Math Problem Solver

1. A stationary observer sees a cannonball moving at a constant speed of 20 m/s after

being shot off a boat moving at a constant 5.0 m/s in the same direction. How far

does the captain on the boat observe the cannonball traveling over 5.0 s?

2. A parachuter, falling at a constant 4.9 m/s, drops a physics textbook 98 m above the

ground. How long does it take for the textbook to fall to Earth?

3. A person slips and falls onto the ground with a force of 25 N while on a conveyor

belt moving at a constant speed. What force does an observer, running at a constant

speed of 12 m/s, observe the person falling.

4. A person accelerates from rest at 0.40 m/s2 on top of a railroad car moving at a

constant velocity of 5.0 m/s in the same direction. What is the acceleration of the

person with respect to the ground?

Homework

5. A stationary observer sees a cannonball moving at a constant speed of 15 m/s after

being shot off the back of a boat moving at a constant 5 m/s opposite the direction

of the cannonball. How far does the captain on the boat observe the cannonball

traveling over 6.0 s?

6. A person rising at a constant 9.8 m/s on a hot air balloon drops a package to

observers on the ground. If the people on the ground receive the package 5.0 s later,

how far above the ground is hot air balloon when the package is dropped?

7. A box of 15 1L seltzer bottles has a mass of 15 kg when stationary. What is the

normal force exerted by the object when on a conveyor belt moving at a constant

speed of 2 m/s?

8. A spaceship’s headlights are turned on while traveling at a speed of 0.5 c and

pointed towards a moon 12 light minutes away as measured by an Earth observer.

How long does it take for the moon to appear illuminated to an observer on Earth?