itself in the block and move together and land at point A on the ground. Then they move on the ground that has coefficient of kinetic friction uk = 0.5 and start to compress a horizontal spring at point B. The distance between point A and B is 18 m and the spring constant k = 3x102 N/m. Right end of the spring is fixed, and all motions are confined in x-y plane. %3D Wood block + Bullet Bullet Wood A B block (a) Was the collision between the wood block and the bullet elastic or inelastic? Explain quantitively. (b) Find the maximum height from the ground the block with the bullet reached. (c) How far is point A from the launch point of the wood block? ofA sliotar of mass 115 g moves horizontally with an initial velocity of 38.0 m/s as it approaches a hurley. The hurley applies an average force to the sliotar so that it departs from the hurley travelling at 58.0 m/s in the opposite direction. The duration of the impact between the sliotar and hurley is 12.1 ms. Find (a) the impulse imparted to the sliotar by the hurley, and (b) the average force exerted on the sliotar by the hurley.A bullet of mass m = 8.00 g is fired into a block of mass M = 250 g that is initially at rest at the edge of a frictionless table of height h = 1.00 m (as shown). The bullet remains in the block, and after the impact the block lands d = 2.00 m from the bottom of the table. Determine the initial speed of the bullet.