Peter Frag alla PHY201 Professor Dolise CircularMatien werkshet day) of 24hrs 1)

Question

Peter Frag alla PHY201 Professor Dolise CircularMatien werkshet day) of 24hrs 1) Mars has a mass of 6.419 x 10 kg, a radius of 3.397 x 10' m and a rotational period (length of 37m 22s. Find the orbital radius and altitude of a synchronous communication satellite orbiting Mars. 2) The Martian year is 1.881 Earth years. What is Mars' distance from the Sun 3) a) What is the ratio of the Sun's tational force on the Earth to the Moon's force? Space Shuttle gravit Earth's force on the 79,135 kg b) What is the ratio of the Moon's gravitational force to the orbiter Atlantis when it is in orbit (167.0 km above Earth's surface). 910.000 kg asteroid and a 41,000 are apart. There are no other bodies nearby. Find the acceleration of the asteroid the and velocities after 800 s possible for and spacecraft, their Is it 5) A car of mass m goes around an unbanked curve of radius 30.0 at a velocity of 25 m/s. 35 m The ball's mass is 0 a wall, exerting displacement s after hitting the wall? The ball is in contact with the wall for is the ball's The Saturn V rocket (used to launch Apollo spacecraft) has a mass of 54x 10 kg. The first stage booster has five engines which each deliver a thrust of 1.48 x 10 N.Neglecting mass loss, Chain what is the acceleration of the rocket? 8) An amusement park ride called The swing consists of a chair hanging from a m long top of the chain is attached to a rotating the When the ride is in motion, the chair moves in a horizontal circle and chain makes an angle of 25.0° with the vertical (see diagram). Ifa rider experiences a radial acceleration of 3g what is the ride's period? 9) In the diagram at right, Mi 5.55 kg, Ma -2.33 kg. is in A)What is the minimum coefficient of static friction such that the system B) What is the maximum value for M, so that equilibrium is still possible? 10) A car of mass M goes around an unbanked curve of radius R. Find the maximum velocity the car can have and still stay on the road. as 11) In the diagram at right, a mass M- 175 kg is hanging from two cables shown. Find the tension in each cable. 0 35.0, 44.0 A 1.75 kg ball is hed to 2 identical rubber bands, as shown. The in attac let go of the ball, it will sag rubber bands are attached to a wall. When you (Find down. What angle will the rubber bands make with the horizontal? terms of T, the tension in each rubber band)

Explanation / Answer

m1 =910,000 kg , m2 =41,000 kg, d =200m

From universal law of gravity

F = Gm1m2/d^2

From newtons second law F =ma

Acceleration of asteroid a1 = Gm2/d^2

a1 =(6.67*10^-11*41000)/(200*200) =6.84*10^-11 m/s^2

Acceleration of space craft a2 = Gm1/d^2

a2 =(6.67*10^-11*910000)/(200*200) = 1.52*10^-9 m/s^2

t =8s , u =0

From kinematic equations v =u+at

velocity of astroid v1 = 0+(6.84*10^-11*8) = 54.72*10^-11 m/s

Velocity of space craft v2 = 0+(1.52*10^-9*8) = 12.16*10^-9 m/s

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