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At the surface of Earth, the escape velocity of a 2 kg projectile is about 11 km/s when air resistance is ignored.

For a 4 kg projectile, the corresponding escape velocity is



An unknown planet has mass 20 times that of the Earth and 20 times of its radius. If Pedro is weighing 700N on  

Earth, what would be his weight on this new planet?



A fidget spinner of radius R=0.05m has a moment of inertia l=1.25 x 10^-4 kg m^2 and is rotating at 8.40 rad/s. A large fly whose mass is 0.3 kg lands onto the edge of the rotating spinner. Calculate the angular speed of the system after the fly falling onto the spinner.
A tug tows a small boat with a rope inclined upward at 30 °to the horizontal the tension in the string is 2000N what is the first tending to raise the boat out of the water
A box of wood is acted upon by two forces of magnitude 20N and 30N acting inclined at an angle of 90 ° to each other calculate the resultant force which set the box into motion

A vertical spring (ignore its mass), whose spring stiffness constant is 950 N m-1

is attached to a table. The spring is compressed down 15 cm and a 300 g ball

placed on it. The spring is then released and the ball flied off vertically. Determine the initial speed of the ball


A spring undergoing a state of deformation. Explain the energy changes involved in the process


Solve the following kinematic and free-fall problems. Show your

complete solution and box your final answer. Be sure to have a unit for your final answer and direction, when needed.





11. A phone falls from a bridge after being slapped away in the trend of ‘smack cam’ videos. The

phone falls from the bridge with an initial downward velocity of 0.4 m/s. (6pts)


a. How far would it fall when it’s been falling for 2 seconds?


b. If it fell for 50m, what would be its final velocity?


Solve the following kinematic and free-fall problems. Show your

complete solution and box your final answer. Be sure to have a unit for your final answer and direction, when needed.


10. The equation for the velocity of an airplane slowing to a stop to the East on an airway is

𝑣⃗(𝑡) = 70𝑚/𝑠² 𝑡 − 44𝑚/𝑠³ 𝑡². Derive the formula for its instantaneous acceleration and find the velocity when t=1s. (3pts)




Solve the following kinematic and free-fall problems. Show your

complete solution and box your final answer. Be sure to have a unit for your final answer and direction, when needed.



9. A cat moves from its resting spot under a tree to a nearby building to shelter from the rain. If it took 5 seconds for the cat to travel and the displacement of the tree to the building is 167 meters NW, what was its average velocity? (1pt)


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