# Question Solved1 Answerplease complete all questions 8. A 10 kg box is pulled along a smooth (frictionless) surface by a 40N force at an angle of 30 degrees to the horizontal. Determine the: a. Acceleration of the box. (3.46 m/s?) b. Magnitude of the normal force on the box. (78 N) 9. A 12.0 kg bucket is lowered vertically by a rope in which there is 163 N of tension at a given instant. What is the acceleration of a bucket? Is it up or down? (3.8 m/s) 10. A net force of 265 N accelerates a bike and rider at 2.30 m/s. What is the mass of the bike and rider? [115 kg] 11. How much tension must a rope withstand if it used to accelerate a 960 kg car horizontally along a frictionless surface at 1.20 m/s?? [1.15 x 10°N] 12. A 20.0 kg box rests on a table. a. What is the weight of the box and the normal force acting on it? b. A 10 kg box is placed on top of the 20.0 kg box. Determine the normal force that the table exerts on the 20.0 kg box and the normal force that the 20.0 kg box exerts on the 10 kg box. 13. What is the average force required to stop an 1100 kg car in 8.0 s if the car is travelling at 95 km/hr.(-3.6 x 10°N)

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Transcribed Image Text: 8. A 10 kg box is pulled along a smooth (frictionless) surface by a 40N force at an angle of 30 degrees to the horizontal. Determine the: a. Acceleration of the box. (3.46 m/s?) b. Magnitude of the normal force on the box. (78 N) 9. A 12.0 kg bucket is lowered vertically by a rope in which there is 163 N of tension at a given instant. What is the acceleration of a bucket? Is it up or down? (3.8 m/s) 10. A net force of 265 N accelerates a bike and rider at 2.30 m/s. What is the mass of the bike and rider? [115 kg] 11. How much tension must a rope withstand if it used to accelerate a 960 kg car horizontally along a frictionless surface at 1.20 m/s?? [1.15 x 10°N] 12. A 20.0 kg box rests on a table. a. What is the weight of the box and the normal force acting on it? b. A 10 kg box is placed on top of the 20.0 kg box. Determine the normal force that the table exerts on the 20.0 kg box and the normal force that the 20.0 kg box exerts on the 10 kg box. 13. What is the average force required to stop an 1100 kg car in 8.0 s if the car is travelling at 95 km/hr.(-3.6 x 10°N)
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Transcribed Image Text: 8. A 10 kg box is pulled along a smooth (frictionless) surface by a 40N force at an angle of 30 degrees to the horizontal. Determine the: a. Acceleration of the box. (3.46 m/s?) b. Magnitude of the normal force on the box. (78 N) 9. A 12.0 kg bucket is lowered vertically by a rope in which there is 163 N of tension at a given instant. What is the acceleration of a bucket? Is it up or down? (3.8 m/s) 10. A net force of 265 N accelerates a bike and rider at 2.30 m/s. What is the mass of the bike and rider? [115 kg] 11. How much tension must a rope withstand if it used to accelerate a 960 kg car horizontally along a frictionless surface at 1.20 m/s?? [1.15 x 10°N] 12. A 20.0 kg box rests on a table. a. What is the weight of the box and the normal force acting on it? b. A 10 kg box is placed on top of the 20.0 kg box. Determine the normal force that the table exerts on the 20.0 kg box and the normal force that the 20.0 kg box exerts on the 10 kg box. 13. What is the average force required to stop an 1100 kg car in 8.0 s if the car is travelling at 95 km/hr.(-3.6 x 10°N)
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(1)Solution:- Part(8):(a) Equation of balanu fore in y-dirn{:[R+F sin 30^(@)=mg],[R+40 xx sin 30^(@)=10 xx9.8],[R+20 N=98R=R=(98-20)N],[R=78N]:}(a){:[F_(x)=ma],[F cos 30^(@)=ma=>a=(4varphi cos 3i^(@))/(1varphi)],[a=(4cos 30^(@))N],[a=3.46m//s^(2)]:}Hence Parta a=3.46m//s" Partb "quad R=78N". "Parot (9):{:[m=12kg.quad T=163N],[T-mg=ma],[163N-12 xx9.8N=12 a],[163N-117.6N=12 a],[(163-117.6)N=12a],[a=(45.4(N))/(12(kg).)],[a=3.783m//s^(2)],[" or "],[a=3.8m//s^(2)up]:}Part(10):{:[f=ma=>m=(F)/(a)],[m=(265(N))/(2.30((m)//s^(2)))],[m=115.22kg.],[" OR "],[m=115kg.]:}Part(1) :m=960kg.quad a=1.20m// ... See the full answer