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1. What is the force exerted by Big Ben on the Empire State building? Assume that Big Ben has a mass of 10^8 kilograms and the Empire State building 10^9 kilograms. The distance between them is about 5000 kilometers and Big Ben is due east of the Empire State building
2. How far apart are the centers of two objects with masses of 4,100kg and 6,500kg. The graviational attraction between them is 86 N.
3. The moon has a mass of 7.35 x 10^22 kg and a radius of 1.738 x 10^6 m. At what speed must a rocket be launched from the moon's surface so as not to fall back to the moon.
4. What must be the radius of a star of mass 2 x 1030 kg so that the escape speed from this star is equal to 2 x 10^8 m/s
d) The unit–vector notation of the two vectors a = 4.0i + 3.0j and b = −13.0i + 7.0j. Determine
the magnitude and direction of a + b [4mks
How do you derive the equation τ = k θ for a torsion spring? τ is torque, k is torsion spring’s constant, and θ is displacement in radians. Thanks!
calculate the force of gravity of the husband and wife, the husband has a mass of 85kg and the wife has a mass of 65kg. they are 0.75 m apart
a student on roller skates glides across a floor with a lunch tray. Total mass is 1.3 kg at waist level 1.1 above the floor from the cash register to her table 23.4 m away how much work is done
) A skater with mass m=68.5 kg moving initially at 2.4 m/s on rough horizontal ice, comes to
rest uniformly in 3.52 s due to the friction from the ice. What force does friction exert on
the skater? [4 mks]
b) The acceleration of a particle is given by a(t)=At – Bt2
, with A=1.5 m/s3
and B=1 m/s4
. The
particle is at rest at time t=0 at the origin.
i) Find its velocity as function of time [3 mks]
ii) Calculate vmax [3 mks]
c) Write the expression of the centripetal acceleration in an uniform circular motion in terms of
the period T, the time for one revolution
) The unit–vector notation of the two vectors a = 4.0i + 3.0j and b = −13.0i + 7.0j. Determine
the magnitude and direction of a + b [4mks]
A particle moves along a straight line with constant acceleration a=3 m/s2
. At t=0 the
position of the particle is x0=3 m and the particle is at rest (v0=0).
i) Find the position and the velocity of the particle at t=2 s [3 mks]
ii) Find the position of the particle when v=30 m/s [3 mks]
2. What is the image distance and image size if a 3.00-cm tall light bulb is placed at a distance of 30.5 cm from a diverging lens having a focal length of -10.2 cm?
1. What is the image distance and image size if a 10.00 cm. tall light bulb placed a distance of 91 cm. from a convex lens having a focal length of 30.8 cm ?
