A 1.35-kg block of wood sits at the edge of a table, 0.782 m abovethe floor. A 0.0105-kg bullet moving horizontally with a speed of715 m>s embeds itself within the block. What horizontal distancedoes the block cover before hitting the ground?

One hazard of space travel is debris left by previous missions. There are several thousand objects orbiting Earth that are large enough to be detected by radar, but there are far greater numbers of very small objects, such as flakes of paint. Calculate the force exerted by a 0.100 mg chip of paint that strikes a spacecraft window at a relative speed of 4.00 × 10³ m/s, given the collision lasts 6.00 x 10-8 s.

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 72.9 x 105 kg, of which 14.7 x 10° kg is fuel. The rocket engine is then fired for 300 s, during which fuel is consumed at the rate of 360 kg/s. The speed of the exhaust products relative to the rocket is 3.82 km/s. (a) What is the rocket's thrust? After the 300 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number Units (c) Number i Units

The Merlin rocket engines developed by SpaceX can produce 7.12 ✕ 105 N of instantaneous thrust with an exhaust speed of 3.05 ✕ 103 m/s in vacuum. What mass of fuel does the engine burn each second to produce this thrust? (Enter your answer in kg/s.)

The mass of a particular skateboard plus its rider is m, = 76.6 kg, and the skateboarder is holding a book with mass mo = 3.27 kg. Initially atrest, the skateboarder tosses the textbook with a velocity of vb = 4.44 m/s at an angle 0 = 23.3° above the horizontal, and the book is caught by a friend.

The Merlin rocket engines developed by SpaceX can produce 7.44 x 105 N of instantaneous thrust with exhaust speed of 3.05 x 10³ m/s in vacuum. What mass of fuel does the engine burn each second to produce this thrust? (Enter your answer in kg/s.) HINT kg/s

If a rocket engine ejects gases at a rate of 29 kg/s, how fast must the gaseous exhaust be moving if the thrust produced is sufficient to allow a 2.7 x 105 kg rocket to rise slowly from the earth when aimed straight up? Express your answer in km/s.

An open train car, with a mass of 2050 kg, coasts along a horizontal track at the speed 2.792.79 m/s. The car passes under a loading chute and, as it does so, gravel falls vertically into it for 2.792.79 s at the rate of 475 kg/s. What is the car's speed vf after the loading is completed? Ignore rolling friction.

Problem 14: Suppose a space probe of mass m1 4200 kg expels m, = 3300 kg of its mass at a constant rate with an exhaust speed of Vex = 2.15 x 10° m/s. art (a) What is the increase in speed, of the space probe, in terms of the variables given in the introduction? You may assume the g is negligible at the probe's location. Gra Dec Pote m1 m1 - m2 Av = Vex In Av = ver In + vo Av = ver In + vo mị – m2 m1 m2 Sub Atte (20 mi m2 m2 m1 deta Δυ Av = Ver In Av = Vex Vez In Au = Ver In mi m1 m1 - m2 Submit Hint Feedback I give up! Part (b) Calculate the increase in speed, in meters per second, of the space probe.

A 28-g bullet moving horizontally strikes and remains in a 2.6-kg block initially at rest on the edge of a table. The block, which is initially 88 cm above the floor, strikes the floor a horizontal distance of 113 cm from its initial position. What was the initial speed of the bullet?