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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. = N m = 1000 kg Wt. = N
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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 = N m = 1000 kg Wt. = N
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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 = N m = 1000 kg Wt. = 9800 N
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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 = FA + ( ) Fnet = N m = 1000 kg FA = N Wt. = N
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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 = N Wt. = m g = ( 750 kg )( 9.8 m/s2 ) Wt. = N m = 750 kg so FA = N Wt. = 7350 N
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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 = N Fnet = FA + Wt. Fnet = ( ) + ( ) Fnet Fnet = N m = 750 kg Wt. = N
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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 = N m m a = ? Fnet Fnet = N a = m m = 750 kg N = 750 kg Wt. = N a = 17 m/s2
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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 ) = N FA = ? a = 12 m/s2 Fnet = m a = ( 450 kg )( 12 m/s2 ) = N Fnet = N m = 450 kg Fnet = FA + Wt. N = FA + ( N ) N N Wt. = 4410 N FA = N
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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 ) = N FA = N Fnet = FA + Wt. a = ? = ( N ) + ( N ) Fnet = N = N m = 1500 kg Fnet = m a m m Fnet N Wt. = N a = = m 1500 kg a = 24 m/s2
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