A spaceship with a mass of 1000.0 kg is traveling through deep space with a velocity of (693.03,0) m/s. Two rocket engines fire in sequence (assume the mass of the ejected fuel is negligible). The first rocket provides a thrust of (1200.0t²,0) for 10.0 sec. The second engine provides a thrust of (0, 9859.51sin(31.65t)) for /31.65 secohds. What is the magnitude of the velocity of the spaceship after the second rocket fires. (1618) A) O1093.03 m/s B) O1258.66 m/s C) O1093.21 m/s D) 0468.92 m/s E) O741.29 m/s

What is the acceleration of a 5000 kg rocket taking off from the Moon, where the acceleration due to gravity is only 1.6 m/s^2 if the rocket expels 8.00 kg of propellant per second at an exhaust velocity of 2.20 × 10^3 m/s?

A 0.330-kg volleyball is thrown vertically downward with a speed of 0.150 m/s in a place where g = 9.81 m/s2. It takes it 0.0655 s to reach the ground. What is the magnitude of its momentum just before it hits the ground?

A 5427.28 kg open train car is rolling on frictionless rails at 25.15 m/s when it starts pouring rain. A few minutes later, the car's speed is 15.38 m/s. What mass of water has collected in the car?

In Figure (1), a 3.50 g bullet is fired horizontally at two blocks at rest on a frictionless table. The bullet passes through block 1 (mass 1.11 kg) and embeds itself in block 2 (mass 1.62 kg). The blocks end up with speeds v₁ = 0.600 m/s and v₂ = 1.50 m/s (see Figure (2)). Neglecting the material removed from block 1 by the bullet, find the speed of the bullet as it (a) leaves and (b) enters block 1. Frictionless (a) Number (b) Number Units Units (1) (2)

Brad (mass 75.0 kg) and Janet (mass 60.0 kg) are doing a pairs figure skating routine on ice. Brad is moving at 5.63 m/s to the east, and Janet is moving at 7.20 m/s to the north. The two skaters meet up and join hands, skating together afterward. What is the pair's velocity after they join hands? 4.47 m/s, 45.7° north of east 2. 5.08 m/s, 42.9° north of east 3. 3.52 m/s, 36.8° north of east 4 6.37 m/s, 52.6° north of east

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 86.2 × 105 kg, of which 14.7 × 105 kg is fuel. The rocket engine is then fired for 180 s, during which fuel is consumed at the rate of 480 kg/s. The speed of the exhaust products relative to the rocket is 2.98 km/s. (a) What is the rocket's thrust? After the 180 s firing, what are (b) the mass and (c) the speed of the rocket?

A rocket, which is in deep space and initially at rest relative to an inertial reference frame, has a mass of 75.8 x 105 kg, of which 15.3 × 105 kg is fuel. The rocket engine is then fired for 410 s, during which fuel is consumed at the rate of 390 kg/s. The speed of the exhaust products relative to the rocket is 2.81 km/s. (a) What is the rocket's thrust? After the 410 s firing, what are (b) the mass and (c) the speed of the rocket? (a) Number i Units (b) Number i Units (c) Number i Units

A missile of mass 1.05 102 kg is fired from a plane of mass 5.20 103 kg initially moving at a speed of 2.50 102 m/s. If the speed of the missile relative to the plane is 1.11 103 m/s, what is the final velocity of the plane?

Two people, each with a mass of 85.00 kg, are paddling their canoe downstream with a speed of 1.520 m/s relative to the water, in a river that flows with a speed of 2.790 m/s with respect to the shore. What is the magnitude of the total momentum of the people, in kg⋅m/s, with respect to the shore?