The dependence of the velocity of a 3.0 kg particle on time is given by i = (8t)î+ (3t²)j in m/s with time t in seconds. What is the angle between the net force F acting on the particle and the linear momentum of the particle at t = 2 s? %3D

A 0.550 kg hammer is moving horizontally at 8.00 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board. (a) Calculate the duration of the impact in seconds. s (b) What was the average force in newtons exerted on the nail? N

An 2000 kg asteroid travels through space at a constant 3 km/s in the +x direction. An alien spaceship lands on the asteroid and grabs it. The spaceship has a mass of 2400 kg and was traveling at 8 km/s at an angle of 40 degrees relative to the +x-axis (towards the northeast) before the collision. What is the magnitude and direction of the asteroid and spaceship’s velocity after the landing? Include a sketch of the before and after motion, with coordinate system.

Answer parts d, e and f

One day while out on a space walk to repair your ship, you notice that you have forgotten to tie off your tether! You and the heavy wrench you are carrying are drifting slowly away from the ship with a velocity of V₁ = -2.58 m/s (this is negative since you are moving left in the figure). Your mass (including your suit) is M = 150 kg and you are carrying a wrench of mass m = 9.15 kg. You are one smart astronaut and and you throw the wrench in the direction away from your ship as hard as you can. The result is that afterward, your velocity is V₂ = 0.70 m/s (this is positive since you are now moving right in the figure). V₁ positive Moment 1: I Momentum-SpaceWrench V₂ = ? positive Determine all the following: The velocity of the wrench at moment 2: V₂ = m/s The total kinetic energy of you and the wrench before the throw: KE₁ The total kinetic energy of you and the wrench after the throw: KE₂ = Where did all the extra energy come from at moment #2? Positive work done by you while throwing…

A 0.400 kg hammer is moving horizontally at 4.00 m/s when it strikes a nail and comes to rest after driving it 1.00 cm into a board. (a) Calculate the duration of the impact in seconds.   s (b) What was the average force in newtons exerted on the nail?   N

What is the linear momentum of a 74.0 kg object on the Equator, as measured from the center of Earth? The radius R of Earth is 6371 km.

Two rolling carts are moving toward each other at the same speed. Cart 1 has a mass m1 =200g and Cart 2 has a mass m2 =400g. Draw a velocity vector v → for each cart. Momentum p → is a vector defined as p → = m v →. Draw a momentum vector for each cart. Then add the two momentum vectors together to find the total momentum, vector P total =vector p1 + vector p2

Two rolling carts are moving toward each other at the same constant speed of 10m/s. Cart 1 travels to the right with a mass m1 = 0.2kg and while Cart 2 travels to the left with a mass m2 = 0.4kg. Draw a velocity vector v→ for each cart.

3. Train cars are coupled together by being bumped into one another. Suppose two loaded train cars are moving toward one another, the first having a mass of 1.50 x 105 kg and a velocity of (0.35 m/s)î , and the second having a mass of 1.10 x 105 kg and a velocity of –(0.10 m/s)î . What is their final velocity? V = (0.30 m/s)î V21 = -(0.12 m/s)î