A car drives horizontally off a 73-m cliff at a speed of 27 m/s. ignore air resi

Question

A car drives horizontally off a 73-m cliff at a speed of 27 m/s. ignore air resistance How long will It take the car to hit the ground? 2.0 s 3.2 s 3.9 s 4.9 s 5.0 s How far from the base of the cliff will the car hit? 74 m 88 m 100 m 170 m 280 m Riders of a Ferris wheel move in a circle with a speed of 4.0 m/s. As they go around, they experience a centripetal acceleration of 2.0 m/s^2. What is the diameter of this particular Ferris wheel? 4.0 m 6.0 m 8.0m 16m 24 m A 5.0 kg block has an acceleration of 0.20 m/s^2 when a force is exerted on It. A second block has an acceleration of 0.10 m/s^2 when subject to the same force. What is the mass of the second block? 10 kg 5.0 kg 2.5 kg 7.5 kg While standing in a low tunnel, you raise your arms and push against the ceiling with a force of 100 N. Your mass is 70 kg. What force does the ceiling exert on you? 10N 100 N 690 N 790 N 980N What force does the floor exert on you? 10 N 100 N 690 N 790 N 980 N A 1.75 kg book is sitting on a stationary table. What is the magnitude and direction of the force exerted on the book by the table? 172 N, up 172 N, down 18.6 N, up 18.6 N, down

Explanation / Answer

31)

From t he kinematic equation

s = uyt+ 1/2 at^2

73 = ( 0) t + 1/2 * 9.8 t^2

t = 3.9 s option (a) is correct

(32)

x = u t = 27* 3.9 = 104.21 m

rounding to one significnat digit x = 100 m

(33)

a = v^2/ r

r = v^2/a

=( 4)^2/ 2

=8 m

diameter d = 2r = 2( 8) =16 m

(34)

F = ma = 5*0.2 = 1N

m = F/a = 1 N//0.1 =10 kg

(35)

from the Newtons third law of motion

every action there is an equal and opposite reaction

reaction force 100 N

(36)_

N = mg = 70*9.8 = 686 N

rounding two siginificant digits 690 N

(37)

N = mg = 1.75 * 9.8 = 17.2 UP

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