Rocket Problems Answers

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Presentation transcript:

Rocket Problems Answers 1. A 1000-kg rocket is on a launch pad. (a) What is the weight of the rocket? Wt. = m g = ( 1000 kg )( 9.8 m/s2 ) Wt. = 9800 N m = 1000 kg Wt. = 9800 N

1. A 1000-kg rocket is on a launch pad. (b) How much thrusting force from the engines is necessary for the rocket to simply hover above the pad? FA = ? To hover, FA must match the weight so FA = 9800 N m = 1000 kg Wt. = 9800 N

1. A 1000-kg rocket is on a launch pad. (c) How much additional force is necessary to accelerate the rocket upwards at 7.5 m/s2 ? FA = ? Fnet = m a a = 7.5 m/s2 = ( 1000 kg )( 7.5 m/s2 ) Fnet Fnet = 7500 N m = 1000 kg Wt. = 9800 N

1. A 1000-kg rocket is on a launch pad. (d) How much total force is exerted by the engines? FA = ? Fnet = FA + Wt. a = 7.5 m/s2 +7500 = FA + ( - 9800 ) Fnet = + 7500 N + 9800 + 9800 m = 1000 kg FA = + 17 300 N Wt. = - 9800 N

2. A rocket of mass 750 kg has engines that exert a total thrusting force of 2.0 x 104 N. (a) How much force from the engines must be used to overcome the weight of the rocket? FA = 20 000 N Wt. = m g = ( 750 kg )( 9.8 m/s2 ) Wt. = 7350 N m = 750 kg so FA = 7350 N Wt. = 7350 N

2. A rocket of mass 750 kg has engines that exert a total thrusting force of 2.0 x 104 N. (b) What is the net upward force on the rocket? FA = + 20 000 N Fnet = FA + Wt. Fnet = ( + 20 000 ) + ( - 7350 ) Fnet Fnet = + 12 650 N m = 750 kg Wt. = - 7350 N

2. A rocket of mass 750 kg has engines that exert a total thrusting force of 2.0 x 104 N. (c) What is the acceleration of the rocket? Fnet = m a FA = + 20 000 N m m a = ? Fnet Fnet = + 12 650 N a = m m = 750 kg 12 650 N = 750 kg Wt. = - 7350 N a = 17 m/s2

3. A rocket of mass 450 kg takes off and accelerates at 12.0 m/s2. Determine the total thrusting force from the engines. Wt. = m g = ( 450 kg )( 9.8 m/s2 ) = 4410 N FA = ? a = 12 m/s2 Fnet = m a = ( 450 kg )( 12 m/s2 ) = 5400 N Fnet = 5400 N m = 450 kg Fnet = FA + Wt. + 5400 N = FA + ( - 4410 N ) + 4410 N + 4410 N Wt. = 4410 N FA = 9810 N

4. A rocket of mass 1500 kg has engines that exert a total thrusting force of 5.0 x 104 N. Find the upward acceleration of the rocket. Wt. = m g = ( 1500 kg )( 9.8 m/s2 ) = 14 700 N FA = 50 000 N Fnet = FA + Wt. a = ? = ( + 50 000 N ) + ( - 14 700 N ) Fnet = 35 300 N = 35 300 N m = 1500 kg Fnet = m a m m Fnet 35 300 N Wt. = 14 700 N a = = m 1500 kg a = 24 m/s2