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An SUV and a truck are approaching a crossroad. The SUV has a mass of 1760 Kg and is headed from north to south at 18.6 m/s. The 2500 kg truck is moving from west to east. with a speed of 11.5 m/s. Determine the x- and y- components of the total momentum of this system. Take to the north and to the east as +y and +x directions respectively.
A hockey player hits a stationary 200 g puck with a hockey stick of mass 1200 g for 0.02 s. The puck then moves away from the player with a speed of 60 m/s. Determine the average force exerted by the hockey stick on the puck during this contact time if the speed of the hockey stick was 35 m/s.
Determine the change in momentum of a car during the time interval t = 2.0 s to t = 3.0 s, if a force F̄ = 78î -22tĵ is applied to the car, where F is measured in N and t in s.
A rocket scientist is developing a rocket to be launched vertically from the surface of the earth. The rocket will have a total mass of 275,000 kg. This mass includes 175,000 kg of fuel. The rocket engine generates 3.5 × 106 N of thrust and consumes all of the fuel in 340 seconds at a constant rate. Consider that all the fuel has been consumed. What would be (i) the speed of the rocket during the vertical takeoff and (ii) the speed of the rocket if it were launched in a region of space where the effect of gravitation is negligible?
A 110-kg linebacker is sprinting at a speed of 2.5 m/s towards the south. He is brought to a halt by a head-on collision with an offensive lineman moving directly towards him due north. Determine the impulse experienced by the offensive lineman during the tackle.
Impulse is defined as the change in momentum of an object. Determine the magnitude of the impulse that will be exerted on a 2kg block by the force shown in the figure below.
A bullet with a mass of 80 g is fired horizontally into a block of wood with a mass of 800 g, causing the block to slide forward with a velocity of 2.5 m/s. The bullet gets embedded in the wood. Determine the initial speed of the bullet before it collides with the block of wood which is initially at rest.
Calculate the impulse through integration during a rocket's launch, given the force on a rocket is represented by F=[741−(2.5×105 s−1)t]N from t=0 to t=2.0×10−3 s time interval.
During a football match, a player attempts to score a goal, but he misses and the ball with a speed of 55 m/s hits the goalpost and rebounds back with the same speed. The force exerted by the goalpost on the ball is depicted in the graph below. Determine the maximum force exerted by the goalpost on the ball if the mass of the football is 425 g. Consider the motion towards the right as positive.
A satellite with a mass of 5.0 × 106 kg is moving at a speed of 2.5 × 106 m/s. Due to a major technical issue, the satellite explodes into 3 fragments. One of the fragments with a mass of 7.5 × 105 kg continues forward at a speed of 1.5 × 106 m/s. The second fragment moves in the backward direction at a speed of 0.5 × 106 m/s. Find the speed and direction in which the third fragment moves, if the mass of the second fragment is 6.0 × 105 kg.
A rocket experienced a launch anomaly and exploded into four parts. The first part has a mass of 4000 kg and a velocity of 7.5 km/s ĵ. The second part has a mass of 3500 kg and a velocity of 1.1 km/s î +4.5 km/s ĵ. The third part has a mass of 5000 kg and a velocity of -1.2 km/s î +3.5 km/s ĵ. The velocity of the fourth part of mass 500 kg is -0.5 km/s ĵ. Calculate the velocity of the rocket prior to the explosion.