A truck collides with a car, and during the collision, the net force on each vehicle is essentially the force exerted by the other. Suppose the mass of the car is 550 kg, the mass of the truck Is 2200 kg, and the magnitude of the truck's acceleration is 10 m/s². Find the magnitude of the car's acceleration.

The figure shows Atwood's machine, in which two containers are connected by a cord (of negligible mass) passing over a frictionless pulley (also of negligible mass). At time t = 0 container 1 has mass 1.2 kg and container 2 has mass 2.7 kg, but container 1 is losing mass (through a leak) at the constant rate of 0.21 kg/s. At what rate is the acceleration magnitude of the containers changing at (a)t = 0 and (b)t = 5 s? (c) When does the acceleration reach its maximum value? (a) Number (b) Number (c) Number Units Units Units Click if you would like to Show Work for this question: Open Show Work

A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels from the ground after t seconds is given by s(t) = -16 t² + 560 t. Apply calculus to find the velocity of the rocket 3 seconds after being fired. Two objects move on a horizontal frictionless surface along the same line in the same direction which we shall refer to as the forward direction. The trailing object of mass has a velocity of forward. The leading object of mass has a velocity of forward. The trailing object catches up with the leading object and the two objects experience a completely inelastic collision. By using the rule of conservation of Momentum, calculate is the final velocity of each of the two objects?

The force on an object moving through a viscous fluid (like honey) is F = -bv, where v is the speed of the object. What are the SI units of b? O kg/s kg/s² kg/m O kg/m² O kg/m · s O none of these

A net force is applied in the positive directions to an object moving in one dimension. The graph of the force is below. The mass the object is 2.00kg . If the initial velocity of the object is m -1.00- what is the velocity of the object after this force is applied? S 4 1 2 3 4 time (s) force (N)

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 frog with some sort of little monster on his back is swimming in a bathtub of split tomato soup. The frog's mass is m1 = 0.0280 kg, and the monster's mass is m2 = 0.0300 kg. The frog propels the monster and himself forward with a constant force of F = 0.440 N and accelerates at a constant rate of a = 2.65 m/s^2.  a) What is the resistive force of the split tomato soup on the frog? b) If the frog starts at rest at one side of the bathtub and swims across its length in t = 1.91 s, how long is the bathtub? c) How much work is done by the split tomato soup on the frog?

Two objects (m1=11.0 kg and m2=3.00 kg) are separated by 40.0 cm. A third object (m3=1.00 kg) is placed at a location along the line connecting them such that the net force acting on it is zero. By considering the force vectors, this location must be between the two original objects. We will define x as the distance between m1 and m3 and y as the distance between m2 and m3.   1) Find the distance between 11.0-kg object and 1.00-kg object along the line AB where a small, 1.00-kg object could rest such that the net gravitational force on it due to the two objects shown is exactly zero. (Express your answer to two significant figures.)

A flea jumps by exerting a force of 1.02 x 10-5 N straight down on the ground. A breeze blowing on the flea parallel to the ground exerts a force of 1.16 × 10-6 N on the flea. Find the direction and magnitude (in m/s²) of the acceleration of the flea if its mass is 6.0 × 107 kg. (Let us assume that F points to the right. We will consider this to be the +x direction and vertical to be the +y wind direction.) magnitude 17.1 Did you draw a free-body diagram, and identify the forces acting on the flea? Consider the forces acting on the flea during the time it is in contact with the ground. m/s² direction 6.49 Review vector components. In which of the four quadrants is the resultant force located?° (measured clockwise from the vertical) Tutorial Supporting Materials Physical Constants Submit Answer

It may appear at first glance that Newton's 2nd and 3rd laws are independent claims. This, however, is not true - Newton's 3rd law is simply a consequence of Newton's 2nd law. In this problem, you will prove Newton's 3rd law for the normal contact force between two objects, using only Newton's 2nd law. Consider two blocks with masses m₁ and m₂ in contact, with external forces F₁ and F2 applied, as shown in the figure. The free body diagram for each block is also given, with internal forces fa and f, as shown. F₁ F₁ fa fb ΣF = ΣF = m₁ m2 Submit F₂ Complete the equations of motion for the entire system, as well as blocks 1 and 2 individually. Note, the forces have a signed magnitude, where positive values correspond to the positive x-direction ΣF= = (m₁ + m₂) a = m₁ a = m₂ a Use the above equations to write fa in terms of only fr: fa = m₁ You have used 0 of 4 attempts m₂ F₂ Save Calculator