A cart filled with sand rolls at a speed of vcart = 1.4 m/s along a horizontal path without friction. A ball of mass m = 2.6 kg is thrown with a horizontal velocity of vball = 9.8 m/s toward the cart as shown in the figure below. The ball gets stuck in the sand. What is the velocity of the cart after the ball strikes it? The mass of the cart is 14 kg. (Assume the positive xdirection is to the right. Express your answer in vector form.) ?m/s

The acceleration of an object due to air resistance is a = -bư/m, where v is the %3D speed of the object and m is its mass. What are the SI units of b? O kg/s O kg/s? O kg/m kg/m? O kg - m/s? none of these

The acceleration of a particle moving along the = -7 t + 4 t* + 3 t2, 7. x-axis is given by the function where a is in meters per second squared and t in seconds. What is the particle's velocity at t = 2 s if the object's mass is 11.3 kg and has an initial velocity of 1.6 m/s?

A soccer ball is kicked with a speed of 9.0 m/s at an angle of 25° above the horizontal. Write the ball's velocity in terms of rectangular unit vectors, using the standard notation that î is horizontal and ĵ is vertical.

In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N and F2 = 4N in the xy plane. At time t = 0, the object is at point 0 and its speed is V = 2i + j (m / s). What is the acceleration of the particle and its position after 2 seconds in terms of the unit vector?

A ball of mass 0.4 kg, initially at rest, iskicked directly toward a fence from a point20 m away.The velocity of the ball as it leaves thekicker’s foot is 17 m/s at angle of 38 ◦abovethe horizontal. The top of the fence is 4 mhigh. The ball hits nothing while in flight andair resistance is negligible.The acceleration due to gravity is 9.8 m/sDetermine the time it takes for the ball toreach the plane of the fence.Answer in units of s.

You are working part-time for the GT Sports Media Complex, editing video for the women’s softball team. In one particular clip, a GT player hits a home run over the center field fence. The ball leaves the bat at a height of 4 ft, and crosses the outfield fence (220 ft away) at a height of 10 ft. Logs of the game indicate that the pitch was clocked at 68 mph as it reached the plate. Your frame-by-frame analysis of the 30-frame-per-second video indicate that the ball spent only a single frame in contact with tha bat, and another 126 frames travelling to the outfield fence. A quick internet seach tells you that a typical college softball weighs 0.4 lb. How many pounds of average force act on the ball during ocntact with the bat?

Two blocks are attached to opposite ends of a massless rope that goes over a massless, frictionless, stationary pulley. One of the blocks, with a mass of 6.0 kgkg accelerates downward at 3/4g. What is the mass of the other box?

A 1.4 gram bullet is shot into a tree stump. It enters at a velocity of 341 m/sec and comes to rest after having penetrated the stump in a straight line. It takes 0.00032 sec to come to a stop after striking the stump. What was the force on the bullet during impact?  (answer in Newtons)

The muzzle velocity of a typical 500 g spud is 25 m/s . The force given by the spud is K/(x+.09) where x is the distance of the barrel in meters. If the length of the barrel is 75 cm, what is the constant K? What is the force on the spud?