Bob

You are observing a planet orbiting a distant star. You measure the radius of orbit to be around 1.5 AU (1 astronomical unit = the distance from the earth to the sun) and that the planet is in the same position in the sky every 23 days.

1. What is the mass of the star?

2. Express your answer in units of earth masses.

To find the mass of a mountain, a researcher hangs a plumb bob from a line and measures the angle the bob is pulled by the mountain. You find the angle the plumb bob is pulled to be 0.5 degrees when you are 12km away from the mountain. What is the mass of the mountain?

What is the acceleration of a Toyota Sienna if you are pushing on it with a force of 23N? The mass of a Toyota sienna is 750kg.

A large rock is being transported on a trailer by a landscaper. If the rock slides across the truck bed it will damage the lining of the bed. If the coefficient of static friction between the rock and the truck bed is 0.5 and the truck is travelling at 55km/hr…

What is the maximum acceleration the truck can experience if it needs to stop at a stoplight?

Over what distance could the truck stop?

At what velocity must you launch a pumpkin from a cannon such that when your friend standing at the top of a 565m deep canyon can catch it a 0m/s velocity?

You are standing next to the edge  of a canyon when you exert superhuman strength and throw a ball straight up at a velocity of 456 m/s. You see the ball hit the canyon floor 145.5m below. What is the total time the ball spends in the air?

A parachutist is falling at a constant velocity of 10 m/s when they drop a gourd. If the parachutist is 20m above the ground when they drop it, how fast will the gourd hit the ground?

A person is holding a gourd moving upwards in a hot air balloon at a constant velocity of 7 m/s when they drop the gourd. If the balloon is 24m above the ground, how fast with the gourd hit the ground?

You are standing on the rim of a canyon. You drop a rock and in 7.0 seconds you hear the sound of the rock hitting the bottom of the canyon. How deep is the canyon if sound travels at a constant velocity of 343 m/s?

A person stands on the edge of a 3.3 m tall cliff. The person then throws a ball at a speed of 12.5 m/s at an angle of 47 degrees. What is the:

A: Max height the ball reaches?

B: The total time in the air? 

C: Max distance the ball reaches?

If you have any advice, I would greatly appreciate it!

At what velocity must you shoot out a pumpkin from a cannon that your friend standing on the edge of a 565m tall canyon can catch it at a velocity of 0 m/s?

You are standing next to the edge of a canyon when you exert superhuman strength  and throw a ball straight up at a velocity of 456 m/s. You see it hit the canyon floor 145.5m below. What is the TOTAL time the ball spends in the air?

A parachutist is falling at a constant velocity of 10 m/s when they drop a toy car. If the parachutist is 20m above the ground, how fast will the toy car hit the ground?

A person is holding a gourd that is moving upwards at a constant velocity of 7m/s when they gourd. If the balloon is 24m above  the ground, what speed will the gourd hit the ground?