Problem A) A 3.0 kg object has two forces acting on it. Force F1 = (18i + 10j)N while F2 is unknown. The velocity at t = 6 seconds is v = (12î + 243)m/s. If the object was initially at rest, determine F, and its displacement at t = 6 s in unit vector notation. Assume that these are the only two forces acting on the object.

What is the acceleration of the blocks? What is the magnitude of the friction force between blocks A and B?

Tom enlists the help of his friend John to move his car. They apply forces to the car. F1 = 430 N and F2 = 347 N and friction is negligible. Mass of car = 3500 kg O1= -25 degrees and O2 = 12 degrees (assume the car faces the positive x-axis before the forces are applied. A) Find the force (in N) exerted on the car     Magnitude =     Direction (counterclockwise from the +x-Axis) = ______________ degrees B) What is the acceleration (in m/s squared) of the car?     Magnitude =   __________ m/s squared     direction (counterclockwise from the +x-Axis) ______________ degrees

A car of mass 822 kg is traveling 26.4 m/a when the driver applies the brakes, which lock the wheels. The car skids for 4.47 s in the positive x direction before coming to rest. What is the cars acceleration in m/ s2? what magnitude force in N acted on the car during this time? How far in m did the car travel?

Objects shown in the figure collide and stick and move together (no friction is considered). Consider positive direction from left to right. Find the velocity after the colision m,=2 kg V,= 8 m/s m= 4 kg V= 10 m/s

Blocks 1 and 2 are moving to the right on a frictionless surface by the tension TB = 36 N as shown. m1 = 2.0 kg, and m2 = 3.2 kg. What is the magnitude of the acceleration of block 2, in m/s²? Your answer needs to have 2 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement. m₁ TA m₂ TB

2. A mass of 2.50 kg is at rest at time = 0. Do not consider friction in this problem. Two vector forces are applied to the mass. What is the resulting vector acceleration? F1 = 2.40 i + 1.50 j Newtons. F2 = 5.00 Newtons at an angle of 25.0°with the positive X axis.

A 3.00-kg object is acted upon by an applied force causing it to move along a rough horizontal plane, with its x 5t² - 1 and y = 3t3 + 2, where x and y are in meters and t is in seconds. The and y coordinates given by x = coefficients of friction between the object and the surface are 0.4 and 0.8. Answer the following questions: a. What are the units of the numerical coefficients? b. Determine the acceleration of the object as a function of time. c. Determine the Net force acting on the object at t = 5s.

An object of mass 5 kg is acted on by two forces F1 = 6 i N and  F2 = 7 j N. What is the magnitude of the net acceleration? Give your answer in m/s2 to 2 sf.  The magnitude must be a positive number.

Instructions Use g = 10 m/s2 Always answer in standard units (SI units). Unless otherwise instructed.  Answer to 2 decimal places. Unless otherwise instructed.  A) One way to determine the coefficients of friction (μs and μk) between two surfaces is to use an incline plane. Consider a block of mass m = 2.0kg initially at rest at the top of the ramp. The angle θ is increased slowly. The object starts to slide down the ramp when the angle is 40 degree. Determine the value of μs.  B)  From the above problem, the block slides down the slope with an incline angle of 40 degree, the angle is kept constant. The block starts from rest and travels along the ramp by distance d  = 2.0 m in time t = 1.5 s. Determine the value of μk